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Mathematical representation: A bibliometric mapping of the research literature (2013–2022) Fredi Ganda Putra; Dewi Lengkana; Sugeng Sutiarso; Nurhanurawati Nurhanurawati; Antomi Saregar; Rahma Diani; Santi Widyawati; Suparman Suparman; Khoirunnisa Imama; Rofiqul Umam
Jurnal Infinity Vol 13 No 1 (2024): VOLUME 13, NUMBER 1, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v13i1.p1-26

Abstract

Mathematical representation ability is an essential skill for students to understand mathematical concepts. Many studies have been conducted regarding this ability, but it is necessary to map existing research to provide a clearer picture of future research topics. This study aims to provide a bibliometric review of trends using mathematical representation skills in mathematics teaching research. The method in this study is bibliometric analysis, which aims to analyze and classify bibliographic material by presenting representative summaries of the literature in the Scopus database. The search was carried out using the keyword "mathematical representation" and selecting "article title" in the search menu in the Scopus.com database. Perish or Publish (PoP) software analyzes the author's name, number of document citations, document title, year of publication, document source, publisher, and document type. The results showed 99 publications and 357 citations related to mathematical representations, where the number of publications and citations fluctuated. The application of learning models and approaches, computer media, and analysis of mathematical representations is a research trend related to this variable. Therefore, paying attention to mathematical representations in learning mathematics and using effective strategies to improve students' mathematical representation abilities is essential. The findings of this study indicate the need to develop syntax and learning media based on mathematical representations to strengthen students' mathematical abilities.
Integrating liveworksheets for multirepresentational probability learning: A study on design validity and instructional effectiveness. Widyawati, Santi; Putra, Fredi Ganda; Bekti, Mutiara Fitria
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 9 Issue 2 April 2024
Publisher : Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v9i2.10399

Abstract

Mathematical representation is essential for students’ understanding, especially in probability which requires visual symbolic and verbal interpretation. However many digital worksheets lack integration across these modes. This study aimed to develop and evaluate a multirepresentational electronic worksheet using the Liveworksheets platform to enhance students’ representational skills in probability. The study applied the ADDIE development model which included curriculum analysis expert validation and classroom implementation through a pretest and posttest design. The worksheet combined interactive charts symbolic equations and explanatory prompts into a unified learning experience. Panels of experts consisting of subject-matter specialists media experts and psychometricians validated the content usability and alignment with educational objectives. Students who participated in pilot activities responded positively and reported high levels of engagement. The pretest and posttest results demonstrated improvements in students’ visual symbolic and verbal representation skills. These outcomes indicate that integrating multiple representation modes into a digital learning tool can effectively support deeper conceptual understanding. The study concludes that the developed worksheet is educationally valid engaging for learners and practical for classroom use. It offers a promising approach to support differentiated instruction in mathematics and enrich students’ learning experiences particularly in mastering abstract probability concepts.
Exploring the impact of self-confidence on students' mathematical representation skills Putra, Fredi Ganda; Monalisa; Widyawati, Santi
Pasundan Journal of Mathematics Education : Jurnal Pendidikan Matematika Vol. 15 No. 1 (2025): Pasundan Journal of Mathematics Education : Jurnal Pendidikan Matematika
Publisher : Program Magister Pendidikan Matematika, Pascasarjana, Universitas Pasundan in collaboration with Asosiasi Guru Matematika Indonesia (AGMI) and Indonesian Mathematics Educators' Society (IMES)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/pjme.v15i1.19643

Abstract

  This study investigates the influence of self-confidence on students' mathematical representation abilities, which are essential for interpreting and communicating mathematical ideas. Employing a comparative correlational design, the research involved eighth-grade students selected through a cluster random sampling method. The data were obtained using a self-confidence questionnaire and a mathematical representation test, both of which were validated for reliability and content relevance. Data analysis was conducted using statistical techniques to examine differences in students' representation skills based on their self-confidence levels. The findings reveal that students with higher self-confidence tend to demonstrate stronger abilities in representing mathematical concepts compared to those with moderate or low self-confidence. These students are more inclined to engage in problem-solving processes, utilize multiple forms of representation, and articulate their reasoning more effectively. The results support the idea that self-confidence plays a critical role in facilitating not only motivation and engagement but also cognitive performance in mathematics. This study underscores the importance of integrating strategies that nurture self-confidence within mathematics instruction. By doing so, educators can enhance students’ abilities to represent, interpret, and apply mathematical knowledge in meaningful ways. Encouraging a positive learning environment that values effort and supports student confidence may significantly contribute to overall mathematical proficiency.
The Implementation of Advance Organizer Model on Mathematical Communication Skills in terms of Learning Motivation Putra, Fredi Ganda; Widyawati, Santi; Asyhari, Ardian; Putra, Rizki Wahyu Yunian
Tadris: Jurnal Keguruan dan Ilmu Tarbiyah Vol 3 No 1 (2018): Tadris: Jurnal Keguruan dan Ilmu Tarbiyah
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/tadris.v3i1.2208

