Whenever I watch Ted Talks about Education like this one by John Green that I watched tonight and listen to students ask the question "When am I going to use this?" I hear people that are critical of the current education system and it causes me to reevaluate the education system that I am part of.
Education is correctly described as a series of hurdles that students need to jump over so they can graduate, get a "good job" and then be happy. At least that is what students are told by parents and many teachers. Last week I was teaching a Geometry lesson early in the year about measuring angles using a protractor. A student looked at me and asked "When am I ever going to use this?" and I had to honestly answer "You probably will never use this in your lives." The student was a bit shocked that a teacher would give an honest answer. The buzz in the class continued, so I continued to explain. "The reason why you need to learn Geometry is because it is on the SAT and the ACT, the two college entrance exams. You also need to learn Geometry is because it will prepare you for Algebra 2, which will prepare you for Pre-Calculus, which is equivalent to what is called 'College Algebra' in most colleges and this is a requirement for most college degrees. So you need to learn Geometry, but not because you will use every idea that we study someday." Essentially I was describing the hurdle system of an "outdated system" (Sugata Mitra's TED Talk).
The outdated system of education is seen in many ways. It is seen in the number of college graduates who can't find a job. It is seen in high school graduates who were only prepared for college, and then chose not to go to college. These high school graduates are then completely unprepared for life as an adult. The outdated system is seen when parents see their high school and college graduates struggle in the world and wonder why their "Get good grades" mantra didn't prepare their children for success in the real world.
If I were to re-invent education from scratch to prepare students for the 21st century. Education would look very different from how it does today. I imagine it wouldn't be bound by heavily structured schedules. It wouldn't include all of the math, science, history, English, etc. that are required for high school graduation. I think the place that we need to start is asking the question: "What do all adults need to know?" instead of asking what is required for to prepare students for college. I imagine a system that is not bound by grades, but results in authentic products that can be shared. I imagine a system where students are taught how to collaborate with each other and work together for a common goal. I don't know exactly what it would look like and how to hold students accountable, but I know that it wouldn't be like what we have today.
Essentially, it boils down the fact that I feel like a cog in an outdated education system. I know that there is a better way, but I feel powerless to make any changes. I don't want to leave my secure job of teaching because I have a family to provide for. Reflections like this draw me back to Project Based Learning, because I believe that this develops skills that are useful outside of school. I just need people to collaborate with. What would a truly Project Based Learning Geometry or Statistics class look like? How do we prepare students for the 21st century and for a future world that is unlike our current one?
This is my blog about education. I am a math teacher in Japan who has flipped my class. I also love technology in education.
Monday, September 21, 2015
Wednesday, August 12, 2015
Changes I would like to see in public education
I have always wondered why politicians and policy makers are the ones who make important decisions about education. Just because they have been through an educational program does not mean that they understand how to administer one. Why are educators and educational professionals not more involved in the decisions that impact students? Part of the reason is that teachers are kept so busy that they don't have time to get involved in these decisions.
If anyone asked me, here are some of the changes that I would like to see in public education.
The only reason that I have heard for not starting later is that it would cut into practice time for sports and other extra-curricular activities. If this is true, I wish that we would value education over sports.
If anyone asked me, here are some of the changes that I would like to see in public education.
1. Shorten summer vacation
The first change that I would like to see is a shorter summer vacation. Two and a half months is so long that many students forget things they spent nine months to learn. This can happen in one of two ways, we can treat public education more like year-round schools and have more days off during the school year or we can simply add more academic days to the school calendar. I want summer vacation to be no longer than six weeks.
This is also when the educational gap happens between the low and high socioeconomic students. Generally speaking middle and high socioeconomic parents provide educational experiences for their students during the summer (for example reading programs at the library) but low socioeconomic parents may not. If we want to be serious about closing the educational gap, then we need to shorten summer vacation.
In Japan their summer vacation is six weeks long (mid-July until the end of August), but their school year does not start in August. It starts in April. I never realized the pedagogical implications of this until recently. Imagine completing the first semester at school, leaving for summer vacation and coming back to the same teachers. Those teachers know what you learned and how you learned it and would be the best ones to remind you of what you learned during the previous semester. Teachers would also be more aware of the importance of teaching for long term memory.
In Japan their summer vacation is six weeks long (mid-July until the end of August), but their school year does not start in August. It starts in April. I never realized the pedagogical implications of this until recently. Imagine completing the first semester at school, leaving for summer vacation and coming back to the same teachers. Those teachers know what you learned and how you learned it and would be the best ones to remind you of what you learned during the previous semester. Teachers would also be more aware of the importance of teaching for long term memory.
2. Start school later
Research shows that adolescents aren't fully awake until later in the morning. My school starts at 7:40, which was an improvement from a few years ago when we started at 7:20. My school goes from 7:40 until 2:15. I wonder why we couldn't go from 8:40 until 3:15. One extra hour of sleep would help my students. I also think that more students would eat breakfast if they had a little more time in the morning.The only reason that I have heard for not starting later is that it would cut into practice time for sports and other extra-curricular activities. If this is true, I wish that we would value education over sports.
3. Pay teachers more by cutting spending in other places
When I was in college I had very intelligent friends who were studying engineering who told me that they would go into education if they would be paid more. We need great teachers for our students and many potential great teachers go into other fields because of how poorly teachers are paid. I also know that about 50% of teachers leave within the first five years of teaching. The teachers who drop out of teaching are frequently the ones who have the right heart. They do everything they can to help their students but they get burned out and the appeal of getting paid more to do less makes them leave. I would not be in favor of increasing taxes to pay teachers more. I see potential in three places, but there may be more.
First is textbooks. I listened to a podcast where an administrator explained that they paid teachers to work through the summer to develop a curriculum to use the next school year. The administrator used the money that they would have spent on textbooks to pay the teachers. There are many reasons why I love this idea. One reason is that the teachers at the school better understand their demographic of student than the textbook writers. It is true that teacher preparation programs would need to include a class or more on curriculum development, but this would be a great thing for every teacher to understand. If throwing out the textbook is too extreme, I would at least like to see schools purchase only the student edition of the textbooks. I don't know any great teachers who heavily use the supplementary materials with the exception of a test generator software. Teachers don't need the teacher's edition or the workbooks of the other things that commonly come with the textbook. I don't know if I am a great teacher, but these materials just sit on my shelf and accumulate dust. Great teachers pull from other sources.
First is textbooks. I listened to a podcast where an administrator explained that they paid teachers to work through the summer to develop a curriculum to use the next school year. The administrator used the money that they would have spent on textbooks to pay the teachers. There are many reasons why I love this idea. One reason is that the teachers at the school better understand their demographic of student than the textbook writers. It is true that teacher preparation programs would need to include a class or more on curriculum development, but this would be a great thing for every teacher to understand. If throwing out the textbook is too extreme, I would at least like to see schools purchase only the student edition of the textbooks. I don't know any great teachers who heavily use the supplementary materials with the exception of a test generator software. Teachers don't need the teacher's edition or the workbooks of the other things that commonly come with the textbook. I don't know if I am a great teacher, but these materials just sit on my shelf and accumulate dust. Great teachers pull from other sources.
A second place that schools can cut back is their spending on educational technology. In every school that I have taught in I have seen tens of thousands of dollars (even hundreds of thousands in a 1 to 1 program) of educational products rolled out to teachers with minimal professional development. The honest truth is if you simply give an experienced teacher a new device they will continue teaching as they always have. The interactive white board will replace the white board and marker with little change. The 1 to 1 laptop will replace the computer at home. This money is being pored into education and no one is talking about the fact that educational outcomes, like standardized test scores don't change. I wouldn't be opposed to teachers getting new technology when they ask for it, but I am opposed to dumping technology into a school without the professional development to make teacher's practice better than it was before. I know that this money is usually earmarked for technology, but why?
A third place that I think that schools can cut back is on janitorial services. In Japanese schools they don't have janitors. About once a week the entire school stops and cleans the school. All students and teachers clean desks, bathrooms, pull weeds on their dirt fields, etc. I think students would treat the facilities better if they helped clean them. Also, this would teach students important skills in cleaning that they could use at home, when they are at college or have a family of their own.
A third place that I think that schools can cut back is on janitorial services. In Japanese schools they don't have janitors. About once a week the entire school stops and cleans the school. All students and teachers clean desks, bathrooms, pull weeds on their dirt fields, etc. I think students would treat the facilities better if they helped clean them. Also, this would teach students important skills in cleaning that they could use at home, when they are at college or have a family of their own.
4. More professional development and collaboration
If teachers are being paid more, then more can be expected from them. For example teachers could work through the month long summer break. Also as the academic school year is lengthened, teachers could frequently come into work when there are no students. Here is a list of things they can do:
- Receive and give professional development. This could be as simple as teachers holding classes on things they feel experienced with that other teachers could attend.
- Work in a PLN to develop a new lesson and then have that lesson taught. This idea is sometimes called Lesson Study. This practice has been used in Japan and over time has improved their level of pedagogy.
- Prepare lesson plans and then have administrators visit classrooms more frequently.
