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Hipotenusa : Journal of Mathematical Society
Published by Institut Agama Islam Negeri Salatiga
ISSN : -     EISSN : 27163156     DOI : https://doi.org/10.18326/hipotenusa.v2i1.1-5
Core Subject : Education,
Education Mathematics Other
Realistic Mathematics Education (RME) is a teaching and learning theory in mathematics education that was first introduced and developed by Freudenthal. Two of his important points of view are mathematics must be connected to reality and mathematics as a human activity. RME is implemented following three principles, they are guided reinvention and progressive mathematizing, didactical phenomenology, self-developed model. Furthermore, the practice of RME also has its characteristics, they are phenomenological exploration or the use of contexts, the use of models or bridging by vertical instruments, the use of students own productions and constructions or students contribution, the interactive character of the teaching process or interactivity, and the intertwining of various learning strands. A paper is eligible to be included in this topic if the paper accommodates these three principles and these five characteristics. Educational design research is perceived as the systematic study of designing, developing, and evaluating educational interventions (programs, teaching-learning strategies, and materials, products, systems) as solutions to such problems. It also aims at advancing our knowledge about the characteristics of these interventions and the processes to design and develop them. Authors could submit their work, either a validation study or a development study in mathematics education, with a comprehensive description and analysis of every stage.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 60 Documents
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PEMBELAJARAN MATEMATIKA DI LINGKUNGAN NYATA Siti Norhidayah
Hipotenusa : Journal of Mathematical Society Vol 1, No 2 (2019)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v1i2.46-51

Abstract

Di latar belakangi oleh permasalahan bahwa pengajaran matematika cenderung  membosankan karena pelajaran matematika dianggap hanya mempelajari hal-hal abstrak dengan sederet angka-angka yang dipelajari monoton hanya di dalam kelas. Sudah saatnya pembelajaran matematika dikondisikan dengan lebih menyenangkan, tanpa keterpaksaan dan tentunya tanpa mengabaikan kebermaknaannya. Pemanfaatan lingkungan sebagai media nyata dalam proses pembelajaran matematika tentulah sangat menarik. Hal ini akan lebih efektif jika dimulai dengan membiasakan mahasiswa sebagai calon guru agar berpikir lebih kreatif untuk mengkondisikan lingkungan sekitar baik sebagai sarana, media, bahkan sebagai sumber masalah yang menarik untuk dipecahkan bersama.  Banyak obyek nyata di lingkungan sekitar yang bisa diamati secara langsung dan bisa dimanfaatkan untuk meningkatkan pemahaman mahasiswa tentang konsep-konsep matematika.Dengan memanfaatkan lingkungan, mahasiswa akan terbiasa belajar untuk lebih aktif dalam mengembangkan keterampilan berinteraksi dengan lingkungan, mengeksplorasi kemampuan matematisnya, berdiskusi dan menentukan solusi dari permasalahan nyata yang ada di lingkungan sekitarnya.
Developing Essay Questions on Prism and Pyramid for the Ability to Understand Mathematical Concept Ingkha Jameela; Yuriska Destania
Hipotenusa : Journal of Mathematical Society Vol 2, No 2 (2020)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v2i2.83-97

Abstract

The purpose of this study was making valid and practical essay questions on prism and pyramid for students' ability to understand mathematical concepts. The method used was Research and Development with the Tessmer development model consisting of preliminary stages, self-evaluation, expert review and one-to-one stages. The results of this study were in the form valid and practical (legible) essay questions on prism and pyramid for the ability to understand mathematical concepts. the validity of the questions was seen from the validators' comments on the questions and the practicality (legibility) of the questions is seen from the readability of the questions when given to students. There were 10 valid and practical (legible) questions obtained in the end of this research.
Android Snake Ladder on Triangle using TGT Learning Model to Increase Learning Motivation Melania Eva Wulanningtyas; Yusup Davit Palma Putra; Ni Nyoman Triani; Nofica Andriyati
Hipotenusa : Journal of Mathematical Society Vol 3, No 2 (2021)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v3i2.6295

