MATH 1613: Mathematics for Elementary Teachers I

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Subject:
Mathematics
Credit hours: 3 Lecture hours: 3 Lab hours: 0
PCS code (Local ID):
Baccalaureate/Transfer
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Course Description

Models for operations with whole numbers are developed and relationships between the operations are studied. Numeration systems and additional properties of whole numbers are explored, leading to the development of fractions and integers. In addition, calculators, elementary logic, and Polya's four-step process are used in problem solving. This course cannot be used to satisfy the math requirement for an associate degree.

Prerequisite(s)

Appropriate assessment score or MATH 1424 with a grade of C or better and completion of geometry requirement (MATH 1453 or one year of high school geometry with a C or better)

Topical Outline
  1. Mathematics and Problem Solving
  2. Exploration with Patterns
  3. Reasoning and Logic: An Introduction
  4. Describing Sets
  5. Other Set Operations and Their Properties
  6. Numeration Systems
  7. Addition and Subtraction of Whole Numbers
  8. Multiplication and Division of Whole Numbers
  9. Addition and Subtraction Algorithms, Mental Computation and Estimation
  10. Multiplication and Division Algorithms, Mental Computation, and Estimation
  11. Divisibility
  12. Prime and Composite Numbers
  13. Great Common Divisor and Least Common Multiple
  14. Addition and Subtraction of Integers
  15. Multiplication and Division of Integers
  16. The Set of Rational Numbers
  17. Addition, Subtraction, and Estimation with Rational Numbers
  18. Multiplication, Division, and Estimation with Rational Numbers
  19. Proportional Reasoning
  20. Introduction to Finite Decimals
  21. Operations on Decimals
  22. Repeating Decimals
  23. Percents and Interest

At the end of this course, students will be able to:

  • Demonstrate an understanding of the structure, properties, and nature of the real numbers
  • Demonstrate an understanding of core concepts underlying the performance of operations on real numbers.
  • Illustrate multiple approaches for solving problems.
  • Recognize the validity and comparative mathematical sophistication of alternative solutions to problems.
  • Demonstrate the ability to clearly and thoroughly explain mathematical ideas you will present in your classroom using language, diagrams, and symbols.
  • Connect seemingly different mathematical topics visually, verbally, and symbolically using mathematical principals.