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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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KAJIAN ETNOMATEMATIKA TERHADAP TRADISI UPACARA POTONG RAMBUT GEMBEL (RUWATAN) MASYARAKAT KABUPATEN WONOSOBO DALAM RANGKA PENENTUAN ASPEK-ASPEK MATEMATIS DAN IMPLEMENTASINYA DALAM PEMBELAJARAN MATEMATIKA Zulfah Khanafiah
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.v1i2.1-15

Abstract

Tujuan penelitian ini adalah untuk mengetahui aspek historis, kultural, filosofis, dan matematis dari fenomena anak-anak berambut gembel di Kabupaten Wonosobo sehingga ditemukan relevansi tradisi upacara cukur rambut gembel (ruwatan) yang dapat di implementasikan dalam pembelajaran matematika. Penelitian ini adalah penelitian lapangan dengan metode kualitatif dan pendekatan deskriptif kualitatif. Sumber data penelitian terdiri atas sumber data primer dan sumber data sekunder. Sumber data primer diperoleh dengan metode wawancara terhadap Kepala Bidang Kebudayaan Dinas Pariwisata dan Kebudayaan Kabupaten Wonosobo dan salah satu tokoh sesepuh atau pemangku adat Kabupaten Wonosobo, sedangkan sumber data sekunder diperoleh dengan studi dokumen. Adapun hasil penelitian ini menunjukan bahwa: (1) tradisi cukur rambut gembel merupakan budaya yang berkembang sejak lama di masyarakat Kabupaten Wonosobo yang sarat akan aspek historis, kultural, filosofis, dan matematis (2) terdapat 14 aspek matematis menurut Alan J. Bishop dalam upacara cukur rambut gembel (3) aspek matematis yang terdapat dalam cukur rambut gembel dapat di kembangkan dalam pembelajaran matematika (4) hasil review ahli menunjukan bahwa kajian etnomatematika diperoleh skor rata-rata sebesar 4,0715 dengan indeks valid/memuaskan (5) Relevansi antara cukur rambut gembel, etnomatematika, dan pembelajaran matematika terdapat pada bentuk tumpeng yang menyerupai bangun kerucut dan unit of time (satuan waktu dalam Kalender Jawa) yang dapat di aplikasikan dalam soal berbentuk HOTS.
Mathematics Student Worksheet Based on Guided Discovery for Concept Understanding and Curiosity Depri Adelia; Raekha Azka
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.v3i2.6316

Abstract

This study aims to develop and produce a mathematics student worksheet based on guided discovery to facilitate the understanding concept and the curiosity of eighth grade students on prism and pyramid material. The type of research is research and development using the Richey and Klein development procedure, which consists of the planning, production, and evaluation. Mathematics student worksheet assessment for material and media experts. Material and media experts fill out the mathematics student worksheet assessment. The research data analysis technique is product quality analysis. According to the evaluation of material experts and media experts, the mathematics student worksheet is very good. Based on the results of the study, it found that the quality of the mathematics student worksheet based on guided discovery was classified as very good with the specification of the average score of the material expert validator assessment of 194.5 from the ideal maximum score of 208 and classified in the very good category with the specification of the average score of the media expert validator assessment of 57 from the ideal maximum score of 72. Based on this, the product of the guided discovery-based math worksheets is declared valid and can use in the learning process.
The Effect of Problem-based Learning Model Modified by Cognitive Load Theory on Mathematical Problem Solving Skills Maulida Nur Zahara; Aan Hendrayana; Aan Subhan Pamungkas
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.v2i2.41-55

Abstract

The background of the research is based on the fact that problem solving skills and its process is still low so that those create overload information. Another way to overcome this problem is to use a problem-based learning model which concerns on cognitive load theory. This study is aimed to determine on how students' problem solving skills when using a problem-based learning model modified by cognitive load theory. This research method uses a combination of research methods, namely quantitative as primary data and qualitative as secondary data. The population in this study are all students of grade VII Junior High School accredited A in Tangerang Regency. The sampling technique used is cluster random sampling and the selected sample is 60 students of Grade VII SMP Negeri 3 Cikupa which divided into experimental class and control class. The instruments in this research are 5 short essay tests and non-tests, questionnaire and interview. Based on data analysis’ result, it can be concluded that the achievement and improvement of students' mathematical problem solving abilities which use problem-based learning model modified by cognitive load theory is better than for those using problem-based learning generally.
Comparison of the Effectiveness of Learning Model Problem Posing with Quantum Learning TANDUR toward Students’ Understanding in Mathematics Concept Muhammad Luqman Asy'ary; Afifah Mad Jais
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.v3i1.4405

