Geogebra as a Scaffolding Tool for Exploring Analytic Geometry Structure and Developing Mathematical Thinking of Diverse Achievers

Abstract

One of the reasons to use technology in education is to visualize and explore the insight of mathematics with optimum possibilities. Geogebra gives visual meaning to symbolic ideas along with optimum dynamic possibilities. The purpose of this experimental study was to know about the potential effect of dynamic geometry software on diverse students' mathematical thinking behavior. For which a sample of forty students (grade-12) of F.G Inter College for Boys Mardan Cantt was selected. On the of their previous grade-11 standardized exams two groups along with their nested factors higher and lower achievers students were constructed. To investigate students' mathematical thinking basis in the subject of analytic geometry, a model behavior of thinking with its six aspects was constructed on the basis of this model a well-design criterion test was developed for data collection. The six dependent variables were combined together to form the total mathematical thinking in this research study. Further, six week experiments of 22 lessons were prepared and two teaching methods traditional vs DGS (Dynamic Geometry Software) aided instructions were tested for two groups with almost equal statistical background and with the same compatibility in the biological age. Two hypotheses were carried out i.e. Treatment does not significantly affect the higher and low achievers of the two groups in mathematical thinking mean scores. To check the significant effect of the treatment on the students' overall mathematical thinking variable across the groups, the two-way (ANOVA) was used and analyzed through as statistical tool SPSS. The study findings showed that treatment did significantly affect the higher and lower achievers of the two groups in mathematical thinking mean scores.

A Study of ICT-Based Learning in Elementary School Mathematics Learning Concepts During the COVID-19 Pandemic

“…GeoGebra was developed by Markus Hohenwarter in 2001. GeoGebra is a computer program (software) for teaching mathematics, especially geometry and algebra [10]. According to [11], the GeoGebra program is very useful for teachers and students.…”

“…The National Council of Supervisors states that computers are better used to develop 10 basic skills in mathematics, namely (1) problem solving, (2) applications of mathematics in everyday life, (3) opportunities, (4) estimation and approximation, (5) numeracy, (6) geometry, (7) measurement, (8) reading, interpreting and constructing tables, diagrams, and graphs, (9) use of mathematics for prediction, and (10) computer literacy.…”

Keberkesanan Penggunaan Perisian GeoGebra dalam Pembelajaran Fungsi dan Graf Terhadap Pencapaian Pelajar Matrikulasi Jurusan Perakaunan

“…Konsep matematik yang abstrak bagi sesetengah topik menyebabkan pelajar sukar untuk menguasai sesuatu topik dengan mendalam (Saidatuna & Rosseni, 2016). Khalil et al (2019) dalam kajiannya menyatakan bahawa dalam pembelajaran matematik di peringkat yang lebih tinggi, pemahaman konsep abstrak adalah sangat penting dan merupakan salah satu objektif utama pendidikan matematik. Namun begitu, pelajar di matrikulasi melihat topik fungsi dan graf terlalu sukar kerana kelemahan dalam kemahiran visualisasi di samping konsep asas yang tidak kukuh serta tidak memahami konsep abstrak yang terdapat dalam topik ini.…”

“…GeoGebra membantu pelajar untuk menganalisis kesan perubahan parameter pada fungsi graf. Manakala kajian Muhammad Khalil et al (2019) pula mendapati bahawa GeoGebra adalah alat bantu mengajar terbaik dalam membangunkan pemikiran matematik pelajar gred 12 dalam subjek geometri analitik sama ada pelajar itu berpencapaian tinggi atau rendah. Berdasarkan kajian Rohaidah et al (2016), perisian GeoGebra boleh membantu guru mewujudkan persekitaran pembelajaran yang menyeronokkan kerana pelajar dapat meneroka konsep matematik dengan cara yang berbeza berbanding dengan kaedah konvensional.…”

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

“…It can be used as a medium to help users to construct mathematical concepts [19]. GeoGebra can demonstrate or visualize mathematical concepts [20]. Umi [21] reports that the learning outcomes of students who use GeoGebra on graphs learning line equation are better than students who do not use GeoGebra .…”