Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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Reasoning and ProofSession 04 Overviewtab atab btab ctab dTab eReference
Part E

Evaluating Reasoning and Proof
  Make a Lesson Plan | Summing up the Session | Final Journal


An effective lesson that focuses on reasoning and proof should include several stages. In the lessons you viewed, you saw the teacher introduce a task by asking questions that enabled students to review their previous experiences with the mathematical concepts. In an effective lesson, the task is presented to the class and the students go to work -- either with a partner, in groups, or individually. As part of the problem-solving process, students are expected to share and justify their reasoning and to understand the reasoning of other students. The teacher's carefully constructed questions, which help move students forward without "telling them what to do," are an important part of the lesson.

Use the information you learned in this session to plan a lesson for one of your classes. Remember, you will need to find a task that builds on a concept with which students have had previous experience. Think of specific questions that you might ask to help students move their thinking forward. Plan how to insure that students understand your expectation that they will explain their reasoning -- either orally or in writing (or both) -- and support their ideas with clear examples.

Use a problem you teach in your subject area, or select one of the samples from the Reference section.

After you have created your lesson plan, use the Classroom Checklist (an Adobe PDF document) to evaluate it.

next  Finish the session

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