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How Self-Efficacy Shapes Mathematical Analytical Thinking: A Qualitative Study using Action-Process-Object-Schema Theory Gunawan, Gunawan; Ferdianto, Ferry; Untarti, Reni; Akhsani, Lukmanul
Jurnal Pendidikan MIPA Vol 26, No 1 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i1.pp754-778

Abstract

Analytical thinking enables students to solve complex problems in a systematic and measurable manner. This study examined students' analytical thinking processes in relation to self-efficacy using the Action-Process-Object-Schema (APOS) theory. The researchers employed a qualitative method with an explanatory approach. They selected mathematics education students from Universitas Muhammadiyah Purwokerto who were enrolled in a sequence convergence course as research subjects. To collect data, the researchers used analytical thinking tests, questionnaires, and interviews. Based on the self-efficacy questionnaire, the researchers classified students into high, medium, and low self-efficacy groups. They selected one informant from each category using purposive sampling. The data analysis involved three stages: data reduction, presentation of findings, and interpretation. The analytical thinking process included collecting, differentiating, organizing, and attributing. The findings showed that students in the high and medium self-efficacy groups demonstrated strong analytical thinking skills. They successfully completed all stages—collecting, differentiating, organizing, and attributing. In contrast, students with low self-efficacy lacked adequate prior knowledge and required assistance in applying mathematical concepts and completing proofs during the organizing stage. These students gathered only limited information at the collection stage due to a poor understanding of the main problem. As a result, they could only partially complete each stage of the analytical thinking process.      Keywords: analytic thinking process, APOS theory, self-efficacy.
Development of Statistical Literacy-based Mathematics Module for Junior High School Students in the Context of MSMEs’ Empowerment Subekti, Fitrianto Eko; Gunawan, Gunawan; Ong, Eng Tek; Akhsani, Lukmanul; Zuhrotunnisa, Zuhrotunnisa
Jurnal Pendidikan MIPA Vol 26, No 3 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i3.pp1342-1354

Abstract

Statistical Literacy is needed by students in understanding information and presenting data in various forms of representation. This study aims to develop a mathematics module based on statistical literacy for junior high school students in the context of empowering Micro, Small, and Medium Enterprises (MSMEs) that is valid, practical, and effective. The research method uses a development research design with ASSURE stages. Twenty students of class VIII A were used as research samples, considering the ease and accessibility in conducting the research. Validity data were obtained through a validation questionnaire assessed by competent experts in their fields. Practicality data were obtained through a student response questionnaire. Effectiveness data were obtained based on the results of the statistical literacy pre-test and post-test. While observation data were used as supporting data to describe the module trial activities in learning. Quantitative data analysis used average values to analyze the results of the validation questionnaire and student responses, as well as the Wilcoxon test to determine the effectiveness of the developed module in learning. The validation results show that the developed module meets the validity criteria and receives positive responses from students and teachers. In addition, the Wilcoxon test results indicate the influence of module use in learning, that supported by the N-Gain test results of 0.59, indicating that the developed learning module is quite effective in improving students' statistical literacy. Although the development results are quite effective, students need to be accustomed to dealing with problems that contain the surrounding context, increase assignments, and integrate strategies, media, and learning models that focus on developing statistical literacy. Thus, the developed module has met the criteria of validity, practicality, and effectiveness. However, the results of the statistical literacy test evaluation indicate limitations in students' abilities to interpret and draw conclusions. This research provides an important contribution in developing relevant, innovative teaching materials, while highlighting crucial aspects for future learning, especially focusing on statistical literacy and contextual-based learning.    Keywords: statistical literacy, MSMEs empowerment, statistical module.
Exploring insights in the creative thinking process of prospective mathematics teacher students Akhsani, Lukmanul; Kartono; Junaedi, Iwan; Asih, Tri Sri Noor
Al-Jabar: Jurnal Pendidikan Matematika Vol 16 No 2 (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.v16i2.28396

Abstract

Purpose: This study aims to examine the effects of differentiated instruction on primary students’ mathematics achievement in the Indonesian context by comparing learning outcomes between classes taught with differentiated instruction and those taught with conventional methods.Method: This quantitative study employed a quasi-experimental, non-equivalent control group design with two intact grade 4 classes from a primary school in Indonesia. The experimental class received differentiated instruction based on students’ readiness, interests, and learning profiles, while the control class received conventional teaching. Data were collected using a validated mathematics achievement test with acceptable reliability. Assumptions were checked, and independent-samples t tests compared posttest achievement between groups.Findings: Students taught with differentiated instruction obtained significantly higher posttest scores than those in the control class, indicating a positive effect on mathematics achievement.Significance: The study provides empirical evidence that differentiated instruction can improve primary mathematics achievement in Indonesian classrooms. The findings offer practical guidance for teachers and inform school leaders and policymakers seeking strategies to enhance learning outcomes
Student Profile of Mathematical Communication Process of Prospective Mathematics Teachers Reviewed from Self-Confidence Gunawan, Gunawan; Ferdianto, Ferry; Untarti, Reni; Akhsani, Lukmanul
Mosharafa: Jurnal Pendidikan Matematika Vol. 13 No. 4 (2024): October
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v13i4.1958