Abstract

The aims of this research were developing mathematics learning media based on android using Teams Games Tournament (TGT) learning type on triangle materials to improve learning motivation of class VII Junior High School students according to these validity, practical, and effective criterias through snake ladder game. The subject of this research were 28 students of class VII D SMP Negeri 1 Sedayu.  This research based on ADDIE developing model contains 5 steps: (1) analysis, (2) design, (3) development, (4) implementation, and (5) evaluation. The results of this research showed that mathematics learning media based on android using Teams Games Tournament (TGT) learning type on triangle materials to improve learning motivation of class VII Junior High School students was completed on: (1) validity aspect through material expert validation with score 64 and categorized very good in criteria also media expert validation with score 64 and categorized very good in criteria. (2) practical aspect through mathematics learning media based on android tested to 28 students with student response questionnaire score was 1.053 and categorized good in  criteria. (3) effectiveness aspect through increasing learning motivation students as much as 26% from 54% to 80%. So, it can be concluded that mathematics learning media based on android is appropriate for learning activity and beneficial to improve learning motivation students.
Improving Mathematics Problem Solving Ability through Team Assisted Individualization Learning Model Arrahim Arrahim; Rini Endah Sugiharti; Desinta Damayanti
Hipotenusa : Journal of Mathematical Society Vol 2, No 2 (2020)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v2i2.120-132

Abstract

The purpose of this study was to improve students' problem-solving abilities using the Team Assisted Individualization (TAI) model in students grade IV of Bekasi Jaya II State Elementary School. This study was carried out because of the students' low problem-solving ability in Mathematics.This study employed the Classroom Action Research approach, which was conducted in two cycles. Each cycle has four stages, namely, planning, implementation, assessment, and reflection stage. About 27 students from grade IV has participated in this study. Data collection was carried out through written tests and observation sheets. Data were analyzed with descriptive analysis. The criterion for success in this study is if 80% of students achieve a minimum score of 75.Based on the results, the students' problem-solving ability in cycle I with classical completeness was 59%, and got an average score of 72. In cycle II with 89% classical completeness, and the mean score of students' problem-solving abilities increased to 88. Thus, it can be concluded that the Team Assisted Individualization model can improve the conceptual understanding of grade IV students of Bekasi Jaya II State Elementary School.
Analisis Kemampuan Model Pembelajaran Guru dalam Mengembangkan Keterampilan Berpikir Siswa pada Pembelajaran Matematika Zainatul Maulidiyah
Hipotenusa : Journal of Mathematical Society Vol 1, No 2 (2019)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v1i2.29-37

