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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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The effectiveness of goal-free problems for studying triangle similarity in collaborative groups Purnama, Pratama Wahyu; Retnowati, Endah
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.v6i1.11198

Abstract

Similarity is a topic in Geometry which investigates similar elements of a plane. This topic has a high complexity that generates cognitive load in working memory. A deep understanding of the concept is needed to solve similarity problems. Based on cognitive load theory, learning by goal-free problems is suggested since it can minimize cognitive load. This research examined the effectiveness of presenting similarity inquiries using goal-free problems for learning by collaboration. Using a factorial design: 2 presentation techniques (goal-free vs. goal-given problems) x 2 groupings (collaborative vs. individual) in authentic classrooms, the experiment consisted of four consecutive phases: introductory, learning phase, retention test, and transfer test. One-hundred eleven eighth-graders from four classrooms in a junior high school in Yogyakarta, Indonesia, served as research participants. The findings showed that students who were learning using goal-free problems possessed significantly higher scores of retention and transfer tests, as well as experience lower cognitive load during both tests. On the contrary, it was found that studying individually yielded a significantly higher transfer score than studying collaboratively. Since there was no interaction effect, it may be concluded that goal-free problems can be effective for either collaborative or individual learning.
Teaching and learning process for mathematization activities: The case of solving maximum and minimum problems Jupri, Al; Usdiyana, Dian; Sispiyati, Ririn
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.v6i2.13263

Abstract

One of the topics within the course of Essential Concepts in School Mathematics (ECSM) for prospective mathematics teachers concerns maximum and minimum problems. This type of problems requires mathematization, i.e., the activity of transforming a problem into a symbolic mathematics problem and of reorganizing within the mathematical system, in the solution process. This research aims to investigate the implementation of the learning and teaching process of the ECSM course that strengthen prospective mathematics teachers’  conceptual understanding and problem solving abilities through mathematization activities. To reach this aim, this qualitative study was conducted through an observation of the learning and teaching process, including the formative written assessment, for the case of maximum and minimum problems, involving 19 students of mathematics education program. The results of this study revealed that the learning and teaching process is implemented by emphasizing the use of a deductive approach. The written assessment showed students’ strategies and difficulties in dealing with maximum and minimum problems. Main difficulties included constructing visual representations and mathematical models in the mathematization processes. It can be concluded that the learning and teaching processes of the ECSM course need to be improved so as to develop better conceptual understanding and problem solving abilities through mathematization activities.
Contextual learning with Ethnomathematics in enhancing the problem solving based on thinking levels Nur, Andi Saparuddin; Waluya, Stevanus Budi; Rochmad, Rochmad; Wardono, Wardono
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.v5i3.11679

Abstract

The differences in the development of students' thinking levels, especially in adolescence, impact the way they perceive problems. Contextual learning with ethnomathematics can provide opportunities for students to develop problem-solving abilities based on their level of thinking. This study examined the contextual learning with ethnomathematics to enhance problem-solving abilities based on thinking levels.This experimental research was conducted by posttest only control group design. The participants of this research were 60 students at a junior high school in Gowa Regency, South Sulawesi Province.Data were collected using observation sheets to determine local cultural characters that appeared at the time of treatment. The thinking level category uses the group assessment for logical thinking (GALT) test. The students' mathematical problem-solving abilities use the curved side space material to suit the local cultural context. The data analysis technique used descriptive statistics and covariance analysis (ANCOVA). This study results indicate that contextual learning with ethnomathematics influences problem-solving abilities based on the level of thinking. Furthermore, local cultural characters appear in each category of students' thinking levels. Students with formal thinking levels have better problem-solving abilities than transitional and concrete thinking levels. Contextual learning with ethnomathematics fosters problem-solving abilities based on the thinking levels
Rubric as a learning tool in teaching application of derivatives in basic calculus Auxtero, Leah Conejos; Callaman, Roar Abalos
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.v6i1.11449

