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Hipotenusa: Journal of Mathematical Society
Published by Universitas Islam Negeri Salatiga
ISSN : -     EISSN : 27163156     DOI : https://doi.org/10.18326/hipotenusa.v6i1.1956
Core Subject : Education,
Mathematics
Aim : Hipotenusa: Journal of Mathematical Society is an electronic journal that provides a forum for publishing original research articles, review articles from contributors, and news about novel technologies related to mathematics education. The journal is intended for writers, teachers, students, professors, and researchers who wish to publish their research reports or literature review articles (the latter for invited contributors) on mathematics education and its instructional methods. Focus and Scope : 1. Thinking: Encompasses studies and research related to mathematical reasoning, problem-solving, and the cognitive processes involved in understanding mathematical concepts. 2. Learning: Encourages papers that explore innovative methodologies, pedagogical strategies, and best practices for effective mathematics education. 3. Assessment: Includes research on assessment techniques, evaluation methodologies, and the effectiveness of different types of assessments in measuring mathematical understanding and proficiency. 4. Evaluation: Seeks studies evaluating educational programs, curricula, and instructional methods in mathematics education, as well as their outcomes and impacts.
Arjuna Subject : Ilmu Sosial - Pendidikan
Articles 48 Documents
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Newman Error Analysis (NEA): Identifying Students' Functional Thinking Errors Based on Self-Efficacy Yuniati, Suci; Rizky Aulia Nisa; Annisah Kurniati; Depriwana Rahmi; Evrim Erbilgin
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 1 (2025): Hipotenusa : Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i1.2092

Abstract

This study aims to analyze the relationship between self-efficacy and high school students' errors in functional thinking using Newman Error Analysis (NEA). This study uses a qualitative approach with a descriptive method to analyze the pattern of students' functional thinking errors in solving mathematical problems. The subjects of the study were selected by purposive sampling based on variations in students' self-efficacy levels (high, medium, and low) to obtain a more comprehensive representation in the analysis of functional thinking errors. Students' self-efficacy was measured using a Likert scale-based questionnaire, while essay-based tests were used to identify their mathematical functional thinking abilities. Additional data were obtained through interviews based on interview guidelines to understand students' functional thinking processes in solving problems. The validity of the research data was achieved using the triangulation method by comparing test result data, questionnaires and interview guidelines. The results showed that students with high and medium self-efficacy tended to make fewer functional thinking errors than students with low self-efficacy. Students with low self-efficacy made more errors in understanding problems (comprehension errors), transforming information (transformation errors), applying procedures (process skill errors), and writing final answers (encoding errors). These findings can be a basis for teachers in designing more effective learning strategies to improve understanding of the concept of function.
Student’s Mathematics Ability in Written Communication Based on Van Hiele's Theory and Gender Putri Rosyadi, Alfiani Athma; Yus Mochamad Cholily; Abdul Latief; Siti Salina Mustakim
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 1 (2025): Hipotenusa : Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i1.3495

Abstract

The student's ability to express and understand mathematical ideas in writing; Whether in tables, formulas, diagrams, drawings, or demonstrations, is called the student's written mathematical communication skills. Van Hiele's theory divides students' development in learning geometry into five levels, namely from level 0 to level 4. The purpose of this study is to find out students' mathematics ability in written communication based on Van Hiele's theory which is reviewed from gender differences. This research is a qualitative descriptive research. Students' mathematical communication skills at level 4: (1) can visually classify flat shapes, (2) can describe flat shapes visually, (3) can show the characteristics of flat shapes through pictures, (4) can write the relationships of concepts on flat shapes well, (5) can write how to determine the area and circumference of flat shapes, (6) can use terms and notation to present data. Meanwhile, level 1 students are still not able to describe the shapes of flat buildings visually well and are not able to write down the relationship of concepts on flat buildings well. In addition, related to gender, some aspects are superior to men and others are superior to women.
Integrating Augmented Reality in RME-Based Digital Learning: Impact on Students' Problem-Solving Ability Arifin, Sujinal; Efriani, Arvin
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 1 (2025): Hipotenusa : Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i1.3768

Abstract

This research investigates the efficacy of combining Augmented Reality (AR) technology with the Realistic Mathematics Education (RME) methodology in developing students' mathematical problem-solving capabilities. The investigation examines how the AR-RME integration functions as a potential educational innovation for boosting learner involvement and conceptual comprehension. This research employs a combined design incorporating numerical and descriptive-analytical frameworks. A cohort of 17 secondary school adolescents engaged in AR-RME-facilitated learning across five instructional sessions. Evaluation of participants' problem-solving proficiency was conducted through comparative pre-intervention and post-intervention assessments based on Polya's four-stage methodology: issue identification, procedural planning, implementation of strategies, and outcomes evaluation. Systematic observations were conducted to evaluate student engagement levels. The results of the observations showed the enthusiasm and active participation of the students during the learning. Statistical analysis using paired t-tests revealed a significant improvement in problem-solving skills (t = 8.742, p < 0.05), with the average score increasing to 74.81%. These findings show that AR-RME effectively improves spatial reasoning and understanding of three-dimensional geometry concepts, especially on cubes and blocks. This study confirms that AR-RME is an innovative approach that enhances problem-solving skills and becomes a more interactive and effective learning alternative to conventional methods.
Implementing Mobile Learning with Differentiated Instruction in Calculus: Student Learning Styles Analysis Triana Harmini; Dihin Muriyatmoko; Siti Suprihatiningsih; Ebenezer Bonyah
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 1 (2025): Hipotenusa : Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i1.3883