Abstract

AbstrakPenelitian ini bertujuan untuk mendeskripsikan kemampuan model pembelajaran guru dalam mengembangkan keterampilan berpikir siswa kelas XI pada pembelajaran matematika di MA Miftahul Ulum Mranggen Demak Tahun Pelajaran 2019/2020. Penelitian ini menggunakan pendekatan kualitatif deskriptif dengan metode kualitatif. Subjek penelitian ini adalah guru matematika dan peserta didik di MA Miftahul Ulum Mranggen Demak dengan jumlah 7 orang. Teknik pengumpulan data menggunakan wawancara, dan dokumentasi. Hasil penelitian adalah sebagai berikut: 1) Guru matematika di MA Miftahul Ulum Mranggen Demak merupakan tipe guru yang efektif. Hal itu terlihat dari semangatnya dalam bekerja, keramahannya kepada siswa sehingga mampu menjadi komunikator yang baik antara guru dengan siswa, melakukan persiapan pembelajaran dengan baik, dan memiliki cara tersendiri dalam mengembangkan keterampilan berpikir siswa. 2) Upaya yang dilakukan guru matematika di MA Miftahul Ulum Mranggen Demak agar siswa dapat berpartisipasi aktif dalam pembelajaran untuk mengembangkan keterampilan berpikir siswa diantaranya guru memberikan motivasi, dan memberikan penghargaan kepada siswa. 3) Peran dan tugas guru matematika dalam mengembangkan keterampilan berpikir siswa disini sudah terlaksana dengan efektif, yaitu dengan adanya guru sudah mendidik, mengajar, dan melatih siswa dengan baik, guru mampu menarik simpati siswa sehingga siswa mampu menerima materi yang disampaikan tanpa terpaksa dan mudah dipahami dan siswa mampu mengembangkan keterampilan berpikir.Kata Kunci: Kemampuan Guru; Keterampilan Berpikir; Pembelajaran MatematikaAbstractThis study aims to describe the ability of teacher learning models in developing class XI learning in mathematics learning in MA Miftahul Ulum Mranggen Demak 2019/2020 Academic Year. This research uses desriptive qualitative methods. The subjects of this study were mathematics teachers and students in MA Miftahul Ulum Mranggen Demak with total of 7 people. Data collection techniques using interviews, and settings. The results of the study are as follows: 1) The mathematics teacher at MA Miftahul Ulum Mranggen Demak is an effective type of teacher. This can be seen from his enthusiasm in working, improving it for students so that they are able to communicate well with the teacher, prepare well for learning, and have a special way of developing student thinking learning. 2) the efforts made by the mathematics teacher at MA Miftahul Ulum Mranggen Demak so that students can communicate in learning to develop student skills that provide motivation, and give appreciation to students. 3) the role and task of mathematics teachers in developing students “thinking skills here has been carried out effectively, namely by having teachers who have educated, taughte and trained students well, teachers are able to attract students” sympathy so that students can receive the material delivered easily and fun and students are able to develop thinking skills.Keywords: Theacher’s Ability, Thinking Skills; Mathematics Learning
Students Error Analysis In Exponential And Logarithmic Equations Tri Astuti Arigiyati; Welly Yumarsa; Eka Wahyuni Novianti; Betty Kusumaningrum
Hipotenusa : Journal of Mathematical Society Vol 3, No 2 (2021)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v3i2.6312

Abstract

Mathematics is one of the basic concepts needed by students at every level of education. However, students often have difficulty in understanding mathematics. This can be seen from the mistakes made when working on math problems. Errors made by students must be addressed immediately so that no more errors occur, especially on questions that have the same characteristics. The purpose of this study was to determine the percentage of conceptual errors, arithmetical errors, writing errors and the most common mistakes made by students on the subject of exponential and logarithmic equations. Sampling was done by using purposive random sampling technique. The data in this qualitative descriptive study were collected using test, interview, and documentation techniques. The instrument used to collect data was in the form of test questions and interview guide sheets. The data were analyzed by categorizing the types of errors into conceptual errors, arithmetic errors, and writing errors and then calculating the percentage of errors in each category. The results showed that the errors made by students in each category were conceptual errors of 53%, arithmetical errors of 34.78% and writing errors of 28.99%. The error that many students make is a conceptual error as much as 53% with a moderate error percentage category.
Worksheets Electronic Development of STEAM-Based to Improve Students' Creative Thinking Ability Deden Dicky Dermawan; Kinanti Andartiani
Hipotenusa : Journal of Mathematical Society Vol 4, No 1 (2022)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v4i1.7213