I would also like to see more collaboration between teachers. I don't mean a forced PLN, but something that happens naturally with teachers who are willing. At the very least I wish that teachers were encouraged to visit other teacher's classrooms to watch them teach and then discuss the lesson with that teacher.
This happens formally in some schools in Japan. They are called Research Lessons. The teacher prepares a lesson that focuses on a skill that they are developing as a teacher. Then when they teach that lesson anyone is invited to attend: administrators, other teachers, university students studying education, even parents I have heard. Then following that lesson they hold a formal discussion where they answer questions about pedagogical choices that they made. I would love to see something like this develop in American schools.
5. Standardized Tests should measure students, not teachers
This list would not complete if I didn't say something about standardized tests. I am blessed to teach for the Department of Defense and have avoided many of the stresses of standardized tests. My students take at most two standardized tests per year, the PSAT (9th - 11th graders) and the Terra Nova (only 9th graders). What I think my school system does very well is how the schools use the data. It gives the teachers and administrators information about where we are weak as a school. The data is not paired to individual teachers and no teacher would get fired if their students don't do well. This also means that we don't dedicate any test prep time out of our time to teach content.
If the standardized test should affect anyone, it should affect the students. Right now there is nothing to motive the students besides something external like a pizza party if everyone does well. In Japan the only equivalent to standardized tests that I know about are Entrance Exams. Students have to take an entrance exam to get into college, high school, and sometimes even junior high school and elementary school. Some schools are better than others and everyone knows it. Students want to get into the best schools to prepare them for a better future. I don't think a school system like this would work in America, but I do believe that Japanese students do their best on these exams because it has a direct impact on them.
If the standardized test should affect anyone, it should affect the students. Right now there is nothing to motive the students besides something external like a pizza party if everyone does well. In Japan the only equivalent to standardized tests that I know about are Entrance Exams. Students have to take an entrance exam to get into college, high school, and sometimes even junior high school and elementary school. Some schools are better than others and everyone knows it. Students want to get into the best schools to prepare them for a better future. I don't think a school system like this would work in America, but I do believe that Japanese students do their best on these exams because it has a direct impact on them.
Final Thoughts
I know that I don't have plans for all of these ideas, but I believe that plans could be developed with collaboration with many educational professional. I also know that many of these ideas would not be supported by most teachers. For example most teachers wouldn't be in favor of losing their summer vacation, losing their afternoons, and having other teachers visit their class. I believe that these changes would be better for students and that is why I would like to see them.
If you agree or disagree with some of these changes or if I missed a change that you want to see in education please leave a comment below.
Tuesday, August 11, 2015
Japanese Mathematics Vocabulary: "We don't use this word."
I had an interesting experience several weeks ago. I recently finished my Masters Degree in Education specializing in English Language Learner Education and I am now adapting my teaching practice to help my English Language Learners.
I realized that there was a lot of mathematics vocabulary that I didn't know in Japanese and I was limited when I was explaining something to my Japanese speaking students. So I contacted my friend who is a mathematics teacher at Kanagawa Sogo High School and has very good English. I went thought my Geometry textbook and wrote down most of the vocabulary words and a few others that I felt I would want to know in order to explain Geometry to my students in Japanese. I had somewhere around 250 words.
When we sat down and began going through the words, my friend kept saying "_________ is the word for that, but we don't use this word." I would guess that somewhere around one third of the vocabulary words that I brought, they don't use in their K-12 education. Perhaps some of this is the difference in curriculum. However my friend said that they would simply describe the word. For example we teach the word "colinear" but in Japanese schools they would simply describe the points as being on the same line or draw a picture. The same thing with coplanar, skew lines, exterior angles. and the list goes on. There isn't even a word in Japanese for a linear pair, they simply call them supplementary angles or explain that because they make a straight line, their measures would add to 180 degrees.
I walked away from our meeting wondering why we have so many vocabulary words in Geometry and mathematics in general. Because I will be teaching a Mathematics Lab next year with students from Algebra as well, I asked about some Algebra words. I again found that words like "leading coefficient" and others were not used in Japanese K-12 education. We teach students vocabulary words for concepts that we study for only one or two days. I think part of the reason is the way we were taught, so there is a culture of education that focuses on vocabulary words.
I think Japanese education is correct when they limit the vocabulary words that they teach to the most important words that will be used throughout the course, not for a few days. Limiting the number of vocabulary words would make the mathematics more accessible to all students. However, I am afraid to do this in my practice because if I do not expose them to these words, then I will be hurting my advanced students when they go to future math classes and their teacher is using a word that I thought was unnecessary. The change has to happen in the curriculum, starting with the textbooks.
Tuesday, September 23, 2014
Classroom Culture: Too Focused on "The Correct Answer."
American Classroom Culture
Today we had an emergency drill and a half day, so each class was only 25 minutes long (compared to the 85 that we are used to on a block schedule). So instead of doing mathematics directly, I decided to play a game: You start out with 21 beans. Each player can take 1, 2 or 3 beans. The person who goes last, wins. It is a very simple game. I wanted the class to know that there is more to this game than just beans, so I told the students that "There is a winning strategy." and "If anyone can beat me, then I will give them a piece of candy."
As students played this game and challenged me, they were looking for the "correct strategy." Only one or two students per class figured it out, mostly by watching me and analyzing my "correct strategy." Now that I reflect on this experience, I shouldn't have said "There is a winning strategy" I should have simply said "If you can beat me, then I will give you a piece of candy." By implying that there is only one correct strategy made students focus on what I was doing instead of exploring other ways to play this game.
In addition to this, my gut instinct as a teacher is to tell everyone the "correct answer" at the end of the class period. I resisted this urge and most students left class without understanding how to win the game every time.
Japanese Classroom Culture
Several months ago I watched two classes solve a simple question. The first class was an 8th grade class and the second was a 7th grade class. The question was if you cut a cube diagonally, what is the shape of the cross section:
image from: The Electronic Journal of Mathematics and Technology, Volume
2, Number 1, issn 1933-2823.
Retrieved from: http://lib.znate.ru/docs/index-134315.html on Sept 24, 2014
In order to solve this problem, you need to use of the Pythagorean Theorem. The 8th grade students had learned about the Pythagorean Theorem, therefore many of them figured it out. However there were groups who did not figure it out and the teacher did not give the answer at the end of the class period.
The 7th grade students haven't studied about Pythagorean Theorem. Very few students in this class solved the problems, but the teacher did not give any hints or give the answer at the end of the period. But the students still worked until the end trying to solve it.
"Correct Answer" or Process
From watching these Japanese lessons, I realized that I am too "correct answer" focused. I knew going into our bean game that I wasn't going to tell the entire class the strategy. The reason is, if students know that they will get spoon fed the answer at the end, then they loose the incentive to solve it next time. It is the process that we are more concerned about anyway, right?
Tuesday, May 13, 2014
The Power of Synchronous Flipped Classrooms
Asynchronous
In education social media, it seems that teachers favor asynchronous learning over synchronous learning. citing reasons like:
Last year I tried to teach an asynchronous flipped Geometry class. The students were allowed to work at "their own pace" to watch videos and complete textbook problems. I knew that I needed more deadlines than just the end of the year, so every student was required to take the test on the same day. What I found is that the majority of my students didn't finish all the notes and practice before the end of the unit.
What I did find from the data is that there was a stronger correlation with students doing well on assessments and students doing the textbook problems and than students who watched the videos and took notes. So I decided to restructure my class so we focused on completing this practice during class and everyone would work at the same pace.
Synchronous Flipped Learning
What I found was the stronger students were more willing to help weaker students because they were doing the same problem at the same time. When I taught asynchronously, everyone was at a different place so they all wanted my help. I ran around like crazy answering questions and checking off work. The discussions between students are much richer and deeper because they aren't trying to finish their work, they are trying to understand concepts and do problems.
So the entire class follows a pacing calendar. The students are expected to come to class having taken the notes. We also take an open note daily quiz. If students come to class without notes, they don't do well on the daily quiz, but I still allow them to participate in the practice with us. Most synchronous flipped teachers don't allow students who don't have the notes to participate in the practice. They make them watch the video during the practice. I personally have chosen not to do this for two reasons. First I believe that the in-class practice is so much more powerful than doing problems out of a text book, especially for the weaker students who don't come to class prepared. Secondly, these students were in an asynchronous flipped mastery class the previous year, I am afraid that these students will simply get behind and never catch back up. Then I am back to the same problems I had last year, except I would have minimal time to work with these students individually because I am working with the rest of the class. Maybe the social motivation that other teachers state is more powerful in the younger grades. I just didn't think it would be enough of a motivation with my high school students.
I understand that this is not the ideal. In fact, the students who come to class having taken notes generally stated that they have "mastered" or are "getting the hang" of a new idea by the end of the class period. Five of the 13 students who come to class half the time or more without notes stated that they were not getting the hang of the new idea by the end of the class. But this is 5 out of my 85 students, and these are students who would probably struggle anyway.
Another reason that I prefer the synchronous flipped classroom is that parents and students seem to understand it better. Meaning that I have to do far less explaining about what the model is and how it is used.
