Nature of Mathematical Modeling Tasks for Secondary Mathematics Preservice Teachers

Document Type

Conference Proceeding

Publication Date

10-5-2017

Publication Title

Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education

Abstract

This study investigated the nature of written modeling tasks reported by instructors of required courses in five secondary mathematics teacher education programs. These tasks were analyzed based on a framework addressing potential cognitive orientation (simple procedures, complex procedures, and rich tasks) and purpose (epistemological, educational, contextual, and socio-critical modeling) of the tasks. Our analysis suggests that most tasks included questions of more than one cognitive orientation and more than half of the tasks were coded as contextual modeling. We also found that tasks that were coded as contextual modeling offered opportunities for future teachers to engage with questions at all levels of cognitive orientation. The nature of several modeling tasks, along with the ideas for refining the current frameworks, are presented for future implications of analyzing and developing modeling tasks.

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