Abstract

The goal of this study is to develop a GeoGebra-assisted worksheet to enhance students' understanding of calculus. Many studies report that students have difficulty understanding calculus. GeoGebra provides an alternative method to overcome the difficulties associated with calculus. The Plomp development model consists of three phases: specifically, preliminary analysis, prototype development and an assessment was used in this study. The subjects of this study were 37 students. The results of this study are valid in terms of content, presentation, linguistics and graphics and practical in terms of implementation, time, ease of use and effective in terms of its potential impact on students' mathematical understanding. The GeoGebra-assisted worksheet can help students rediscover the given concept, while the use of visualization of the calculus concept can significantly enhance students’ mathematical understanding. Likewise, GeoGebra-assisted worksheets can be used to enhance students’ understanding of calculus. Teachers are suggested using GeoGebra in order to build students’ understanding on calculus subject.

Highlights

  • Calculus is a part of mathematics that is essential and needed in modern science and technology [1]

  • This study aims to produce a valid, practical, and effective GeoGebra-assisted calculus worksheet

  • Needs analysis is done to reveal the problems that occur in calculus learning by interviewing lecturers and giving questionnaires to students

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Summary

Introduction

Calculus is a part of mathematics that is essential and needed in modern science and technology [1]. It serves as gateway to other higher mathematics lessons. Many fields of science require calculus, such as chemistry, biology, physics, economics, computer graphics, informatics engineering and others. Physical concepts that use calculus include heat, harmonics, light, electricity, motion, acoustics, astronomy, dynamics, Einstein's theory of relativity and electromagnetism. Calculus is used to predict functions such as radioactive decay and reaction rates. It is used to formulate rates of birth and death. In the field of computer graphics, calculus is used for ray-tracing and lighting techniques. In the field of informatics engineering calculus is important for artificial intelligence which is the intelligence shown by an artificial entity [2]

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