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Exploring Student Thinking in Novel Linear Relationship Problems

Abstract This is a report of a study that investigated the thinking of a high-achieving precalculus student when responding to tasks that required him to define linear formulas to relate covarying quantities. Two interviews were conducted for analysis. A team of us in the mathematics education department at Arizona State University initially identified mental actions that we conjectured were needed for constructing meaningful linear formulas. This guided the development of tasks for the sequence of clinical interviews with one high-performing precalculus student. Analysis of the interview data revealed that in instances when the subject engaged in meaning making that led to him imagining and identifying the relevant quantities and how they change to... (more)
Created Date 2014-05
Contributor Klinger, Tana Paige (Author) / Carlson, Marilyn (Thesis Director) / Thompson, Pat (Committee Member) / Barrett, The Honors College / School of Mathematical and Statistical Sciences
Subject Covariational Reasoning / Quantitative Reasoning / Mathematics Education / Student Thinking
Series Academic Year 2013-2014
Type Text
Extent 24 pages
Language English
Reuse Permissions All Rights Reserved
Collaborating Institutions Barrett, the Honors College
Additional Formats MODS / OAI Dublin Core / RIS

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