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Engineering-Based Problem Solving Strategies In AP Calculus: An Investigation Into High School Student Performance On Related Rate Free-Response Problems


Abstract A sample of 127 high school Advanced Placement (AP) Calculus students from two schools was utilized to study the effects of an engineering design-based problem solving strategy on student performance with AP style Related Rate questions and changes in conceptions, beliefs, and influences. The research design followed a treatment-control multiple post-assessment model with three periods of data collection. Four high school calculus classes were selected for the study, with one class designated as the treatment and three as the controls. Measures for this study include a skills assessment, Related Rate word problem assessments, and a motivation problem solving survey. Data analysis utilized a mixed methods approach. Quantitative analysis cons... (more)
Created Date 2012
Contributor Thieken, Johnny (Author) / Ganesh, Tirupalavanam (Advisor) / Sloane, Finbarr (Committee member) / Middleton, James (Committee member) / Arizona State University (Publisher)
Subject Mathematics education / Instructional design / Curriculum development / AP Calculus / Engineering Design Process / Error Analysis / Instructional Strategy / Problem Solving / Related Rates
Type Doctoral Dissertation
Extent 156 pages
Language English
Copyright
Reuse Permissions All Rights Reserved
Note Ph.D. Mathematics Education 2012
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis