文章基本信息

标题：HOW DOES PRE-SERVICE MATHEMATICS TEACHER PROVE THE LIMIT OF A FUNCTION BY FORMAL DEFINITION?
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作者：Rina Oktaviyanthi ; Tatang Herman ; Jarnawi Afgani Dahlan 等
期刊名称：Journal on Mathematics Education
印刷版ISSN：2087-8885
出版年度：2018
卷号：9
期号：2
页码：195-212
DOI：10.22342/jme.9.2.5684.195-212
语种：English
出版社：Indonesian Mathematical Society
摘要：The purpose of this study was to investigate the flow of thought of the pre-service mathematics teachers through the answers of a function limit evaluation by formal definition. This study used a qualitative approach with descriptive method. The research subjects were the students of mathematics education department of Universitas Serang Raya, Indonesia. After analyzing the students’ written answers, we interviewed the subjects to get further explanation on their strategies and common mistakes. This study found that based on the students’ results in the function limit evaluation by formal definition, there were common strategies, i.e. (1) preparing the proof and (2) proving. The stage of preparing the proof consisted of (1) determining delta value by the final statement of formal definition, (2) substituting the given f(x) and L process, (3) simplifying value in the absolute sign, (4) solving the inequality, and (5) finding the delta value. The stage of proving consisted of (1) stating positive epsilon, (2) defining delta, (3) stating positive delta, (4) substituting the constants and delta values in the initial statement of formal definition, and (5) solving the inequality to create the final inequality statement of the formal definition.
关键词：Formal Definition of Limit;Pre-Service Mathematics Teacher;Proving Limit of Function;Proving Limit Strategy