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MTHED 300

(MthEd-Math) History and Philosophy of Mathematics.

Mathematics Education College of Physical and Mathematical Sciences

Course Description

Historical development of important mathematical ideas and philosophies; implications for the mathematical curriculum.

When Taught

Fall, Winter, Spring

Grade Rule

Grade Rule 8: A, B, C, D, E, I (Standard grade rule)

Min

3

Fixed

3

Fixed

3

Fixed

0

Title

Historical Development of Concepts and Practices

Learning Outcome

Students understand and can describe the historical development of concepts and practices central to school mathematics, including numeration, arithmetic, algebra, geometry, calculus, and probability.

Title

Origin and Nature of Mathematics

Learning Outcome

Students understand and can describe the major approaches—cultural, philosophical, and psychological—to explaining the origin and nature of mathematics and its relation to understanding and modeling the physical world.

Title

Historical Periods and Contributions

Learning Outcome

Students understand and can describe the major historical periods of development of mathematical thought, as well as the contributions of various cultures and individuals within those periods.

Title

Social Contexts of Mathematics

Learning Outcome

Students recognize that mathematics and mathematical practices are human constructs that are socially situated and malleable across different social contexts. Students understand current school mathematics privileges certain mathematics (i.e. White European male) over other kinds of mathematics.