Mathematics Commons^™

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

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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.

Generations Of Reason: A Family’S Search For Meaning In Post-Newtonian England (Book Review), Calvin Jongsma

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Reviewed Title: Generations of Reason: A Family's Search for Meaning in Post-Newtonian England by Joan L. Richards. New Haven, CT: Yale University Press, 2021. 456 pp. ISBN: 9780300255492.

For The Love Of Mathematical Research: A Conversation With Undergraduate Research Students, Mike Janssen

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"One of my passions as a professor is creating opportunities for students to ask questions about mathematics."

Posting about students' perspectives on mathematics research from In All Things - an online journal for critical reflection on faith, culture, art, and every ordinary-yet-graced square inch of God’s creation.

https://inallthings.org/for-the-love-of-mathematical-research-a-conversation-with-undergraduate-research-students/

Finding Fibonacci: The Quest To Rediscover The Forgotten Mathematical Genius Who Changed The World (Book Review), Calvin Jongsma

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Reviewed Title: Finding Fibonacci: The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World by Keith Devlin. Princeton, NJ: Princeton University Press, 2017. 256 pp. ISBN: 9780691174860.

Mindset Training For Undergraduates In Developmental Mathematics, Valorie L. Zonnefeld, Kate Van Weelden

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This poster highlights the work of an individual study that student Kate Van Weelden did in Dr. Zonnefeld's Math 100 class. Kate was a teacher assistant who led a lab session for 6 of the students in the Math 100 course. Throughout the semester Kate implemented incremental mindset training for her 6 students. The results showed a promising avenue for improved achievement, especially among males.

There Really Are No Contradictions: A Response, Calvin Jongsma

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Response to "There are no Contradictions" by T.G. Ammon in The College Mathematics Journal, Vol. 31, No. 1 (Jan., 2000), pp. 48-49 which was part of the "Fallacies, Flaws, and Flimflam" column edited by Ed Barbeau of the Department of Mathematics at the University of Toronto.

Stacking Ellipses -- Revisited, Calvin Jongsma

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Response to the article “Stacking Ellipses” by Richard E. Pfiefer in The College Mathematics Journal, Vol. 22, No. 4 (Sep., 1991), pp. 312-313.

Logical "Paradox": A Response To Fallacies, Flaws, And Flimflam #36, Calvin Jongsma

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Response to "Fallacies, Flaws, and Flimflam" by Ed Barbeau in The College Mathematics Journal, Vol. 23, No. 3 (May, 1992), pp. 203-206. Fallacies, Flaws, and Flimflam is a column in The College Mathematics Journal edited by Ed Barbeau of the Department of Mathematics at the University of Toronto.

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, …

Richard Whately And The Revival Of Syllogistic Logic In Great Britain In The Early Nineteenth Century, Calvin Jongsma

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Richard Whately's Elements of Logic in 1826 marked the end of a dismal era in the history of British logic. His work sparked a revival in Britain, culminating in several distinct developments, none of which, however, Whately contributed to. Yet his work laid the foundation for them by providing a spirited defense of the syllogism and of deductive reasoning generally.

The first chapter begins with a systematic synopsis of the criticisms and responses which were made from the seventeenth to the early nineteenth century. These related primarily to the nature of logic and the epistemic utility of syllogistic reasoning, but …