Montgomery College 2025-2026 Catalog 
    
    May 06, 2025  
Montgomery College 2025-2026 Catalog Add to Favorites (opens a new window)

MATH 130 - Mathematical Reasoning and Number Systems


(MATF, GEEL)

Intended for early childhood and elementary education majors, this course requires students to examine and explain concepts and processes involving numeration systems, number theory, problem solving, whole numbers, integers, and rational numbers. PRE- or COREQUISITE(S): Appropriate score on mathematics assessment test, a grade of C or better in MATH 050 , or concurrent enrollment in MATH 030 , or consent of department. Assessment Level(s): ENGL 101 /ENGL 011  or ELAI 990 . Four hours each week.

4 semester hours

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

  • Communicate mathematical explanations effectively using appropriate vocabulary and grammar.
  • Demonstrate the teaching/learning paths for single-digit addition and associated subtraction as well as single-digit multiplication and associated division, including the use of properties of operations.
  • Demonstrate, apply, and explain basic concepts of number theory.
  • Demonstrate, diagram pictorial models, analyze, and evaluate the procedures of counting, rounding, regrouping, and arithmetic algorithms using whole numbers, fractions, and decimals where appropriate.
  • Represent decimals and fractions on a number line and as numbers using area models, set models, and lengths.
  • Write, classify, and solve application problems using addition, subtraction, multiplication, division, and illustrate the meanings of the operations illustrated by these problem type.


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