MATH& 131: Math for Elementary Educators I

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Class Program

Mathematics

Credits

5 Lecture Hours 50 Lab Hours 0 Clinical Hours 0

Independent Project Hours

Weekly Contact Hours

Meets Degree Requirements For

Natural Science

Description

First of two mathematics content courses for elementary education majors. Topics include number theory, the real number system, place value, operations and algorithms with whole numbers and rational numbers, ratios, proportions, percents, and functions. Emphasis is placed on mathematical reasoning, problem solving, modeling, communication of mathematical ideas, and analysis of common student misconceptions in relation to Pre-K–8 mathematics standards.

Grading Basis

Graded

Prerequisites

Placement by assessment or MATH 99 with a C or better.

Course Learning Outcomes

Apply problem-solving strategies to mathematical and real-world contexts.

Program Learning Outcomes

Students will be able to apply mathematical concepts to real world situations.

Level

Intermediate

Communicate mathematical reasoning clearly in oral and/or written forms.

Program Learning Outcomes

Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Level

Intermediate

Explain and analyze the structure and properties of the real and base-ten number system, including place value and relationships among whole numbers, fractions, decimals, and percents.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Intermediate

Demonstrate computational fluency by accurately performing operations with whole numbers and rational numbers (fractions, decimals, and percents).

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Intermediate

Use estimation, mental math, and number sense to assess the reasonableness of results and support efficient problem solving.

Program Learning Outcomes

Students will be able to apply mathematical concepts to real world situations.

Level

Intermediate

Apply and analyze ratios, proportions, and percent relationships to solve mathematical and real-world problems.

Program Learning Outcomes

Students will be able to apply mathematical concepts to real world situations.

Level

Intermediate

Apply concepts of number theory, including prime and composite numbers, divisibility rules, factors, and multiples, to analyze numerical relationships.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Intermediate

Analyze and compare multiple algorithms and visual models (arrays, area models, number lines, and place-value representations) to explain and perform numerical operations.

Program Learning Outcomes

Students will demonstrate growth in their mathematical skills in terms of graphical analysis, appropriate symbolic manipulation, and underlying theoretical comprehension.

Level

Intermediate

Analyze common student misconceptions, connect course concepts to Pre-K – 8 mathematics standards, and evaluate instructional strategies that support conceptual understanding of number systems and operations.

Program Learning Outcomes

Students will be able to effectively communicate mathematical concepts verbally and symbolically.

Level

Intermediate

Core Topics

Problem Solving and Mathematical Reasoning
Number Systems
Operations with Numbers
Ratios and Proportional Reasoning
Number Theory
Algebraic Thinking
Educational Context
Multiple Algorithms for Operations
Visual and Conceptual Models for Operations
Use of Manipulatives
Alternative and Historical Number Systems