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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 18 Documents
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Search results for , issue "Volume 5 Issue 2 June 2020" : 18 Documents clear
Pre-service teacher’s mathematical knowledge for teaching in problem-based learning Novikasari, Ifada
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.v5i2.10556

Abstract

Mathematical Knowledge for Teaching (MKT), comprising Mathematics Content Knowledge (MCK) and Mathematics Pedagogy Content Knowledge (MPCK), is essential for pre-service teachers. However, numerous studies have shown that pre-service teachers are weak in content and difficult to plan to teach. Therefore, a shifting effort dealing with the learning activities within the teacher training program from a teacher-centered to student-centered approach should be made. One learning model succeeding in the student-centered approach is Problem-Based Learning (PBL). Studies on PBL as an effort to improve the MCK and MPCK of pre-service teachers have never been done before. There were two models of PBL applied in this experimental study: PBL with authentic problems (PBL1) and PBL with authentic problems and teaching practices (PBL2). The aspects of MCK studied are knowing, applying, and reasoning. While the aspects of MPCK are creating representation for the explanation, understanding mathematical structures, and anticipating students' thinking. The results of the study showed that there were significant differences between MCK and MPCK achievements in PBL1, PBL2, and conventional learning classes conventional. PBL1 and PBL2 classes were considered superiors since the pre-service teachers predominantly control the learning activities and were active in finding solutions. Hence, there were differences in the effect of the learning models on the aspects of MCK and MPCK.
Pre-service mathematics teachers’ nature of understanding of the tangent function Malambo, Priestly
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.v5i2.10638

Abstract

Mathematics teachers’ ability to translate and make connections between representations of functions requires investigation. Consequently, this qualitative case study article focuses on pre-service mathematics teachers’ nature of understanding of the tangent function; a function bearing unique characteristics compared with the sine and cosine functions. Twenty-two finalist pre-service teachers were conveniently selected and assessed concerning the ability to translate a tangent function to the graphical representation. Likewise, participants’ abilities to correctly explain this function and provide appropriate justifications for espoused perspectives were investigated. Although the teachers learned higher mathematics, their assessment was school mathematics-based. Descriptive analyses showed that only one teacher (5%) accurately completed the task. Eleven teachers (50%) did not provide graphs; suggesting a lack of knowledge required to change representation. Ten (45%) drew flawed graphs depicting a lack of understanding of discontinuity of the tangent function at certain angles and the role of a domain. Essentially, these demonstrated mere memorization of the appearance of the tangent graph. A purposive sub-sample of size six then participated in exploratory semi-structured interviews. The interviews allowed participants to elucidate their answers to the initial task. Content analysis of the transcripts corroborated the earlier finding as the interviewees could not coherently explain the tangent function, and failed to justify their reasoning. The teachers demonstrated a superficial understanding despite having studied advanced mathematics. This reinforces the view that studying advanced mathematics does not assure a relational understanding of school mathematics. Therefore, it is necessary for trainee teachers to explore school mathematics.
The pattern of a relational understanding of fifth-grade students on integer operations Utomo, Dwi Priyo
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.v5i2.9545

Abstract

Relational understanding constitutes students’ awareness of appropriate procedures to solve problems along with logical reasoning.  Itis pivotal to help students solve problems in mathematics. It is necessary that the teaching of mathematics be directed to achieve relational understanding. Accordingly, students are capable of solving complicated problems in mathematics. This current research aims at analyzing and describing relational understanding and the patterns of answering questions of the fifth graders on integer operation. This study used a qualitative approach with a case study as the research design. Further, three students belonging to the fifth grade of Elementary School in Malang City, Indonesia, were set up as the research subjects. A test was administered to measure the subjects' relational understanding. All collected data were analyzed using an interactive technique. The result has indicated that the highly-proficient student was able to show excellent relational understanding. Besides, it was shown that the fairly-proficient student could show good relational understanding. The lowly-proficient student was shown to be able to achieve only half of the holistic criteria set for relational understanding. The patterns of answering the questions demonstrated by all students in all levels included jotting down the models, completing the models, and answering the questions. The highly-proficient student understood the information and wrote it down. Whilst the fairly-proficient student understood the information without translating it into the written form. At last, the lowly-proficient student did not pronounce any signals of understanding of the information
Social media usage among pre-service secondary mathematics teachers in Zambia Mulenga, Eddie Mumba; Marbàn, José María
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.v5i2.9920

Abstract

Social media technologies have reshaped our lives today and Zambian teachers do a massive use of smart phones, tablets, and other portable tools. In addition, they are continually searching for forefront innovations. Frequently, the utilization of these gadgets is not in manners foreseen by innovation advocates. This study focuses on exploring the use of social media platforms and the impact of such social networking services in the teaching and learning of mathematics by pre-service teachers. To explore pre-service teachers’ use of social media in their teaching and learning experiences, the authors administered an adapted and validated research instrument via a quantitative survey system to a sample of 102 pre-service teachers from the Copperbelt University. Analysis of variance and multiple regression analysis were used to test the interplay of relationships between pre-service teachers’ attitudes towards the use of social media based on year of study and gender, social media use and classroom integration, social media use, and mathematics pedagogy. Further, a statistical test was run to show whether positive correlations existed or not. Results disclosed that respondents showed an average use of social media tools in mathematics and provide a prediction model for pre-service teachers’ future integration of social media in the teaching and learning of mathematics.
Promoting prospective teachers’ conceptual knowledge through web-based blended learning Yurniwati, Yurniwati; Yarmi, Gusti
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.v5i2.10418

