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Beagley, Jonathan; Capaldi, Mindy – PRIMUS, 2020
Homework is prevalent in mathematics courses, as are cumulative final exams. This study incorporated the memory science concepts of the "testing effect" and "spacing effect" in the homework and final exam of college mathematics courses. By replacing some new homework problems with review problems, students had additional…
Descriptors: Homework, Mathematics Instruction, Calculus, College Mathematics
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Capaldi, Mindy – PRIMUS, 2020
Definitions are fundamental to any mathematics classroom. We consider how definitions are presented in textbooks and instructors' lecture notes, and whether students are positioned to gain a full understanding of new terms. Four textbooks, covering precalculus, calculus, and analysis, as well as three professors' Calculus I lecture notes are…
Descriptors: Mathematics Instruction, College Mathematics, Definitions, Textbooks
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Beagley, Jonathan E.; Capaldi, Mindy – PRIMUS, 2016
Mathematics teachers often give cumulative final exams, but little research has been done on the effects that cumulative exams given throughout the semester have on student grades and content knowledge. This study went beyond a cumulative final exam, and investigated the benefits of cumulative versus non-cumulative semester exams on students'…
Descriptors: Tests, Exit Examinations, Control Groups, Experimental Groups
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Capaldi, Mindy – PRIMUS, 2015
Flipped classrooms and inquiry-based learning (IBL) have each become popular in their own right, leading to a natural question: Why not combine these two great ideas? Although flipping a class usually involves students reading or watching videos before class, and IBL focuses on allowing and encouraging students to develop material on their own,…
Descriptors: College Mathematics, Mathematics Instruction, Blended Learning, Educational Technology
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Capaldi, Mindy – PRIMUS, 2014
This article reports on techniques of teaching abstract algebra which were developed to achieve multiple student objectives: reasoning and communication skills, deep content knowledge, student engagement, independence, and pride. The approach developed included a complementary combination of inquiry-based learning, individual (not group) homework…
Descriptors: Algebra, Mathematics Instruction, Teaching Methods, Inquiry