Aaron, the primary geometry teacher at A3 is now teaching practically the same unit as I taught right now, to a different group of kids. As she is combating the same issues I ran into, I am pleased to be able to steal the ways with which she is dealing with them. A lot of things that she is doing, I feel like they are things for which I feel as if I need 'permission'. For instance, I need permission to give them lots of extra time, permission to extend the deadlines, permission to give different students with different needs different requirements or levels of expectations, permission to have students retake a quiz if they are unsuccessful. I don't know if it is my background as a good student, or how much time I've spent recently in college, where you are accountable for your own assignments, and have to make things up on your own time, or if these students are particularly challenging (probably a little of each) but I feel like if I have them redo a quiz or something like that, during class time, I'm losing in some way, or giving in. It's apparently a feeling that I need to get over, because it isn't helping my students.
I am also keenly aware of how important time is. More then ever I am happy that as I begin teaching we are beginning to implement the new State Focal points, rather then the multitude of standards. These focal points, if you aren't familiar with them, are a new format of standards, where each year there are three topics that students are expected to master. There are several subtopics, and mini-units within this, but the focus is on mastering several skills, rather then being introduced to many skills. For instance, for 8th grade math the three focal points are:
8 .1 Algebra: Analyze and represent linear functions, and solve linear equations and systems of linear equations .
8 .2 Data Analysis and Algebra: Analyze and summarize data sets .
8 .3 Geometry and Measurement: Analyze two- and three-dimensional
spaces and figures by using distance and angle.
There are 6-8 sub points beneath each, but this is everything that 8th grade math should cover, right there.
The high school focal points have not yet been instated, but I am confidant that focusing on fewer topics, with the goal of mastery, will better serve students, and allow for teachers to feel less rushed.
The other thing that I have been working on is my data analysis from my unit. I am disappointed in a few things. First of all, my average on my post assessment was below passing, not by much, but still below, second, several of the topics that I figured were easy, and spent little time one, the students didn't internalize. Specifically, the fact that the measure of the internal angles of a quadrilateral is 360 degrees. This is my fault, because the fact seemed so obvious to me that besides mentioning it a few times near the beginning of the unit, I hardly focused on it. Likewise, I focused a lot on characteristics, and it showed in the test scores, being one of three objectives that scored a passing average, but students were bored to death. In this new unit that Aaron is teaching (and I am teaching as well, since she has been absent, and I have taught her sub plans), we are focusing less on characteristics specifically, and more on the math symbols used to describe those characteristics, and focusing a lot more on interior angles and solving for them, which helps to integrate problem solving into the unit earlier. I didn't get to actual problem solving until only a few days before the end of the unit.
I guess you could say that the experiences of reteaching/observing the same material, with the same type of students, in the same space immediately after I've taught it is a particularly enlightening learning experience that most people don't get to experience, and I am glad for the opportunity.
Showing posts with label geometry. Show all posts
Showing posts with label geometry. Show all posts
Monday, March 9, 2009
Wednesday, February 11, 2009
High school is kinda scary...
My experiences so far tell me that I like Middle School students better then high school students. Well, that's not quite right, I don't necessarily like high school students less, I just like teaching them less. The apathy is astounding. I'm sure it doesn't help that I have a really unique and particularly challenging group of students. Many of the A3 students are kids who have tried other high schools and been unsuccessful. Also, since it is an art high school, there is a high volume of math phobics. I am also truly appreciating how difficult it is to start with students half way through the year.
Yesterday my lesson started out ok, if not particularly exciting, but then, when we got the interesting part, I floundered. We spent some time with vocab, before doing a neat little activity called polygon brainstorm.
I should preface this by saying that the classroom I'm using is less then ideal. For Monday and Tuesday I didn't have enough tables for all of my students so five of them were on the floor, or just in chairs. It just so happened that that group of students was also my loudest and most challenging group. Not just that, but it is a shared space with lots of windows and mirrors (that can be distracting) that is a block and half away from the main school. There are minimal in classroom supplies available, and I can't get into the classroom before my class starts, so any classroom prep that I want to do has to happen in the five minutes as the students are milling into the room, and setting up the extra tables. Fortunately today (Wednesday) I got my fifth table, so everyone is now at tables.
