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

This is a sample syllabus only. Ask your instructor for the official syllabus for your course.

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### Course Description

Primarily for prospective elementary school teachers. Geometry from an intuitive problem solving standpoint. Constructions, symmetry, translations, rotations, patterns, area, volume, and the metric system. Topics from graph theory and topology. Two hours of lecture and two hours of activity per week.

MAT 207 does not satisfy General Education Quantitative Reasoning Requirement.

4 units credit.

Besides the topics listed in the catalog course description, MAT 207 also covers measurement and computation of length, area, volume, and angles, units of measurement, creating and interpreting charts and graphs, and introductory topics of probability and statistics.

### Prerequisites

Fulfillment of the ELM requirement.

### Text

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

### Course Requirements, Tentative Schedule of Class Meetings and Topics, Readings, Assignments and Due dates, Exams

The course may be based on the following chapters in the text. Other topics may be included as time permits.

• 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

A schedule of class meetings, topics, assignments, due dates, exam dates, etc. will be provided by instructor. See your class syllabus.

The final exam is given at the date and time announced in the Schedule of Classes.

### Learning Objectives

After completing MAT 207 the student will

• successfully engage in mathematical problem-solving and geometric thinking
• recognize two- and three-dimensional geometric shapes and describe their characteristics
• demonstrate knowledge 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
• use 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
• explain 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.
• apply elementary statistical concepts: mean, median, and mode, standard deviation to solve basic problems.
• conduct simple experiments, predict probabilities of outcomes, and verify predictions with empirical data
• solve simple combinatorial problems
• explain and compute odds, conditional probabilities, and expected values

### Computers and Calculators, Computer Literacy

Most instructors encourage the use of machines, calculators computers, phones etc., for analyzing data. The use of machines may be restricted during examinations or at certain other times. Ask your instructor for the policy in your class.

Students are not expected to be programmers or to know any particular computer language before starting this class. Some instructors may expect students to be able to access information on the internet, or to use calculators, or to learn to use particular software with instruction. Basic skill in algebra and the use of mathematical symbols, order of operations etc., and the willingness to read and follow instruction manuals and help files will suffice.

### Grading Policy, Grading Scale, Weighted Value of Assignments and Tests

Students' grades are based on homework, class participation, short tests, and scheduled examinations covering students' understanding of the topics covered in this course. The instructor determines the relative weights of these factors and the grading scale. See the syllabus for your particular class.

### Location of Class Meetings

Classes meet on the dates and room announced in the official Schedule of Classes. This is a traditional, face-to-face class.

### Attendance Requirements

Attendance policy is set by the instructor.

### Policy on Due Dates, Make-Up Work, Missed Exams, and Extra-Credit Assignments

Due dates and policy regarding make-up work and missed exams are set by the instructor. Instructors may, or may not, choose to offer extra credit assignments. If extra credit assignments are offered they will be available to all students.

### Academic Integrity

The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

### Accomodations for Students with Disabilities

Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how we best can help you. All disclosures of disabilities will be kept strictly confidential. Please note: you must register with DSS to arrange an no accommodation. For information call (310) 243-3660 or send an email message to dss@csudh.edu or visit the DSS website http://www4.csudh.edu/dss/contact-us/index or visit their office WH D-180

### Behavioral Expectations

We all are adults so behavior rarely is an issue. Just follow the Golden Rule: "do unto others as you would have them do unto you" then everything will be fine.

The university must maintain a classroom environment that is suitable for learning, so anyone who insists on disrupting that environment will be expelled from the class.

Revision history:

Prepared by H. Anderson 1/10/2000. Revised 3/30/2001, 4/28/01, 1/15/06, 7/25/06, 1/21/11, 1/7/15 (G. Jennings).