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Malagon, Audrey – PRIMUS, 2023
The mathematical egg hunt is a hands-on activity designed to help students understand mathematical relations in an Introduction to Proofs course. This activity gives students the opportunity to practice selecting which ordered pairs do and do not belong to a given relation in a moderately competitive egg hunt. It is designed to be low-stakes, yet…
Descriptors: Mathematics Education, Active Learning, Mathematical Logic, Validity
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Dorée, Suzanne Ingrid – PRIMUS, 2017
How can we teach inquiry? In this paper, I offer practical techniques for teaching inquiry effectively using activities built from routine textbook exercises with minimal advanced preparation, including rephrasing exercises as questions, creating activities that inspire students to make conjectures, and asking for counterexamples to reasonable,…
Descriptors: Inquiry, Mathematics Instruction, Learning Activities, Problem Solving
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Kantrowitz, Robert – Primus, 1992
A major obstacle students encounter in their study of mathematics is the language of the discipline. The words used to convey mathematical concepts are foreign and conceal the notions that they are intended to reveal. Discusses this problem and presents suggestions to help make students sensitive to and aware of the precision required to…
Descriptors: Definitions, Higher Education, Mathematical Logic, Mathematical Vocabulary
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Berard, Anthony D., Jr. – Primus, 1992
Uses small axiom systems to teach logic and reasoning to first year mathematics students. Incorporates a collaborative technique to train students to write formal arguments in a nonintimidating atmosphere by applying logic informally to small axiomatic systems. Provides examples of student-designed systems. (MDH)
Descriptors: Abstract Reasoning, Classroom Environment, College Students, Cooperative Learning
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Wells, Charles; Bagchi, Atish – Primus, 1998
Presents some methods for describing and referring to mathematical objects and consistently and unambiguously signaling the logical structure of mathematical arguments. Presents the problems involved in referring to mathematics objects and properties. Discusses certain individual words used to communicate the logical structure of mathematical…
Descriptors: Abstract Reasoning, Classroom Communication, College Mathematics, Higher Education
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Levine, Alan; Shanfelder, Benjamin – Primus, 2000
A major cause of the difficulty undergraduate mathematics majors have with the transition from elementary to advanced mathematics courses is that advanced courses require students to understand how mathematics is created. Describes a course whose main purpose is to introduce students to the creative process in mathematics. The course consists of…
Descriptors: Course Descriptions, Epistemology, Experiments, Higher Education