Abstract

This study aims to examine: (1) differences in Calculus learning achievement between students using mobile learning with differentiated instruction (DI) and those using modules, (2) differences in achievement based on students' learning styles, and (3) the interaction between instructional methods and learning styles on learning outcomes. The participants were 112 Informatics Engineering students at Universitas Darussalam Gontor in the 2023/2024 academic year, divided into two groups: 59 students in the experimental group (using mobile learning) and 53 in the control group (using modules). The study was conducted over five sessions on the topic of Absolute Value Equations and Inequalities. A quasi-experimental method with a 2x3 factorial design was used. The research instruments included an achievement test and a learning style questionnaire. Data were analyzed using two-way ANOVA after confirming normality and homogeneity assumptions. The results showed that: (1) mobile learning with DI is more effective than modules, (2) learning styles significantly affect learning achievement, and (3) there is no interaction between instructional method and learning style. These findings suggest that mobile learning with DI can be effectively implemented regardless of students' learning styles and supports the development of inclusive digital learning environments in higher education.
Optimising the Mathematical Creative Thinking Process of Deporter's Learning Style Assisted E- Module Strukbar Based on Case Method Isti Hidayah; Emy Sohilait; Isnarto; Kristina Wijayanti
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 1 (2025): Hipotenusa : Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i1.3915

Abstract

The purpose of this research is (1) to identify the patterns of mathematical creative thinking processes based on DePorter's learning styles, and (2) to determine the improvement in mathematical creative abilities through learning assisted by the Strukbar E-module based on the Case Method. This research uses the Mixed Method with a Sequential Exploratory type. The research subjects are third-semester students of the 2024/2025 academic year in the Mathematics Education Study Program at STKIP Gotong Royong Masohi, Central Maluku, who are taking the Algebra Structure 1 course. In the qualitative research, the subjects consisted of three prospective teachers with DePorter's learning styles, while the quantitative research involved 26 participants. Data collection techniques include tests, DePorter learning style questionnaires, interviews, and documentation of prospective teachers' work. The research results show that DePorter's Visual, Auditory, and Kinesthetic learning styles each have their own advantages at the stages of mathematical creative thinking, from orientation, preparation, incubation, illumination, to verification. Moreover, the implementation of the Strukbar E-module based on the Case Method has been proven to significantly enhance the mathematical creative abilities of prospective teachers. These findings underscore the importance of teaching methods that align with individual learning styles and the use of digital technology in education.
Augmented Reality Utilization for Mathematical Thinking Skills in Indonesian Junior High Schools Rini, Juwita; Eko Pradipta Kurnaedi; Nurul Husnah Mustika Sari; Rhischa Assabet Shilla
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 1 (2025): Hipotenusa : Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i1.3942

Abstract

Augmented Reality (AR) is one of the technologies used in Indonesian junior high school mathematics learning. This study aims to conduct a systematic literature review on the use of AR and its influence on mathematical thinking skills at the junior high school level from 2020 to 2024. Mathematical thinking skills in this study are focused on students' problem-solving skills, reasoning skills, creative thinking skills, and critical thinking skills The Systematic Literature Review method is used by reviewing, analyzing, and synthesizing findings from 11 previous empirical studies on augmented reality articles at the junior high school level related to mathematical abilities (problem solving, reasoning, creative thinking, or critical thinking) conducted in Indonesia, sourced from the Google Scholar database (indexed Sinta 1 to Sinta 3) and Scopus (articles and proceedings) published in 2020-2024, in English or Indonesian, and full-text articles are available. This study found that researchers have used various methods to investigate AR in junior high school mathematics education, with quasi-experimental designs, often involving control groups, being the most common. Geometry emerged as the most frequently studied topic. AR-based instruction has been shown to improve junior high school students' mathematical skills in Indonesia, demonstrating a significant impact on academic achievement and critical thinking compared to traditional methods, while also enhancing reasoning and problem-solving abilities. The potential challenges of integrating augmented reality into junior high school mathematics instruction include the need for sufficient technological devices, teachers' technological competencies, and effective learning time management.
The Impact of the DNTK Pattern Approach on Student Learning Outcomes in Introduction to Group Theory Course Mashuri; St. Budi Waluya; Zaenuri; Isnarto
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 1 (2025): Hipotenusa : Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i1.4109

