Establishing the link between the graph of a parametric curve and the derivatives of its component functions

Çekmez, Erdem

doi:10.1080/0020739x.2019.1663950

Cited by 5 publications

(6 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Both groups stated that it was easier to make graphs using the GeoGebra app and obtaining the equation of the desired curve or line. The two groups continued the activity of determining the gradient of the tangent to the curve using the first derivative of the curve function at point A (2,4).They discovered that the gradient of the tangent to a curve equals the first derivative of the curve function at the point of contact.…”

Section: Small Groupmentioning

confidence: 99%

See 1 more Smart Citation

Constructing Calculus Concepts through Worksheet Based Problem-Based Learning Assisted by GeoGebra Software

Yerizon

Arnawa

Fitriani

et al. 2022

HighTech. Innov. J.

View full text Add to dashboard Cite

This study aims to produce a valid, practical, and effective calculus learning worksheet using a problem-based learning method assisted by GeoGebra software in improving problem-solving skills. This worksheet serves as a guide to students in constructing the calculus concepts through the provided instructions according to the Problem-Based Learning syntax. Furthermore, the construction process was carried out using GeoGebra software. Students are given scaffolding to construct concepts. This research is development research. This study employs a Plomp model, which consists of three stages, namely the preliminary study, development or prototyping, and assessment phases. The subjects are 32 students in class XI.2 at the State Senior High School of 14 Padang. The results showed that the worksheet produced was valid, practical, and effective in improving students' problem-solving abilities. This implies that it would assist students in constructing calculus concepts. Furthermore, it showed that GeoGebra is capable of visualizing abstract calculus concepts, which enables students to understand higher mathematical thinking on the main concept of calculus. In conclusion, the use of GeoGebra in mathematics learning is able to help students construct mathematical concepts and improve their problem-solving abilities. Doi: 10.28991/HIJ-2022-03-03-04 Full Text: PDF

show abstract

Section: Small Groupmentioning

confidence: 99%

“…Mathematics is a very abstract subject for students, which makes it difficult for teachers to carry out the learning process in class [1]. Calculus is very important in modern science and technology [2]. However, many studies have reported that students find it difficult to understand [3,4].…”

Section: Introductionmentioning

confidence: 99%

Constructing Calculus Concepts through Worksheet Based Problem-Based Learning Assisted by GeoGebra Software

Yerizon

Arnawa

Fitriani

et al. 2022

HighTech. Innov. J.

View full text Add to dashboard Cite

show abstract

“…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.…”

Section: Introductionmentioning

confidence: 99%

“…However, many studies report that students have difficulty understanding Calculus [1], [3]- [5]. Derivatives and integrals are the most difficult concepts [6].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Development of a GeoGebra-Assisted Calculus Worksheet to Enhance Students’ Understanding

Yerizon¹,

Fatimah²,

Tasman³

2021

IJIET

View full text Add to dashboard Cite

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.

show abstract

Complexities in university students’ understanding of parametric equations and curves

Borji

Ahadi

2020

International Journal of Mathematical Education in Science and

View full text Add to dashboard Cite

Establishing the link between the graph of a parametric curve and the derivatives of its component functions

Cited by 5 publications

References 20 publications

Constructing Calculus Concepts through Worksheet Based Problem-Based Learning Assisted by GeoGebra Software

Constructing Calculus Concepts through Worksheet Based Problem-Based Learning Assisted by GeoGebra Software

Development of a GeoGebra-Assisted Calculus Worksheet to Enhance Students’ Understanding

Complexities in university students’ understanding of parametric equations and curves

Contact Info

Product

Resources

About