Abstract

Rubric has been associated with the term assessment used for grading and/or scoring. However, it might observe less, but it is also designed as students ‘learning tool. This study was conducted to provide empirical facts on its effectiveness as a learning tool in teaching Applications of Derivatives in Basic Calculus. It used the quasi-experimental design called the pretest posttest design. The participants were the 96 students from two classes of Grade 11 STEM students at the University of Mindanao. The instruments used were the adapted and improved rubric designed from two different research, a 25-item teacher-made problem-solving test questionnaire that was used in both pretest and posttest to measure the performance of the experimental and control group. The test questionnaire and rubric were both validated by 3 experts in the field with a result of very good, and it has a good internal consistency. The data gathered were summarized, translated, and analyzed using the mean scores of pretest and posttest. Findings showed that both the experimental and control group showed improvement, however, the experimental group who used rubric as a learning tool showed more significant improvement than control group. Thus, using a rubric as a learning tool in teaching Applications of derivatives is effective in improving students’ academic achievement as it teaches students to develop their understanding of procedural knowledge.
Mathematics education undergraduates’ personal definitions of the notion of angle of contiguity in Kinematics Ndemo, Zakaria; Mtetwa, David
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.v6i2.11130

Abstract

The concept of a mathematical definition causes severe difficulties among students during problem solving and proving activities. Students’ difficulties with the use of mathematical definitions often arise from the fact that students are often given those definitions instead of constructing them. With the aim of developing an understanding of the kinds of student teachers evoked concept images of the notion of  angle of contiguity, a qualitative case study was conducted at one state university in Zimbabwe. Purposive sampling was used to select 28 mathematics undergraduate student teachers who responded to a test item. Qualitative data analysis was guided by ideas drawn from the theoretical framework of Abstraction in Context and idea of imperative features of a mathematical definition.  Student teachers written responses revealed that student teachers personal concept definitions consisted of ambiguous and irrelevant formulations that did not capture the essence of the idea of the angle of contiguity. In some cases their responses were not consistent with the definition of the angle of contiguity.  Although there were a few instances of adequate descriptions of the concept, (8 out of  32) these and the inadequate descriptors elicited can contribute significantly towards efforts intended to improve mathematics instruction.  Improved mathematics instruction will lead to enhanced conceptualizations of mathematics concepts.
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 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.v5i3.12231

Abstract

Cognitive flexibility: exploring students’ problem-solving in elementary school mathematics learning Rahayuningsih, Sri; Sirajuddin, Sirajuddin; Nasrun, Nasrun
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.v6i1.11630

Abstract

In classroom learning, students need mathematical cognitive flexibility to be able to solve mathematical problems with the various ideas they express. To solve the problems, they must be able to grasp the problem, see it from various points of view, and should not be rigid thinking with one solving method.  In fact, the students still lack the ability to think flexibly in solving math problems. This exploration is necessary to determine how to encourage the students’ creative problem-solving. The purposive sampling technique is used to select two out of 150 of 4th Grade students who have taken an initial test to measure their creative abilities. Problem-solving worksheet, think-aloud records, and interviews are used as data collection instruments. Then, the data were analyzed using a qualitative descriptive approach. The research instrument is validated by two professors of mathematics. Through a series of revisions based on expert advice, the validity results are said to be feasible for use. To check for reliability, field tests are tested on 10 students who meet the criteria as research subjects. Analysis results indicate that cognitive abilities involve cognitive processes in the form of the ability to assess process by looking for patterns of numbers, mentally compute, estimate, and assess the rationality or reasonableness of calculation results. Other findings on students' cognitive processes in solving math problems include looking for number patterns, carrying out trial-and-error (also called guess-and-check), and drawing diagrams. Students with cognitive flexibility tend to use trial-and-error when solving mathematical problems.
Challenging primary school students’ attitude toward calculators Sri Padmi, Russasmita
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.v5i3.10061

