Students' Understanding of Fractions

Students and teachers have different levels of understanding of fractions. At San Diego State University a new program, called Integrating Mathematics and Pedagogy (IMAP) was developed to study students, teachers, and preservice teachers' understanding of various mathematical topics, including fractions. San Diego State University created a Mathematics Early Field Experience (MEFE) and studied changes in beliefs and content knowledge of preservice teachers participating in the MEFE. The project grew out of a concern that undergraduate students preparing to be teachers were engaging in their mathematics courses in a perfunctory fashion. IMAP breaks new ground in teacher preparation by studying the effects of blending learning about pedagogy with learning about content. IMAP researchers documented what happens to the beliefs of preservice teachers when they experience working with children.

Review the following video clips on the internet (you'll need Quicktime Player to view them).

Integrating Mathematics and Pedagogy: IMAP Video Clips: Review Clips # 2, 4, and 8.  (Note: it can take a long time to download these clips.  A fast internet connections will help speed things up.  Also, it is crucial to hear the students talk, so have speakers or headphones ready!).

Write a paragraph on each video clip summarizing what happens and reflect on what goes on  (include whether the student is right or wrong). This write-up needs to be e-mailed to your instructor.

Updated: 02/22/2004
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