ERIC Number: EJ1028352
Record Type: Journal
Publication Date: 2014-Jan
Abstractor: As Provided
Reference Count: 61
Quantitative Reasoning and the Sine Function: The Case of Zac
Moore, Kevin C.
Journal for Research in Mathematics Education, v45 n1 p102-138 Jan 2014
A growing body of literature has identified quantitative and covariational reasoning as critical for secondary and undergraduate student learning, particularly for topics that require students to make sense of relationships between quantities. The present study extends this body of literature by characterizing an undergraduate precalculus student's progress during a teaching experiment exploring angle measure and trigonometric functions. I illustrate that connecting angle measure to measuring arcs and conceiving the radius as a unit of measure can engender trigonometric meanings that encompass both unit circle and right triangle trigonometry contexts. The student's progress during the teaching experiment also indicates that a covariation meaning for the sine function supports using the sine function to represent emergent relationships between quantities in novel situations.
Descriptors: Mathematics Instruction, Undergraduate Students, College Mathematics, Mathematical Concepts, Measurement, Mathematical Logic, Teaching Methods, Trigonometry, Graphs, Cognitive Processes, Observation, Interviews
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: firstname.lastname@example.org; Web site: http://www.nctm.org/publications/
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A