MATH& 132 Math for Elementary Education 2 (5 credits)
Distribution Area Fulfilled Natural Sciences; Quantitative and Symbolic Reasoning; General Transfer Elective
Formerly MATH& 172 and MATH& 173
Prerequisite Completion of GSP; or MATH 098 or equivalent with a grade of 2.0 or better
Course Description
This is the second of two courses for prospective elementary teachers focusing on the foundation underlying modern elementary school math. Topics include geometry, measurement, probability, and descriptive statistics. This course emphasizes deep conceptual understanding of content, connections among topics, and communication of mathematical ideas. Appropriate technology is incorporated.
Course Content
A. Characteristics and properties of two- and three-dimensional geometric shapes
B. Geometric modeling, visualization, and spatial reasoning with two- and three-dimensional objects
C. Transformation and symmetry of objects in space
D. Systems of measurement: US, Metric (SI), and Nonstandard
E. Measurable attributes of objects: length, area, perimeter, surface area, volume, capacity, weight, and angle measures
F. Design of statistical investigations
G. Collection and display of statistical data: Sampling Techniques, Charts and graphs, Misleading Displays of Data
H. Measures of center and variability for data sets: Mean, Median, Mode, Range, IQR
I. Analysis and interpretation of data
J. Probability of simple and compound events using organized lists or tree diagrams
K. Probability Terminology: Equally likely, complementary, mutually exclusive, and independent events
L. Making and testing conjectures using probability and statistics
M. Communication of mathematical ideas and reasoning
N. Applications/connections of geometry and statistics
O. State and national curriculum standards for math in elementary schools
P. Appropriate technology and technological activities
Student Outcomes
Geometric Concepts (A, B, C)
1. Apply geometric properties, along with spatial reasoning, to develop mathematical arguments about geometric relationships and solve mathematical problems.
Measurement Concepts and Applications (D, E)
2. Select and use appropriate techniques and tools to find measurable attributes of objects, develop and use formulas for measurable attributes of objects, and apply appropriate units and systems of measurement to solve problems.
Descriptive Statistics (F, G, H, I, L)
3. Design simple investigations to collect, display, analyze and interpret data in order to make inferences and predictions.
Probability (J, K, L)
4. Apply basic probability theory to solve problems and make and test conjectures about the results of experiments and simulations.
Mathematical Communication (M)
5. Clearly communicate mathematical thinking and solutions both orally and in writing and analyze and assess the mathematical thinking, strategies, and solutions of others.
Connections and Context (N)
6. Discuss historical and cross-cultural contributions to topics in geometry and statistics.
7. Analyze and explain how mathematical ideas connect to one another and to real-life topics.
Instructional Methodology (O, P)
8. Relate national and state standards to mathematical content of this course, articulate content and methods of instruction observed in lessons in a K-8 classroom, and demonstrate methods of instruction by developing and presenting activities or lessons involving concepts in this course.
9. Use appropriate technology and concrete materials (manipulatives) for problem solving, demonstrating concepts, and exploration.
Degree Outcomes
Quantitative & Symbolic Reasoning: Graduates utilize mathematical, symbolic, logical, graphical, geometric, or statistical analysis for the interpretation and solution of problems in the natural world and human society.
Critical, Creative and Reflective Thinking: Graduates will evaluate, analyze, synthesize, and generate ideas; construct informed, meaningful, and justifiable conclusions; and process feelings, beliefs, biases, strengths, and weaknesses as they relate to their thinking, decisions, and creations.
Effective Communication: Graduates will be able to exchange messages in a variety of contexts using multiple methods.
Lecture Contact Hours 50
Lab Contact Hours 0
Clinical Contact Hours 0
Total Contact Hours 50
Potential Methods
A. TEST – computational, multiple choice, true/false, matching, or short written answers.
B. WRITING ASSIGNMENT – journal, outline, narrative explanation, solution to math problem, essay, notebook, portfolio, report on observation, or projects.
C. GROUP WORK – group written solution to problems or assignment, activities with concrete materials, group presentation, or group discussion.
D. INDIVIDUAL WORK – individual presentation, individual written solution to problems, or individual oral solution to problems. Demonstrate proficiency with technology.
E. INFORMAL ASSESSMENT – self-evaluation, peer evaluation, or teacher observation.
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