Abstract

The purpose of this research is to know the effectiveness of the learning model Problem Posing type Post Solution Posing with Quantum Learning TANDUR type to understand the concept of mathematics on the integral material is not necessarily use three-teir multiple choice diagnostic test based E-Learning class XI MIPA students in SMA N 1 Bringin year Lesson 2019/2020. This research is a quantitative study of quasi-experimental experiments with the design of Posttest Only Control Group design. The samples in this study were students of grade XI MIPA 1 and XI MIPA 2 SMA N 1 Bringin. The instrument used in this study was about understanding the mathematical concept of Three-Teir Multiple Choice Diagnostic Test. The results of the study gained that the classifications of class-savvy category XI MIPA 1 have an average of 26.18% while the class XI MIPA 2 has an average of 21.47%. Thus, understanding the concept of class XI MIPA 1 is higher than the class XI MIPA 2. Then based on the results of the hypothesis test using an average similarity test with test-T scores obtained t-count =-0.00691 is between-2.02 ≤ t-table ≤ 2.02 which means that the effectiveness of implementation of learning model Problem Posing type Post Solution Posing same as the application of learning model of Quantum Learning TANDUR type towards understanding student mathematics concept.
ANALYSIS OF MATHEMATIC REASONING ABILITY THROUGH OPEN-ENDED PROBLEMS IN CLASS XII ACCOUNTING 1 VOCATIONAL SCHOOL, DIPONEGORO SALATIGA STUDY YEAR 2020/2021 Annisa Puspita Fanhary
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.v1i2.16-28

Abstract

AbstractThe purpose of this study was to analyze the mathematical reasoning abilities of students in class XII Accounting 1 SMK Diponegoro Salatiga, the efforts of teachers in maximizing the mathematical reasoning abilities of students in class XII Accounting 1 at SMK Diponegoro Salatiga, and the efforts of the teacher in overcoming problems with the students' low mathematical reasoning abilities. The method used in this research is to use a qualitative approach. Data collection in this study was a written test and interviews. The test was conducted to determine the students' mathematical reasoning abilities by using 3 open-ended questions in the form of descriptions. Interviews were conducted to find out in depth the mathematical reasoning abilities of students in solving math problems which were followed by 6 out of 29 students who were selected based on the students' abilities, namely 2 students with high abilities, 2 students with moderate abilities and 2 students with low abilities. The results of the study reveal that: (1) high-ability students meet the indicators of presenting mathematical statements orally, in writing, pictures and diagrams; submit allegations; manipulating mathematics; compile evidence, provide reasons / evidence for the correctness of the solution; draw a conclusion; and check the validity of an argument. Students who are able to meet the indicators present mathematical statements orally, in writing, pictures and diagrams; submit allegations; and manipulate math. Low ability students meet the indicators of presenting mathematical statements orally, in writing, pictures and diagrams; and put forward allegations. (2) the efforts of the teacher in maximizing the mathematical reasoning abilities of students in class XII Accounting 1 SMK Diponegoro Salatiga by enriching and remedials. (3) the efforts of the teacher in overcoming students' low mathematical reasoning abilities by conducting peer tutoring.   Keywords: Ability Analysis, Mathematical Reasoning, Open-ended Problems.
The Analysis of Mathematical Communication's Ability in Derivative Materials Observed from Introvert and Extrovert Personality Types Salisa Rojiatur Rohmah; Hanif Uli Rona
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.v2i2.66-82

Abstract

The purpose of this study is to determine mathematical communication skills that assessed from introvert and extrovert personality types, to determine the strengths and weaknesses of each personality type. This research is a qualitative descriptive study. The class subjects are students of SMA Kartika III-1 Banyubiru, grade XI MIPA 2 (Mathematics and Natural Science). The subjects of the research are 2 introvert and 2 extrovert personality types' students. The procedures of collecting data are written tests, interviews, questionnaires and documentation. The results of this study show that mathematical communication skills in terms of introvert personality type are able to meet 1 indicator. That is the ability to explain ideas, situations and mathematical relations in writing. In contrast, the extrovert personality type meets 2 indicators of mathematical communication skills. There is the ability to express daily events in language or mathematical symbols and the ability to read mathematical symbols. The strengths of introvert personality type are able to explain ideas verbally and in writing. Then the weaknesses are difficult to understand the problem of mathematical images and symbols. In contrast to the introvert, extrovert personality's strengths are able to understand mathematical symbols, and then its weaknesses are hard to understand mathematics questions.
Mathematical Representation Ability and Student Confidence through Auditory Intellectually Repetition Nia Jusniani; Eka Firmansyah
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.v3i2.5442

