Course Abstract Details

MATH-110, Mathematical Concepts and Structures

Credits: 4

Course Description

MATH-110, Mathematical Concepts and Structures, is designed for students in the elementary and early childhood education majors and provides insight into the 'whys' of basic concepts of arithmetic. Topics covered include sets, functions, the nature of counting, the origin of numbers, structure and positional number systems, estimation, principles underlying the fundamental operations and relations with natural numbers, whole numbers and integers, rational numbers and decimals, introduction of measures of central tendency, and problem-solving techniques. Students will solve mathematical problems using hands-on materials and electronic technologies. Prerequisite: exemption/completion of READ-A-D and exemption/completion with a C grade or better in MAT-097. Credit by exam not available. Calculator with arithmetic functions may be required. Four hours lecture each week. Four credits. Four billable hours.

Course Objectives and Grading Information

MAJOR COURSE OBJECTIVES:  Upon completion of this course, the student should be able to: 

1. Understand numbers, ways of representing numbers, relationships among numbers and number systems. (GE2, GE3, PG1) 

2. Understand the meaning of operations and how they relate to each other. (GE3) 

3. Compute fluently and make reasonable estimations. (GE3, PG1, PG2) 

4. Understand patterns, relations and functions. (GE2, GE3, PG1) 

5. Represent and analyze mathematical situations and structures using algebraic symbols. (GE3, PG1, PG3) 

6. Use mathematical models to solve problems. (GE2, GE3, PG1) 

7. Utilize measures of central tendency. (GE2, GE3, PG1) 

8. Apply and adapt a wide variety of appropriate strategies to solve problems. (GE2, GE3, PG1, PG4) 

9. Monitor and reflect on processes of mathematical problem solving. (GE7) 

10. Use the language of mathematics and express mathematical ideas coherently and clearly to peers, teachers and others. (GE1, GE4, PG2, PG4) 

11. Analyze and evaluate the mathematical thinking and strategies of others. (GE2, PG3) 

12. Create and use representations to organize, record and communicate mathematical ideas. (GE1, GE4, PG1, PG2, PG4)

Learning Goals

The abbreviations in parentheses represent Learning Goals which have been identified for this course and program of study:

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