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# MATH 105 - Mathematical Concepts for Elementary Teachers

The following are the Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs) for MATH 105. A Student Learning Outcome is a measurable outcome statement about what a student will think, know, or be able to do as a result of an educational experience. Course Measurable Objectives focus more on course content, and can be considered to be smaller pieces that build up to the SLOs.

## Student Learning Outcomes (SLOs)

1. Students will be able to demonstrate a strong conceptual understanding of key math concepts taught in elementary school, including place value, operations, fractions, and decimals.
2. Students will be able to solve problems using a variety of approaches such as modeling and using manipulatives.
3. Students will have a thorough understanding of the relationships between numbers, including factors, multipliers, and division rules.
4. Students will be able to analyze and explain various algorithms for the four basic operations of addition, subtraction, multiplication and division to the sets of whole numbers, integers and rational numbers.

## Course Measurable Objectives (CMOs)

1. Perform calculations with place value systems.
2. Evaluate the equivalence of numeric algorithms and explain the advantages and disadvantages of equivalent algorithms in different circumstances.
3. Apply algorithms from number theory to determine divisibility in a variety of settings.
4. Analyze least common multiples and greatest common divisors and their role in standard algorithms.
5. Explain the concept of rational numbers, using both ratio and decimal representations, analyze the arithmetic algorithms for these two representations and justify their equivalence.
6. Analyze the structure and properties of whole, rational, and real number systems; define the concept of rational and irrational numbers, including their decimal representation; and illustrate the use of a number line representation.
7. Develop and reinforce conceptual understanding of mathematical topics through the use of patterns, problem solving, communication, connections, modeling, reasoning, and representation.
8. Develop activities implementing curriculum standard.