Abstract

This study aimed to develop a valid, practical, and effective STEAM-based E-LKPD to improve students' creative thinking skills. This study used research and development procedures with reference to the 4D model (Define, Design, Develop, and Disseminate) but this research is only up to the develop stage. The experimental design used is "One Groups Pretest-Posttest Design" with 72 students as research subjects. The research instruments include observation sheets, interview sheets, expert validation test sheets, written tests (pretest and posttest), and questionnaire sheets (questionnaire). The results of the research that have been gained, it is known that the validity of the E-LKPD according to the material expert validator is 91.6 in the very valid category, the media expert validator is 75 in the valid category, and the language expert validator is 85 in the very valid category. The effectiveness of E-LKPD according to the results of the N-Gain test calculation of 0.61 is included in the category of quite effective and showed that there was a significant increase in creative thinking skills before and after using STEAM-based E-LKPD with 91% classical completeness results with complete criteria. The STEAM-based E-LKPD was declared practical according to the results of teacher and student respondents who showed the results of teacher respondents, namely scores of 83 and 80 with very interesting categories and student respondents producing an average score of 81 with very attractive categories. The conclusion of the research is that the development of STEAM-based E-LKPD is suitable for distance learning activities and can improve students' creative thinking skills.
Using Watson Criteria for Analyzing Student Errors: Systematic Literature Review (SLR) Aswin Aswin; Dadang Juandi
Hipotenusa : Journal of Mathematical Society Vol 4, No 1 (2022)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v4i1.7239

Abstract

This study aims to analyze the distribution of research related to the use of the Watson criteria in analyzing student errors at all levels of education. The method used is Systematic Literature Review (SLR). The sample consists of 42 results of qualitative research on the use of Watson's criteria in analyzing student errors. Samples were taken from indexed journals published in the 2017-2021 period. The key question of this research is how the description of the distribution of research related to the use of the Watson criteria in analyzing student errors, is reviewed based on the year of publication, level of research, methods used, number of subjects, types of questions, demographics, and types of errors made by students. Through the SLR method, it was found that there was an increase and decrease in the number of studies over the last five years. Based on the criteria for junior high school level studies, the use of descriptive qualitative methods, using story questions, with less than 30 subjects, and the demographics of research on the island of Java are the most dominant. The most dominant student errors are procedural errors and missing conclusions. This becomes very important to be considered in learning mathematics.
Analytical solution to the Black-Scholes Equation: Adomian Decomposition Method Versus Lie Algebraic Approach Tresor landu Ngoyi; R. Gilles Bokolo; Rostin Matendo Mabela
Hipotenusa : Journal of Mathematical Society Vol 4, No 1 (2022)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v4i1.7183

Abstract

In this paper, we compare two relevant methods to find Analytical solution of the Black-Scholes Equation. First, we apply the Adomian Decomposition Method as in [2], to obtain a solution to the aforementioned equation with boundary condition for a European option. Secondly, we apply the Lie algebraic Approach for determining the solution as in [7]. Those two methods conducted us to investigate the thin line between the underlying results. Finally, we suggest a simple enhanced Due Diligence on both approaches.
Ethnomathematics: Exploration of Mathematics and Cultural Values in the Performing Arts of the Sasak Tribe Perisean Lalu Muhammad Fauzi; Nila Hayati; Muhammad Gazali; Asri Fauzi
Hipotenusa : Journal of Mathematical Society Vol 4, No 1 (2022)
Publisher : Program Studi Tadris Matematika IAIN Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v4i1.7240

Abstract

Perisean art developed since the 13th century according to existing history, which started with a ritual to ask for rain when there was a long dry season which resulted in a famine. Perisean art performances are currently used as mere agility art performances. Pepadu is a term for players or fighters. The show is led by three referees, one pekembar tengaq (middle referee) who is in charge of leading the fight and two pekembar sedi (side referee) who is in charge of determining each pepadu. Perisean art is not only studied in the form of art but can also be studied as a form of contextual learning in mathematics. Thus, this study aims to explore the forms of mathematics and cultural values contained in the performing arts of perisean which can later be used as a source of contextual mathematics learning. This research is a qualitative research using ethnographic method. The informants used are traditional figures, pepadu, and cultural experts who understand the art of perisean , documentation and field notes. The findings show that in the performing arts of perisean in the tradition of the Sasak people there are mathematical ideas, namely geometric shapes found in perisean art instruments and musical instruments. which has the potential as a starting point in contextual mathematics learning.

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