Abstract

Students’ low mathematical communication skill is influenced by several factors such as learning models applied by teachers in the classroom and the students’ learning motivation. Advanced organizer Model is appropriate to improve the students’ low ability. This study aims to determine whether: (1) there is an influence of advance organizer model toward the mathematical communication skill; (2) there is an influence of learning motivation toward the students’ mathematical communication skill, and; (3) there is an interaction between learning model and motivation toward mathematical communication skill. This research employs quasi-experimental design and the statistical analysis used is the two-ways variance with unequal cells. The result of this research shows that: (1) there is an influence of advance organizer model toward mathematical communication skill; (2) there is an influence of learning motivation toward students’ mathematical communication skill, and ; (3) there is no interaction between learning model and motivation toward mathematical communication ability.
Google-Based Learning and Learning Motivation: The Impact and Interaction on Students’ Mathematical Communication Rahmawati, Nurina Kurniasari; Kusuma, Arie Purwa; Widyawati, Santi; Putra, Fredi Ganda
Tadris: Jurnal Keguruan dan Ilmu Tarbiyah Vol 5 No 2 (2020): Tadris: Jurnal Keguruan dan Ilmu Tarbiyah
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/tadris.v5i2.7163

Abstract

Poor mathematical communication skills and motivation are influenced by several factors, such as the use of learning models used by teachers in learning. The use of appropriate learning models can improve students’ mathematical communication skills and motivation. This study aimed to determine the effect of the discussion learning model using Google Classroom and Google Form on students' mathematical communication in terms of students’ learning motivation. This type of research is quasi-experimental. Data were analyzed using two-way analysis of variance with unequal cells. Based on the results, it can be concluded that the discussion learning model using Google Classroom provided better communication skills than the learning model using Google Form, (2) there was no difference in the effect of learning motivation on students' mathematical communication, and (3) there was no interaction between learning model and learning motivation towards students' mathematical communication skills. Further research is needed to develop learning models using Google Classroom and Google Form by taking into account the characteristics of other students that are adjusted to the school curriculum.
Eksperimentasi Model Pembelajaran Student Facilitator and Explaining (SFE) terhadap Hasil Belajar ditinjau dari Kecerdasan Linguistik Widyawati, Santi
Al-Jabar: Jurnal Pendidikan Matematika Vol 7 No 2 (2016): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v7i2.41

Abstract

This study aims to determine: (1) Which gives higher learning outcomes between the Student Facilitator and Explaining (SFE) learning model with the conventional learning model on the subject matter of exponent of class X Semester odds SMA N 1 Seputih Surabaya academic year 2016/2017, (2) Which gives higher learning outcomes between students with high, medium, or low linguistic intelligence on the subject matter of exponents of class X Odd Semester SMA N 1 Seputih Surabaya academic year 2016/2017 (3) Is there an interaction between the Student Facilitator learning model And Explaining (SFE) and linguistic intelligence on students' mathematics learning outcomes of the subject matter of exponents of class X Semester odd in SMA N 1 Seputih Surabaya in academic year 2016/2017. This research is a comparative causal research with factorial design 3 3. The population of this research is all students of class X SMA Negeri 1 Seputih Surabaya, Central Lampung. Sampling was done by cluster random sampling. The sample of this research are students of class X.1 and X.2. The conclusion of this research is: (1) There is no difference of learning result of student mathematics between the SFE model with a conventional model in grade X student SMA N 1 Seputih Surabaya. (2) There is no difference of learning result of student mathematics observed from the linguistic intelligence of class X student SMA N 1 Seputih Surabaya. (3) There is no interaction between SFE learning model and linguistic intelligence of grade X students SMA N 1 Seputih Surabaya.
Pengaruh Gaya Belajar Terhadap Prestasi Belajar Mahasiswa Program Studi Pendidikan Matematika (IAIM NU) Metro Widyawati, Santi
Al-Jabar: Jurnal Pendidikan Matematika Vol 7 No 1 (2016): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v7i1.135

Abstract

Learning style is one of the factors that allegedly affect the learning achievement (GPA) of Mathematics Education Mathematics Program of Maarif Nahdatul Ulama Institute of Islamic Studies. The purpose of this research is to know "whether there is influence of learning style type (Visual, Auditorial, and kinestetik) to student learning achievement of Mathematics Education Program of Maarif Nahdatul Ulama Islamic Institute of Mathematics”. The type of this research is comparative causal research with 3 × 1 research design. The population in this research is all students of semester IV of Mathematics Education program of Maarif Islamic Institute Nahdatul Ulama Metro academic year 2015/2016. The sample in this study was obtained by using class random technique. The sample in this study consists of 22 students with details of 10 students who have visual learning style, 4 students who have auditorial learning style, and 8 students who have kinesthetic learning style. Instruments used to collect data are questionnaire learning style and transcript of student grades semester IV of Mathematics Education Mathematics course Maarif Nahdatul Ulama Institute of Islamic Studies. Hypothesis testing in this study used a one way variance analysis with unequal cells.The result of this research is the influence of learning style to learning achievement (GPA) of Mathematics Education Mathematics Program of Maarif Nahdatul Ulama Institute of Islamic Studies. Furthermore, after further test using Scheefe 'method, it was found that students with visual learning styles had the same learning achievement with students with auditorial learning style, while both types of learning styles had better learning achievement compared with students with kinesthetic learning style.
Concept Understanding and Mathematic Problem Solving Skills in Algebraic Materials: the Effect Of Dragonbox Game Assisted DMR Of Covid-19 Supriadi, Nanang; Ramadona, Kartika; Pratiwi, Dona Dinda; Widyawati, Santi
Al-Jabar: Jurnal Pendidikan Matematika Vol 11 No 1 (2020): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v11i1.8332

Abstract

This article aims to find out how the ability to understand concepts and solve mathematical problems of junior high school students in Bandar Lampung after being treated using Multy Reprecentacy Discourse learning (DMR) assisted by dragonbox games for one semester of learning. Data analysis was based on an assessment of 64 students (experimental class n = 32 and control class n = 32) using the One-way Multivariate Analysis of Variance (MANOVA) analysis technique. The results showed that significantly learning during the Covid-19 pandemic using the DMR model assisted by mathematics games had a better effect on students' understanding of concepts and solving mathematical problems partially or simultaneously.
Mathematical-Analytical Thinking skills: The Impacts and Interactions of Open-ended Learning Method & Self-Awareness (Its Application on Bilingual Test Instruments) Anggoro, Bambang Sri; Puspita, Nurul; Pratiwi, Dona Dinda; Agustina, Safitri; Komala, Ramadhana; Widyastuti, Rany; Widyawati, Santi
Al-Jabar: Jurnal Pendidikan Matematika Vol 12 No 1 (2021): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v12i1.8516

Abstract

Analytical thinking is a skill to unite the initial process, plan solutions, produce solutions, and conclude something to produce conclusions or correct answers. This research aims to 1) determine whether there are differences in students' mathematical, analytical thinking skills between classes that use the Open-ended learning method and classes that use the lecturing method, 2) to find out whether there are mathematical, analytical thinking skills differences between students with high, moderate, and low self-awareness criteria, and 3) to find out whether there is an interaction between Open-ended learning method and self-awareness toward students' mathematical-analytical thinking skills. This research employs a quasi-experimental design. Based on the data and data analysis, this research is mixed-method research, and the design used in this research is the posttest control group design. This research was conducted on students who have studied the Real Analysis Courses. Based on the results of hypothesis testing, it was found out that, first, there are differences in students' mathematical-analytical thinking skills between the class that uses the Open-ended learning method and the class that uses the lecturing method. Second, there are mathematical-analytical thinking skills differences between high, moderate, and low self-awareness criteria. Third, there is no interaction between the Open-ended learning method with self-awareness of students' mathematical-analytical thinking skills.
An analysis of the difficulty of prospective mathematics teachers on algebraic materials Yuwono, Muhammad Ridlo; Widyawati, Santi
Al-Jabar: Jurnal Pendidikan Matematika Vol 13 No 1 (2022): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v13i1.11378

