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All Journal Jambura Journal of Mathematics Education Unnes Journal of Mathematics Education
Yuwono, Layli Rahmania
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Education Mathematics

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Deskripsi Kecakapan Matematika Siswa pada Materi Trigonometri Luhukay, Agnes Stefine; Rontos, Ferdy; Yuwono, Layli Rahmania; Ramadani, Leni; Muchlis, Ahmad
Jambura Journal of Mathematics Education Vol 5, No 1: Maret 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jmathedu.v5i1.15902

Abstract

One of the things that teachers must do is assessment. Assessment is useful for collecting information that is used as the basis for planning and action in improving and achieving learning goals. However, in real life practice it is not easy for teachers to do it. Therefore, this study aims to provide an overview for teachers in conducting mathematics assessments referring to the five strands of mathematical proficiency, especially in trigonometry unit lesson. The method used in this research is descriptive qualitative method. Some of the results obtained from this study, namely: (1) Conceptual understanding proficiency include understanding and using related trigonometry concepts and connecting related concepts, such as the concept of comparison, algebraic operations, and the concept of triangles; (2) procedural fluency relates to students' ability to choose procedures and how to use them. Some of the procedures carried out by students include the procedure of communicating information from the existing problem, performing operations, concluding the solution to the problem; (3) strategy competency encountered to solve trigonometric problems is to make illustrative images; (4) adaptive reasoning can be seen from their ability to understand the trigonometric problems given and the information contained therein. This is indicated by students' arguments in the form of image communication and algebraic expressions written down in solving the problem; (5) productive disposition will develop if the other four proficiencies develop.
Using the History of Circle and Parabolic Segment Areas as Learning Alternatives in Integral Yuwono, Layli Rahmania; Lindiarni, Janny; Afgani, Rizal
Unnes Journal of Mathematics Education Vol. 13 No. 1 (2024): Reguler Issue
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/vw82bv85

Abstract

This article will present some classic problems in the Ancient Greece period: the ratio of the areas of two circles problem solved by Eudoxus and the area of a parabola segment problem solved by Archimedes. These problems can be used as alternative teaching resources to give the students an early understanding of the integral concept. This article focuses on finding alternatives for teaching integral material through theorems and historical understanding without calculus knowledge. This study used a systematic literature review method to analyze the mathematical content and the historical influences on their problem-solving methods. The literature sources were indirect sources such as journals, books, and other written literature. The results show that Eudoxus' principle has been a special limit problem since the period, helping solve the ratio of the areas of two circles problem, and there has been a special case of infinite geometric series solving the area of parabolic segment problem. This article gives some recommendations for the teachers at the end of the article, on how to give a representation of the propositions discussed in this article to the students so the students can understand the connections between the prior area problem (in which the area is bounded by its line segments) and the integral concept which will be learned.
Co-Authors Afgani, Rizal Ahmad Muchlis Janny Lindiarni Luhukay, Agnes Stefine Ramadani, Leni Rontos, Ferdy