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Utah State University

Theses/Dissertations

2020

Assessment analysis

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Teaching Students To Communicate With The Precise Language Of Mathematics: A Focus On The Concept Of Function In Calculus Courses, Derrick S. Harkness Aug 2020

Teaching Students To Communicate With The Precise Language Of Mathematics: A Focus On The Concept Of Function In Calculus Courses, Derrick S. Harkness

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The use of precise language is one of the defining characteristics of mathematics that is often missing in mathematics classrooms. This lack of precision results in poorly constructed concepts that limit comprehension of essential mathematical definitions and notation. One important concept that frequently lacks the precision required by mathematics is the concept of function. Functions are foundational in the study undergraduate mathematics and are essential to other areas of modern mathematics. Because of its pivotal role, the concept of function is given particular attention in the three articles that comprise this study.

A unit on functions that focuses on using …