Abstract

Introduction to Group Theory is one of the courses in the field of algebra studies in Mathematics Education Study Program at Universitas Negeri Semarang. Various learning models are implemented in lectures to overcome students' difficulties in understanding and mastering abstract lecture material. In this research, learning was carried out using the DNTK Pattern approach. The DNTK pattern approach is a learning pattern that prioritizes understanding Definitions (D) and their Negations (N), Theorems (T) and their Contrapositions (K) before students are given exercises in the Introduction to Group Theory course. The main goal of this approach is to increase students' conceptual understanding of the structure and properties of groups. This research used quantitative methods and the TAM (Technology Acceptance Model) approach to evaluate the effectiveness of the DNTK pattern approach in improving student learning outcomes. The research results showed that students taught using the DNTK pattern approach have a deeper understanding and are able to apply concepts better compared to conventional learning. This article reviewed the DNTK pattern approach theoretically and empirically, and presented the research results as a basis for further implementation in Introduction to Group Theory lectures.
Analyzing Mathematical Creative Thinking Processes in Higher Education: A Learning Style Perspective in Graph Problem Solving Noviana Dini Rahmawati; Budi Waluya; Mulyono; Iqbal Kharisudin
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 1 (2025): Hipotenusa : Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i1.4186

Abstract

This study aims to determine the process of mathematical creative thinking in solving graph problems based on students' learning styles. This research method เว็บสล็อต uses descriptive qualitative. This study was conducted on 5th semester students of the Mathematics Education Study Program, Universitas PGRI Semarang in the 2024/2025 Academic Year. Subjects were taken by purposive sampling. The research instruments were in the form of mathematical creative thinking tests, learning style questionnaires and interview guidelines. R4shub Data analysis techniques included validity, reliability, discriminatory power and difficulty level tests. Furthermore, data validity tests were carried out using the technical triangulation method and qualitative data analysis using an interactive analysis model. The results of the study showed that the mathematical creative thinking process of the average of the four students' learning styles at the preparation stage did not meet the indicators of flexibility and originality. The incubation and illumination stages still need assistance to bring up the originality indicators. เว็บสล็อต While the verification stage has met the four indicators of mathematical creative thinking ability completely. Thus, the findings of this study can be used as a consideration for lecturers in understanding the differences in students' learning styles. Lecturers can provide appropriate scaffolding to make it easier for students to solve graph problems.
Enhancing Algebraic Reasoning in The Classroom: The Effects of Search, Solve, Create, and Share Strategy Mochamad Abdul Basir; Mohamad Aminudin; Dyana Wijayanti; Herlian Dessi Kusumawati
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 2 (2025): Hipotenusa: Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i2.2116

Abstract

Algebraic reasoning is a fundamental competency in mathematics learning; however, many students experience difficulties in applying algebraic concepts, particularly in quadratic functions. This study aims to enhance students’ algebraic reasoning through the implementation of the SSCS (Search, Solve, Create, and Share) strategy, a structured problem-solving instructional approach that emphasizes systematic exploration, solution development, model construction, and mathematical communication. The study employed a collaborative classroom action research design involving Grade X senior high school students, conducted across two cycles consisting of planning, action, observation, and reflection stages. Students’ algebraic reasoning was assessed using indicators that include pattern recognition, algebraic representation, manipulation of algebraic expressions, and logical justification. Data were collected through algebraic reasoning tests and classroom observation sheets. The findings reveal a substantial improvement in students’ algebraic reasoning abilities, with the mean score increasing from 62.33 in the pre-cycle to 81.25 in Cycle II. Additionally, the percentage of students achieving mastery learning increased from 27.78% to 91.67%. These results indicate that the SSCS strategy effectively supports the development of algebraic reasoning by engaging students in structured problem-solving and reflective mathematical communication.
Can Growth Mindset Affirmation be Advantageous for More-knowledgeable Learners? Noka Setya Maharani; Retnowati, Endah; Ellen Lee
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 2 (2025): Hipotenusa: Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i2.2618

Abstract

Growth mindset is known as a believe that intelligent can be learned. Learning anxiety might occur due to self-doubt that one has an ability to learn, such as in a complex topic in mathematics. Therefore, it is assumed that a positive affirmation that directs growth-mindset might be used to manage anxieties in learning mathematics. This study was aimed to investigate that beside the worked example might increase extraneous cognitive load for more knowledgeable learners, it might also be possible it affects anxiety. A total of 128 Indonesian junior high school students were randomly placed in four experiment groups by using the 2x2 factorial design (with vs. without growth mindset affirmation) x (worked example vs. problem solving based instruction) to examine the instruction on transfer abilities, cognitive loads, and level of anxieties. Using ANOVA(s), findings support the expertise reversal effect that the worked examples were disadvantageous for more knowledgeable learners. The data reveals that they also experienced significantly higher anxiety during learning compared to the counterparts. Nevertheless, no effects were found in favor of the growth mindset affirmation.

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