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Direct linkÄrlebäck, Jonas B.; Doerr, Helen M. – ZDM: The International Journal on Mathematics Education, 2018
In this article, we examine how a sequence of modeling activities supported the development of students' interpretations and reasoning about phenomena with negative average rates of change in different physical phenomena. Research has shown that creating and interpreting models of changing physical phenomena is difficult, even for university level…
Descriptors: Mathematical Models, College Students, Teaching Methods, Mathematical Concepts
Doerr, Helen M.; Ärlebäck, Jonas B.; Costello Staniec, Andria – Journal of Engineering Education, 2014
Background: Since students' success in their first-semester college mathematics course is a key factor in their success in engineering, many summer bridge programs for underrepresented students focus on their preparation in mathematics. However, research on the design and efficacy of such programs is limited. We examine the design and…
Descriptors: Engineering Education, Summer Programs, College Readiness, College Mathematics
Ärlebäck, Jonas B.; Doerr, Helen M.; O'Neil, AnnMarie H. – Mathematical Thinking and Learning: An International Journal, 2013
Functions provide powerful tools for describing change, but research has shown that students find difficulty in using functions to create and interpret models of changing phenomena. In this study, we drew on a models and modeling perspective to design an instructional approach to develop students' abilities to describe and interpret rates of…
Descriptors: Mathematics Instruction, Models, Teaching Methods, Instructional Design
