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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Tribute To Gene Chase, Calvin Jongsma
Tribute To Gene Chase, Calvin Jongsma
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Gene’s academic work was always one of service to God, his students, and his colleagues, and his intellectual passion was to promote the development of Christian perspectives on various aspects of the field. His contributions to the ACMS have been much appreciated and, God willing, may still bear fruit into the future.
Incorporating Perspectival Elements In A Discrete Mathematics Course, Calvin Jongsma
Incorporating Perspectival Elements In A Discrete Mathematics Course, Calvin Jongsma
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Discrete mathematics is a vast field that can be explored along many different paths. Opening with a unit on logic and proof and then taking up some additional core topics (induction, set theory, combinatorics, relations, Boolean algebra, graph theory) allows one to bring in a wealth of relevant material on history, philosophy, axiomatics, and abstraction in very natural ways. This talk looks at how my 2019 textbook on discrete mathematics, focused in this way, came to be, and it highlights the various perspectival elements the book includes.
Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma
Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma
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If there is one aspect of mathematics education that frustrates both students and teachers alike, it has got to be learning how to do valid proofs. Students often feel they really know the mathematics they're studying but that their teachers place some unreasonably stringent demands upon their arguments. Teachers, on the other hand, can't understand where their students get some of the wacky arguments they come up with. They argue in circles, they end up proving a different result from what they claim, they make false statements, they draw invalid inferences - it can be quite exasperating at times! Unfortunately, …