So, since I have a very heterogeneous group of students, some finished really quickly, others took forever. But for the most part it was ok, until we moved on the formula invention activity I had planned.
I should say I was not entirely prepared to teach that activity. I had ideally planned for it to be the activity for Wednesday, but since I wasn't sure how long the brain storm activity would take, I wanted to make sure that if they finished early, I had something for them to do. Well they finished early, not just early but 30 minutes early. So I plowed right into the equation invention activity, and totally botched the explanation. It's a really logical activity to me. There are large shapes of a right and nonright triangle, a trapezoid, and a parallelogram and you have to cut them up and make them into rectangles in order to invent the equation for them. Seems like a really visual, really great way to make sure that students understand the origins of formulas. They were totally lost, and not just confused, but vocally expressing how lost and confused they were and how stupid they thought the activity was. It was all I could do to try and help those students who were actually trying, let along try and get those off task back to math.
Today I had a behavior problem as well, but this was one I was more prepared to deal with, although I've never had a confrontation go this far before. I have a student who is autistic. He is not super high functioning, but he also isn't severely handicapped by it. He's a huge geek, in fact this is the kid that I discussed D&D with a few weeks ago. He was blatantly not participating in the flash card/vocab activity they were working on. Not only was he not participating, but he was being really rude to one of his group members who was trying to get him to do something. I asked him to participate, and suggested some solutions for how they could both work on the project and he flipped out an started saying how stupid the assignment was and how he didn't have his notes, and that if he wrote down this stuff it would mean he was stupid etc. He was starting to get really loud so I asked him to leave the room with me, and he refused. So at this point, inside I'm freaking out. I have this combatant 14 year old boy who has all sorts of negative experiences with school and probably especially group work, who is flat out refusing a direct instruction by me. Finally after some insisting using my "I'm serious" voice he agreed to leave. At this point the teacher (not Danny, my cooperating teacher, but Aaron, his partner teacher) joined me in the hallway, though she let me take the lead in the discussion with him. The kid wouldn't let me say much, just kept repeating himself, and how it was stupid to write stuff down, and asking why I was treating the class like kindergartners etc. he specifically said that just because he's autistic doesn't mean he's stupid, which indicates to me that he has had people call him stupid because of his autism before. I wasn't making any progress getting him to even listen to what I was saying, let alone convince him to work on his assignment. Aaron finally joined me and her strategy was to ask what we could do to make the assignment more interesting. She had noticed, where I had missed, that he was saying that the assignment was boring. I had gotten caught up in the 'taking notes makes you stupid' comment, and forgotten what has started the whole conflict. Finally he agreed to do the assignment, and we went back into the classroom. One thing that was interesting to me throught this interchange was that he kept trying to leave and go back to class, and I had to physically stand between him and the door, and actually put my hand on the doorknob to prevent him from going back into the class. It was clear that he didn't like the attention from the teachers, and wonder if the fact that we were both women had any effect on his attitude.
After he rejoined the class he made flashcards, but he just made them randomly of words he could think of instead of the six words that he and his group had agreed to do. Only two of his other group members were there, one is very smart and tried hard but is a smart aleck and talks a lot. The other was a girl who was very smart, and I think already knows most of this, she was working on the flash cards, by drawing anime faces on the ones she had already finished (She proceeded to do that for the rest of the period, despite my gentle reminders to do otherwise). So the boy who was trying hard was extremely frustrated. He was one of my problem kids from Tuesday's lesson, and he wasn't any trouble today, but I could see on his face he was ready to just give up because of how frustrating his group members were, and honestly I don't blame him. if I were in his position, I would probably be a pain to my teachers too. I'm not sure what to do about that group. Aaron and I are going to meet during lunch to talk about today's incident.
The other thing that I've notices with high school students is that I relate to them really easily and well, which makes it that much more difficult to maintain a sense of authority with them, especially in this environment. I'm finding it hard to fit into the culture of the school, while still being an authority/teacher figure.
Yesterday my lesson started out ok, if not particularly exciting, but then, when we got the interesting part, I floundered. We spent some time with vocab, before doing a neat little activity called polygon brainstorm.
