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All Journal Journal on Mathematics Education (JME) Jurnal Elemen Mathematics Education Journal Journal on Mathematics Education
Maarten Dolk, Maarten
Utrecht University
Education Mathematics Social Sciences Other

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PROFESSIONAL DEVELOPMENT OF PMRI TEACHERS FOR INTRODUCING SOCIAL NORMS Putri, Ratu Ilma Indra; Dolk, Maarten; Zulkardi, Zulkardi
Journal on Mathematics Education Vol 6, No 1 (2015)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (85.899 KB) | DOI: 10.22342/jme.6.1.1900.11-19

Abstract

This paper reports implementation results of designing a workshop for mathematics teacher in introducing classroom social norms. The participants are eight mathematics teachers in primary and junior secondary level. Teachers learned and did some activities about social norms during the workshop. First, they watched an example of learning videos about social norms. Then they discussed and shared in the group about their experiences in using social norms in the classroom. Finally, they made a commitment to try their knowledge about social norms in their classroom. This research used the design research method. Data were collected using videotaped, interview, and focus group discussion and were analyzed qualitatively. Results show that: (1) Teachers satisfied in following all activities relating to the social norms in the workshop. (2) Teachers realized that they had used some activities of social norms such as guiding students to communicate, asking questions and giving argumentation. (3) Teachers have more confidence to use social norms in their mathematics classroom.Keywords: Classroom Social Norms, Teacher’s Workshop, Design Research, PMRI DOI: dx.doi.org/10.22342/jme.61.11
Investigating fraction computation problem-solving among pre-service primary school teachers Pramudiani, Puri; Alyani, Fitri; Dolk, Maarten; Widjaja, Wanty
Jurnal Elemen Vol 10 No 3 (2024): September
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v10i3.27462

Abstract

The ability to solve problems involving fractions is a fundamental aspect of mathematics education. This study explores how Pre-Service Primary School Teachers approach problem-solving in fractional computations. A workbook is designed to support pre-service primary school teachers ' computational thinking in fraction-context challenges. The study employs a qualitative descriptive method encompassing interviews, study documentation, and observation to assess fraction computation problem-solving abilities. Twenty-seven participants were involved in this study. They were first-year students enrolled in the Primary School Teacher Education Department at one of the private universities in Jakarta, Indonesia. The findings reveal a notable outcome in pre-service primary school teachers ' understanding of fraction computation problem-solving, marked by recognizable strategies in their problem-solving approach. This research suggests that designing a series of workbooks containing various strategies in computational fractions and building a strong fractional number sense can help pre-service teachers reduce misconceptions and better understand fraction operations. These findings offer guidance for mathematics teacher education on how to effectively teach and embed the concept of fraction calculations to their future students so that they can only teach procedurally if they understand the meaning of fraction operations.
How does a missing part become important for primary school students in understanding fractions? Pramudiani, Puri; Herman, Tatang; Turmudi; Dolk, Maarten; Doorman, Michiel
Journal on Mathematics Education Vol. 13 No. 4 (2022): 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.v13i4.pp565-586

Abstract

Understanding of fractions is difficult for Indonesian students. This often leads to misinterpretation in solving fractional problems. In this study, a task aiming at identifying students’ struggles in understanding the basic concept of part-whole relationships in fractions was developed and tested with six 4th-grade students. The task uses Indonesian sweet food, martabak, that has a rounded pizza-like shape as a context in which one slice was missing. Realistic Mathematics Education underlies the context designed, that was also inspired by the Dutch textbook Alles telt Q Basiswerkschrift. The study used a qualitative methodology through an interview, observation, and written test. The result of this study indicated that the students’ struggles can be identified as follows: making references to the whole, making references to the complete partition, and making sense of the incomplete partition. The study showed that the designed tasks have potentials to provoke students' reasoning in learning fractions. The findings indicate that when students learn fractions, their understanding of the meaning of fractions should be well addressed with problems that challenge this part-whole relationship. Challenging this relationship can be supported with problems that have some ambiguity about what is the ‘whole’ using the missing part context.
Transformation geometry in eleventh grade using digital manipulative batik activities Sahara, Sani; Dolk, Maarten; Hendriyanto, Agus; Kusmayadi, Tri Atmojo; Fitriana, Laila
Journal on Mathematics Education Vol. 15 No. 1 (2024): 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.v15i1.pp55-78

