MTHED 177
Critical Review of School Mathematics
Mathematics Education
College of Physical and Mathematical Sciences
Course Description
Strengthen understanding of middle-school mathematics with an emphasis on multiplicative structures, proportionality and linearity; gain awareness as mathematics learners in learning communities; learn how to support collaborative communities as teachers.
When Taught
Fall and Winter
Grade Rule
Grade Rule 8: A, B, C, D, E, I (Standard grade rule)
Min
3
Fixed
3
Fixed
3
Fixed
0
Recommended
Math 113 recommended for Mathematics Education pre-majors
Title
Mathematical Exploration
Learning Outcome
Students can engage in meaningful mathematical exploration, are willing and able to approach and solve challenging mathematics problems, and can reflect on their own learning to make inferences about how adolescents learn mathematics.
Title
Mathematical Understanding
Learning Outcome
Students know and can describe what it means to understand mathematics relationally, can demonstrate mathematical understanding by creating and evaluating conceptually-oriented mathematical explanations, and can explain why conceptually-oriented mathematics instruction is essential for supporting adolescents' learning of mathematics.
Title
Mathematics
Learning Outcome
Students have a deep understanding of select central concepts of middle school mathematics, with significant attention to multiplicative structures, proportionality and linearity, as well as core representations, canonical examples, and alternative algorithms germane to teaching these select concepts. Other learning outcomes in the course are situated in the mathematics of multiplicative structures, proportionality and linearity.
Title
Mathematics Instruction
Learning Outcome
Students recognize that mathematics instruction that does not build relational understanding has failed a majority of adolescents, even themselves, and is particularly detrimental to adolescents from historically marginalized populations, and that they have a moral obligation to seek the necessary knowledge and expertise to teach mathematics in ways that enable all adolescents to develop conceptual understanding, procedural fluency, and facility with authentic mathematical practices.