I should preface this by saying that the classroom I'm using is less then ideal. For Monday and Tuesday I didn't have enough tables for all of my students so five of them were on the floor, or just in chairs. It just so happened that that group of students was also my loudest and most challenging group. Not just that, but it is a shared space with lots of windows and mirrors (that can be distracting) that is a block and half away from the main school. There are minimal in classroom supplies available, and I can't get into the classroom before my class starts, so any classroom prep that I want to do has to happen in the five minutes as the students are milling into the room, and setting up the extra tables. Fortunately today (Wednesday) I got my fifth table, so everyone is now at tables.
So, since I have a very heterogeneous group of students, some finished really quickly, others took forever. But for the most part it was ok, until we moved on the formula invention activity I had planned.
I should say I was not entirely prepared to teach that activity. I had ideally planned for it to be the activity for Wednesday, but since I wasn't sure how long the brain storm activity would take, I wanted to make sure that if they finished early, I had something for them to do. Well they finished early, not just early but 30 minutes early. So I plowed right into the equation invention activity, and totally botched the explanation. It's a really logical activity to me. There are large shapes of a right and nonright triangle, a trapezoid, and a parallelogram and you have to cut them up and make them into rectangles in order to invent the equation for them. Seems like a really visual, really great way to make sure that students understand the origins of formulas. They were totally lost, and not just confused, but vocally expressing how lost and confused they were and how stupid they thought the activity was. It was all I could do to try and help those students who were actually trying, let along try and get those off task back to math.
Today I had a behavior problem as well, but this was one I was more prepared to deal with, although I've never had a confrontation go this far before. I have a student who is autistic. He is not super high functioning, but he also isn't severely handicapped by it. He's a huge geek, in fact this is the kid that I discussed D&D with a few weeks ago. He was blatantly not participating in the flash card/vocab activity they were working on. Not only was he not participating, but he was being really rude to one of his group members who was trying to get him to do something. I asked him to participate, and suggested some solutions for how they could both work on the project and he flipped out an started saying how stupid the assignment was and how he didn't have his notes, and that if he wrote down this stuff it would mean he was stupid etc. He was starting to get really loud so I asked him to leave the room with me, and he refused. So at this point, inside I'm freaking out. I have this combatant 14 year old boy who has all sorts of negative experiences with school and probably especially group work, who is flat out refusing a direct instruction by me. Finally after some insisting using my "I'm serious" voice he agreed to leave. At this point the teacher (not Danny, my cooperating teacher, but Aaron, his partner teacher) joined me in the hallway, though she let me take the lead in the discussion with him. The kid wouldn't let me say much, just kept repeating himself, and how it was stupid to write stuff down, and asking why I was treating the class like kindergartners etc. he specifically said that just because he's autistic doesn't mean he's stupid, which indicates to me that he has had people call him stupid because of his autism before. I wasn't making any progress getting him to even listen to what I was saying, let alone convince him to work on his assignment. Aaron finally joined me and her strategy was to ask what we could do to make the assignment more interesting. She had noticed, where I had missed, that he was saying that the assignment was boring. I had gotten caught up in the 'taking notes makes you stupid' comment, and forgotten what has started the whole conflict. Finally he agreed to do the assignment, and we went back into the classroom. One thing that was interesting to me throught this interchange was that he kept trying to leave and go back to class, and I had to physically stand between him and the door, and actually put my hand on the doorknob to prevent him from going back into the class. It was clear that he didn't like the attention from the teachers, and wonder if the fact that we were both women had any effect on his attitude.
After he rejoined the class he made flashcards, but he just made them randomly of words he could think of instead of the six words that he and his group had agreed to do. Only two of his other group members were there, one is very smart and tried hard but is a smart aleck and talks a lot. The other was a girl who was very smart, and I think already knows most of this, she was working on the flash cards, by drawing anime faces on the ones she had already finished (She proceeded to do that for the rest of the period, despite my gentle reminders to do otherwise). So the boy who was trying hard was extremely frustrated. He was one of my problem kids from Tuesday's lesson, and he wasn't any trouble today, but I could see on his face he was ready to just give up because of how frustrating his group members were, and honestly I don't blame him. if I were in his position, I would probably be a pain to my teachers too. I'm not sure what to do about that group. Aaron and I are going to meet during lunch to talk about today's incident.