My Situation
I understand that every teaching situation is different. Maybe my bias is a result of trying to use Flipped Mastery from my first year of flipping. Maybe if a did a traditional flip first and then moved to Flipped Mastery then I would have had the opposite experience. But from talking to other flipped teachers and students at my school, I don't think so. I still think there is more power the synchronous flipped classroom than in the asynchronous flipped classroom.
Comments?
Are you a flipped class teacher who has had the opposite experience? Do you disagree with my assessment? Please comment below.
In education social media, it seems that teachers favor asynchronous learning over synchronous learning. citing reasons like:
- Students can go at their own pace.
- When students get stuck, they can slow down and understand that concept before they move on.
- Not all students learn at the same rate.
- Since students can go at their own pace, they put off their math homework because it isn't necessarily due tomorrow.
- When students get stuck, they lose the pace of the class and then they can't catch back up with the class.
- It is true that not all students learn at the same rate, but everyone is supposed to finish the curriculum by the end of the year. You will be constantly pushing the slower students.
Last year I tried to teach an asynchronous flipped Geometry class. The students were allowed to work at "their own pace" to watch videos and complete textbook problems. I knew that I needed more deadlines than just the end of the year, so every student was required to take the test on the same day. What I found is that the majority of my students didn't finish all the notes and practice before the end of the unit.
What I did find from the data is that there was a stronger correlation with students doing well on assessments and students doing the textbook problems and than students who watched the videos and took notes. So I decided to restructure my class so we focused on completing this practice during class and everyone would work at the same pace.
Synchronous Flipped Learning
What I found was the stronger students were more willing to help weaker students because they were doing the same problem at the same time. When I taught asynchronously, everyone was at a different place so they all wanted my help. I ran around like crazy answering questions and checking off work. The discussions between students are much richer and deeper because they aren't trying to finish their work, they are trying to understand concepts and do problems.
So the entire class follows a pacing calendar. The students are expected to come to class having taken the notes. We also take an open note daily quiz. If students come to class without notes, they don't do well on the daily quiz, but I still allow them to participate in the practice with us. Most synchronous flipped teachers don't allow students who don't have the notes to participate in the practice. They make them watch the video during the practice. I personally have chosen not to do this for two reasons. First I believe that the in-class practice is so much more powerful than doing problems out of a text book, especially for the weaker students who don't come to class prepared. Secondly, these students were in an asynchronous flipped mastery class the previous year, I am afraid that these students will simply get behind and never catch back up. Then I am back to the same problems I had last year, except I would have minimal time to work with these students individually because I am working with the rest of the class. Maybe the social motivation that other teachers state is more powerful in the younger grades. I just didn't think it would be enough of a motivation with my high school students.
I understand that this is not the ideal. In fact, the students who come to class having taken notes generally stated that they have "mastered" or are "getting the hang" of a new idea by the end of the class period. Five of the 13 students who come to class half the time or more without notes stated that they were not getting the hang of the new idea by the end of the class. But this is 5 out of my 85 students, and these are students who would probably struggle anyway.
Another reason that I prefer the synchronous flipped classroom is that parents and students seem to understand it better. Meaning that I have to do far less explaining about what the model is and how it is used.
My Situation
I understand that every teaching situation is different. Maybe my bias is a result of trying to use Flipped Mastery from my first year of flipping. Maybe if a did a traditional flip first and then moved to Flipped Mastery then I would have had the opposite experience. But from talking to other flipped teachers and students at my school, I don't think so. I still think there is more power the synchronous flipped classroom than in the asynchronous flipped classroom.
Comments?
Are you a flipped class teacher who has had the opposite experience? Do you disagree with my assessment? Please comment below.
Wednesday, May 7, 2014
Grammar Tools in Communicative Language Teaching
I am taking a class at the University of North Dakota that asked us to do an action research project. Part of that project is to share our research and finding with other teachers. So, being the Flipped Learning teacher that I am, I created a video.
The video overviews the problem, my interventions, and the results that I saw. If you are interested in some tools that will help you teach English Grammar and you use the Communicative Language Teaching approach, you may find this helpful.
The video overviews the problem, my interventions, and the results that I saw. If you are interested in some tools that will help you teach English Grammar and you use the Communicative Language Teaching approach, you may find this helpful.
If you have any comments or questions about this research, please let me know in the comments below. Thanks!
Thursday, May 1, 2014
Talent Show 2014
For the past three years I have performed at my school's Talent Show. It all started on March 11, 2011 when there was the 11.0 Earthquake in Japan and Fukushima disaster. About half of the students at my school left. The faculty was desperately looking for more acts to fill out the Talent Show, so I volunteered to sing. I have been involved in Musical Theater since I was in 7th Grade. I have performed in 12 musicals, many of which were lead roles. For example I have been Harold Hill in The Music Man, Warbucks in Annie, and Sky Masterson in Guys and Dolls.
After that first year it has become a tradition that I perform something. However this year I decided to do something special. My talented wife and I decided to perform a duet. We sang "Love is an Open Door" from Frozen. It isn't as good as the movie, but I think we did a pretty good job; especially if you consider that we started rehearsing on Monday and the Talent Show was on Wednesday.
Enjoy!
After that first year it has become a tradition that I perform something. However this year I decided to do something special. My talented wife and I decided to perform a duet. We sang "Love is an Open Door" from Frozen. It isn't as good as the movie, but I think we did a pretty good job; especially if you consider that we started rehearsing on Monday and the Talent Show was on Wednesday.
Enjoy!
Monday, April 21, 2014
Stories One Word at a Time
I know that I usually post about Mathematics Education, but I am getting a Masters Degree in Education with an emphasis on English Language Learners. I also teach a free English Conversation Class at my church once a week. This class has a 60 minute lesson and then a 30 minute game. Last week I took a game that I learned from my Drama Students (oh year, my wife and I also run the Drama program at my school).
The students sat in a circle and told a story one word at a time. One of the teachers wrote the story on the board so everyone could see it. The story didn't make much sense. It started off with one of the teachers sleeping and then her bike was flying and then a plane flew between football goal posts, etc. It was all over the place. One aspect of this game that I really enjoyed was that it required students to think about grammar and word choice. We had to corrected the grammar as we went and have short discussions about what is correct and why and it was a great way to emphasis basic grammar including articles, which my students struggle with. My students were initially taught English in a very structured setting with worksheets, this was a very open activity which stretches their abilities.
If you have an ESL class, I would encourage you to try a game like this.
The students sat in a circle and told a story one word at a time. One of the teachers wrote the story on the board so everyone could see it. The story didn't make much sense. It started off with one of the teachers sleeping and then her bike was flying and then a plane flew between football goal posts, etc. It was all over the place. One aspect of this game that I really enjoyed was that it required students to think about grammar and word choice. We had to corrected the grammar as we went and have short discussions about what is correct and why and it was a great way to emphasis basic grammar including articles, which my students struggle with. My students were initially taught English in a very structured setting with worksheets, this was a very open activity which stretches their abilities.
If you have an ESL class, I would encourage you to try a game like this.
Flipped Geometry Survey Results
When I was a student teacher, my cooperating teacher taught me that I need to embrace my students and allow them to teach me how to be better. Because of that, every year of my teaching I have given my students at least one survey, if not more than one.
At the beginning of the fourth quarter in school year 2013-2014, I gave my Geometry students the following survey using Google Forms. I love Google Forms!! The survey is anonymous, but I told the students that I will be using these results to make decisions about next year so please be honest.
If you are curious here is the Survey:
From time to time I see students who are watching the video with earbuds in, but I notice that their earbuds are plugged into their music instead of the computer. So I was curious if this makes a difference.
Next I will move to one of the most important relationships to overall success in my class.
Now if I separate the above data by whether or not they come to class having taken notes we see some powerful results:
The students who almost always have notes understand the material when they leave, while those who usually don't have notes may be getting the hang of it, but may be confused.
I was surprised that so many students were interested in optional problems. I don't know what I am going to do about this. The idea of it being optional makes me wonder if students would do it. Maybe make it extra credit or something. I need to think about this more.
Finally their third quarter grade separated by how frequently they come to class having taken notes.
If you almost always come to class having taken notes, you will probably get an A or a B. If you usually come to class having taken notes, then you will probably get a B or a C. If you usually don't come to class having taken notes, you will probably get a C or a D. I was shocked at how clear this data was.
One incredible thing about this relationship is whether of not you always come to class having taken notes is something that each student has control over. I think students feel that their grade is determined by how "good they are at math" and although this is true, they have control over how good they get at Geometry, by whether or not they always come to class having taken notes.
Statistics
The AP Statistics teacher in me needs to put a disclaimer. There is a "confounding variable" of each student's dedication to school and ability. Does taking notes make you get better grades? Or do students who get better grades always take notes because that is what they do as a student?
I don't want to imply any cause and effect relationships with this data because it was an observational study. But I think students will understand that if you come to class having watched the video and taken notes, you will be prepare for the practice, you will understand the practice, and then do better on assessments and therefore do better on the class overall.
This data was collected in my class, with my students, within my teaching model. These results can't be used in other Flipped math classes.
Comments or Questions?
If you have any comments about this data or the analysis, please comment below.
