MAT-280 Mathematics for Elementary Teachers II
This course is the second of a two-semester sequence designed for prospective elementary education teachers. The course presentation and material will conform to the National Council of Teachers of Mathematics (NCTM) Standards and therefore will present mathematics in the context of problem solving, communication, reasoning and proof, representations, and connections. Students will explore mathematical concepts and theories underlying topics which include: proportional reasoning, statistics, probability, and geometry in terms of shape, transformations, and measurement. Modeling a positive attitude toward mathematics is emphasized as this is important for future educators. This course carries SUNY General Education Mathematics (and Quantitative Reasoning) credit.
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Course Outline
Course Description
This course is the second of a two-semester sequence designed for prospective elementary education teachers. The course presentation and material will conform to the National Council of Teachers of Mathematics (NCTM) Standards and therefore will present mathematics in the context of problem solving, communication, reasoning and proof, representations, and connections. Students will explore mathematical concepts and theories underlying topics which include: proportional reasoning, statistics, probability, and geometry in terms of shape, transformations, and measurement. Modeling a positive attitude toward mathematics is emphasized as this is important for future educators. This course carries SUNY General Education Mathematics (and Quantitative Reasoning) credit.
Credit Hours
3Semester(s) Course Will Be Offered
Spring
SUNY General Education Course
- Mathematics and Quantitative Reasoning
Course Learning Outcomes
- Apply arithmetic, geometry, and statistics to solve problems, demonstrating strategies in both written and verbal forms.
- Represent mathematical information symbolically, visually, numerically, and verbally.
- Communicate the meaning of mathematical results and recognize the limitations of mathematical methods.
- Demonstrate the ability to estimate and check mathematical results for reasonableness.
Topic Outline
- 1. Rational numbers
- a. Conversions between decimals and fractions
- b. Operations with rational numbers
- 2. Proportional reasoning
- a. Ratio and proportion
- b. Percents
- 3. Real numbers
- a. Introduction to irrational numbers
- i. Pi, π
- ii. Square root of 2, √2
- b. Properties of real numbers
- c. Pythagorean theorem
- 4. Uncertainty: data and chance
- a. Representing and interpreting data
- b. Distributions: centers and spreads
- c. Concepts related to chance
- d. Counting and chance
- 5. Geometry as shape
- a. Basic concepts of geometry
- b. Two-dimensional figures
- c. Three-dimensional figures
- 6. Geometry as transforming shapes
- a. Congruence transformations
- b. Symmetry and tessellations
- c. Similarity
- 7. Geometry as measurement
- a. Systems of measurement
- b. Perimeter and area
- c. Surface area and volume