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.
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MAT 3050 covers Euclidean and hyperbolic geometry in two and three dimensions from an axiomatic point of view. It examines classical theorems as well as groups of transformations.
This introductory course aims to engage and help you develop your creative voice through discussions of craft and technique, readings aimed to build critical reading and workshopping skills, writing exercises, and discussion of language and style.
Topics covered include sample spaces and probabilities, discrete probability distributions (Binomial, Hypergeometric),
expectation and variance, continuous probability distributions (Normal, Student, Chi-Square), confidence intervals, hypothesis testing, and correlation and regression. Spreadsheets are used throughout the semester.
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.
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