# MAT 207 Mathematics for Elementary School Teachers: Geometry & Statistics

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### Revised Course Description

This course is designed for prospective elementary school teachers. Topics include elementary geometry from an intuitive standpoint, constructions, symmetry, translations, rotations, patterns, measurement and computation of length, area, volume, and angles, units and the metric system, creating and interpreting charts and graphs, and some introductory topics of probability and statistics.

MAT 207 meets for four hours of lecture per week.

### Prerequisites

Students must have satisfied the ELM requirement before enrolling in MAT 207.

### Objectives

After completing MAT 207 the student should be able to

• successfully engage in mathematical problem-solving and geometric thinking
• recognize two- and three-dimensional geometric shapes and describe their characteristics
• be familiar with simple geometrical concepts and facts and their applications: point, line, plane, parallel, perpendicular, sum of the angles of a triangle is 180 degrees, the Pythagorean theorem
• perform elementary geometric constructions with ruler and compass
• compute perimeters, areas, and volumes of elementary geometric objects: rectangle, circle, triangle, cone, pyramid, cylinder, sphere
• understand the concept of measurement units in both the standard and metric systems, be able to convert measurements within systems (e.g. yards to inches) and from one system to another (e.g. miles to kilometers)
• measure lengths, angles, area (including surface area), and volumes in standard and metric units
• understand congruence and similarity and apply them to solve problems.
• organize, analyze, display, and interpret data in standard formats: histogram, box-and-whisker, pie graph, etc.
• understand and apply elementary statistical concepts: mean, median, and mode, standard deviation.
• conduct simple experiments, predict probabilities of outcomes, and verify with data
• solve simple combinatorial problems
• understand and compute odds, conditional probabilities, and expected values

### Expected outcomes

Students should be able to demonstrate through written assignments, tests, and/or oral presentations, that they have achieved the objectives of MAT 207.

### Method of Evaluating Outcomes

Depending on the instructor, grading may be based on homework, class participation, short tests, scheduled examinations, journals, and portfolios covering students' understanding of problem-solving; geometry, probability, and statistics and other topics that are covered in MAT 207.

### Text

Mathematics for Elementary Teachers: A Contemporary Approach (8th edition), by Gary Musser and William Burger

• Chapter 1-Introduction to Problem-Solving
• Preview and review
• Chapter 10-Statistics
• Gathering, analyzing, and displaying data
• Measures of Central Tendency and Dispersions
• Graphs and their interpretations
• Chapter 11-Probability
• Simple, Complex, and Conditional Probabilities
• Experimental and Theoretical Probability
• Odds, Expected Value, and Simulation
• Chapter 12-Geometric Shapes
• Recognizing Geometric Shapes and Describing their Characteristics
• Two-Dimensional and Three-Dimensional Shapes
• Chapter 13-Measurements
• Nonstandard and Standard Units
• Units of Length Weight and Capacity in the Standard and Metric Systems
• Perimeter, Area, and Volume in the Standard and Metric Systems
• Chapter 14-Geometry Using Triangle Congruence and Similarity
• Congruence and Similarity of Triangles
• Euclidean Constructions

Students' grades may be based on homework, class participation, short tests, journals, portfolios, and scheduled examinations covering students' understanding of the topics covered in MAT 207. The instructor will determine the relative weights of these factors.

### Attendance Requirements

Attendance policy is set by the instructor.

### Policy on Due Dates and Make-Up Work

Due dates and policy regarding make-up work are set by the instructor.

### Schedule of Examinations

The instructor sets all test dates except the date of the final exam. The final exam is given at the date and time announced in the Schedule of Classes.