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Journal of Research and Advances in Mathematics Education
Published by Universitas Muhammadiyah Surakarta
ISSN : 25033697     EISSN : 25412590     DOI : -
Core Subject : Education,
Education Mathematics
JRAMathEdu (Journal of Research and Advances in Mathematics Education) is open-access and peer-reviewed scholarly online journal managed by Department of Mathematics Education, Universitas Muhammadiyah Surakarta and published by Muhammadiyah University Press (MUP). The journal is published twice a year in January and July.
Arjuna Subject : -
Articles 237 Documents
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Front Matter (Cover, Editorial Board, Indexing and Abstracting, Table of Content) Editorial Board
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 4, No. 1, January 2019
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v4i1.7767

Abstract

Front Matter (Cover, Editorial Board, Indexing and abstracting, table of content)
Students’ visual thinking ability in solving the integral problem Ummu Sholihah; Maryono Maryono
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 2 June 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v5i2.10286

Abstract

Visual thinking plays an essential role in solving problems and in learning mathematics. Many students do not understand how to graphically or geometrically represent problems and solve algebra problems. Visual thinking is the ability, process, and results of creating, interpreting, using, and imagining images and diagrams on paper or with technological tools, describing and communicating information and ideas, developing ideas, and understanding improvement. This research describes students’ visual thinking ability to solve integral problems. The approach used in this study was descriptive qualitative. The subjects in this study were three students from the Department of Mathematics Education at the State Islamic Institute of Tulungagung. The data were collected by using tests and interviews. The steps to analyze the data were categorization, reduction, exposure, interpretation, and conclusion. Based on the analysis of students’ visual thinking skills in solving integral problems, there were three levels of visual thinking: semi-local visual, local visual, and global visual. At the semi-local visual level, students could only understand algebraically, and they have not shown it graphically at all. Meanwhile, at the local visual level, they have already understood geometry as an alternative language and been able graphically represented problems or concepts, even though it was not perfectly done yet. While on a global visual level, they could perfectly visualize visual thinking indicators, understand algebra and geometry as alternative languages for problem-solving, extract specific information from diagrams, graph problems, and use them to solve problems perfectly.  
Students' Mathematical Communication Ability through the Brain-Based Learning Approach using Autograph Mailis Triana; Cut Morina Zubainur; Bahrun Bahrun
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 4, No. 1, January 2019
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v4i1.6972

Abstract

AStudents’ skills in expressing mathematical ideas in various ways have not met the expectation. Teachers need to apply the learning providing students’ opportunities to present their mathematical ideas. Utilizing the Brain-Based Learning (BBL) approach with Autograph can help students develop their mathematical communication skills. The purpose of this study was to analyze the development of students’ mathematical communication skills. Twenty-eight 10th grade students in one of the high schools in Banda Aceh participated in the study. The instruments used were a mathematical communication skills test and the activity observation. Data were analyzed using descriptive analysis. The study showed that mathematics learning applying BBL approach with Autograph contribute to developing students’ mathematical communication skills.
Pre-service secondary teachers’ knowledge of the function concept: A cluster analysis approach José María Marbán; Edgar John Sintema
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v5i1.9703

Abstract

Teacher training is a key aspect for the success of any educational system and it is a prior challenge to facein-depth in Zambia. This study explores some dimensions of prospective secondary mathematics teachers’ subject-matter knowledge and pedagogical content knowledge restricted to the topic of the function concept. Data were collected by means of a questionnaire that was administered to a sample of 150 prospective teachers enrolled attwo public universities inCopperbelt, Zambia. A two-step cluster analysis was used to reveal natural grouping within the datasetobtained. As a result, a two-cluster solution was revealedas the solution that best profiled the data, with participants within both clusters scoringlow in the knowledge domains under consideration. To further understand the results a one-way between-subjects multivariate analysis of variance (MANOVA) and a follow-up discriminant function analysis (DFA) were also conducted. Common content knowledge was shown to be the most important factor in discriminating between prospective teachers in Cluster 1 and those in Cluster 2. The knowledge inadequacies identified are certainly worrisome and are likely to be transferred to young learners at secondary schools. Consequently, it is necessary to address with some urgency certain reforms in educational policies for teacher training programs in Zambia.
Becoming reflective practitioners: Mathematics student teachers' experiences Elizabeth Ndeukumwa Ngololo; Leena Ngonyofi Kanandjebo
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 2 April 2021
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v6i2.12375

Abstract

The level of quality reflective practice remains low among student teachers majoring in Mathematics education. This paper aims to identify the levels of reflective practice possessed by Mathematics education student teachers in a teacher training program at higher learning institutions in Namibia. The professional status requires that teachers become reflective practitioners to develop their effectiveness- a skill they can acquire during their training. A reflection framework was used to identify levels of reflective practices among Mathematics student teachers. This study is qualitative and employed a narrative inquiry approach to assess the effectiveness of reflective practice as experienced by student teachers. A total of ten third-year undergraduate students majoring in Mathematics Education participated in the study by generating reflective journals. The results show that student teachers have insufficient reflective skills which are limited to the first two levels of the reflection framework:  technical reflection and reflection-in-and-on-action. This could be due to little guidance offered on developing reflective skills and its use by student teachers. This study's findings will be used to improve the rationality, social and educational practices among the student teachers.  
Mathematical Creative Thinking Ability of Junior High School Students in Solving Open-Ended Problem Herwinanda Trisnaning Damayanti; Sumardi Sumardi
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 3, No. 1, January 2018
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v3i1.5869

