Research article    |    Open Access
International Journal on New Trends in Education and Their Implications 2012, Vol. 3(4) 118-127

Numerical Method/Analysis Students' Conceptual Derivative Knowledge

Emre TOKGOZ

pp. 118 - 127

Publish Date: October 31, 2012  |   Single/Total View: 0/0   |   Single/Total Download: 0/0


Abstract

Advanced level mathematics and engineering courses such as Numerical Methods and Numerical Analysis require advanced knowledge of derivative. In this paper, undergraduate and graduate engineering and mathematics Numerical Methods-Analysis course students' conceptual derivative knowledge is observed. Students' ability to determine the cusp points (if exist) of a quotient function after calculating the first and second derivatives of the function is investigated. In addition, student responses to find the derivative of a composition function is evaluated by using the schema development idea of Piaget and Garcia (1989) where the participants were expected to apply the chain rule and determine the domain of differentiation for the given function.

Keywords: Derivative of functions, the chain rule, schema classification, concept image, critical points


How to Cite this Article?

APA 7th edition
TOKGOZ, E. (2012). Numerical Method/Analysis Students' Conceptual Derivative Knowledge. International Journal on New Trends in Education and Their Implications, 3(4), 118-127.

Harvard
TOKGOZ, E. (2012). Numerical Method/Analysis Students' Conceptual Derivative Knowledge. International Journal on New Trends in Education and Their Implications, 3(4), pp. 118-127.

Chicago 16th edition
TOKGOZ, Emre (2012). "Numerical Method/Analysis Students' Conceptual Derivative Knowledge". International Journal on New Trends in Education and Their Implications 3 (4):118-127.