Abstract

Fractions remain a difficult concept for students at the elementary level. On that ground, prospective teachers need to develop the conceptual knowledge to have a deep understanding of the concept and how the concepts are related to each other. Furthermore, they must be able to explain the concepts through media in the form of concrete objects or images to help students grasp the whole concept of fractions. This research investigates the effect of web-based blended learning on the development of Conceptual Knowledge of prospective teachers. Web-based blended learning is a combination of online learning and face to face classroom group discussion. Prospective teachers use Edmodo as the learning management system that contains various learning resources such as videos, documents, and students’ assignments in the form of Google Forms. This study design is a non-experimental post-test. The data obtained by using open tests and analyzed descriptively. Participants are prospective teachers who enrolled in the Teaching Arithmetic course in the 7th semester of the 2018/2019 academic year at the Department of Primary School Teacher Training, Universitas Negeri Jakarta, Indonesia. This study found web-based blending learning is an effective learning system to develop prospective mathematics elementary teachers’ conceptual abilities of fractions. It is recommended that this learning system be included in the prospective teachers’ Education module.
Front Matter (Cover, Editorial Board, Indexing and Abstracting, Table of Content) Editorial, Editorial
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.v5i2.11315

Abstract

Students’ mathematics achievement in Mindanao context: A meta-analysis Callaman, Roar Abalos; Itaas, Estela Corro
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.v5i2.10282

Abstract

Over the years, there have been several studies exploring the factors affecting mathematics achievement. However, no study, specifically in the Mindanao context has attempted to summarize or illustrate the model for these sets of studies. This study aims to analyze the overall effect size of the factors on the student’s achievement in mathematics. The causal-comparative research design was utilized to synthesize the existing research about the student-related, teacher-related, and school-related factors that have -greatly influenced students’ mathematics achievement. Through the use of a multi-stage sampling design, 200 existing studies were funneled down to 50 with 158 effect sizes which met the inclusion criteria coming from the different colleges and universities in Mindanao. To determine the significant factors be included in the model that significantly influence students’ achievement, Hierarchical Linear Modeling (HLM) was utilized. The findings revealed that the overall effect sizes have a small effect on mathematics achievement. On the other hand, mathematical skills, attitude, and self-efficacy are found to be the predictors of students’ mathematical achievement. Further, it was concluded that the type of school where the student is studying could cause significant variation in the effect sizes. It is recommended that educational institutions may review regularly the curriculum addressing the disparity of achievement between public and private schools. Also, teachers may utilize varied teaching strategies so that students would develop interest and positive learning attitudes towards mathematics.
Students’ visual thinking ability in solving the integral problem Sholihah, Ummu; 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.  
Exploring students' creative thinking in the use of representations in solving mathematical problems based on cognitive style Nugroho, Aryo Andri; Nizaruddin, Nizaruddin; Dwijayanti, Ida; Tristianti, Anggi
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.v5i2.9983

Abstract

Creative thinking is the cognitive activities that process the received information to produce new representations. Therefore, it is necessary to develop creative thinking and represent a problem. This study aims to investigate the students' creative thinking processes based on representation in solving mathematical problems reviewed from cognitive style. Qualitative research was used as a procedure of the study. The data was collected through MFFT questionnaires, mathematics problem tests, and interviews. This research involved 31 eighth-grade students at one of junior high school in Kendal regency, Central Java. Those two subjects represented the reflective and impulsive cognitive styles that have been selected based on their mathematical abilities. The data was analyzed through iterative method. The results of the study showed that both subjects demonstrated a different performance in solving problem. In term of fluency, both subjects used visual representations in interpreting information. On the originality, the reflective subject used symbolic representations. while the impulsive one used symbolic and verbal representations in constructing the mathematical expressions. However, both of them have not yet created new ideas in solving problems. Moreover, on the flexibility, these both subjects used visual and symbolic representations that could solve the problems by utilizing the environment objects towards the interpret problems into mathematical expressions. However, the reflective subject made a mistake in elaborating the formula as well as the impulsive subject can do it. These results indicated that both subjects have used the representation of each indicator of creative thinking in solving problems.
Pre-service mathematics teachers’ nature of understanding of the tangent function Priestly Malambo
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.v5i2.10638

Abstract

Mathematics teachers’ ability to translate and make connections between representations of functions requires investigation. Consequently, this qualitative case study article focuses on pre-service mathematics teachers’ nature of understanding of the tangent function; a function bearing unique characteristics compared with the sine and cosine functions. Twenty-two finalist pre-service teachers were conveniently selected and assessed concerning the ability to translate a tangent function to the graphical representation. Likewise, participants’ abilities to correctly explain this function and provide appropriate justifications for espoused perspectives were investigated. Although the teachers learned higher mathematics, their assessment was school mathematics-based. Descriptive analyses showed that only one teacher (5%) accurately completed the task. Eleven teachers (50%) did not provide graphs; suggesting a lack of knowledge required to change representation. Ten (45%) drew flawed graphs depicting a lack of understanding of discontinuity of the tangent function at certain angles and the role of a domain. Essentially, these demonstrated mere memorization of the appearance of the tangent graph. A purposive sub-sample of size six then participated in exploratory semi-structured interviews. The interviews allowed participants to elucidate their answers to the initial task. Content analysis of the transcripts corroborated the earlier finding as the interviewees could not coherently explain the tangent function, and failed to justify their reasoning. The teachers demonstrated a superficial understanding despite having studied advanced mathematics. This reinforces the view that studying advanced mathematics does not assure a relational understanding of school mathematics. Therefore, it is necessary for trainee teachers to explore school mathematics.

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