At the beginning of the fourth quarter in school year 2013-2014, I gave my Geometry students the following survey using Google Forms. I love Google Forms!! The survey is anonymous, but I told the students that I will be using these results to make decisions about next year so please be honest.
If you are curious here is the Survey:
Many of the results were not surprising, I will show them in the tables below.
I was curious how long it takes students to complete the notes. I commonly assign one or two videos as homework. So students can expect to have an average of 15 to 20 minutes per video.
The amount of time students spent on one video seemed independent of their overall success in the class. Some students who struggle spend more time on the videos and some students spend more time, which help them do very well. The opposite is also true. Some strong students don't need to take a lot of time on notes and some weak students should spend more time.
From time to time I see students who are watching the video with earbuds in, but I notice that their earbuds are plugged into their music instead of the computer. So I was curious if this makes a difference.
This relationship wasn't very strong, but in general, students who get As and Bs in my class listen to the videos. It was more common among C, D, and F students that they listened to me less often.
Next I will move to one of the most important relationships to overall success in my class.
The relationship between watching videos before class and overall success was much stronger than I expected it to be. Every student who got an A or B in my class either Always watches the video or usually watches the video. Students who got Cs, Ds, or Fs came to class less frequently having watched the video and taken notes.
Students can ask themselves, do I want to act like an A or B student, or a C, D, or F student? Students who act like A or B students usually get As or Bs. And it starts with consistently coming to class prepared.
The next question is about our Daily Quiz. The quizzes I give are only 3 questions and students can use their
notes. The questions are written so that if you watched the video and
took good notes, all three questions should be easy, but if you haven't
watched the video you may only get one correct.
I was very surprised to learn that 77% of my students felt that having a Daily Quiz is a motivation to take better notes. I realized that I spent longer assessing whether or not students watched the videos and took notes than the length of the notes. Meaning I was considering doing away with Daily Quizzes and just showing the video at the beginning of class. This survey taught me that students need more time than the length of the video to process it, and the daily quiz is a motivation to take better notes with more examples.
This is what I hoped would happen when I decided to give daily quizzes and I am very glad that this is what is happening.
We spend about 60 minutes each class period going over problems. I present a problem on the board and the students do the problem on individual white boards or on paper. After doing this for 60 most of the students feel that they have mastered the idea or are getting the hang of it.
There were two students who said "I usually feel just as confused as before we started." I looked very closely at the responses of these two students. These are also students who frequently didn't come to class having taken notes and these are students who "Only listen to Mr. Lewis if I don't understand." This is probably why they are confused.
Now if I separate the above data by whether or not they come to class having taken notes we see some powerful results:
The students who almost always have notes understand the material when they leave, while those who usually don't have notes may be getting the hang of it, but may be confused.
I was surprised that so many students were interested in optional problems. I don't know what I am going to do about this. The idea of it being optional makes me wonder if students would do it. Maybe make it extra credit or something. I need to think about this more.
Finally their third quarter grade separated by how frequently they come to class having taken notes.
If you almost always come to class having taken notes, you will probably get an A or a B. If you usually come to class having taken notes, then you will probably get a B or a C. If you usually don't come to class having taken notes, you will probably get a C or a D. I was shocked at how clear this data was.
One incredible thing about this relationship is whether of not you always come to class having taken notes is something that each student has control over. I think students feel that their grade is determined by how "good they are at math" and although this is true, they have control over how good they get at Geometry, by whether or not they always come to class having taken notes.
Statistics
The AP Statistics teacher in me needs to put a disclaimer. There is a "confounding variable" of each student's dedication to school and ability. Does taking notes make you get better grades? Or do students who get better grades always take notes because that is what they do as a student?
I don't want to imply any cause and effect relationships with this data because it was an observational study. But I think students will understand that if you come to class having watched the video and taken notes, you will be prepare for the practice, you will understand the practice, and then do better on assessments and therefore do better on the class overall.
This data was collected in my class, with my students, within my teaching model. These results can't be used in other Flipped math classes.
Comments or Questions?
If you have any comments about this data or the analysis, please comment below.
Wednesday, April 2, 2014
Homework in a Flipped Math Class?
I spend more time assessing if my students did notes than the length of the video(s).
This morning I had a realization. I spend more time assessing whether or not my students did notes (via a 3 Question Daily Quiz and me checking notes) than it would take to watch the video in class. For example it may take around 20 or 25 minutes to hand out Daily Quiz Papers, check each student's notes, and correct the Daily Quizzes. The videos are about 10 minutes long and I assign one or more commonly two for homework. This means that I could simply show the video during class and either gain 10 minutes or not lose any time at all.
This is powerful for many reasons:
The downside is that many students watch the video, pause it to write notes, etc. like they are supposed to. I personally love the idea of my students taking notes for homework because they can take notes at their own pace. I would hate to change the nature of the class because a few students think the notes are more important than learning from the video. I know that the videos are available online, therefore they could go back and take better notes if they want, but I don't know if they would.
After this realization ...
If I do decide to simply watch the videos during class, I realized that the video doesn't have to come at the beginning of the class period. It could come somewhere in the learning cycle. Whenever I hear Ramsey Musallam (Twitter: @ramusallam) talk about the importance of exploration, learning cycles, and his explore-flip-apply model I completely agree but I struggle knowing how to do it in Geometry in my classroom. This could be one way that I can do it.
My class could:
No homework in a math class?
This will only work if I don't assign any homework at all. No matter what I assign for homework, I will want to go around the room and assess it. This generally takes 20 to 30 minutes of valuable class time. On the other hand if I limit our math learning to 85 minutes every other day, I wonder if this will be a detriment or not. Assigning homework is a great time to have more time on task, especially for my lower students. When I am considering making a change my first thought is "How will it impact my lower students?" My top students will be fine as long as I deliver content, but my low students need support.
Explore-Flip-Apply?
If my students are only working during class, then a struggle is created between exploring and applying. I want to keep my students together. I am afraid that I might spend too much time exploring or applying and not keep up with the pace of the class.
I really struggled last year with asynchronous learning, my top students went really fast and my lowest students went really slow. If I keep them all together then the top students help the lower students. This is especially important my classes because the difference between high students and low students is really wide (at a high school with no honors math classes in a class required for every student).
Well...
This blog post isn't as enlightening as I hoped it would be. But it has helped me think through some different possibilities that I need to keep thinking about.
If you have any suggestions or comments, please leave them below. I would love to read your thoughts.
This morning I had a realization. I spend more time assessing whether or not my students did notes (via a 3 Question Daily Quiz and me checking notes) than it would take to watch the video in class. For example it may take around 20 or 25 minutes to hand out Daily Quiz Papers, check each student's notes, and correct the Daily Quizzes. The videos are about 10 minutes long and I assign one or more commonly two for homework. This means that I could simply show the video during class and either gain 10 minutes or not lose any time at all.
This is powerful for many reasons:
- I have seen several students watching the video while listening to music. So they aren't hearing my explanations and listening to my think-alound as I do one or two example problems.
- I have also seen other students who fly through the notes because they move the video scroll bar to where I have writing and pause it, then move the video scroll bar to where I have writing, ... or in other words copy from the video instead of watching and listening.
The downside is that many students watch the video, pause it to write notes, etc. like they are supposed to. I personally love the idea of my students taking notes for homework because they can take notes at their own pace. I would hate to change the nature of the class because a few students think the notes are more important than learning from the video. I know that the videos are available online, therefore they could go back and take better notes if they want, but I don't know if they would.
After this realization ...
If I do decide to simply watch the videos during class, I realized that the video doesn't have to come at the beginning of the class period. It could come somewhere in the learning cycle. Whenever I hear Ramsey Musallam (Twitter: @ramusallam) talk about the importance of exploration, learning cycles, and his explore-flip-apply model I completely agree but I struggle knowing how to do it in Geometry in my classroom. This could be one way that I can do it.
My class could:
- Spend some time exploring a concept using a paper activity, web activity, NCTM Illuminations activity, etc ...
- Then watch the video and taking notes
- Do some practice activities using problems from the textbook, or completing some task to show mastery.
- Synthesize their learning with a detailed summary.
No homework in a math class?
This will only work if I don't assign any homework at all. No matter what I assign for homework, I will want to go around the room and assess it. This generally takes 20 to 30 minutes of valuable class time. On the other hand if I limit our math learning to 85 minutes every other day, I wonder if this will be a detriment or not. Assigning homework is a great time to have more time on task, especially for my lower students. When I am considering making a change my first thought is "How will it impact my lower students?" My top students will be fine as long as I deliver content, but my low students need support.
Explore-Flip-Apply?
If my students are only working during class, then a struggle is created between exploring and applying. I want to keep my students together. I am afraid that I might spend too much time exploring or applying and not keep up with the pace of the class.
I really struggled last year with asynchronous learning, my top students went really fast and my lowest students went really slow. If I keep them all together then the top students help the lower students. This is especially important my classes because the difference between high students and low students is really wide (at a high school with no honors math classes in a class required for every student).
Well...
This blog post isn't as enlightening as I hoped it would be. But it has helped me think through some different possibilities that I need to keep thinking about.
If you have any suggestions or comments, please leave them below. I would love to read your thoughts.
