Friday, January 24, 2014

Peer Teaching Project




[All documents are linked at the bottom of the page through Scribd]

I am in the midst of a peer teaching lesson on quadrilaterals. I gave students the task of writing and presenting a 20-minute lesson on a quadrilateral. They worked in groups of 3-5, assigned by me. They had to create a number of documents as part of their planning: notes, role division, lesson plan or activity, worksheet with problems and answer key, mini quiz and answer key, and poster. Six groups taught about a quadrilateral: parallelogram, rectangle, rhombus, square, trapezoid, and kite; two groups taught about the relationships between the quadrilaterals by creating a hierarchy and by writing Always, Sometimes, Never True questions.

Below are all of the documents I handed out to students.

This project was a little scary. I don’t know that students have ever been asked to learn something on their own and then teach it to their peers. I chose this chapter for the project because students have been exposed to quadrilaterals for many years now. They basic properties of squares and rectangles are ingrained in their minds, and they can use these properties to extend to other quadrilaterals.

The project generated a TON of work for me. Not only did I have to design the project and how it would play out, with all of the considerations involved and all of the documents; but I had to provide feedback on 30 projects three nights in a row, grade a different mini quiz for each of four classes for five nights in a row, keep track of late and missing assignments and absent students, make copies of worksheets and quizzes for four different classes, and take notes on presentations. I still have to grade them.

One of the decisions I made early on was for students to be graded on their contribution to the project only. I know many students hate group work because of the unequal distribution of work. I don’t want to penalize students for wanting to do well and therefore taking all the work upon themselves. I think this was a good decision, though we’ll see how it works out in the grading.

The quality of the presentations spanned a wide range. Some students have a knack for explaining and some for presenting. Some had no clue how to explain something in front of a class and were unaware of how they presented themselves and the content. I know that students are not trained in teaching, and I did not provide them much training on how to present to a class. To make up for the wide range in quality, I am conducting a day and a half of self-guided review (see below for review). Hopefully this will make up for any gaps in understanding.

I really don’t know what I think of this project. Will I do it again next year? I wonder what students learned, if anything at all. I wonder if they learned more about non-math things, like how they work in a group, what their work ethic is, classroom dynamics, what it’s like to teach in front of their class, their process of getting work done, and public speaking. It’s hard to put my finger on, but I feel like they grew somehow during this process. Or we grew together as a class. Hopefully I will find out more when they fill out a survey about the project.

Changes for next year:
  • Provide more structure and requirements for the lesson plan, such as questions they will ask during the lesson, a script, options for teaching methods like using whiteboards or a game.
  • Create a checklist that they have to present to me at the end of each class period so I am not running around figuring out who is missing what.
  • Create common forms for documents like the lesson plan, role division, worksheet, and mini quiz, so it’s easier to grade and keep track of. Possibly color code each class.
  • Grade the documents as they come in so no one loses them before the end of the project and I have less work at the end.
  • Do a better job explaining the reason for this project. Figure out the reason.
  • Be clearer about the types of questions I want students to be able to do at the end of the lesson.
  • Combine the hierarchy and Always, Sometimes, Never topics into one.





 

Standards:
  • G.3.1 – Describe, classify, and understand relationships among the quadrilaterals square, rectangle, rhombus, parallelogram, trapezoid, and kite.
  • G.3.3 – Find and use measures of sides, perimeters, and areas of quadrilaterals. Relate these measures to each other using formulas.


Sunday, January 19, 2014

Transitioning to Abstract Thinking

In 8th grade, we're learning how to solve one and two step equations. The students are fairly good with the solving, though some are still rusty with their adding and subtracting integer skills. As an extension of the one and two step equations solving, we did word problems. They're nothing special; I just pulled them straight from the book. But what I've noticed is that students know how to solve them, but they have trouble seeing how to write the problem as an equation. I don't fault them for this - it's a big leap conceptually. And we haven't even done any work on what equations really mean. My struggle is that I don't know how to help them on their journey from knowing how to answer the problem to knowing how to write the problem as an equation. They're focused on the answer, so the extra step of writing it as an equation seems like a burden.

Here are some examples of their work:


 


I showed a couple of students how to work backwards from their solution to writing an equation. For example, if they know that to get the answer they need to subtract 5 and then divide by 2, I said that the equation will have the opposite - it will have addition and multiplication. That was enough to help a couple of them figure out how to write the equation. I know there's an inverse relationship between the solving and the equation, but I don't know how to teach it without confusing the heck out of some of them. The few that I showed this to, I showed during the quiz, actually. (I know many might disagree, but I often use assessment time as teaching time. I have their full attention then and they get the one-on-one instruction that many of them need.)

Now that I've graded their quizzes, I know they still need work on this. Tomorrow they're going to go through and correct their mistakes, and it might be a good time to show them the relationship between their intuitive steps for solving a problem and the written expression of the equation.