Jaroslav E Sykora’s Profile
Mathematics
My Courses
2022 Spring – MEDU 3000 – Mathematics of the Secondary School Curriculum – Reitz
The course examines the content of the secondary school mathematics curriculum from an advanced perspective. Pedagogical content knowledge is examined in discussions of mathematical concept representations, student errors, and the design of activities. Logo created with free online image editor Pixlr.com.
2021 Fall – MAT 2571 – Introduction to Proofs – Reitz
MAT 2571 prepares students for an advanced mathematics curriculum by providing a foundation to proofs in abstract mathematics. Topics include propositional and first order logic, axiomatic approach to number theory, set theory, and abstract properties of relations, with a particular emphasis on number theory. The course focuses on the processes of mathematical argumentation and reasoning, deduction, and discovery.
2018 Fall – MAT 2071 Proofs and Logic – Reitz
This course is designed to prepare students for an advanced mathematics curriculum by providing a transition from Calculus to abstract mathematics. The course focuses on the processes of mathematical reasoning, argument, and discovery. Topics include propositional and first order logic, learning proofs through puzzles and games, axiomatic approach to group theory, number theory, and set theory, abstract properties of relations and functions, elementary graph theory, sets of different cardinalities, and the construction and properties of real numbers. Avatar and Header images created with Hipster Logo Generator http://www.hipsterlogogenerator.com/
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