Mathematical Knowledge for Teaching: Quantitative Reasoning
EMAT 6140E
3 hours
Mathematical Knowledge for Teaching: Quantitative Reasoning
Course Description
Students will explore various secondary mathematics topics including function, rate of change, and modeling. Quantitative reasoning will be explored as a connecting thread of these topics with an additional emphasis on instructional strategies for fostering and promoting secondary students’ quantitative reasoning.
Athena Title
MKT Quantitative Reasoning
Non-Traditional Format
This course will be taught 95% or more online.
Semester Course Offered
Offered fall
Grading System
A - F (Traditional)
Student learning Outcomes
Students will understand how to engage in mathematical, epistemological, curricular, and pedagogical investigations.
Students will understand how to address and investigate basic concepts in the secondary mathematics curriculum, differentiating between what is critical to a concept and what is a conventional practice.
Students will understand how to reflect on the content knowledge necessary for a mathematics teacher, and the role content knowledge plays in teaching.
Students will understand how to communicate and reason mathematically, engage in problem solving, investigate different representations, and make mathematical connections.
Students will understand how to design and analyze instructional tasks focusing on connecting concepts and ways of reasoning.
Students will understand how to use technological tools in doing, exploring, and communicating mathematics.
Students will understand how to use general tools such as word processing, spreadsheets, and the Internet to facilitate mathematical investigations and to communicate about mathematical investigations.
Students will understand how to use application software to solve mathematical problems, create mathematical demonstrations, and construct new ideas of mathematics.
Topical Outline
Amounts of change as a foundation to rate of change
Different functions classes, such as linear, quadratic, cubic, logarithmic, exponential, and trigonometric
Various coordinate systems and the quantities that constitute them
Critical data analysis including representational practices
Instructional design principles for quantitative reasoning
