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Journal : Journal on Mathematics Education (JME)

Supporting Fifth Graders in Learning Multiplication of Fraction with Whole Number Khairunnisak, Cut; Amin, Siti Maghfirotun; Juniati, Dwi; Haan, Dede de
Journal on Mathematics Education Vol 3, No 1 (2012)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.3.1.615.71-86

Abstract

The meaning of fractions with integer multiplication is something that is difficult to  understand by students. They tend to think that the product it produces a larger number, while the multiplication of fractions with integers, the result can be any number larger or smaller. This study is a research design that aims to develop a local instructional theory to support the students expand their understanding of the meaning of multiplication of fractions with integers. By applying the characteristics of realistic mathematics education (Realistic Mathematics Education), the researchers designed a  series of instructional activities related to daily life, such as Indonesia prepares dishes and equitable distribution. Participants of this study were Grade 5 students from an elementary school in Surabaya, along with a mathematics teacher of that class.  Some students of the class participated in the first cycle, in order to see how the design of the hypothetical learning trajectory (Hypothetical Learning Trajectory) is running. After going through several revisions, HLT is then implemented in all the other students in grade 5. The results showed that students' prior knowledge affect their learning process. The fractions solve multiplication problems with whole numbers, some students convert the integers to fractions and then use a fraction by a fraction multiplication procedure. The learning process begins with students exploring the contextual situation of fair division, where students extend their understanding that the fraction associated with the division and multiplication. One indicator that the student has broadened his understanding is the more varied representation of the given problem. Keywords: multiplication of fraction with whole number, RME, daily life situations, extend the understanding, initial knowledge, design research DOI: http://dx.doi.org/10.22342/jme.3.1.615.71-86
Learning The Concept of Area and Perimeter by Exploring Their Relation Winarti, Destina Wahyu; Amin, Siti Maghfirotun; Lukito, Agung; Gallen, Frans Van
Journal on Mathematics Education Vol 3, No 1 (2012)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.3.1.616.41-54

Abstract

Learning the concept of perimeter and area is not easy for students in grade 3 of primary school. A common mistake is that students think that if the area is the same, the perimeter also has to be the same. It is difficult for them to understand that for a  given area, there are many possibilities of perimeter and vice versa. When student are not aware of this relation they might confuse about the concept in their continuation of learning process. This research was conducted to study if it would support students’ understanding of the concept of perimeter and area if we let them explore the relation between perimeter and area in the very first phase of the learning process. Design research was chosen as the method to study this issue and the three basic principles in The Realistic Mathematics approach were applied in this study to support the learning process of perimeter and area. Real life context such as picture frames was choosen in developing a sequence of learning line to reach the learning goal of perimeter and area. The partipants of this research were students and mathematics teacher of grade 3 in one of the elementary school in Surabaya. Two classes were taken to involve in the first cycle and second cycle respectively.  The teaching experiment shows that the class activities such as making photo frame, measuring photo paper with sticky paper and arranging shapes with wooden matches are activities which can be used to reveal the relation of perimeter and area. From those activities students build their own understanding that in fact area and perimeter are not in one to one correspondence, they found that for the given area they might find different perimeter or vice versa. They also found the reason why they multiply length and width to count the area of rectangular or square shape from sticky paper activity. Somehow some students were found still struggle with their understanding of area and perimeter. They often simply count the area and perimeter but when it comes into comparing the area or perimeter  they still struggle to differentiate between area and perimeter. Keywords: Perimeter, Area, Relation between perimeter and area, Understanding DOI: http://dx.doi.org/10.22342/jme.3.1.616.41-54
Eliciting Mathematical Thinking of Students through Realistic Mathematics Eucation Anwar, Lathiful; Budayasa, I Ketut; Amin, Siti Maghfirotun; Haan, Dede de
Journal on Mathematics Education Vol 3, No 1 (2012)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.3.1.620.55-70

Abstract

This paper focuses on an implementation a sequence of instructional activities about addition of fractions  that has been developed and implemented in grade four of primary school in Surabaya, Indonesia. The theory of Realistic Mathematics Education (RME) has been applied in  the  sequence, which aims to assist low attaining learners in supporting students’ thinking in the addition of fractions. Based on the premise that eliciting and addressing learners’ alternative conceptions in mathematics is beneficial in  assisting them to improve their understanding, the paper seeks to explore the role that RME plays pertaining to this particular supposition. The paper presents and discusses examples of learners’ responses to contextual problems given to them during the course of the instructional activities. Keywords: Realistic Mathematics Education, mathematical thinking, a sequence of instructional activities DOI: http://dx.doi.org/10.22342/jme.3.1.620.55-70
STUDENTS’ COGNITIVE PROCESSES IN SOLVING PROBLEM RELATED TO THE CONCEPT OF AREA CONSERVATION Ekawati, Rooselyna; Kohar, Ahmad Wachidul; Imah, Elly Matul; Amin, Siti Maghfirotun; Fiangga, Shofan
Journal on Mathematics Education Vol 10, No 1 (2019)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (998.766 KB) | DOI: 10.22342/jme.10.1.6339.21-36

