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)
III. Course (Catalog) Description
IV. Learning Objectives
- 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.
- 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.
- 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.
- Recognize and demonstrate appropriate use of technologies and tools, such as calculators and computers.
V. Academic Integrity and Student Conduct
• 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
- Problem Solving: Problem solving procedures and strategies
- Sets: Basic set concepts, operation on sets, and applications of sets.
- Real Numbers: Arithmetic operations as subsets of the real numbers and properties of the real numbers.
- Number Theory: Tests for divisibility, greatest common factor and least common multiple.
- Functions: A variety of special functions, their graphs, and applications.
- Statistics: Statistical graphs, measures of central tendency and variation, and the normal distribution.
- Probability: Probability, simple and complex experiments, odds, conditional probability, expected value, and simulation.
VII. Methods of Instruction
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
Complete assigned readings and homework and attend and participate in all scheduled class lectures and class discussions.
IX. Instructional Materials
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
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
Resources and support for LGBTQ+ students can be found at www.oakton.edu/lgbtq.