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Problem Posing to Develop Students' Mathematical Creativity Hendrajaya, Hendrajaya; Sugiatno, Sugiatno; Suratman, Dede; Rif’at, Mohamad; Putra, Fredi Ganda
IndoMath: Indonesia Mathematics Education Vol 5, No 2 (2022)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/indomath.v5i2.27

Abstract

Student creativity in the process of learning mathematics is very necessary. The low ability to think creatively will greatly affect the overall learning outcomes. One alternative learning that can be used is the problem posing approach. This study aims to determine whether the Problem Posing approach has an effect on students' mathematical creativity. Quantitative research methods with data analysis techniques using the F test are used in this study. The essay test instrument was used to collect data on students' creative thinking abilities. The results showed an increase in students' mathematical creativity after using the Problem Posing approach. The results showed that the effect of the Problem Posing approach on mathematical creativity was 40.49%, this is in the high category. Based on these results, the problem posing approach can be an alternative for teachers in increasing the creativity of students who are still low.
Students’ empirical thinking in solving mathematics problems Rif’at, Mohamad; Rahmawati, Puji; Riyadi, Slamet; Heriyanto, Heriyanto
Jurnal Kajian Pembelajaran Matematika Vol 6, No 1 (2022): JURNAL KAJIAN PEMBELAJARAN MATEMATIKA
Publisher : UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um076v6i12022p1-10

Abstract

The research purpose is to investigate and explore a solution of non-directed of mathematics problems presented visually or algebraic, and to embed the empirical verification thinking. The problems are from Researcher Repertoire, test item of Teacher Profession Education of National Indonesia, and Flanders Mathematics Olympiad. We analyze the students’ empirical verification thinking of their solutions, i.e. the trend of the thinking, model of representation, and completeness of the logical steps. The results are: the pattern of thinking tends to linear model or of meta-pattern, the description tends to be non-linear or varies of the solution, and the logical steps tend to be a non-recognizable form of thinking. Our recommendations are that the more visual representations need multiple representations, the algebraic thinking needs more the visual illustrations, and the visual images needed in solving mathematics problems.
Developing of Doing Proof for School Mathematics through Teaching and Learning Rif’at, Mohamad; Sudiansyah, Sudiansyah; Peterianus, Septian
Al-Jabar: Jurnal Pendidikan Matematika Vol 13 No 2 (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.v13i2.23566

Abstract

The word and the etymological sense are two hints about effective use of language, about exploration techniques, and about developing representation of information. For example, the length and width of a rectangle are not about position, but a measurement or a quantity concept. Based on the example, an area problem which given a picture and the measurements is not mathematics problem. That is a language trajectory of representations or a problem of the etymological sense. When asked to find the perimeter of rectangle, but the two quantities are whole numbers and neither is divisible by 6, then, that is mathematics trajectory. However, if the area known, say 36 squares of a measure unit, then problem of getting the perimeter is to test or to check. That is also a kind of the etymological sense of meaning
Algebraic and Visual Representation in Solving Mathematics Problems Based on Empirical Thinking Rif’at, Mohamad; Sudiansyah, Sudiansyah; Peterianus, Septian
Al-Jabar: Jurnal Pendidikan Matematika Vol 12 No 2 (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.v12i2.23567

Abstract

The researcher investigated and explored a solution of non-directed or no hint of mathematics problems presented visually or algebraic, and to embed the empirical verification thinking. The tip is a way to solve, so the students can answer the questions based on their state of mind by observing their trajectories of thinking from the steps of the solution. That is conducted at the Mathematics Education Department of Tanjungpura University at West Borneo of Indonesia for two semesters. The problems are from Researcher Repertoire, test item of Teacher Profession Education of National Indonesia, and Flanders Mathematics Olympiad. Before the issues given to the students, the construct validity has calculated from intake participants using Cramer’ Test with C coefficient is equal to 0.83. We analyze the students’ empirical verification thinking of their solutions. The analysis is about the trend of the thinking, model of representation, and completeness of the logical steps. The results are: the pattern of thinking tends to linear model or of meta-pattern, the description tends to be non-linear or varies of the solution, and the logical steps tend to be a non-recognizable form of thinking. In general, the more visual representations, the less thinking models of the representations; the answers based on algebraic thinking; the visual illustrations are limited, where the algebraic without any manipulation and not need any hint; and the visual images used are part of it in solving the problems and no manipulation.
Enhancing numeracy literacy through algebra learning materials: A vocational high school context Hapsari, Tiara; Rif’at, Mohamad; Kusumastuti, Nilamsari
Al-Jabar: Jurnal Pendidikan Matematika Vol 16 No 1 (2025): 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.v16i1.27935

Abstract

Purpose: This study aims to develop algebra teaching materials based on numeracy literacy to enhance vocational high school students’ understanding of mathematical concepts and their ability to solve contextual problems.Method: The research used a qualitative research and development approach following the ADDIE model, which includes five stages: analysis, design, development, implementation, and evaluation. Data were collected through interviews, expert validation sheets, questionnaires, and numeracy literacy tests administered to tenth-grade students.Findings: The analysis stage revealed that only 44 percent of students met the minimum standard of numeracy literacy. After the implementation of the developed materials, 71.8 percent of students achieved the Minimum Mastery Criteria (KKM), indicating improved performance. Expert validation yielded a score of 81.67, suggesting high validity. Students also gave positive responses, with average ratings of 80.67 percent for content, design, and language.Significance: The study demonstrates that algebra teaching materials designed through a structured development model and grounded in numeracy literacy can significantly improve student learning outcomes in vocational education. These materials help bridge the gap between theoretical concepts and real-world application, supporting national educational goals related to the Minimum Competency Assessment (AKM) and preparing students for professional environments.
PEMODELAN VEKTOR MULTIDIMENSI UNTUK MENGANALISIS KOMPETENSI METODIK CALON GURU MATEMATIKA Rif’at, Mohamad; Novianti, Metia; Winarji, Agus
PENA KREATIF : JURNAL PENDIDIKAN Vol 15 No 1 (2026): Pena Kreatif : Jurnal Pendidikan
Publisher : FKIP UM Pontianak

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29406/jpk.v15i1.8532

Abstract

This study aims to develop and implement a multidimensional vector modeling approach to comprehensively analyze the methodological competence of prospective mathematics teachers. The analysis focuses on five core dimensions: cognitive, social, operational, research, and methodological. The participants comprised 25 master’s students in Mathematics Education with a minimum of one year of teaching experience. Data were collected through self-perception questionnaires and classroom performance observation sheets, and subsequently represented as five-component vectors. The calculated vector modulus was 3.66, indicating that the overall methodological competence is at a developing level. Findings reveal that the cognitive and operational dimensions dominate competence achievements, whereas the social and research dimensions require further reinforcement. Vector modeling allows for simultaneous representation of inter-component competencies, providing a precise depiction of ability distribution and inter-dimensional variation. These results offer an empirical basis for teacher education institutions to design adaptive professional development programs and extend the literature on multidimensional teacher competence assessment in mathematics education. Thus, this approach not only enhances conceptual understanding of the structure of methodological competence but also provides an objective and strategic diagnostic tool for targeted teacher training interventions.