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Students examine the rationale and pedagogy for the effective use of technology in the middle and high school mathematics classrooms. The technologies considered may include graphing calculators, computer algebra systems, spreadsheets, and dynamic geometry software.

Students examine the rationale and pedagogy for the effective use of technology in the middle and high school mathematics classrooms. The technologies considered may include graphing calculators, computer algebra systems, spreadsheets, and dynamic geometry software.

Preparation for teaching an advanced mathematics curriculum with a focus on the processes of mathematical argumentation and reasoning, deduction, and discovery. Topics include propositional and firstorder logic, axiomatic approach to number theory, set theory and abstract properties of relations, with a particular emphasis on number theory.

Preparation for teaching an advanced mathematics curriculum with a focus on the processes of mathematical argumentation and reasoning, deduction, and discovery. Topics include propositional and firstorder logic, axiomatic approach to number theory, set theory and abstract properties of relations, with a particular emphasis on number theory.

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 are public domain works from Glitch the Game, created by Tiny Speck, Inc. (http://www.glitchthegame.com/public-domain-game-art/)

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 are public domain works from Glitch the Game, created by Tiny Speck, Inc. (http://www.glitchthegame.com/public-domain-game-art/)