Y. L. Sukestiyarno
Universitas Negeri Semarang

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Mathematical Probabilistic Thinking Process Stages in Problems Solving Probability Abd Taram; Y. L. Sukestiyarno; Rochmad Rochmad; Iwan Junaedi
International Journal on Emerging Mathematics Education IJEME, Vol. 5 No. 1, March 2021
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/ijeme.v5i1.20005

Abstract

Probabilistic thinking is one type of thinking skills which belongs to the Higher Order Thinking Skills (HOTS). Students need to have the probabilistic thinking ability to face the life which is full of uncertainty. The purpose of this research is to formulate the stages of mathematical probabilistic thinking processes in solving probability problems. It was a descriptive qualitative research involving eight students of the 9th grade of SMP Muhammadiyah 3 Mlati Sleman Yogyakarta as the subjects. We administered a probabilistic thinking test and then observed and interviewed them to get the data. The data were then analyzed using triangulation method. This study resulted the five stages of mathematical probabilistic thinking process. They are: (1) understanding the problem of uncertainty that needs to be solved; (2) identifying all possibilities that will occur from a problem; (3) grouping the results of the identified event; (4) determining the probability of the occurred events; and (5) verifying the results.
The Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach Khathibul Umam Zaid Nugroho; Y. L. Sukestiyarno; Adi Nurcahyo
Edumatika : Jurnal Riset Pendidikan Matematika Vol. 4 No. 2 (2021): November 2021, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (983.923 KB) | DOI: 10.32939/ejrpm.v4i2.1015

Abstract

Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry. The starting point of learning must be close to students' local minds and culture. The purpose of this study is to describe the weaknesses of Euclidean geometry as a step in analyzing the needs of non-Euclidean geometry learning through an ethnomathematics approach. This research uses qualitative descriptive methods. The subjects of this study were students of Mathematics Education at State Islamic University (UIN) Fatmawati Soekarno Bengkulu, Indonesia. The researcher acts as a lecturer and the main instrument in this research. Researchers used a spatial ability test instrument to explore qualitative data. The data were analyzed qualitatively descriptively. The result of this research is that there are two weaknesses of Euclidean geometry, namely Euclid’s attempt to define all elements in geometry, including points, lines, and planes. Euclid defined a point as one that has no part. He defined a line as length without width. The words "section", "length", and "width" are not found in Euclidean Geometry. In addition, almost every part of Euclid’s proof of the theorem uses geometric drawings, but in practice, these drawings are misleading. Local culture and ethnomathematics approach design teaching materials and student learning trajectories in studying Non-Euclid Geometry.
Developing Discovery Learning Worksheet to Foster Junior High School Students’ Mathematical Literacy Vita Istihapsari; Y. L. Sukestiyarno; Hardi Suyitno; Rochmad Rochmad
International Conference on Science, Education, and Technology Vol. 8 (2022)
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This study aims to develop student worksheet for junior high school students in the setting of discovery learning and find out its validity and practicality. The developed worksheet is expected to be valid and practical to foster the students’ mathematical literacy. We used the framework of analysis, design, development, implementation, and evaluation (ADDIE) to develop the worksheet. During the development, we involved experts in school mathematics to review the content, experts in learning media to review the worksheet quality as a form of media, and 34 eight grade junior high school students in Yogyakarta to try out the worksheet. The material used in the worksheet is circle. During the validation process, we used the check list instrument, while in the try out process, we used questionnaire. This study successfully produced a valid and practical worksheet to foster the students’ mathematical literacy. Experts provide score of 151.5 (very good) in substantial aspect and score of 149 (very good) in media quality aspect. Moreover, the average score of students’ response towards the developed worksheet is 125.6 (good), which indicates that the worksheet is practical.