MHE501 Topics in Mathematics for Teachers: Numbers & Operations (3sh)
Content and methods for teaching whole numbers, fractions, decimals, percents, ratio and proportion will be studied. The course will address recent research on the development of number and operation sense and what conceptual understanding should be established in the elementary school. The course will also examine the impact and role of technology, the development of a problem solving based curriculum, assessment, and addressing individual differences.
MHE503 Issues & Directions in Mathematics Curriculum, Learning & Instruction (3sh)
This course examines current and past trends and issues in mathematics education. In particular, the course focuses on research related to the mathematics curriculum, students’ learning, mathematics teaching, assessment, and classroom environment, as well as how these areas work together to promote the development of students’ mathematical understanding.
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MHE510 Topics in Mathematics for Teachers: Geometry (3sh)
This investigative study of geometry involves an active examination of geometric concepts and thinking from several perspectives including: patterns and relationships, shapes in space and the plane, transformations, measurement, and geometric representations of concepts in various strands of mathematics. The course helps teachers develop problem solving, spatial thinking, and inductive and deductive reasoning as they explore, make conjectures, test their ideas, and formalize conclusions, using appropriate technologies.
MHE511 Topics in Mathematics for Teachers: Number Theory (3sh)
Number theory is taught via a problem solving approach with connections to geometry, logic and probability. Explorations with and conjecturing about number patterns provide experiences from which teachers study various topics including: factors, primes, and prime factorization; counting techniques; greatest common factor (GCF) and least common multiple (LCM); divisibility; number patterns (e.g. Pascal’s triangle, polygonal numbers, Pythagorean triples, Fibonacci numbers); Diophantine equations, remainder classes and modular arithmetic, iterations, recursion, and mathematical induction.
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