Mathematical Reasoning and Proving for Secondary Teachers

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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.

Abstract

The Mathematical Reasoning and Proving for Secondary Teachers course aims to enhance preservice secondary teachers' (PSTs') knowledge and disposition for integrating reasoning and proof into classroom practices. Through content, methods, and clinical practice, PSTs are able to learn about the importance of the logical aspect of proof and apply it to pedagogical implications. The four aspects of proof utilized for the course are (1) quantification and the role of examples in proving, (2) conditional statements, (3) direct proof and argument evaluation and (4) indirect reasoning. The course spends about three weeks on each of these modules. Within this time PSTs are engaged in opportunities to integrate proof and reasoning into the traditional US curriculum, provided class time to lesson plan, and are shown modeled types of proof tasks for support. Lessons are planned and implemented in Middle or Secondary classrooms. For each lesson PST's record, reflect, receive feedback, and review.

Department

Mathematics and Statistics

Publication Date

2021

Digital Object Identifier (DOI)

10.51272/pmena.42.2020

Document Type

Article

Rights

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License https://creativecommons.org/licenses/by-nc-sa/4.0/

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