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Science and Mathematics Education

Old Dominion University

Calculus

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Attrition In Online And Face-To-Face Calculus And Precalculus Courses: A Comparative Analysis, Sarah Ferguson Jan 2020

Attrition In Online And Face-To-Face Calculus And Precalculus Courses: A Comparative Analysis, Sarah Ferguson

STEMPS Faculty Publications

A multitude of online courses are available that provide opportunities for students to meet their higher education needs, goals, and desires in a nontraditional school setting. But, from a content specific perspective, how are students performing in online courses compared to their face-to-face counterparts? This study seeks to examine the attrition rates of online calculus and precalculus students relative to their face-to-face peers in an effort to expand the study of online mathematics pedagogy while providing course-specific data. Several studies have been conducted to explore attrition rates in relation to student demographics, STEM fields, and online course structure, but these …


Using Pre-Calculus And Calculus Student Work To Examine Student Problem Solving Abilities In Online And Face-To-Face Mathematics Courses, Sarah Catherine Ferguson Apr 2017

Using Pre-Calculus And Calculus Student Work To Examine Student Problem Solving Abilities In Online And Face-To-Face Mathematics Courses, Sarah Catherine Ferguson

Teaching & Learning Theses & Dissertations

This study compares the outcomes of student learning between two pairs of courses. Each pair of courses consists of an online section and a face-to-face section. One pair of courses focuses on pre-calculus content while the second pair focuses on calculus content. Both pairs of courses are taught by the same instructor using the same course appropriate materials. Participants for this study include 9 online and 14 face-to-face pre-calculus students and 14 online and 23 face-to-face calculus students from an urban community college in the southeastern portion of the U.S. Written responses from the subjects to a collection of problems …


Polynomial Calculus: Rethinking The Role Of Calculus In High Schools, William Crombie, Melva R. Grant Jul 2012

Polynomial Calculus: Rethinking The Role Of Calculus In High Schools, William Crombie, Melva R. Grant

Teaching & Learning Faculty Publications

Access to advanced study in mathematics, in general, and to Calculus, in particular, depends in part on the conceptual architecture of these knowledge domains, and in this paper we outline an alternative architecture. Our general strategy is to separate advanced concepts from the particular advanced techniques used in their definition and exposition. This alternative architecture, thus, affords access to advanced concepts from an elementary standpoint to a larger group of learners than is presently accomplished. In the case of the Calculus we develop the beginning concepts of the Differential and Integral Calculus using only concepts and skills found in secondary …