Tuesday, March 25, 2014
Teaching in the Information Age
Many people, including Sir Ken Robinson, have talked about the fact that our education system was created for the Industrial Age. Students are required to take similar classes and the hope, originally, was that they all graduate with similar abilities. The education system realized that this is not possible, so it has been adjusting to meet individual needs, a.k.a. "Differentiated Instruction." In other words an Industrial education system is trying to adapt to meet new demands in the Information Age, but I don't know if it will be able to adjust fast enough, especially because the Information Age changes very rapidly.
Information Age Tools
Let me tell you of an experience I had that is not uncommon. Last week, in a Geometry class, there was a day for students to work on their quarter projects and I there was one student who had finished his project. I told him to turn it in and he can do work for a different class. He was working on either Literature or History, I couldn't tell. But this student, who is a very good student, was constantly doing web searches to make sure that he understood the questions on his worksheet and that the answer he wrote down on his worksheet was correct. I have seen this repeated during a study hall period, and watching my students work in my classroom before school, after school, and during lunch. Today's high school students are aware of the Information Age tools that are available to them, and they use them. I think that the days is gone when teachers can close the door and assume that we are teaching in a vacuum. Students carry devices with them that open the door, not only to the entire school, but to a world and history full of information. Maybe it is time for teachers to have their students do more web searches and fewer worksheets.
What does an Information Age Classroom look like?
The next logical question is, what would an Information Age classroom look like? What kind of classroom would prepare our students for the future that they will be working in? My answer is ... I don't know. I imagine that it would have the four c's from the Partnership for 21st Century Skills of communication, collaboration, critical thinking, and creativity. I imagine that it is more project based learning and less content front-loaded instruction. I imagine that it is more open ended solution finding, than finding the "correct" answer. There are complex problems in the world that need to be solved, and students need to be taught how to handle those problems with the tools in their era, not a past one.
My Classroom
I would love to say that my classroom is like this, but it is not. I am still trying to figure out how to adjust my teaching to meet these needs. My last major shift has been to flip my class. I think my next shift will be to more project based learning because I believe that this is what students will need to develop 21st Century Skills. My hesitation has to do with the need to still prepare students for their next math class and future math classes. I will get there, not because I need to, but because my students need me to.
If you have suggestions or examples of what PBL looks like in a Geometry or Statistics class, please comment below.
Information Age Tools
Let me tell you of an experience I had that is not uncommon. Last week, in a Geometry class, there was a day for students to work on their quarter projects and I there was one student who had finished his project. I told him to turn it in and he can do work for a different class. He was working on either Literature or History, I couldn't tell. But this student, who is a very good student, was constantly doing web searches to make sure that he understood the questions on his worksheet and that the answer he wrote down on his worksheet was correct. I have seen this repeated during a study hall period, and watching my students work in my classroom before school, after school, and during lunch. Today's high school students are aware of the Information Age tools that are available to them, and they use them. I think that the days is gone when teachers can close the door and assume that we are teaching in a vacuum. Students carry devices with them that open the door, not only to the entire school, but to a world and history full of information. Maybe it is time for teachers to have their students do more web searches and fewer worksheets.
What does an Information Age Classroom look like?
The next logical question is, what would an Information Age classroom look like? What kind of classroom would prepare our students for the future that they will be working in? My answer is ... I don't know. I imagine that it would have the four c's from the Partnership for 21st Century Skills of communication, collaboration, critical thinking, and creativity. I imagine that it is more project based learning and less content front-loaded instruction. I imagine that it is more open ended solution finding, than finding the "correct" answer. There are complex problems in the world that need to be solved, and students need to be taught how to handle those problems with the tools in their era, not a past one.
My Classroom
I would love to say that my classroom is like this, but it is not. I am still trying to figure out how to adjust my teaching to meet these needs. My last major shift has been to flip my class. I think my next shift will be to more project based learning because I believe that this is what students will need to develop 21st Century Skills. My hesitation has to do with the need to still prepare students for their next math class and future math classes. I will get there, not because I need to, but because my students need me to.
If you have suggestions or examples of what PBL looks like in a Geometry or Statistics class, please comment below.
Friday, March 14, 2014
Japanese Research Lesson
On March 21st I was invited to visit a junior high school in Wakoshi of Saitama-ken. A "research lesson" was being taught by two different teachers. So we saw the same lesson twice. Once with eighth grade students and then with seventh grade students.
Previous Lesson
The lesson prior to this lesson the students were given this picture. It is a cube. Points P and Q are the midpoints of the sides.
The students were asked "What kind of quadrilateral is PQGF?" The students used nets to think it through. I wasn't present for this lesson so I don't know the details of this lesson. It turns out that PQGF is a rectangle.
This Lesson
Then in this class, the students were given this picture. Points P and Q are the midpoints of the sides.
The question that was asked to the students is "What kind of quadrilateral is DQFP?" The students were given time individually to think about it, and then the teacher asked students to raise their hand based on what shape they thought it was. The common answers were square and rhombus, but there were students who thought it was a rectangle, parallelogram. I was impressed that no student was concerned of the social implications of their initial guess. I think that if I asked this question to my students, many students would vote how the few "smart" students vote. I was impressed that students felt safe enough to voice their thoughts, even if they were the only ones.
After students made their initial guess, the students got in groups of 3 in their han. (Their han is a grouping of about 6 students. These groups are set at the beginning of the year and are the same throughout the entire year). Since students had different opinions, they were to discuss their reasoning and as a group decide on what shape they thought it was and why. The students were also given the following net:
As they were reasoning, they were invited to use that net. Some students drew the shape they thought the lid was and then cut it out to see if it matched. For example the groups that thought it was a square constructed a square on the net and then cut it out. Or I saw one group who thought it was a rhombus, construct a rhombus of two equilateral triangles and see if it matched. Neither of these worked. I saw another group cut out the net as shown, then place the lid face down on another piece of paper and trace the top.
At the end of the lesson the teacher didn't announce what the shape is. I was really impressed by this. If I was teaching this lesson I would want to wrap it up and say what the answer is. The truth is, if the teacher did give the answer at the end a two things would happen:
My Reflection
I loved this task! It was very simple to understand, but very complex to solve. I loved that it was open on how to answer the question.
I love research lessons! I wish that I could find more lessons like this to use in my class, with my students.
Previous Lesson
The lesson prior to this lesson the students were given this picture. It is a cube. Points P and Q are the midpoints of the sides.
The students were asked "What kind of quadrilateral is PQGF?" The students used nets to think it through. I wasn't present for this lesson so I don't know the details of this lesson. It turns out that PQGF is a rectangle.
This Lesson
Then in this class, the students were given this picture. Points P and Q are the midpoints of the sides.
The question that was asked to the students is "What kind of quadrilateral is DQFP?" The students were given time individually to think about it, and then the teacher asked students to raise their hand based on what shape they thought it was. The common answers were square and rhombus, but there were students who thought it was a rectangle, parallelogram. I was impressed that no student was concerned of the social implications of their initial guess. I think that if I asked this question to my students, many students would vote how the few "smart" students vote. I was impressed that students felt safe enough to voice their thoughts, even if they were the only ones.
After students made their initial guess, the students got in groups of 3 in their han. (Their han is a grouping of about 6 students. These groups are set at the beginning of the year and are the same throughout the entire year). Since students had different opinions, they were to discuss their reasoning and as a group decide on what shape they thought it was and why. The students were also given the following net:
As they were reasoning, they were invited to use that net. Some students drew the shape they thought the lid was and then cut it out to see if it matched. For example the groups that thought it was a square constructed a square on the net and then cut it out. Or I saw one group who thought it was a rhombus, construct a rhombus of two equilateral triangles and see if it matched. Neither of these worked. I saw another group cut out the net as shown, then place the lid face down on another piece of paper and trace the top.
At the end of the lesson the teacher didn't announce what the shape is. I was really impressed by this. If I was teaching this lesson I would want to wrap it up and say what the answer is. The truth is, if the teacher did give the answer at the end a two things would happen:
- The students would stop thinking about the problem. If the teacher doesn't announce it, there will be students to continue thinking about the problem on their own and may come up with an answer or other connections.
- The next task that the teacher presented, the students would be significantly less motivated to attempt it because they would know that if they wait until the end of the lesson, the teacher will tell them the answer anyway.
My Reflection
I loved this task! It was very simple to understand, but very complex to solve. I loved that it was open on how to answer the question.
I love research lessons! I wish that I could find more lessons like this to use in my class, with my students.
Wednesday, March 12, 2014
Brainstorming about Next Year
Whenever I hit March, I begin to think about next year. I think there are a few reasons for this. One of them is the weather warms up my students get a little restless; I begin to have more discipline problems, which results in students not doing as well in class and I look for ways to improve them. So this year I have held firm to classroom rules and will not give in to students pushing boundaries in the Spring.
Another, and more important reason why the Spring evokes thoughts of change, is I have been able to see an analyze what a semester in my current model is like, and I want to change a few things. This blog post is for me more than anyone else. I just wanted to get out some of my thoughts about next year.
Definite Changes for Next Year
Assess Less, Learn More. I want to do away with quizzes. Currently we have two quizzes and a test each chapter. I am again embarrassed to say that we spend the same amount of time assessing as we do teaching. I want to do away with quizzes so I spend five or six days teaching and one day assessing.