Abstract

The study aims to describe the ability of mathematical creative thinking on the aspects of fluency, flexibility, and originality in solving open-ended problem of Linear Equations with One Variable. The subjects are 7th grade students of one private junior high school in Surakarta, Central Java, Indonesia. The data was collected by the test, interview, and documentation. The method of data validation was used triangulation, i.e. techniques and resources. The analysis technique of the data was used an interactive method that consists of the reduction, presentation, and conclusion. The result of the research shows that the fluency aspect achieved by the students ability to mention the possibility of other answers. Then, the flexibility aspect is showed by the students use different method to solve the problem, or at least use the appropriate method. The originality aspect is showed by the students‘ ability to make the problem which are rarely found by other students.
Potential Effect of PISA Equivalent Questions Using the Context of Aceh Traditional Houses Uliyatul Usnul; Rahmah Johar; Hizir Sofyan
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 4, No. 2, July 2019
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v4i2.8362

Abstract

The achievement of Indonesian students in PISA remains unsatisfactory, as evidenced by their scores that are below the baseline level set in PISA. One of the contributing factors is that Indonesian students are less trained in solving problems with characteristics such as in PISA items. Therefore, it is necessary to familiarize Indonesian students with PISA equivalent problems, but the availability of these questions is still limited, especially concerning reasoning ability. In addition, the use of context is also crucial, especially the local contexts, which can help students understand mathematical phenomena from the perspective of their life experiences. The purpose of this study was to develop the questions of PISA equivalent mathematical reasoning ability using the context of Aceh traditional houses. This research used formative evaluation type development research from Tessmer. The results of this study were 12 mathematical questions equivalent to PISA using the context of Aceh traditional house. The potential effect of the questions developed was analyzed based on the student's responses to the questionnaire, including two aspects: 1) students are interested and seriously working on the questions and 2) the students are interested in using the equivalent PISA questions in the future.
A design approach to mathematics teacher educator development in East Africa Jennie Golding; Marjorie Sarah K. Batiibwe
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 1 January 2021
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v6i1.11898

Abstract

Mathematical functioning in sub-Saharan Africa remains persistently weak in global terms. This limits the flourishing of young people and communities in the region. Moreover, affordable, effective ways to address the issue are not well established. This paper analyses outcomes from a blended learning ‘Mathematical Thinking and IT’ course, iteratively adapted for East African primary mathematics teacher educators. The course adopted theoretical approaches derived from the mathematics, teacher and technology education literatures. It aimed to address the problem of low mathematical functioning by equipping participants for their own work, and also for supporting local collaborative teacher development workshops. The reported study asked, ‘What are the affordances and constraints of the adapted course and the available technology for mathematics teacher educator development in this context?’A variety of qualitative tools were used to track the course’s impact on the ten mathematics teacher educator participants over six months, as they attempted to transfer course learning to their home professional context. The analysis adopted an ethnographic lens. Outcomes suggested participants with a broad mathematical and pedagogical capacity for change, including critical levels of reflection, made significant progress in their technological, mathematical and mathematics pedagogical expertise. However, teacher educators without such a threshold capacity appeared not able to re-envision practice. Free subject-specific software was appreciated by all participants, but not yet reliably accessible in these teacher educators’ institutional contexts. The reported study evidences the potential for affordable, sustainable, development of many mathematics teacher educators in this context, but further research is needed. Similar courses should take account of local technological and education constraints
Identifying Students’ Errors on Fractions Herani Tri Lestiana; Sri Rejeki; Fariz Setyawan
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 1, No. 2, July 2016
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v1i2.3396

Abstract

Many studies have revealed that fraction is a complicated mathematics topic for students. Students struggle to solve problems including comparison and addition of fractions correctly. However, some students often make some common mistakes in solving the mathematics problems. There are three types of errors in solving mathematics problems, which are factual error, procedural error, and computational error. This study was aimed at investigating various mistakes by students in problems related to fractions. A set of validated problems about comparing and adding fractions was assigned to third grade students of SD N Laboratorium Unesa Surabaya. The results indicated that some students were not aware on how to compare and add fractions. Most of these students employed incorrect strategies categorized as procedural and conceptual errors.
Distributivity, partitioning, and the multiplication algorithm Chris Hurst; Ray Huntley
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 3 October 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v5i3.10962

Abstract

Multiplicative thinking underpins much of the mathematics learned beyond the middle primary years. As such, it needs to be understood conceptually to highlight the connections between its many aspects. This paper focuses on one such connection; that is how the array, place value partitioning and the distributive property of multiplication are related. It is important that students understand how the property informs the written multiplication algorithm. Another component of successful use of the standard multiplication algorithm is extended number facts and the paper also explores students’ ability to understand and generate them. One purpose of the study was to investigate the extent to which students used the standard multiplication algorithm and if their use of it is supported by an understanding of the underpinning components of the array, partitioning, the distributive property, and extended number facts. That is, we seek to learn if students have a conceptual understanding of the multiplication algorithm and its underpinning mathematics that would enable them to transfer their knowledge to a range of contexts, or if they have procedurally learned mathematics. In this qualitative study, data were generated from the administration of a Multiplicative Thinking Quiz with a sample of 36 primary aged students. Data were analyzed manually and reported using descriptive statistics. The main implications of the study are that the connections among the multiplicative array, place value partitioning, base ten property of place value, distributive property of multiplication, and extended number facts need to be made explicit for children in terms of how they inform the use of the written algorithm for multiplication. 

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