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Comparing the Textbook with Professors' Intended and Enacted Potential Intellectual Need for Infinite Series in Calculus II
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Heon, Nikole; Mills, Melissa – Investigations in Mathematics Learning, 2023
Infinite series are known to be challenging for Calculus II students, perhaps because they lack intellectual need for the content. In their analysis of Calculus textbooks found few instances of potential intellectual needs for infinite series. This study combines a textbook analysis with interviews of four professors and observations of their…
Descriptors: Calculus, Mathematics Instruction, Textbooks, Textbook Content
Learning from Lecture and Homework: The Case for Studying Intersections of Milieu
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Allison Dorko; John Paul Cook; Isaiah DeHoyos – Investigations in Mathematics Learning, 2023
In an online asynchronous vector calculus course, we observed exam answers solved with a formula from online homework instead of the formula from lecture. Our exploratory study investigated (1) why students learned from homework instead of lecture for this topic and (2) their epistemological frames (e-frames) for lecture and homework. Per (1),…
Descriptors: Mathematics Instruction, Homework, Calculus, Online Courses