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All Journal Malikussaleh Journal of Mathematics Learning (MJML) International Journal of Trends in Mathematics Education Research (IJTMER)
Robert Weinhandl
School of Education, STEM Education, Johannes Kepler University
Education Mathematics Social Sciences Other

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Analysis of students' thinking level in solving Pythagoras' theorem problems based on Van hiele's theory Sari Wulandari; Ali Syahbana; Tanzimah Tanzimah; Yilun Shang; Robert Weinhandl; Rajinder Sharma
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.
Describe mathematical creative thinking skills and problem-solving strategies by prospective teacher students on non-routine problems Heru Kurniawan; Prastyo Budi Darmono; M Mursalin; Yilun Shang; Robert Weinhandl; Rajinder Sharm
International Journal of Trends in Mathematics Education Research Vol 5, No 2 (2022)
Publisher : SAINTIS Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (464.322 KB) | DOI: 10.33122/ijtmer.v5i2.140

Abstract

This study aims to investigate and describe how creative thinking skills and problem-solving strategies are used by prospective mathematics teacher students in solving non-routine problems. Non-routine problems given to the subject require the use of mathematical conceptual understanding and procedural knowledge or algorithms used to find solutions to solve them. The results of the analysis of student-teacher solutions show that each student uses at least two problem-solving strategies. The most frequently used strategies are using algebraic manipulation, making logical reasoning with diagrams/models, and trial and error. Students with high categories show proficiency in using appropriate problem-solving strategies and students with lower categories still show an introduction to solving strategies so that they are confused about choosing the right strategy for a particular problem.
Co-Authors Ali Syahbana Heru Kurniawan M Mursalin Prastyo Budi Darmono Rajinder Sharm Rajinder Sharma Sari Wulandari Yilun Shang Yilun Shang