This would also allow me more time to analyze the test for gaps in understanding and make plans on how to address those misunderstandings in the future (not when I hand back the test. Very few students are motivated to learn a concept that they missed on the test when I hand it back, so I need to come back to it later.)
Deeper than the Textbook. I would like to move past the textbook at some questions that push for deeper understanding. I don't know it will look more like the explore, flip, apply model, or contextualized problems, or integrated pure mathematics questions like Japanese teachers use.
Stricter Homework Policy. I will probably be flipped next year, like this year. I think I was too lenient on what happens if students don't come to class without having watched the video. So I will probably make it a policy that you can't get full credit if it isn't done by the next day.
Require More from the Summary. I have my students write a summary of the video when they are done. I want to do more with this. Maybe I will have them write it at the end of class, after they have had time to apply the ideas.
Possible Changes for Next Year
Throwing away the calendar. This year I have handed out a calendar on the first day of each quarter explaining exactly what will be done on each day of that quarter and we stick to that calendar. I don't know if I will do that next year. I want to be able to adjust to individual needs and spend an extra day on a topic if necessary.
Genius Hour. This year I have freed up about 11 academic days for a Genius Hour project at the end of the year. I have no idea how that is going to turn out. Maybe it will be the most amazing thing I have ever done and I will keep it, but I am almost planning on it failing and so I probably won't do it next year. This is a horrible way to go into something new, it is just that I usually fail the first time I do something. The question is will I come out of it determined to do it differently next year or determined to never do that again. We'll see.
Another, and more important reason why the Spring evokes thoughts of change, is I have been able to see an analyze what a semester in my current model is like, and I want to change a few things. This blog post is for me more than anyone else. I just wanted to get out some of my thoughts about next year.
Definite Changes for Next Year
Assess Less, Learn More. I want to do away with quizzes. Currently we have two quizzes and a test each chapter. I am again embarrassed to say that we spend the same amount of time assessing as we do teaching. I want to do away with quizzes so I spend five or six days teaching and one day assessing.
This would also allow me more time to analyze the test for gaps in understanding and make plans on how to address those misunderstandings in the future (not when I hand back the test. Very few students are motivated to learn a concept that they missed on the test when I hand it back, so I need to come back to it later.)
Deeper than the Textbook. I would like to move past the textbook at some questions that push for deeper understanding. I don't know it will look more like the explore, flip, apply model, or contextualized problems, or integrated pure mathematics questions like Japanese teachers use.
Stricter Homework Policy. I will probably be flipped next year, like this year. I think I was too lenient on what happens if students don't come to class without having watched the video. So I will probably make it a policy that you can't get full credit if it isn't done by the next day.
Require More from the Summary. I have my students write a summary of the video when they are done. I want to do more with this. Maybe I will have them write it at the end of class, after they have had time to apply the ideas.
Possible Changes for Next Year
Throwing away the calendar. This year I have handed out a calendar on the first day of each quarter explaining exactly what will be done on each day of that quarter and we stick to that calendar. I don't know if I will do that next year. I want to be able to adjust to individual needs and spend an extra day on a topic if necessary.
Genius Hour. This year I have freed up about 11 academic days for a Genius Hour project at the end of the year. I have no idea how that is going to turn out. Maybe it will be the most amazing thing I have ever done and I will keep it, but I am almost planning on it failing and so I probably won't do it next year. This is a horrible way to go into something new, it is just that I usually fail the first time I do something. The question is will I come out of it determined to do it differently next year or determined to never do that again. We'll see.
Wednesday, March 5, 2014
Grades in a Japanese School
On Tuesday, February 25, 2014 Dr. Doug Corey of
Brigham Young University (when I was an undergraduate at BYU, I was one
of Dr. Corey's research assistants) and Dr. Ninomiya of Saitama
University and one graduate student came to my school and observed three lessons. After those lessons we sat down
and talked about Japanese Education. I was really inspired by how grades are used in Japanese schools.
Students grades seem to be largely dependent on a few things:
On the other hand, this mentality does lend itself nicely to Standards Based Grading. I am not an expert on Standards Based Grading, but I like the idea in theory. My fear is I don't know enough high school math teachers who use Standardized Based Grading, so I am cautious to use it. It is such a mind shift for students and parents. Maybe one day in the future I will look into this.
If you have any other suggestions on how these ideas could be implemented in American schools, please let me know.
Students grades seem to be largely dependent on a few things:
- End of term exam
- Attendance and participation
- And sometimes homework assignments, other tests or quizzes
Not knowing what your current grade is highly motivating
Students want to know their current grade as an indicator of if they are doing enough, either enough to get an A or enough to pass. Once students grade has received that feedback, they will continue in their current path for the rest of the year. But what if you didn't know if you were doing enough to get an A or if you were doing enough to pass. Would you do more or less? I think most students would do more, to ensure they get the grade they want.Eliminates student labeling
I think that grades become a label for a student. Many students have been labeled by themselves or by their parents as A students. They, and their parents, expect them to get As in every class. Other students are looking to get a B, or C, or just enough to pass. I believe that this labeling mentality would be eliminated if students didn't carry their grade through the semester, every semester.Shifts the focus from grades to concepts
Conversations with students aren't about grades, they are about concepts. Students won't come to their teacher and ask the question "How can I get an A?" or "How do I bring up my grade?" Their grade isn't in the forefront of their mind, the content of the class is.Students are forced to continue working and retain what they learn
Because tests and quizzes aren't given throughout the semester, students understand that a major factor of their grade is a cumulative assessment. This alone has important implications. For example- Students with strong grades will not "rest on their laurels" and not focus for the exam. These students will work especially hard on these exams. I think we do our students a disservice when they have such a high grade, that their end of semester exam won't change their grade much.
- Students need to remember all of the major ideas and concepts until the end of the term. I have found myself trying to test students right away "before they forget" because I assume that they will. If they know that they won't be assessed for several months, then the expectation is that they will remember.
How will this affect my teaching?
There is currently a school policy that one grade must be put in the grade book every week. I would not be allowed to have an empty grade book for a quarter, give a quarter test, and then put in two or three grades. If any student failed, then I would face major problems.On the other hand, this mentality does lend itself nicely to Standards Based Grading. I am not an expert on Standards Based Grading, but I like the idea in theory. My fear is I don't know enough high school math teachers who use Standardized Based Grading, so I am cautious to use it. It is such a mind shift for students and parents. Maybe one day in the future I will look into this.
If you have any other suggestions on how these ideas could be implemented in American schools, please let me know.
Japanese Feedback on My Teaching
On Friday, February 21, 2014 I was invited by Dr. Doug Corey of Brigham Young University (when I was an undergraduate at BYU, I was one of Dr. Corey's research assistants) and Dr. Ninomiya of Saitama University and several other graduate and undergraduate students. Please see my blog post about that "research lesson." (coming soon!)
Then on Tuesday, February 25, 2014 Dr. Corey, Dr. Ninomiya, and a graduate assistant came to my school and observed three lessons. Two that were using the Flipped Mastery model, and a Geometry lesson about Translations and Reflections. After that 85 minute lesson we sat down and talked about the lesson. Since graduating from BYU about five years ago I have never received such though provoking feedback a single lesson.
Dr. Ninomiya didn't understand the kadai of my lesson... because there wasn't one. American curriculum is a collection of separate topics and problem sets, it doesn't lend itself easily to underlying big mathematical ideas. On the other hand, Japanese curriculum is more focused and builds upon a single mathematical idea over several lessons. As I progress as teacher through my career, I have been thinking of pulling away from the textbook (not from the Standards). I don't know how valuable remember types of problems are in the long term. This seems like a topic for another blog post. At the very least, I can work on framing the lesson within a kadai.
In my class, for about an hour, we do problems from the textbook. The students write down the answer on individual white boards. I do this because:
Whys that I might implement these ideas in the future:
Then on Tuesday, February 25, 2014 Dr. Corey, Dr. Ninomiya, and a graduate assistant came to my school and observed three lessons. Two that were using the Flipped Mastery model, and a Geometry lesson about Translations and Reflections. After that 85 minute lesson we sat down and talked about the lesson. Since graduating from BYU about five years ago I have never received such though provoking feedback a single lesson.
Kadai (underlying deeper mathematical idea)
The first comment that Dr. Ninomiya made to me was describing mondai (pronounced moan-die) and kadai (pronounced ka-die). The mondai are the kind of problems or questions that are asked to the students. The kadai are the underlying deeper mathematical ideas. The goal of the lesson is not for students to solve the mondai, but to think and learn about the kadai. The kadai is sometimes a phased as "Let's think about ________". The kadai isn't specifically shared with students, but teachers will talk about the kadai as the goal of the lesson with the students. This is especially true at the end of the lesson, with a summary of what students have done by solving these problems.Dr. Ninomiya didn't understand the kadai of my lesson... because there wasn't one. American curriculum is a collection of separate topics and problem sets, it doesn't lend itself easily to underlying big mathematical ideas. On the other hand, Japanese curriculum is more focused and builds upon a single mathematical idea over several lessons. As I progress as teacher through my career, I have been thinking of pulling away from the textbook (not from the Standards). I don't know how valuable remember types of problems are in the long term. This seems like a topic for another blog post. At the very least, I can work on framing the lesson within a kadai.
