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Rasmussen, Chris; Dunmyre, Justin; Fortune, Nicholas; Keene, Karen – PRIMUS, 2019
This article provides an overview of a modeling sequence that culminates in student reinvention of a bifurcation diagram. The sequence is the result of years of classroom-based research and curriculum development grounded in the instructional design theory of Realistic Mathematics Education. The sequence of modeling tasks and examples of student…
Descriptors: Mathematical Models, Teaching Methods, Mathematics Instruction, Inquiry
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Apkarian, Naneh; Bowers, Janet; O'Sullivan, Michael E.; Rasmussen, Chris – PRIMUS, 2018
This article presents a case study that details the successes and lessons learned by faculty and administrators at San Diego State University (SDSU) who are in the process of implementing a substantial improvement to the Precalculus to Calculus 2 sequence. Improvement efforts have been informed by national studies of successful programs and center…
Descriptors: Case Studies, Mathematics Instruction, Calculus, College Faculty
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Zandieh, Michelle; Wawro, Megan; Rasmussen, Chris – PRIMUS, 2017
In this paper we address practical questions such as: How do symbols appear and evolve in an inquiry-oriented classroom? How can an instructor connect students with traditional notation and vocabulary without undermining their sense of ownership of the material? We tender an example from linear algebra that highlights the roles of the instructor…
Descriptors: Algebra, Mathematics, Mathematics Instruction, Mathematics Education