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All Journal JTAM (Jurnal Teori dan Aplikasi Matematika) Malikussaleh Journal of Mathematics Learning (MJML) JME (Journal of Mathematics Education)
Weinhandl, Robert
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Education Mathematics Social Sciences

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Analysis of students' thinking level in solving Pythagoras' theorem problems based on Van hiele's theory Wulandari, Sari; Syahbana, Ali; Tanzimah, Tanzimah; Shang, Yilun; Weinhandl, Robert; Sharma, Rajinder
Malikussaleh Journal of Mathematics Learning (MJML) Vol 4, No 2 (2021): October
Publisher : Universitas Malikussaleh, Aceh Utara, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29103/mjml.v4i2.3905

Abstract

The aims of this analysis are to explain the level of thinking of grade VIII students at SMP Negeri 1 Talang Ubi in solving Pythagorean Theorem questions based on Van Hiele's theory. The research approach used in this analysis is descriptive qualitative case study research. The subjects of this research were three students of grade VIII of SMP Negeri 1 Talang Ubi, South Sumatera Indonesia. The three students were chosen based on their test answers on the Pythagorean Theorem material, with one being a high-ability student, one being a medium-ability student, and one being a low-ability student. The study's data collection techniques included assessments, interviews, and documentation. Techniques for data processing include data reduction, data presentation, and conclusion. The findings revealed that high-ability students could complete all four stages of Van Hiele's thinking: imagination, interpretation, informal deduction, and deduction. Moderate students achieved three levels of Van Hiele's thinking, including visualization, analysis, and informal deduction, while low-ability students achieved only one level of Van Hiele's thinking, visualization.
Towards Flipped Learning in Upper Secondary Mathematics Education Weinhandl, Robert; Lavicza, Zsolt; Schallert, Stefanie
JME (Journal of Mathematics Education) Vol 5, No 1 (2020): JME
Publisher : Universitas Sembilanbelas November Kolaka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31327/jme.v5i1.1114

Abstract

Challenges for students in the 21st century, such as acquiring technology, problem-solving, and cooperation skills, also necessitate changes in mathematics education to be able to respond to changing educational needs. One way to respond to these challenges is by utilizing recent educational innovations in schools, for instance, among others are flipped learning (FL) approaches. In this paper, we outline our explorative educational experiment that investigates vital elements of mathematics learning in FL approaches in upper secondary education. We describe the methodologies and findings of our qualitative study based on design-based research to discover key elements of FL approaches in upper secondary education. Analyzing the oral and written data collected over ten months using grounded theory approaches suggested categories (a) confidence when learning; (b) learning by working, and, and (c) flexibility when learning could be essential to understand FL approaches practices in mathematics classrooms. These categories indicate that when using FL approaches in mathematics learning, it could be essential for students to acquire knowledge in a confident and adaptable environment actively.
The Effect of Cabri Express in Geometry Learning on Students' Mathematical Communication Ability Tamur, Maximus; Weinhandl, Robert; Sennen, Eliterius; Ndiung, Sabina; Nurjaman, Adi
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.10865

Abstract

Cabri is characterized by an attractive advantage and provides wide-ranging benefits in the teaching of mathematics. Although today there have been many studies on the edges of Cabri, experiments on Cabri-Express have not been widely explored. For this reason, a quasi-experimental study with a randomized posttest only design involving 80 grade VII junior high school students in Ruteng, Indonesia, was conducted to analyze the effect of Cabri-Express in learning geometry on students' overall mathematical communication ability (MCA) and based on students' initial mathematical abilities. The results of the MCA test are the research data, which consists of 5 questions that are then analyzed by t-test and preceded by conducting an analysis prerequisite test. The Hedges equation describes how much influence the Cabri-Express model has on students' MCA. The results showed that the overall MCA of students who were taught using the help of an Cabri-Express was better than students who were taught using the conventional model. From the Hedges equation, an effect size of 1.23 is obtained, indicating that the use of Cabri-Expresses strongly affects students' MCA. These results interpret that students who are ranked 13th in the experimental class are equivalent to those who are ranked 5th in the control class. By clarifying the effect of Cabri-Express on students' MCA, this study recommends the need to use Cabri-Express in mathematics classes. The analysis results can also help researchers explore other material in a relatable context.
Co-Authors Adi Nurjaman, Adi Ali Syahbana Lavicza, Zsolt Ndiung, Sabina Sari Wulandari Schallert, Stefanie Sennen, Eliterius Shang, Yilun Sharma, Rajinder Tamur, Maximus Tanzimah Tanzimah, Tanzimah