Framing a robust understanding of proportional reasoning for teachers

Travis Weiland, Chandra Hawley Orrill, Gili Gal Nagar, Rachael Eriksen Brown, James Burke

Research output: Contribution to journalArticle

Abstract

Proportional reasoning is foundational in school mathematics. Despite the importance of proportional reasoning, little has been written about the knowledge needed for teachers to teach proportional reasoning relative to its importance. In this paper, we present an initial definition for a robust understanding of proportional reasoning for teaching based on synthesizing past scholarship in conjunction with an empirical study of the knowledge resources practicing teachers use to make sense of proportional reasoning tasks. As a result of this effort, we present here an initial framing of operationalized knowledge resources based upon our definition for a robust understanding that could be used as an analytic tool. We also describe how such a framework of knowledge resources is useful in the context of teacher education, and we provide an example of how the framework was used to analyze the knowledge resources a teacher employed to make sense of a proportional reasoning task. We end by discussing possible implications our framework has for designing teacher education experiences and further research that is needed.

Original languageEnglish (US)
JournalJournal of Mathematics Teacher Education
DOIs
StateAccepted/In press - Jan 1 2020

Fingerprint

Reasoning
Directly proportional
teacher
Teacher Education
Resources
resources
knowledge
education
Empirical Study
mathematics
Knowledge
Teaching
school
experience
Framework

All Science Journal Classification (ASJC) codes

  • Education
  • Mathematics(all)

Cite this

Weiland, Travis ; Orrill, Chandra Hawley ; Nagar, Gili Gal ; Brown, Rachael Eriksen ; Burke, James. / Framing a robust understanding of proportional reasoning for teachers. In: Journal of Mathematics Teacher Education. 2020.
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Framing a robust understanding of proportional reasoning for teachers. / Weiland, Travis; Orrill, Chandra Hawley; Nagar, Gili Gal; Brown, Rachael Eriksen; Burke, James.

In: Journal of Mathematics Teacher Education, 01.01.2020.

Research output: Contribution to journalArticle

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