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 minimum grade of C or appropriate score on the Mathematics Placement Test; and successful completion MAT 080, geometry proficiency or appropriate score on the Mathematics Placement Test.

III.   Course (Catalog) Description

Course emphasizes development of critical thinking skills using mathematical language and notation appropriately to communicate ideas and solve a variety of problems. The course focuses on increasing mathematical knowledge upon which the elementary curriculum is based with a deeper conceptual understanding of the following topics; sets, real numbers, number theory, functions, statistics and probability.

IV.   Learning Objectives

  1. Apply mathematical reasoning in a variety of routine and non-routine problem solving situations involving sets, real numbers, number theory, functions, basic statistics and probability.
  2. Identify, create and model mathematical representations, ideas and concepts using mathematical language and notation to solve problems with real numbers including, sets, number theory, functions, basic statistics and probability.
  3. Explain and connect the key elements of the National Council of Teachers of Mathematics Principles and Standards for School Mathematics to the course content of sets, real numbers, number theory, functions, basic statistics and probability.
  4. Recognize and demonstrate appropriate use of technologies and tools, such as calculators and computers.

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.

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

The following applies to the online section of this course only:

This online course requires that students take their exams as directed by their instructor: either on campus at Oakton's Testing Center, at an authorized testing center with a face-to-face monitor, or remotely through a pre-approved testing service.   (To be customized by instructor.)

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

Electronic video and/or audio recording is not permitted during class unless the student obtains written permission from the instructor. In cases where recordings are allowed, such content is restricted to personal use only. Any distribution of such recordings is strictly prohibited. Personal use is defined as use by an individual student for the purpose of studying or completing course assignments.

For students who have been approved for audio and/or video recording of lectures and other classroom activities as a reasonable accommodation by Oakton’s Access Disabilities Resource Center (ADRC), applicable federal law requires instructors to permit those recordings. Such recordings are also limited to personal use. Any distribution of such recordings is strictly prohibited.

Violation of this policy will result in disciplinary action through the Code of Student Conduct.