A Study of Pre-Service Teachers’ Performance on Two Calculus Tasks on Differentiation and Limit
Open Access
- 15 June 2021
- journal article
- Published by Eurasian Society of Educational Research in European Journal of Mathematics and Science Education
- Vol. 6 (1), 1-12
- https://doi.org/10.12973/ejmse.2.1.1
Abstract
The purpose of this paper is to report a part of a calculus research project, about the performance of a group of pre-service mathematics teachers on two tasks on limit and differentiation of the trigonometric sine function in which the unit of angle measurement was in degrees. Most of the pre-service teachers were not cognizant of the unit of angle measurement in the typical differentiation formula, and a number of participants recognized the condition on the unit of angle measurement but did not translate this to the correct procedure for performing differentiation. The result also shows that most of the participants were not able to associate the derivative formula with the process of deriving it from the first principle. Consequently, they did not associate it with finding . In the process of evaluating this limit, the pre-service teachers exhibited further misconceptions about division of a number by zero.Keywords
This publication has 24 references indexed in Scilit:
- Preservice Teachers’ Conceptual and Procedural Knowledge of Fraction Operations: A Comparative Study of the United States and TaiwanSchool Science and Mathematics, 2013
- Undergraduate students’ preference for procedural to conceptual solutions to mathematical problemsInternational Journal of Mathematical Education in Science and Technology, 2009
- Preservice Teachers' Understanding of the Relation Between a Fraction or Integer and Its Decimal ExpansionCanadian Journal of Science, Mathematics and Technology Education, 2009
- Conceptual and procedural performance of undergraduate students in integrationInternational Journal of Mathematical Education in Science and Technology, 2009
- Impact of a state performance assessment program in reading and writingEducational Research and Evaluation, 2006
- The Vice: Some Historically Inspired and Proof-Generated Steps to Limits of SequencesEducational Studies in Mathematics, 2005
- Applying Covariational Reasoning While Modeling Dynamic Events: A Framework and a StudyJournal for Research in Mathematics Education, 2002
- Developing conceptual understanding and procedural skill in mathematics: An iterative process.Journal of Educational Psychology, 2001
- ATTITUDE OF JUNIOR COLLEGE AND TERTIARY STUDENTS TO CALCULUS*PRIMUS, 2000
- Those Who Understand: Knowledge Growth in TeachingEducational Researcher, 1986