MATH 105 - Math for Elementary Teachers

Credit Hours: 3
Lecture Hours: 3
Laboratory (or Other) Hours: 0

Prerequisite(s): None
Corequisite(s): None
Restriction(s): Early Childhood and Childhood Education majors

This course is intended for education majors and is designed to provide a mathematical treatment of the fundamental concepts of arithmetic, algebra, functions, and number theory as they relate to the elementary school mathematics curriculum. This is not a methods course; the primary focus of this course is mathematics content.

Student Learning Outcomes of the Course:

List and apply a variety of problem solving techniques
Use elementary set theory notation, vocabulary, and Venn diagrams to find the union, intersection, difference and complement of sets.
Represent numbers, count, and perform arithmetic in the Roman, Babylonian, Hindu Arabic, and multi-base numeration systems.
Represent numbers in expanded and exponential forms.
Identify and apply a variety of different models, algorithms, and properties of whole number arithmetic in base 10 and other bases.
Identify and apply a variety of different models and algorithms with fractions and decimals.
Use a variety of mental math and estimation techniques for whole number arithmetic, fractions, and decimals.
Represent ratios and use them to solve problems with proportions, similarity, and conversion of units of measurement in the US and metric system.
Convert between decimals, fractions, and percents, solve basic and word problems involving simple percent and increase/decrease (discounts, raises).
Identify and be able to use a variety of models, algorithms, and properties of arithmetic operations on integers, rational and real numbers.
Simplify, estimate, and evaluate square roots, and be able to evaluate numbers using rational exponents.
Define, graph in Cartesian coordinates, and identify types of functions, and use the vertical line test.