MATH 122 - Mathematical Concepts and Structures

Number of Credits: 4
Examine concepts and principles of mathematics in elementary and early childhood education such as numeration systems, applications of the problem-solving process, reasoning, algebraic operations, the language of mathematics, number theory, and principles underlying the fundamental operations. Use hands-on materials and digital applications to model course concepts. (Spring Only) Four hours lecture each week. Four credits. Four billable hours.

GENERAL EDUCATION Category: Mathematics

Pre-requisite(s): eligibility for ENGL 101, plus exemption/completion of MAT 094 or MAT 099 with a minimum grade of C, or a satisfactory MATH placement measure.
Course Objectives: Upon successful completion of this course, students will be able to:

Describe ways of representing numbers, relationships between numbers, and different numeration systems. (GE2)
Describe the meaning of mathematical operations and how they relate to each other. (GE2)
Justify standard and alternative algorithms for addition, subtraction, multiplication, and division of whole numbers, integers, fractions, and decimals. (GE2, GE3)
Apply a variety of strategies to compute fluently and make reasonable estimations. (GE2, GE3)
Describe patterns, relations, and functions. (GE2)
Represent and analyze mathematical situations and structures using algebraic symbols. (GE2)
Use multiple models, strategies, and the problem-solving process to solve a variety of mathematical problems. (GE2, GE3, GE5)
Use the language of mathematics to analyze and evaluate the mathematical thinking strategies of others and to express mathematical ideas coherently. (GE1, GE2, GE3, GE4)
Apply concepts of number theory, including divisibility tests, factors, multiples, prime and composite numbers, and Venn diagrams, to make valid conclusions and solve mathematical problems. (GE2, GE3)
Use set language, notation, and operations to describe various sets, both numerical and non-numerical. (GE2)