Abstract

Prospective mathematics teachers experience errors in solving straight-line equations, such as using unorthodox methods, answers that conflict with concepts and wrong calculations. This study aimed to analyze the difficulties of prospective mathematics teachers in algebraic material about straight-line equations. This research is descriptive qualitative research with a case study approach. The subjects in this study were students of the 3rd semester of the Mathematics Education Study Program, Widya Dharma University, Klaten, who had taken field analytic geometry courses. The data collection method in this study used the test method and the interview method. This study uses triangulation techniques to obtain valid data. The triangulation technique used is a triangulation method that compares data or information using different methods. The research instrument includes the main instrument, namely the researcher, whose role is to collect research data and auxiliary instruments in tests and interview guidelines. The data obtained from the interviews were analyzed using the analysis model of Miles, Huberman and Saldana, which includes data condensation, data presentation and drawing conclusions. The results of this study are that prospective mathematics teacher have difficulty in: (1) identifying which equations are straight lines and which ones are not, (2) explaining the concept of gradient, (3) proving the statement that two parallel lines have the same gradient, (4) prove the statement that two lines are perpendicular if the two gradients are multiplied the result is -1, (5) prove the formula for the equation of a straight line with a known gradient and a point through which it passes, and (6) prove the equation for a straight line if two are known the point through which. This study concludes that prospective mathematics teachers have difficulty in the material of straight-line equations.
Co-Authors Adrian, Nur Wahyu Agusnaya, Nurrahmah Agustina, Safitri Alam, Abil Antomi Saregar Ardi Dwi Susandi Ardian Asyhari Arditha, Restiya Arie Purwa Kusuma Ayu Febriyanti Bambang Sri Anggoro Bekti, Mutiara Fitria Berlian Eva Yoruna Binti Khoiriyah Bistari Cahniyo Wijaya Kuswanto Chairul Anwar Chairunnisa Zahra Desi Dwi Prasetyawati Dewi Lengkana Dona Dinda Pratiwi Dwi Susanti Dwilita Astuti Dyan Revianto Eka Fitria Ningsih Eko Prasetyo Eria Damayanti Fajri, Cholida Nur Fauziah, Lilin Nailul Ferdian Utama Fitriyana, Rini Fredi Ganda Putra Gatut Iswahyudi Gunawan Gunawan Hamdani, H Iffah Dian Santika Imama, Khoirunnisa Irma Ayuwanti Irma Ayuwanti Iskandar Iskandar Isna Lutfinatun Nabila Iswahyudi, Gatut Junaidi, Gunawan Kartika Ramadona Khoiriyah, Binti Khoirunnisa Imama Kiki Afandi Lengkana, Dewi M. Ridlo Yuwono Ridlo Mai Zuniati Mardiyana Mardiyana Mardiyana, Mardiyana Meita Sari Misbah Misbah Monalisa Mufita, Husni Nanang Supriadi Netriwati Nurhanurawati Nurhanurawati Nurhanurawati Nurhanurawati Nurina Kurniasari Rahmawati Nurul Puspita Nurul Puspita, Nurul Peni Maulita Pixyoriza, Pixyoriza Prestika, Aulfa Reyza Ayuni Rahma Diani Rahma Diani, Rahma Ramadhana Komala Ramadona, Kartika Rany Widyastuti Rany Widyastuti Risma Mona Nugrahani Rizki Wahyu Yunian Putra Rizky Hidayatullah Rofiqul Umam Rosydah, Ummi Ruhban Masykur Safitri Agustina Saipul Abbas Salsabila, Fathma Sari, Wiwin Rita Sari3, Wiwin Rita Setyawati, Astri Shinta Saputri Siti Lestari Siti Qomariyah Siti Qomariyah Siti Qomariyah Sugeng Sutiarso Sugeng Sutiarso Suparman Suparman Suparman Suparman Umar Al Faruq A. Hasyim Ummi Rosyidah Ummi Rosyidah Ummi Rosyidah, Ummi Wahyuniar , Lilia Sinta Wijaya, Tommy Tanu wiwied pratiwi Zahra, Luthvia