Foundations of Mathematics for Elementary Teachers I

I.     Course Prefix/Number: MAT 128

       Course Name: Foundations of Mathematics for Elementary Teachers I

       Credits: 3 (3 lecture; 0 lab)

II.    Prerequisite

MAT 110 with a minimum grade of C or appropriate score on the Mathematics Assessment Test; and MAT 080 or geometry proficiency.

III.   Course (Catalog) Description

Course integrates developing problem solving skills and mathematical reasoning capabilities, highlighted by historical reference and real world applications. Content includes subsets of the real numbers along with mental, written, and electronic computation using these numeric subsets; number theory; sets; functions and their graphs; probability; and statistics.

IV.   Learning Objectives

A.   Demonstrate an understanding of both the historical developments and the current
      concepts, applications and trends of the elementary mathematics curriculum.

B.   Demonstrate an understanding of, and proficiency in teaching according to, the National Council of Teachers of Mathematics (NCTM) curriculum standards:

•    learn to value mathematics
•    become confident in one’s ability to do mathematics
•    become a mathematical problem solver
•    learn to communicate mathematically
•    learn to reason mathematically

C.  Demonstrate an understanding, and create models, of student learning through student/teacher collaboration, discussion and diverse examples.

D.  Demonstrate proficiency in the use of technologies, i.e., computes and calculators.

V.    Academic Integrity and Student Conduct

Students and employees at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

• cheating,
• plagiarism (turning in work not written by you, or lacking proper citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• unauthorized changes on official documents,
• pretending to be someone else or having someone else pretend to be you,
• making or accepting bribes, special favors, or threats, and
• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Please review the Code of Academic Conduct and the Code of Student Conduct, both located online at

VI.   Sequence of Topics

1.    Problem Solving:
       Problem solving procedures and strategies

2.    Sets:
       Basic set concepts, operation on sets, and applications of sets.
3.    Real Numbers:
       Arithmetic operations as subsets of the real numbers and properties of the real numbers.

4.    Number Theory:
       Tests for divisibility, greatest common factor and least common multiple.
5.    Functions:
       A variety of special functions, their graphs, and applications.

6.    Statistics:
       Statistical graphs, measures of central tendency and variation, and the normal distribution.

7.    Probability:
       Probability, simple and complex experiments, odds, conditional probability, expected value, and simulation.

VII.  Methods of Instruction

(To be completed by the instructor)

The classroom component of this course will feature lectures on the primary topics highlighted in the outline of topics.  The course will emphasize student participation through individual and group activities, cooperative learning techniques, and problem solving activities.  Use of calculators, computers, and videos will be an integral part of the course.
Course may be taught as face-to-face, hybrid or online course.

VIII. Course Practices Required

(To be completed by the instructor)

Complete assigned readings and homework and attend and participate in all scheduled class lectures and class discussions.

IX.   Instructional Materials

Note: Current textbook information for each course and section is available on Oakton's Schedule of Classes.

Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".

Textbooks can also be found at our Mathematics Textbooks page.

Other Required Materials:  A Graphing Calculator, TI 83 or 84 preferred.

X.    Methods of Evaluating Student Progress

(To be completed by the instructor.)

Evaluation will include class projects, homework, quizzes, tests, and a final examination.

XI.   Other Course Information

Individual instructors will establish and announce specific policies regarding attendance, due dates and make-up work, incomplete grades, etc.

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Oakton Community College is committed to maintaining a campus environment emphasizing the dignity and worth of all members of the community, and complies with all federal and state Title IX requirements.

Resources and support for
  • pregnancy-related and parenting accommodations; and
  • victims of sexual misconduct
can be found at

Resources and support for LGBTQ+ students can be found at