Abstract

The purpose of this study is to determine the difference in the ability of mathematical representation of students students' confidence who use the auditory intellectually repetition learning model with students who use the usual learning model. This research is used quantitative analysis with the Quasi-Experimental Design method. The research design used is a nonequivalent control group design. This study's population was grade VII students academic year 2018/2019. The samples in this study were selected using a purposive sampling technique with grade VII-1 as an experimental class of 30 students and grade VII-2 as a Control class with 30 students. Experimental classes follow learning with auditory Intellectually Repetition models, and control classes follow conventional learning. The research analysis results showed that there were differences in the ability of mathematical representation of students using auditory intellectual repetition learning models with students using ordinary learning models. There is a difference in the confidence of students who use Auditory Intellectually Repetition learning with students who use the usual learning model.
Pengembangan Lembar Kerja Peserta Didik (LKPD) Berbasis Etnomatematika pada Materi Garis dan Sudut Tira Silvia
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.v1i2.38-45

Abstract

Penelitian  pengembangan LKPD   berbasis Etnomatematika bertujuan untuk mengetahui kualitas LKPD sebagai media pembelajaran. Jenis penelitian  yaitu pengembangan yang mengacu pada model pengembangan  ADDIE yaitu: Analysis, Desain, Development, Implementation, dan Evaluation. Akan tetapi pada penelitian ini dibatasi hanya sampai pada tahap ke tiga yaitu  tahap pengembangan (development). Penelitian ini  dilaksanakan di SMP N 3 Salatiga. Instrumen yang digunakan dalam penelitian ini adalah angket lembar validasi, lembar penilaian kepraktisan yang berupa lembar angket respon guru dan angket lembar respon peserta didik, lembar validasi dan lembar angket guru digunakan untuk mengetahui kualitas LKPD yang dikembangkan, sedangkan lembar angket respon peserta didik digunakan untuk mengetahui seberapa besar respon peserta didik terhadap LKPD yang dikembangkan.Hasil analisis data yaitu (1) hasil validasi LKPD berbasis etnomatematika dari dua validator diperoleh skor aktual 165  dengan kategori sangat valid, (2) hasil lembar angket guru diperoleh skor 39 dengan kategori sangat praktis (3) hasil respon peserta didik terhadap LKPD berbasis etnomatematika diperoleh presentase 80% dengan kategori kuat. LKPD berbasis etnomatematika yang dikembangkan dalam penelitian ini berkualitas baik dan layak untuk di implementasikan.
Analysis of the Mathematical Communication Ability of Pre-Service Mathematics Teachers through Online Learning during the Covid-19 Pandemic Sumargiyani Sumargiyani; Bidayatun Nafi'ah
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.v2i2.98-119

Abstract

During the current Covid-19 pandemic, the learning system in all educational institution is shifted from face to face to online learning, including universities. This study aims to describe the results of the mathematical communication skills of class B students of Mathematics Education from Ahmad Dahlan University for the 2019/2020 academic year during online learning during the Covid-19 pandemic and to examine students' mistakes in solving differential calculus problems regarding the minimum, maximum material. This study employed descriptive qualitative research. The research instrument used is a test and interview guide. The data are collected using tests and interviews. The research subjects were selected by stratified random sampling technique so that 6 students are classified into high, medium and low categories. The questions are in the form of a description of one question with six questions. The results showed that students' mathematical communication skills on indicators (1) restating information was done appropriately, (2) writing down ideas or problem-solving steps clearly and precisely, some were not thorough, (3) presenting information using graphic images again. There are still things that they couldn't understand and (4) Writing down the answers according to what is known and are asked using mathematical formulas, some are still wrong because they are not accurate.
Utilization of The Thrasher and Rice Mill Machines in Composition Function Learning: A Hypothetical Learning Trajectory Design Ulfa Masamah; Dadan Sumardani
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.v3i2.5994

Abstract

The study aims to design mathematics learning in composite function concepts with farm tools, which are thrasher and rice mill machines; this farm’s tool is used as to starting point in the learning process. The research method used is design research with a  preliminary design, design experiment, and analysis retrospective stages. This study describes the design of the thrasher and rice mill machine to facilitate a real contribution for student understanding of the composite function concept. The participant of this research is 10 eleventh-grade students from one of the senior high school in East Java. The results of this study reveal that students are able to make associations from the thrasher and rice mill machine through the determination of the input and output of the machines to the formula of the composite function concept. So, the stages in the learning trajectory have an important role in understanding the composition function concept from informal level to formal level and also make the study of mathematics more easy, simple, fun, and comfortable.

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