Notes and Summaries
Another topic that we discussed was students effectively using their notebook. In my class, the students watch a 10 minute video, take notes, and then write a summary. Dr. Ninomiya liked the idea that I had my students write a summary. He said that many teachers want their students to do lots of problems, but it is better that students are asked to summarize what they learned. It becomes a synthases exercise.In my class, for about an hour, we do problems from the textbook. The students write down the answer on individual white boards. I do this because:
- Students enjoy it. At the beginning, the students loved the idea of using white boards. Even after using them everyday for months, they still enjoy it. Maybe after using paper and pencil so much, they like the change.
- Because students are writing with a large white board marker, it is very easy for me to scan the room and see what all of their answers are. I then know what mistakes have been made and the kind of thinking my students do.
- Record of what they, the student, did: The textbook isn't always what they did, but their notebook is a record of what they did. (By the way, because textbooks are so small and thin, students are encouraged to bring, not only their textbook to class, but all of their math textbooks from junior high school or high school to class.)
- Notes remind students of what they did last class: Teachers ask students to review their notes from last class, so they can continue the ideas from last class and build onto the previous class period's discussion.
- Notes are used to study: Studying for semester exams are very important, and a student's notes are very useful when preparing for these exams. These notes are for their future self.
Whys that I might implement these ideas in the future:
- Require more from the summary: Right now my student's summaries are very simple and are only two or three sentences long. I want to look into Cornell Notes and other AVID materials and see what they say about summaries.
- Use their summaries at the beginning of the lesson: Occasionally have them switch notebooks with someone around them and have them read each other summaries. Are there any important ideas that this person left out?
- Add to their notes during the lesson: My students usually don't write down the example problems that are in the videos in their notes. They just don't see value in them. (This is one reason why I been shortening the videos by removing about half of the example.) I want to change this perspective. I want my students to work out a problem or two, in their notes, show their work and write down explanations.
- Add and clarify their summaries at the end of the lesson: At the end of the lesson, the students need the teacher to remind them what they did that day. This also gives a teacher a chance to summarize the lesson and, by example, the importance of summarizing the lesson. By the way this is called the matome (pronounced mah-toe-mei) in Japanese education. The students will then add or clarify what they have written from the summary.
Monday, January 20, 2014
The Dropout Rate No One is Talking About
There is frequent talk about the national drop out rate. From a quick google search, it seems that the national dropout rate is around 7% or 8% (https://nces.ed.gov/fastfacts/display.asp?id=16 and http://www.statisticbrain.com/high-school-dropout-statistics/) I should probably do more research on this, but I was looking for a quick estimate. This is an important number, and something that does merit the concern and effort of our education system. But there is another dropout rate that concerns me, and that is the rate at which teachers leave the teaching field.
According to The Atlantic between 40% and 50% of teachers leave the field within their first 5 years of teaching. By the way, I am about to hit my four year anniversary of teaching. Maybe some of them enter education planning on it being a temporary career, but I don't think that this is the case for the majority of teachers. I think that this is another matter that is something that should be investigated and worked to correct. When a teacher leaves, they take their experiences and expertise with them. We have no way of capturing that and sharing it with future teachers. We also have a huge demographic of teachers who will be retiring in the next 10 years and we need experienced teachers to fill these positions. I believe that teachers need more administrator support, quality professional development, time to prepare, and then be left alone.
The motivation behind this post is I recently heard that we will have to begin documenting why individual students get Ds and Fs and what I have done individually to help these students. I am not disagreeing with the need to help these students individually, but I am concerned about the documentation and it being something that takes away from my time to prepare for doing what I love, teaching!
If you have any comments about this topic or further research, please share in the comments below. I am not an expert in this field, but every time I see a fellow teacher leave the teaching field I feel a sense of loss.
According to The Atlantic between 40% and 50% of teachers leave the field within their first 5 years of teaching. By the way, I am about to hit my four year anniversary of teaching. Maybe some of them enter education planning on it being a temporary career, but I don't think that this is the case for the majority of teachers. I think that this is another matter that is something that should be investigated and worked to correct. When a teacher leaves, they take their experiences and expertise with them. We have no way of capturing that and sharing it with future teachers. We also have a huge demographic of teachers who will be retiring in the next 10 years and we need experienced teachers to fill these positions. I believe that teachers need more administrator support, quality professional development, time to prepare, and then be left alone.
The motivation behind this post is I recently heard that we will have to begin documenting why individual students get Ds and Fs and what I have done individually to help these students. I am not disagreeing with the need to help these students individually, but I am concerned about the documentation and it being something that takes away from my time to prepare for doing what I love, teaching!
If you have any comments about this topic or further research, please share in the comments below. I am not an expert in this field, but every time I see a fellow teacher leave the teaching field I feel a sense of loss.
Another visit to a Japanese High School
Today I returned to Kanagawa Sohgoh High School with two math teachers from my school.
We observed three math classes and a technology class. During first period we watched two different teachers teach the same lesson. They were sophomore level math classes. We were in the first class for 45 minutes and then switched classes to the other teacher for the remaining 45 minutes. The most amazing thing is that they were teaching the same lesson on the same day at the same pace. We walked into the second class almost exactly where the first teacher left off. I don't think that this is common, but it was amazing!
Again, we watched a sophomore level math class (Math I) and they were studying Number Theory. Specifically they talked about:
The third class we attended was a senior level class. There were a total of five students in this class and they were preparing for College Entrance Exams. They played math games for the first half of the class and then reviewed one very challenging math problem during the second half of the class. This problem involved triangles, circles, inscribed angles, area formulas, trigonometric identities, and vectors. Even if the problem was written in English, I don't know if I could solve this problem. This again shows how integrated their curriculum is, and I admire them for it!
I found out today that there are many different levels of textbooks. The mathematics textbooks that are used by Kanagawa Sohgoh High School are some of the hardest textbooks offered. This may explain why the content was so challenging. There is a lot of talk in American schools about Standards and about the Common Core. The Japanese school system does have content standards, but they value the textbook over the standards. This works very well because their textbooks have a very demanding curriculum.
I won't tell you the strategies of how to win this game. The trick is to play it several times and begin to notice patterns. What I will tell you is that one of the players (player 1 or player 2) has the advantage. But I won't tell you which. If you have any guesses, please leave them in the comments below.
Another is with 7 stones, 5 stones, and 3 stones. Just like the other stone game one of the players has an advantage and will win, unless they make a mistake. I won't tell you which player has the advantage. But if you think you know, please leave your thoughts in the comments below.
Finally their school is divided up into committees. We have this at my school as well, and I am guessing this is not uncommon. But in case you are interested here are the committees at this school:
We observed three math classes and a technology class. During first period we watched two different teachers teach the same lesson. They were sophomore level math classes. We were in the first class for 45 minutes and then switched classes to the other teacher for the remaining 45 minutes. The most amazing thing is that they were teaching the same lesson on the same day at the same pace. We walked into the second class almost exactly where the first teacher left off. I don't think that this is common, but it was amazing!
Curriculum
I am continually amazed that on the surface, Japanese schools and American schools don't look much different. The teaching styles are similar enough that most people wouldn't notice huge differences between Japanese teaching and American teaching. American teachers would categorize Japanese teaching as very traditional. What is drastically different is the curriculum.Again, we watched a sophomore level math class (Math I) and they were studying Number Theory. Specifically they talked about:
- Categorizing according to divisors and reminders. For example categorizing numbers according to 3k, 3k+1, and 3k+2, where k is an integer.
- Proved theorems that involved categorizing numbers. For example proving that the square of any odd number minus 1 is a multiple of 8. Or proving that multiplying n consecutive numbers makes a number that is a multiple of n!.
- Finally they proved and then used the Euclidean Algorithm to find the Greatest Common Divisor.
The third class we attended was a senior level class. There were a total of five students in this class and they were preparing for College Entrance Exams. They played math games for the first half of the class and then reviewed one very challenging math problem during the second half of the class. This problem involved triangles, circles, inscribed angles, area formulas, trigonometric identities, and vectors. Even if the problem was written in English, I don't know if I could solve this problem. This again shows how integrated their curriculum is, and I admire them for it!
I found out today that there are many different levels of textbooks. The mathematics textbooks that are used by Kanagawa Sohgoh High School are some of the hardest textbooks offered. This may explain why the content was so challenging. There is a lot of talk in American schools about Standards and about the Common Core. The Japanese school system does have content standards, but they value the textbook over the standards. This works very well because their textbooks have a very demanding curriculum.
Games
This third class played a number of games during the first part of the class. They were very interesting. I will share them with you.Game 1: Police and Thief
One player starts as the Police and the other player as the Thief. The Police get to go first and they can move one space. The Thief can then move one space. Through playing the game the players learn that the triangle at the top is a very important part of this game. If the thief goes in there, then they will be caught. Otherwise they won't be caught.Game 2: Two Groups of Stones
The game is played by drawing two groups of stones one with 25 stones and the other with 18 stones. The first player can remove as many stones of the same color as they want, the second player can remove as many stones of the same color as they want, and it returns to the first player. The goal is to be the last person to take a stone.