Abstract

This study aimed to determine the cognitive process employed in problem-solving related to the concept of area conservation for seventh graders. Two students with different mathematical ability were chosen to be the subjects of this research. Each of them was the representative of high achievers and low achievers based on a set of area conservation test. Results indicate that both samples performed more cyclic processes on formulating solution planning, regulating solution part and detecting and correcting error during the problem-solving. However, it was found that the high achiever student performed some processes than those of low achiever. Also, while the high achiever student did not predict any outcomes of his formulated strategies, the low achiever did not carry out the thought process after detecting errors of the initial solution gained. About the concept of area conservation, the finding also reveals that within the samples’ cognitive processes, the use of area formula come first before students decided to look for another strategy such as doing ‘cut-rotate-paste’ for the curved planes, which do not have any direct formula. The possible causes of the results were discussed to derive some recommendation for future studies.
STUDENTS’ GROWING UNDERSTANDING IN SOLVING MATHEMATICS PROBLEMS BASED ON GENDER: ELABORATING FOLDING BACK Patmaniar, Patmaniar; Amin, Siti Maghfirotun; Sulaiman, Raden
Journal on Mathematics Education Vol 12, No 3 (2021)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.12.3.14267.507-530

Abstract

Students’ previous knowledge at a superficial level is reviewed when they solve mathematical problems. This action is imperative to strengthen their knowledge and provide the right information needed to solve the problems. Furthermore, Pirie and Kieren's theory stated that the act of returning to a previous level of understanding is called folding back. Therefore, this descriptive-explorative study examines high school students' levels of knowledge in solving mathematics problems using the folding back method. The sample consists of 33 students classified into male and female groups, each interviewed to determine the results of solving arithmetic problems based on gender. The results showed differences in the level of students' understanding in solving problems. Male students carried out the folding back process at the level of image having, formalizing, and structuring. Their female counterparts conducted it at image-making, property noticing, formalizing, and observing. Subsequently, both participants were able to carry out understanding activities, including explaining information from a mathematical problem, defining the concept, having an overview of a particular topic, identifying similarities and differences, abstracting mathematical concepts, and understanding its ideas in accordance with a given problem. This study suggested that Pirie and Kieren's theory can help teachers detect the features of students’ understanding in solving mathematical problems.
Co-Authors 'Aini, Siti Azzah Nur Abadi Abadi Abd. Kadir Jaelani Abdul Talib Bin Bon Achmad Nizar Afib Rulyansah Agung Lukito Agung Lukito AGUNG LUKITO Agung Lukito Agus nur fuad Ahmad Wachidul Kohar Alfath Famela Rokhim Aliya, Nafisatul Amaliya Sidikiyah Aminuyati Anggraeni, Astutik Anggraini, Astutik Anisah APRI PUSPITASARI, RICKE Asmawarni Astutik Anggraini Candra Mahardika CAROLINA SAVITRI, INTAN Chusnal Ainy Cut Khairunnisak Darin Fouryza Dede de Haan Destina Wahyu Winarti DIAN WIDIASTUTI, ATIK Djazilan, Sukron Dwi Juniati Eka Darmadi, Aditya Elfrida Ratnawati Elly Matul Imah Endah Budi Rahaju Evangelista Lus Windyana Palupi Evy Novia Nanda Artama Fadhilah Lailatul Maghfiroh faot, maria margaretha Fathoni Fathoni FAUZUL ADHIM, BIMA Febriana Kristanti Fiangga, Shofan Fifi Khoirul Fitriyah Fitriani Rafikasari Frans Van Gallen fuad, Agus nur Gaenti Debiramasari Hadi Prawiro Handayani, Sri Hasanah, Munawaratul Herfa Maulina Dewi Soewardini Hery Setiawan I Ketut Budayasa Idayati, Nurul Indrati, Joeli Itsna Syahadatud Dinuriyah KAMILINA, ILMA Kamirsyah Wahyu Kamirsyah Wahyu, Kamirsyah Kasiyun, Suharmono Khumairoh, Binta Lailah, Zianatul Lathiful Anwar Lestari, Novita Dian Dwi Lestariningsih Lestariningsih Maghfiroh, Fadhilah Lailatul Malikatun Ngilman Nafiah Mariana, Risa Moch Lutfianto Muawanah Muawanah mufarrohah, sofiyatul MULYANI BM, SRI MUSLIMIN IBRAHIM Mustaji Mustaji Mustaji Mustaji, Mustaji Mustika Kurniasari Mustofa Mustofa Nafi'ah, Nafi'ah Nafiah Nafiah Nafiah Nafiah Nafiah, Nafiah Nafi’ah, Umi Neni Mariana Niken Wahyu Utami NILA DWI SUSANTI Nila lailatul Khoiro Noor Iffa, Siti Novita Dian Dwi Lestari Nur Indah Sylvia Nur Yum Saidah Nurhayati Nurhayati Nurvaida, Devi Patmaniar Patmaniar, Patmaniar Pawestri, Dwi Almy Pradnyo Wijayanti Prastiwi, Hangrainy Prawiro, Hadi Prihastuti, Haning Rachmaniah Mirza Hariastuti Raden Sulaiman RADEN SULAIMAN Rafikasari, Fitriani Rahmawati, Dwi Putri RENI PUJI ASTUTI, EKA Robiatul Adawiyah Robiatul Adawiyah Rofiatul Jannah ROHIM, NURUR Rooselyna Ekawati ROSSY KIRANA PRASTITI, ANDIKA Saidah, Nur Yum Saputri, Adinda Rizky Eka Septi Triyani Shoffan Shoffa Siti Khabibah Siti Khabibah Siti Nur Affiyah Siti Ulfia Soviana, Ana Sri Hartatik Sri Hartatik Sri Hartatik Suhartono Suhartono Sukron Djazilan Susanto, Rudi Umar Tatag Yuli Eko Siswono UMMAH, ROCHMATUL Wahyu, Kamirsyah Wiryanto Wiryanto Yosep Dwi Kristanto YUSUF FUAD Zianatul Lailah Zuhroh, Salasatus