Abstract

Abstrak Kepercayaan diri merupakan salah satu aspek afektif yang penting dalam meningkatkan komunikasi matematis. Penelitian ini bertujuan untuk menganalisis proses komunikasi matematis calon guru matematika dalam memecahkan masalah berdasarkan kepercayaan diri. Metode yang digunakan adalah kualitatif. Subyek penelitian adalah mahasiswa Pendidikan Matematika, Universitas Muhammadiyah Purwokerto. Instrumen penelitian terdiri dari angket, tes, dan wawancara. Hasil angket kepercayaan diri dikategorikan dalam tinggi, sedang, dan rendah. Setiap kategori mengambil satu orang sebagai responden. Analisis data menggunakan tahap reduksi, penyajian, dan kesimpulan. Hasil penelitian menunjukkan siswa kategori kepercayaan diri tinggi dan sedang memiliki karakteristik proses komunikasi yang baik. Siswa menggunakan simbol dengan tepat untuk menjelaskan informasi dan masalah yang diketahui serta menuliskan jawaban secara terperinci. Siswa kategori kepercayaan diri rendah membutuhkan bantuan untuk menerjemahkan informasi dan simbol matematika. Hal ini mengakibatkan kesulitan dalam menyelesaiakan masalah dengan tepat. Kondisi ini menunjukkan bahwa tahap identifikasi informasi dan representasi masalah sebagai kunci awal proses komunikasi matematika. Abstract Self-confidence is one of the important affective aspects in improving mathematical communication. This study aims to analyze the mathematical communication process of prospective mathematics teachers in solving problems based on confidence. The method used is qualitative. The subject of the study is a student of Mathematics Education, Universitas Muhammadiyah Purwokerto. The research instrument consisted of questionnaires, tests, and interviews. The results of the confidence questionnaire are categorized into high, medium, and low. Each category takes one person as a respondent. Data analysis uses reduction, presentation, and conclusion stages. The results showed that students in the high and medium confidence categories had the characteristics of a good communication process. Students use symbols appropriately to explain known information and problems and write down answers in detail. Students in the low confidence category need help translating mathematical information and symbols. This results in difficulties in solving problems appropriately. This condition shows that the stage of information identification and problem representation is the initial key to the mathematical communication process.
Pelatihan Software Geogebra dalam Meningkatkan Motivasi Belajar dan Pemahaman pada Materi Segiempat di SMP Muhammadiyah 1 Purwokerto Muhammad, Malim; Akhsani, Lukmanul
Prosiding University Research Colloquium Proceeding of The 8th University Research Colloquium 2018: Bidang Pendidikan, Humaniora dan Agama
Publisher : Konsorsium Lembaga Penelitian dan Pengabdian kepada Masyarakat Perguruan Tinggi Muhammadiyah 'Aisyiyah (PTMA) Koordinator Wilayah Jawa Tengah - DIY

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Abstract

Kegiatan ini bertujuan untuk memberikan pelatihan kepada Siswa kelas 8G ICT SMP Muhammadiyah 1 Purwokerto untuk mengatasi daya tangkap keterampilan spasial dan meningkatkan kemampuan teknologi informasi dan komunikasi khusunya software matematika, dalam hal ini penggunaan software GEOGEBRA sebagai media pembelajaran geometri bangun ruang sisi datar segiempat. Bagi sekolah, Memiliki guru-guru yang tidak hanya memiliki kemampuan dalam teoritis tapi memiliki kemampuan praktis di bidang teknologi komputer yang berkualitas dalam upaya peningkatan kualitas proses pembelajaran. Bagi guru-guru SMP Muhammadiyah 1 Purwokerto sebagai sumbangan pemikiran dan pelatihan peningkatan kemampuan praktis penggunaan software GEOGEBRA sebagai media pembelajaran dalam upaya peningkatan kualitas proses pembelajaran, sehingga dapat meningkatkan kemampuan pemahaman konsep siswa menjadi lebih baik. Bagi siswa SMP Muhammadiyah 1 Purwokerto, khususnya siswa kelas 8G ICT, meningkatkan kemampuan teknologi informasi dan komunikasi khusunya software matematika, dalam hal ini penggunaan software GEOGEBRA sebagai media pembelajaran dalam menyelesaikan materi geometri bangun ruang sisi datar khususnya segiempat.
Computational Thinking Process of Prospective Mathematics Teachers in Solving PISA Model Problems Gunawan, Gunawan; Setiyani, Setiyani; Widiyastuti, Erni; Akhsani, Lukmanul; Herdian, Herdian
Jurnal Pendidikan MIPA Vol 25, No 2 (2024): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

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Abstract

The research outlines the computational thinking process that prospective mathematics teachers use to solve PISA model problems. The Department of Mathematics Education conducted the research on 32 students in the Basic Mathematics course. This qualitative approach research used research instrument such as a computational thinking skill test and interview guidelines. The researchers grouped students into low, medium, and high ability categories based on previous tests. The researchers took as many informants as possible from each category using purposive sampling techniques. The applied technical data analysis included data reduction, presentation, and conclusions. The computational thinking process consisted of orientation, abstraction, decomposition, algorithms, and evaluation. The study provided several results, including high- and medium-category students being able to write information at the orientation and algorithm stages. The difference between the computational thinking processes of low- and medium-category students lies in the orientation stage and algorithms. Low-category students had to be more detailed in recording every step of the problem-solving process, as they could not write down all the primary information and problems. Those three lied in the orientation stage, the process of identifying information, and the key problems at the orientation stage as an early and important aspect of the computational thinking process. This research facilitates teachers improve students' computational thinking in solving high-level problems.         Keywords: computational thinking process, PISA model problems, problem-solving DOI: http://dx.doi.org/10.23960/jpmipa/v25i2.pp961-971