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Doing math with mathematicians to support pedagogical reasoning about inquiry-oriented instruction

  • Christine Andrews-Larson
  • Estrella JohnsonEmail author
  • Valerie Peterson
  • Rachel Keller
Article
  • 31 Downloads

Abstract

Given the prevalence of research in undergraduate mathematics education focused on student reasoning and the development of instructional innovations that leverage student reasoning, it is important to understand the ways undergraduate mathematics instructors make sense of these innovations. We characterize pedagogical reasoning about inquiry-oriented instruction relative to vertices of the instructional triangle (content, students, and instructor). Through this lens, we analyze conversations of twenty-five mathematicians who elected to attend a workshop on inquiry-oriented instruction at a large national mathematics conference. Identifying differences in talk between two breakout groups, we argue that deeper mathematical engagement in task sequences designed for students supported deeper engagement in students’ mathematical reasoning and engendered reasoning about instruction that was more frequently accompanied by rationale based in mathematics or students’ reasoning about mathematics. Importantly, deeper mathematical engagement was observed when the discussion facilitator prompted participants to engage through a mathematical lens rather than an instructional lens.

Keywords

Inquiry-oriented instruction Undergraduate mathematics Instructional change Pedagogical reasoning 

Notes

Acknowledgements

This research was supported by National Science Foundation award numbers #1431595, #1431641, and #1431393.

Supplementary material

10857_2019_9450_MOESM1_ESM.pdf (172 kb)
Supplementary material 1 (PDF 171 kb)

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  • Christine Andrews-Larson
    • 1
  • Estrella Johnson
    • 2
    Email author
  • Valerie Peterson
    • 3
  • Rachel Keller
    • 4
  1. 1.School of Teacher EducationFlorida State UniversityTallahasseeUSA
  2. 2.Department of MathematicsVirginia TechBlacksburgUSA
  3. 3.Department of MathematicsUniversity of PortlandPortlandUSA
  4. 4.Department of MathematicsVirginia TechBlacksburgUSA

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