TL;DRAbstract
The use of technology has become increasingly popular in mathematics education. Instructors have implemented technology into classroom lessons, as well as various applications outside of the classroom. This thesis outlines technology developed for use in a first-year calculus classroom and investigates the relationship between the use of weekly formative online Maple T.A. quizzes and student performance on the final exam. The data analysis of the online quizzes focuses on two years of a five-year study. Linear regression techniques are employed to investigate the relationship between final exam grades and both how a student interacts with and performs on the online quizzes. A set of interactive class notes and a library of computer demonstrations designed to be used in and out of a calculus classroom are presented. The demonstrations are coded in Maple and designed to give geometric understanding to challenging calculus concepts.
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The use of technology has become increasingly popular in mathematics education. Instructors have implemented technology into classroom lessons, as well as various applications outside of the classroom. This thesis outlines technology developed for use in a first-year calculus classroom and investigates the relationship between the use of weekly formative online Maple T.A. quizzes and student performance on the final exam. The data analysis of the online quizzes focuses on two years of a five-year study. Linear regression techniques are employed to investigate the relationship between final exam grades and both how a student interacts with and performs on the online quizzes. A set of interactive class notes and a library of computer demonstrations designed to be used in and out of a calculus classroom are presented. The demonstrations are coded in Maple and designed to give geometric understanding to challenging calculus concepts.
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