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Mathematics for Elementary Teachers I MAT 201 Course Information Textbook Information Title: Mathematical Reasoning For Elementary Teachers: A Contemporary Approach 7e Author: Long, DeTemple, Millman Publisher: Pearson ISBN-13: 978-0-32190099-9 Sections to Cover Chapter or Appendix Section Topic Chp. 1 Chp. 2 Chp. 3 Chp. 4 Chp. 5 All All All All All Chp. 6 All Chp. 7 All Thinking Critically Sets and Whole Numbers Numeration and Computation Number Theory Integers Fractions and Rational Numbers Decimals, Real Numbers, and Proportional Reasoning Chp. 10 10.2 10.4 Measurement: Length , Area, and Volume Learning Outcome(s) Notes all 1, 2, 3 3, 4, 5 3, 4 3, 4 3, 4 3, 4, 7 10.1 optional but recommended Edited: 7/23/2014 MAT 201 Learning Outcomes and Standards Learning Outcome 1. Apply numeration systems. 2. Apply basic set theory, patterns and inductive and deductive reasoning to solve problems. 3. Perform basic arithmetic 4. Solve problems from a variety of contexts using a variety of strategies including utilization of mathematical manipulatives. 5. Perform operations in non-base ten systems. 6. Solve problems of area, perimeter and volume. 7. Solve problems of ratios and percents. Standard(s) 1a. State, illustrate, and apply number properties. 1b. Extend number patterns to algebraic reasoning. 1c. Analyze and describe the interconnectedness among addition, subtraction, multiplication, division, powers, and roots. 2a. Identify, describe, extend, analyze, and create number patterns and use number patterns to solve problems. 2b. Discuss problem-solving techniques such as Polyas 4-step process. 3a. Illustrate and explain various mental and concrete models for addition, such as union of sets, numberline, and add-on. 3b. Illustrate and explain various mental and concrete models for subtraction, such as take-away, comparison, missing addend and number-line. 3c. Illustrate and explain various mental and concrete models for multiplication, such as rectangular arrays, repeated addition, and tree diagrams. 3d. Illustrate and explain various mental and concrete models for division, such as partition, missing factor, and repeated subtraction. 3e. State, illustrate and apply traditional and nontraditional algorithms. 4a. Utilize a variety of manipulatives such as base ten blocks, pattern blocks, cuisenaire rods, color tiles, etc. to solve various problems and demonstrate solutions of arithmetic operations. 5. Apply various methods to perform operations with bases other than ten. 6. Apply problem-solving techniques to find area, perimeter and volume of a variety of geometric shape. 7. Solve problems involving proportional reasoning. Edited: 7/23/2014