University/Organization
Division of Science, Mathematics and Technology
Governors State University¹
University Park, Illinois
Lemont Township High School District 21²
Lemont, Illinois

Title
Understanding and Teaching Functions Using a Rigorous Approach

Synopsis
Calculus is the first important course for all students who want to pursue STEM education and career. However, many high school graduates who are accepted by colleges do not understand the function concept well and are not ready to take calculus. This paper will discuss the connection between learning and teaching functions and propose a rigorous approach to teach functions for mathematics majors including pre-service/in-service teachers.

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