M 132M - Number and Operations for K-8 Teachers

Credit(s): 3

Prerequisite(s): appropriate placement test score, a grade of “C” or better in M 094~, or Math Department consent.
This course focuses on the study of numbers and operations for prospective elementary and middle school teachers. Topics include all subsets of the real number system, arithmetic operations and algorithms, numeration systems and problem solving. (Fall Semester)

Course Learning Outcomes: Upon completion of the course, students will be able to

Explain the meanings of whole numbers, integers, fractions and decimals, as well as representations of these numbers.
Explain the meanings of operations and the connections between operations, concepts, and procedures in doing computations (using both standard and nonstandard algorithms), interpreting story problems, and writing story problems.
Use various representations of numbers and operations, and evaluate their efficiency as well as their applications to problem solving.
Recognize some common mathematical misconceptions and understand the faulty reasoning behind those misconceptions.
Explain their reasoning, both verbally and in writing, while solving problems.