Abstract

Learning Transformation Geometry (TG) needs a more informal approach to concern situational problems. This study aims to develop actionable knowledge of TG in the form of design related to context and yet general enough to use digital manipulative activities in new situations. We propose such knowledge in the form of conjectured Local Instructional Theory (LIT) in the framework of design research methodological framework. The designed learning activities were based on Realistic Mathematics Education (RME) principles and used batik as the context and van Hiele’s mode of geometric thought. In addition, the CorelDraw software is used as a tool to transform batik-making activities into a digital manipulative environment. The design consists of a pre-assessment and four learning activities. The data were analyzed retrospectively in accordance with the HLT. The analysis of the data described above and the justification of the processes during the teaching experiment indicate a compelling trajectory for students learning transformation geometry for this specific context and the prospect for future studies.
Constructing slope conceptualizations: Physical, geometrical, and algebraic Utami, Aprilia Nur; Nurhasanah, Farida; Triyanto; Dolk, Maarten
Journal on Mathematics Education Vol. 15 No. 4 (2024): 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.v15i4.pp1433-1452

Abstract

The concept of slope constitutes a fundamental component of the discourse surrounding linear equations. A subset of students frequently interprets slope merely as an algebraic ratio. This particular context fosters a superficial understanding of slope, as these students typically resort to mechanical memorization of the slope formula. The intent of this research endeavor is to enhance a holistic understanding of the slope concept: physically, geometrically, algebraically; through the deployment of realistic teaching activities. Two students are participants in this research endeavor. The research group initiated a series of questions aimed at assessing their comprehension by delivering a total of six activities, which were systematically designed using the emergent modeling framework central to the educational design principles of Realistic Mathematics Education (RME). These activities are structured to facilitate the students' understanding of the fundamental concept of slope, transitioning from physical properties, through geometric ratios, to algebraic ratios. Subsequent to the investigations and the interviews conducted, the researchers deduce that the utilization of realistic activities significantly enhances students' comprehension of the foundational concept of slope: physical, geometric, algebraic.
What Do Indonesian and Dutch Teachers Find Challenging When Implementing Realistic Mathematics Education? Pramudiani, Puri; Herman, Tatang; Turmudi; Dolk, Maarten; Terlouw, Belinda
Mathematics Education Journal Vol. 17 No. 1 (2023): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

At the end of the sixties of last century, the development of Realistic Mathematics Education (RME) started in the Netherlands. At the beginning of this century, the Indonesian adaptation of RME, Pendidikan Matematika Realistik Indonesia (PMRI), started. The implementation of RME / PMRI has proven to be challenging. In this research, a qualitative case study was used to investigate teachers’ perceptions and experiences in implementing RME/PMRI in their classes. Semi-structured interviews were conducted with several Dutch and Indonesian teachers who have joined the RME/PMRI training. We found similarities and differences between the two groups of teachers. Both groups of teachers understand the use of context as a starting point for students to construct mathematical understanding. The Dutch teachers considered the construction of interesting mathematical problems and the use of the guided-reinvention principle as the difficulties but motivated them to do more practice. Indonesian teachers mentioned that for them, the integration of mathematics with other subject areas for integrated thematic learning in the 2013 curriculum was their constraint but it was also a challenge for them to be more creative. These perspectives can become a reference for the development of a localized implementation of learning trajectory in classroom practices. DOI: https://doi.org/10.22342/jpm.17.1.20097.103-120
Co-Authors Farida Nurhasanah Fitri Alyani Fitriana, Laila Hendriyanto, Agus MICHIEL DOORMAN, MICHIEL Puri Pramudiani Ratu Ilma Indra Putri Sahara, Sani Tatang Herman, Tatang Terlouw, Belinda Tri Atmojo Kusmayadi Triyanto Turmudi Utami, Aprilia Nur Wanty Widjaja Zulkardi Zulkardi