The other thing that I've notices with high school students is that I relate to them really easily and well, which makes it that much more difficult to maintain a sense of authority with them, especially in this environment. I'm finding it hard to fit into the culture of the school, while still being an authority/teacher figure.
Sunday, January 25, 2009
Saturday, January 24, 2009
A flashlight in the dark
I finally got a few minutes to talk to Danny, my co-op teacher about my unit (which will probably be starting February 9th). Unfortunately, he doesn't really know much about it. In general the math curriculum, well, doesn't exist. I think that this is the first year that he has taught geometry here and there aren't many/any resources that the school has. As a policy, the school doesn't use text books. This is both a philosophical and a monetary decision, I believe, and I appreciate what they are going for with that. Too often it seems like teachers take a text book as curriculum whole sale, and just go through the book with little to no supplementing. This can be a particular mistake with students that are similar to the ones at A3. As an arts high school, a lot of the students have math phobia (and many of the teachers too). In an effort to draw in those students, and help them to appreciate and enjoy math, most of the instruction is inquiry or project based. The problem being that as of yet, there aren't any existing lesson plans or projects, or even sources for problems for me to draw from. Maybe I'll go buy a Geometry text book from Smith Family, just to use as a resource for equations/problems, I already have an Algebra and a Calculus book.
Danny walked me through how a typical day goes for them in math. He says they like to start with a warm up or brain teaser, and then move into explaining and discussing the concepts they'll be working with. He didn't really go into any specifics as to how that is usually done. Definitions and vocabulary are usually a large focus for the students, as that is often what holds them back from understanding what is going on. After the concepts are addressed, the students break into small groups and work on figuring out one or two problems. After they have had a period of time to work, and come up with a solution, each group shares what they did and how/why they did it. This, Danny said, is often the most difficult part for students, the explanation of why thy do certain steps. It seems like there is a general 'no homework' policy, though I'm not sure if that is just these particular teacher's philosophy, or a school wide policy. In general I don't think that assigning tons of homework is necessary, however, allowing students an opportunity to work on the math concepts in a different space, without the resources of their friends and teachers can be a great learning experience. On the other hand, I was just reading an article for my Curriculum Assessment Alignment class that was discussing the fact that school trains students for a type of work that is not often found in the real world. How often would a person have to do computations without the aid of a peer or adviser, outside of academic and assessment situations?
So now my task is to search for problems, vocab and brain teasers for dealing with quadrilaterals, and find a way to integrate them into the culture of the math classroom, without ever actually seeing that culture. Not to mention make sure that those materials and goals are aligned with the content standards for Geometry. This is definitely a new challenge.
Danny walked me through how a typical day goes for them in math. He says they like to start with a warm up or brain teaser, and then move into explaining and discussing the concepts they'll be working with. He didn't really go into any specifics as to how that is usually done. Definitions and vocabulary are usually a large focus for the students, as that is often what holds them back from understanding what is going on. After the concepts are addressed, the students break into small groups and work on figuring out one or two problems. After they have had a period of time to work, and come up with a solution, each group shares what they did and how/why they did it. This, Danny said, is often the most difficult part for students, the explanation of why thy do certain steps. It seems like there is a general 'no homework' policy, though I'm not sure if that is just these particular teacher's philosophy, or a school wide policy. In general I don't think that assigning tons of homework is necessary, however, allowing students an opportunity to work on the math concepts in a different space, without the resources of their friends and teachers can be a great learning experience. On the other hand, I was just reading an article for my Curriculum Assessment Alignment class that was discussing the fact that school trains students for a type of work that is not often found in the real world. How often would a person have to do computations without the aid of a peer or adviser, outside of academic and assessment situations?
So now my task is to search for problems, vocab and brain teasers for dealing with quadrilaterals, and find a way to integrate them into the culture of the math classroom, without ever actually seeing that culture. Not to mention make sure that those materials and goals are aligned with the content standards for Geometry. This is definitely a new challenge.
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