MATH& 132: Math for Elementary Education II

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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

Quantitative Skills

Description

Second of two mathematics content courses for elementary education majors. Topics include properties and classification of two- and three-dimensional figures, measurement, angles, area, perimeter, volume, surface area, geometric constructions, similarity and congruence, transformations, the Pythagorean theorem, trigonometry, proportions, probability, counting, and descriptive statistics. Emphasis is placed on problem solving, mathematical reasoning, communication of ideas, spatial thinking, and analysis of common student difficulties in relation to Pre-K–8 mathematics standards.

Grading Basis

Graded

Prerequisite Courses

MATH& 131: Math for Elementary Educators I

Prerequisites

MATH& 131 with a C or better. OR May be taken with MATH& 131.

Co-Requisite Courses

MATH& 131: Math for Elementary Educators I

Corequisites

MATH& 131 with a C or better. OR May be taken with MATH& 131.

Course Learning Outcomes

Apply problem-solving strategies to analyze and solve mathematical and real-world problems involving geometry, measurement, trigonometry, probability, and statistics.

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 using appropriate mathematical language, symbols, diagrams, and representations.

Program Learning Outcomes

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

Level

Intermediate

Classify and analyze two- and three-dimensional geometric figures, including relationships among angles, perimeter, area, surface area, and volume.

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

Apply geometric concepts of congruence, similarity, transformations, and tessellations to construct and analyze geometric figures.

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 geometric reasoning and proof, including properties of similarity and congruence, to justify mathematical 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

Apply trigonometric ratios, the Pythagorean theorem, and coordinate geometry concepts (such as the distance formula) to solve geometric problems.

Program Learning Outcomes

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

Level

Intermediate

Apply measurement principles, including unit analysis, measurement systems, and considerations of precision and accuracy.

Program Learning Outcomes

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

Level

Intermediate

Analyze and interpret data by organizing and representing data using appropriate graphical displays and by calculating and evaluating measures of central tendency and variation.

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

Apply probability concepts, including experimental and theoretical probability, permutations, and combinations, to analyze outcomes and interpret data.

Program Learning Outcomes

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

Level

Intermediate

Analyze spatial relationships and reason about geometric objects in two and three dimensions, including visualization and interpretation of geometric representations.

Program Learning Outcomes

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

Level

Intermediate

Design and conduct basic data collection processes, including surveys or experiments, and interpret results within appropriate statistical contexts.

Program Learning Outcomes

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

Level

Intermediate

Connect course concepts to Pre-K–8 mathematics standards and analyze common student difficulties in learning geometry, measurement, and data analysis.

Program Learning Outcomes

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

Level

Intermediate

Core Topics

Geometry
Measurement
Trigonometry and Geometric Applications
Probability
Statistics and Data Analysis
Interpretation of Data Displays
Spatial Reasoning
Data Collection and Sampling