Abstract

Calculators are a viable option for educational technology in developing countries due to its affordability and accessibility; it is also supported by literature to have positive effects on the students’ acquisition of mathematics concepts and skills positively. However, the stakeholders of education in Indonesia often stigmatize the use of calculators in mathematics classrooms, especially in primary school. This is in contrast with the policy of many developing countries which include calculator as one of the educational technologies to be used in the classroom. This study aims to investigate the effect of calculator-enhanced mathematics lessons on the attitude of primary school students’. Fourth-grade students (n = 95) in four separate schools with minimum calculator experience participated in this study. The questionnaire was administered before and after the lesson to record their attitude. The use of a well-established scale ensured validity, while the Cronbach-Alpha score confirmed reliability. Data analysis was conducted through the comparison of mean value between pre- and post-questionnaires scores. The finding suggests that while the effect on attitude toward mathematics is somewhat mixed, there is a significant improvement in the students’ attitude toward using calculators to learn mathematics. Calculator-enhanced mathematics lessons help the students foster more positive attitudes toward calculators. The finding of the present study is expected to help teachers to challenge the stigma about calculator and thus can benefit from calculator to enhance their lesson.
Synchronous and asynchronous online learning of advanced statistics during Covid-19 pandemic Jackson Pasini Mairing; Rhodinus Sidabutar; Elyasib Yunas Lada; Henry Aritonang
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 3 July 2021
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v6i3.13477

Abstract

Online learning could have negative impacts on learning processes and outcomes. The condition needed to be resolved through the implementation of appropriate online learning approaches. The research was aimed at describing the effectiveness of the implementation of asynchronous and synchronous online learning approaches in students’ learning outcomes and skills of using Microsoft Excel on the Advanced Statistics of Mathematics Education Department from one of the universities in Central Kalimantan. The learning approaches were integrated with mathematics problems, Minitab software and Microsoft Excel, and videos. The research design was experimental research using a one-group posttest-only design. The subjects were chosen by clustered random sampling. They were 18 students of the department in the 2020/2021 academic year. The instruments were a lesson plan, several videos, textbooks, e-books, questionnaires, mathematics problems, mid-test, and final-test. The students learned using textbooks, e-books, and videos and solved the problems independently. Then, they discussed the solutions online in groups through their WhatsApp group (asynchronously). The problem solutions were presented by the students using a class on WhatsApp or video conference platforms (synchronous). The authors collected data by administering the questionnaire and the tests and analyzed the data using a -test and a Wilcoxon test. The results showed that the implementation of the approaches was effective in enhancing the learning outcomes and skills of using Microsoft Excel. Furthermore, most students positively responded to learn independently and all the students positively responded to analyze data using the software.
Professional competency: Pre-service mathematics teachers’ understanding toward probability concept Sitti Karimah Sulfiah; Yus Mochamad Cholily; Agus Subaidi
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 3 July 2021
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v6i3.13779

Abstract

The ability to understand mathematics is a faculty crucial to be possessed by pre-service teachers who will enter into the education sphere. It is one of the professional competencies essential for teachers since satisfactory lessons’ delivery engenders more comprehensible instruction in teachers’ students. Qualitative research employs a descriptive approach relevant to the research purpose, describing mathematics pre-service teachers’ professional competency of understanding the concept toward probability observed based on mathematical abilities; advanced, intermediate, and basic mathematics ability. The subjects are three pre-service teachers having passed discrete mathematics course in a college in Madura. The criteria to select the subjects are the GPA (Grade-point Average) of the last semester and information from the lecturer.  It is because unlikely to administer the test due to online learning applied at the college. Findings indicated that the subject with advanced mathematics ability could meet individual concepts, relate concepts and connect concepts with the operations. The subject with intermediate mathematics ability could meet individual concepts, but could not relate to some concepts. However,  he could connect concepts with the operations. The subject with basic mathematics ability could not meet individual concepts, relate concepts, and connect concepts with the operations. In terms of the advancement indicator of understanding the concept, the subjects have not attained it since they have not apprehended concept definition well, particularly the probability concept, although the subject with advanced mathematics ability was procedurally prodigious.

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