05+Math-+Proportional+Reasoning


 * Proportional Reasoning**

After struggling with topics which were too narrow, we broadened our scope to proportional reasoning - a topic integral to many math courses. Before diving into lesson creation, we wanted to find out how our students were thinking about proportion. To gather these data, we constructed an assessment with questions modeled from the TIMMS and the PISA tests. Each of us administered this preassessment at the beginning of the school year and returned to the following meeting with student work. Our goal was to detect common student misconceptions which we would use to develop a lesson.
 * Summary & Rationale:**


 * What We Learned:**


 * A pretest can be a valuable instructional tool. If created thoughtfully and analyzed carefully, it can be used to guide instruction and surface misconceptions.
 * Our student-work analysis was limited because we did not select a theme or guiding question to focus our work.


 * Resources:**

When we decided to form one large lesson study group and shift our focus to proportional reasoning we had some important conversations. This document is a record of the outcomes from those discussions.

During our discussion, we brainstormed topics to investigate, and tried to see where they fit within our various curricula. Below is a photograph of our "organized" brainstorm. [|Lesson_Study_Brainstorm.jpg]

We continued our discussion by posting on the KSTF portal. This is a link to our posts. 

The preassessment that we developed, administered, and analyzed can be accessed below. 

We collected responses from over 200 students in our schools to analyze and compare. [being scanned]

Slope Logarithms Proportional Reasoning Differentiated Instruction
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