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Pierre Kieren's theory: the folding back process in mathematical problem solving Utami, Rini; Setiyani, Setiyani; Sundawan, Mohammad Dadan; Sumarwati, Sri; Ferdianto, Ferry
Journal of Education and Learning (EduLearn) Vol 19, No 3: August 2025
Publisher : Intelektual Pustaka Media Utama

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/edulearn.v19i3.21708

Abstract

The learning of mathematics generally undergoes a less effective and less appealing learning process, resulting in students’ perceived lack of mastery of the material. Consequently, students’ insufficient understanding of the concepts leads to a lack of folding back. In the process of understanding, it influences individual characteristics, where two characteristics are cognitive styles: field-dependent and field-independent. The researcher aims to understand how the folding back process occurs in students with field-dependent and field-independent cognitive styles when solving story problems. This research is a descriptive qualitative study, with 2 students selected from a total of 28 students in class VII-A as subjects. The selected subjects have high mathematical abilities and are classified into the categories of field-dependent and field-independent cognitive styles. Data collection involves comprehension tests, group embedded figure test (GEFT), and interviews. Data analysis consists of stages such as data reduction, data presentation, and verification. Each subject is interviewed to verify their process of solving the given problems. The results of the research conclude that students with the field-independent cognitive style category have a better understanding of the material, concepts, and problem-solving compared to students in the field-dependent category.
Development of Culturally Responsive Teaching Approach Teaching Module Based on Ethnomathematics of The Kasepuhan Cirebon Palace Karimah, Nurul Ikhsan; Erawati, Turini; Setiyani, Setiyani; Nasir, Fuad; Sundawan, Moh. Dadan; Setiawan, Arief Maulana; Sumarwati, Sri
International Journal of Educational Research Excellence (IJERE) Vol. 4 No. 2 (2025): July-December
Publisher : PT Inovasi Pratama Internasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55299/ijere.v4i2.1391

Abstract

Teaching modules are one of the important aspects for teachers to design learning that supports students in achieving learning outcomes and learning objectives based on student characteristics. Mathematics learning is one of the most important subjects in elementary school education. Learning carried out by teachers is currently still monotonous by relying on textbooks and LKS, so that students do not know the relevance of learning, especially the culture of the Kasepuhan Palace. The type of research model used in this research method is using the ADDIE development model (Analysis, Design, Development, Implement, and Evaluate). The research was conducted at SDN Kesenden in the 2024/2025 academic year with research subjects of 21 grade IV students on the material of flat shape decomposition. Data collection techniques in the research on the development of teaching modules with the Culturally Responsive Teaching (CRT) approach. Data collection techniques in the research on the development of teaching modules with the Culturally Responsive Teaching (CRT) approach, researchers used Observation, Questionnaires, and Tests based on the ethnomathematics of the Kasepuhan Palace. The results of the validation of the teaching module showed very satisfactory results with a percentage of 90%, so this module was considered very valid. The results of the practicality test involving student responses produced a percentage of 88%, which was categorized as very practical. The effectiveness test of the module based on the learning completion of 21 students reached a percentage of 64.38%, which met the effective criteria. These findings indicate that the developed teaching module is able to support learning in a valid, very practical, and effective manner.
Mathematical Thinking Processes of Junior High School Students in Solving Contextual Problems Based on Learning Styles Setiyani, Setiyani; Bakar, Marwia Tamrin; Karimah, Nurul Ikhsan; Sumarwati, Sri
Mosharafa: Jurnal Pendidikan Matematika Vol. 15 No. 1 (2026): January
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v15i1.3626

Abstract

Masalah kontekstual menuntut proses berpikir matematis yang runtut, logis, dan reflektif. Penelitian ini bertujuan menganalisis proses berpikir matematis siswa dalam menyelesaikan masalah kontekstual berdasarkan kerangka Mason (tahap entry, attack, dan review) ditinjau dari gaya belajar. Menggunakan pendekatan kualitatif deskriptif, penelitian ini melibatkan siswa kelas VII SMP Negeri di Kota Cirebon. Tiga subjek dipilih secara purposif untuk mewakili gaya belajar visual, auditori, dan kinestetik. Data dikumpulkan melalui tes, angket gaya belajar, dan wawancara mendalam. Hasil menunjukkan perbedaan karakteristik berpikir: siswa visual memenuhi seluruh indikator pada semua tahapan; siswa auditori mampu pada tahap entry dan attack namun terbatas dalam mengembangkan solusi pada tahap review; sedangkan siswa kinestetik hanya memenuhi sebagian indikator dan kesulitan dalam justifikasi serta refleksi. Temuan ini menegaskan pengaruh gaya belajar terhadap kualitas proses berpikir matematis. Implikasinya, pembelajaran matematika perlu dirancang secara adaptif untuk memperkuat penalaran dan refleksi siswa sesuai karakteristik belajarnya. Contextual problems in mathematics require a mathematical thinking process that is coherent, logical, and reflective. This study aims to analyze students' mathematical thinking processes in solving contextual problems based on Mason’s framework—comprising the entry, attack, and review phases—viewed through learning styles. Utilizing a descriptive qualitative approach, the study involved seventh-grade students at a state junior high school in Cirebon. Three subjects were purposively selected to represent visual, auditory, and kinesthetic learning styles. Data were gathered through mathematical thinking tests, learning style questionnaires, and in-depth interviews. The results reveal distinct characteristics: visual learners met all indicators across all phases; auditory learners succeeded in the entry and attack phases but struggled with developing alternative solutions during the review phase; while kinesthetic learners only met partial indicators and faced difficulties in providing justification and reflection. These findings underscore the influence of learning styles on the quality of mathematical thinking. Consequently, mathematics instruction should be adaptively designed to strengthen student reasoning and reflection according to their learning characteristics.
Mathematical thinking processes based on decision-making types in Grade VIII numeracy: Foundations for differentiated instruction in Geometry Rosita, Cita Dwi; Setiyani; Asmara, Andes Safarandes; Sumarwati, Sri; Suprayo, Try
Journal on Mathematics Education Vol. 17 No. 1 (2026): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v17i1.pp1-26

Abstract

Mathematical thinking ability in solving numeracy problems is a crucial 21st-century competency that students must possess to support critical, analytical, and problem-solving skills. However, in practice, students demonstrate diverse ways of making decisions when confronted with numeracy problems, leading to variations in mathematical thinking processes and often resulting in disparities in learning outcomes. This study aims to analyze students’ mathematical thinking processes based on decision-making types: namely intuitive, empirical, heuristic, and rational and to design differentiated instruction aligned with the characteristics of each type. A qualitative approach was employed, with data collected through numeracy tests and observations. The findings reveal that intuitive students tend to rely on visualization and prior experiences without formal proof; empirical students emphasize concrete measurement and validation through discussion; heuristic students demonstrate flexibility in exploring solution strategies and evaluating alternatives, while rational students think systematically in a deductive and argumentative manner. Based on these findings, differentiated instruction was designed in terms of content, process, and product, allowing teachers to adapt materials, strategies, and forms of assessment to students’ decision-making types. The study concludes that differentiated instruction that takes decision-making types into account has the potential to optimize students’ mathematical thinking processes and enhance numeracy competence in the domain of geometry.