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Bennoun, Steve – PRIMUS, 2022
Cornell University has long offered a Calculus for Life Sciences course. In this case study, we report on how a team of pure mathematicians has modernized both the content and teaching methods of this course. The content went from a standard calculus course with few genuine applications in the life sciences to a course focusing on dynamical…
Descriptors: Mathematics Instruction, Calculus, Biological Sciences, Interdisciplinary Approach
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Davis, Tara C.; Spaeth, Anneliese H. – PRIMUS, 2020
This article includes a case study describing our innovative teaching technique of assigning reading journals in a first semester calculus course (Calculus I), as well as an exposition about and recommendations arising from our subsequent experiences implementing similar methods in Junior and Senior mathematics courses. In the primary case study…
Descriptors: Student Journals, Reading Assignments, College Mathematics, Calculus
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Bennoun, Steve; Holm, Tara – PRIMUS, 2021
The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…
Descriptors: Mathematics Instruction, Teaching Methods, Educational Change, Active Learning
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White, Jonathan J. – PRIMUS, 2017
A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…
Descriptors: Numbers, Sequential Learning, Active Learning, Inquiry
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Rufatto, Robin; Dickin, Holly; Florescu, Alina; Lorch, Crystal; Bremigan, Ralph; Lorch, John – PRIMUS, 2016
We discuss the pedagogical redesign of a liberal arts mathematics course that enrolls roughly 3000 students per year. Flipping the classroom is a prominent feature of the new pedagogical approach. We describe the nature of this redesign, course resources, and how students are assessed for both preparation and understanding. We also indicate how…
Descriptors: Liberal Arts, Mathematics Activities, Mathematics Curriculum, Student Centered Learning
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Sturdivant, Rodney X.; Souhan, Brian E. – PRIMUS, 2011
Most educators know that the best way to truly understand new material is to teach it. The use of students as peer educators provides numerous benefits to the student teacher and his or her classmates. Student-led instruction or peer-to-peer teaching is not a new concept or teaching technique. Peer teaching traces its roots back to the ancient…
Descriptors: Student Teachers, Peer Teaching, Teaching Methods, Educational Strategies