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MATH 157 Math for Elementary Teachers 1*

This course includes problem solving, set theory, numeration systems, integers, number theory, rational numbers, exponents and real numbers.

Credits

3 Credits

Prerequisite

MATH 143 or MATH 147.

MATH 157Math for Elementary Teachers 1*

Please note: This is not a course syllabus. A course syllabus is unique to a particular section of a course by instructor. This curriculum guide provides general information about a course.

I. General Information

Department

Mathematics & Engineering

II. Course Specification

Course Type

Program Requirement

Credit Hours Narrative

3 Credits

Prerequisite Narrative

MATH 143 or MATH 147.

Grading Method

Letter grade

Repeatable

N

III. Catalog Course Description

This course includes problem solving, set theory, numeration systems, integers, number theory, rational numbers, exponents and real numbers.

IV. Student Learning Outcomes

Upon completion of this course, a student will be able to:

  • Demonstrate critical thinking using Polya’s Problem-Solving Principle, other problem-solving strategies, and mathematical reasoning.
  • Demonstrate how to identify and operate with whole numbers including sets, operations on sets and counting with the whole numbers, addition and subtraction of whole number, and multiplication and division of whole numbers
  • Demonstrate numeration and computation with whole numbers including past and present numeration systems, non-decimal positional systems, algorithms for adding and subtracting whole numbers, algorithms for multiplication and division of whole numbers, and mental arithmetic and estimation.
  • Demonstrate the use of number theory including divisibility of natural numbers, tests for divisibility, greatest common divisors, and least common multiples.
  • Demonstrate how to identify and operate with integers including the representations of integers, addition and subtraction of integers, and multiplication and division of integers.
  • Demonstrate how to identify and operate with fractions and rational numbers including basic concepts of fractions and rational numbers, arithmetic of rational numbers, and the rational number system.
  • Demonstrate how to identify and operate with decimals and real numbers including computations with decimals, ratio and proportion, and percent.

V. Topical Outline (Course Content)

Critical Thinking: Polya’s Problem-Solving Principle, other problem-solving strategies, mathematical reasoning Sets and Whole Numbers: sets, operations on sets and counting with the whole numbers, addition and subtraction of whole number, multiplication and division of whole numbers Numeration and Computation: past and present numeration systems, non-decimal positional systems, algorithms for adding and subtracting whole numbers, algorithms for multiplication and division of whole numbers, mental arithmetic and estimation Number Theory: divisibility of natural numbers, tests for divisibility, greatest common divisors and least common multiples Integers: representations of integers, addition and subtraction of integers, multiplication and division of integers Fractions and Rational numbers: basic concepts of fractions and rational numbers, arithmetic of rational numbers, the rational number system Decimals and Real Numbers: decimals, computations with decimals, ratio and proportion, percent

VI. Delivery Methodologies