Game 3: Three Groups of Stones
A third game is a similar game about removing stones. The rules are the same, two players alternate turns by removing stones of the same color and the player to remove the last stone wins. But now there are three groups. The first version has 3 stones, 2 stones, and 1 stone. Like this:Another is with 7 stones, 5 stones, and 3 stones. Just like the other stone game one of the players has an advantage and will win, unless they make a mistake. I won't tell you which player has the advantage. But if you think you know, please leave your thoughts in the comments below.
Games
I was so glad that I watched this class play games. These games are very different than the games I have ever played in American schools. These games still required critical thinking and problem solving, and it took some mathematics understanding to understand the strategy.Student Presentations
I wanted to mention some of the things that I saw in the technology class. The students were giving presentations from PowerPoint that they prepared on technology in the future. For example they talked about designing Smart Phones so they can be used by blind individuals, 4D televisions (including things like smells), food that can be stored in data and then reproduced at will, and a way of finding lost items using a Smart Phone. The students had three minutes to present their ideas and they were graded by their peers by answering 13 yes or no questions, and overall score, and comments. These kinds of things are not uncommon in America, but I was very impressed by these presentations.Teachers
A learned a few more things about Japanese teachers. First of all many high school teachers don't have degrees in education, they have degrees in their content area and then get a teaching certificate later. They also teach about two out of the four 90 minute periods each day (not three like is common in America). So the teachers have much more time to plan and collaborate.Finally their school is divided up into committees. We have this at my school as well, and I am guessing this is not uncommon. But in case you are interested here are the committees at this school:
- Research (look at how they can prepare their students for entrance exams, decides how many home room classes to have, and fills out reports).
- School Management
- Career Advisory
- School Activities
- School Behavior (discipline)
- International (this school has several sister schools around the world and their students travel all over the world)
Monday, January 13, 2014
What I Learned my First Year of Flipping
I had said many times before that my first year of "Flipping" my class was the hardest year of my teaching career, but the second year of flipping was the best! I learned so much during that first year of Flipping about things that worked and things that didn't. I changed things every quarter to make improvements, but by the end of the year, I figured out I should flip my class.
If students get a similar lecture at home and similar homework in class, then what is the point of flipping at all? This year my students walk into my classroom in the morning with a similar understanding as when my students left my classroom before I flipped. And I believe that I can move my students future forward while they are in the same room as me, than when they are at home. Plus, as a math teacher, I know that every student can complete my homework if they are only asked to watch a video and take notes. No student "gets stuck" anymore.
If you have any questions about my first year of flipping or what I learned, please contact me at Twitter at @mathlewis.
Flipping is different for everyone
There is no one way of flipping a class, just like there is no one way of teaching a traditional class or a PBL class. Each teacher needs to find the way of flipping that works well for them and their students. This isn't helpful for first year teachers or teachers preparing for their first year of teaching. But I would encourage a teacher planning on flipping to stay as close to what they have found successful in the past. For example, one of my biggest failures during my first year of flipping was trying to implement a Flipped Mastery approach, because that seemed like was the direction that everyone who was flipping was heading. But a Flipped Mastery model does not work for me. I like giving students second chances and meeting my students where they are, and I found that about half of my students were constantly falling behind. I was afraid of them falling too far behind, so I required students to test on the same day. So more than half of my class hadn't watched all the videos or done the required textbook problems by the day of the test.Be Flexible
As I mentioned before I changed things about my class every quarter. Here are the things that I tried:- I collected data and talked to my students, using their data, to convince them that the students who did more of their notes and textbook problems, did better on assessments.
- I changed the grading policies to place more emphasis on textbook problems, because that showed the highest correlation with assessment grades.
- I changed how frequently I put grades in the grading system and how frequently I contacted parents about grades.
- I tried giving note packets for students to use to take notes
- I tried giving a few problems after the notes for students to try before doing the textbook problems.
- I tried making short videos to help students through the few problems after the notes.
- I tried created guided notes for students to use when they were taking notes
Keep it Simple
The model that I am using during my second year of flipping is very simple and it works very well. I would recommend teachers that are considering flipping, keep it very simple. Specifically what I mean is:- Make your own videos (there is a lot of power in doing this, if you are willing to do it. Use the materials that you used in class for the videos, but keep them short. Don't give a lot of examples.)
- Give the homework that you used to give at home, in class.
- Give the same tests and quizzes that you used before. (This is good to compare data between before and after.)
Questions and Conclusion
If the first year of flipping is hard, then why do it? Because the second year is so worth it! Everything that frustrated me about how I taught before flipping has been corrected by my second year. It is a better way of teaching.If students get a similar lecture at home and similar homework in class, then what is the point of flipping at all? This year my students walk into my classroom in the morning with a similar understanding as when my students left my classroom before I flipped. And I believe that I can move my students future forward while they are in the same room as me, than when they are at home. Plus, as a math teacher, I know that every student can complete my homework if they are only asked to watch a video and take notes. No student "gets stuck" anymore.
If you have any questions about my first year of flipping or what I learned, please contact me at Twitter at @mathlewis.
Wednesday, January 8, 2014
Differences between Japanese Education and American Education
I am continually fascinated by Japanese education. It is just interesting to see another education system, especially a successful one, and look at the similarities and differences. The more I talk about my experiences and things that I am learning, people want to know "Why is Japanese Education better?" and my answer is "I don't know." Anyone who is involved in education understand that it is very complex and connected to the students that we serve, so it would be impossible to research and find the that make Japanese education work that American education is missing. That is the wrong question to ask. But I do want to point out some differences:
1. Children are left behind
The responsibility of learning information is set squarely on the student's shoulders. Teachers come to class, they lecture, the students take notes, and speak only when invited to by their teacher. In fact, Japanese high school is more like American college than American high School. The students know that if they don't study well, they won't pass their next entrance exam and therefore won't be on a track to get into a good university. But it is their choice to learn or not. I have seen multiple students with their head on their desks sleeping during class. The teacher doesn't make any comments about it, as long as they aren't disturbing the class, it is fine.2. No Differentiating
Differentiated Instruction is a hot topic and a discussion among American teachers, but not Japanese teachers. American teachers strive to adapt their teaching to meet their kinesthetic, auditory, and visual learners as well as meeting Garners Intelligences. Japanese teachers stand at the front of the room and lecture and draw diagrams on the chalk board. From what I can tell, they may not even know their student's names, let alone their learning styles. When they call on a student they are usually looking at a class list.3. Not Standards, Curriculum
I have limited working knowledge of Japanese curriculum, but it is an area of interest. There are national education standards approved by the Ministry of Education. But in talking with Japanese teachers, I have never heard them say anything about standards, but they do talk a lot about textbooks. There are only a few textbooks that are used in Japan and they are all approved by the Ministry of Education and therefore you don't deviate from them. The examples that the teacher gives are the examples that are printed in the textbooks. Very little is done that isn't directly from the textbook.4. Teacher Observations
American teachers are not used to being observed. In my entire teaching career of about four years, I have only been observed about three or four times. I have only had two individuals come into my class and watch me teach. This is very different from Japanese teachers. During a few months of the year, there are open lessons where anyone can come and observe a teacher. So each teacher may have one open lesson a year where the principal, other teachers, or parents are welcome to come and watch them teach. I have also heard that the first full year of teaching is done with an experienced teacher assisting them. Usually in the back, but providing feedback.Conclusion
I don't know what will fix the problems that we are seeing in American Education. It is my opinion that the American Education system is too complex for simple solutions. Slow and gradual progress is the only way that we will improve our schools. I have highlighted some areas that are very different between Japanese Education and American Education. I find them interesting, I hope you do too.How my iPhone changed my career
About a year ago, I purchased an iPhone and it has been the greatest professional development tool I have ever used. When I started using my iPhone, I wasn't sure how it could be used. But I noticed that it had a podcast app, and I found a few educational podcasts, like the Flipped Learning Network Podcast, and began listening to it.
The next step happened a few weeks later. The guests who appeared on this Podcast said that they can be reached on Twitter. So eventually I realized that I could use Twitter to connect with amazing educators and learn from them. I don't think I am very good at using twitter, but I love the ideas that I get by reading other teacher's tweets and blog posts.
Since then I have expanded to listen to a variety of podcasts, many of which are from EdReach and my iPhone has become a constant source of professional development that inspires me to try new things.
In case you are curious, here are some of my favorite educational podcasts:
If you have others that you would recommend, please leave a comment below!
The next step happened a few weeks later. The guests who appeared on this Podcast said that they can be reached on Twitter. So eventually I realized that I could use Twitter to connect with amazing educators and learn from them. I don't think I am very good at using twitter, but I love the ideas that I get by reading other teacher's tweets and blog posts.
Since then I have expanded to listen to a variety of podcasts, many of which are from EdReach and my iPhone has become a constant source of professional development that inspires me to try new things.
In case you are curious, here are some of my favorite educational podcasts:
If you have others that you would recommend, please leave a comment below!
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