COR 314 006 Mathematics and Human NatureDr. Mary GarnerSpring 2020Time:Tu & Th 2:15 – 3:45Location:Gables 104Texts:Cheng, E. (2015).How to Bake Pi:An Edible Exploration of the Mathematics of Mathematics.New York:Basic Books.Devlin, K. (2010).The Unfinished Game:Pascal, Fermat, and the 17thCentury Letter than Madethe World Modern.New York:Basic Books.Guichard, David (2019).Introduction to Combinatorics and Graph Theory.Additional materials needed for the course will be posted on Moodle.Contact InformationOffice:Hearst 108Email:[email protected]Office HoursTu & Th 9:30-11:15; W1:30-4.Note: I may need to reschedule office hours during specific weeks; I’ll email everyone in the class with the newoffice hours. In addition, please email me if you need an appointment at another time.COR 314 Mathematics and Human Nature (4 hours)Students in this course will explore the mathematical method through logical and quantitative reasoning. Through anin-depth study of the tools of abstraction, generalization, and axiomatization, students will learn to solve problemsand communicate mathematics. A central theme is the difference between evidence-based and axiom-basedargumentation, engendering a discussion of the commonalities and distinctions between mathematics and science.Course Goals and ObjectivesIn this course, we’ll explore some major modern mathematical developments in order to understand and appreciatethe unique approach to knowledge employed by mathematics. The course is organized around the following centralquestions:•What is mathematics?•How is new mathematics developed?•How are mathematical ways of knowing different from other disciplines?Through successful completion of this course, you should know about:•The mathematical method as a way of knowing, utilizing axiomatization, abstraction, and generalization.•The cumulative nature and historical context of mathematics as practiced by individuals/groups (includingbias and stereotypes).•Mathematical revolutions vs. “everyday” mathematics.Through successful completion of this course, you should be able to:•Think critically about, and explicitly state, one’s assumptions.•Develop written and oral mathematical arguments, including proof(s) and counterexamples.•Solve basic problems in the selected content area(s).•Write clearly and succinctly about mathematical principles.

Coursework and GradesWriting AssignmentsThis course will require a number of writing assignment designed to prompt you to both think and writeaboutmathematics. This is not to say that problem solving and the methods associated with problem solving are notimportant, but rather to say that learning problem solving methods alone may not prompt an understanding of themathematical principles of axiomatization, abstraction, and generalization.These assignments are intended to focuson these principles as a means of addressing the central question given in the goals and objectives.Some

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Term

Spring

Professor

de camp

Tags

Academia, Academic dishonesty