Journal of Research and Advances in Mathematics Education
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.
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Social semiotics analysis of Palestinian mathematics textbooks for eighth grade
Daher, Wajeeh;
abu Thabet, Ijteyad
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.8960
Mathematics textbook analysis can serve to understand the teaching and learning processes in the mathematics classroom. The present study utilizes a social semiotics framework to analyze the triangle unit of the Palestinian mathematics book for grade 8. The results of the study indicate that the authors utilized the representational aspect of the mathematical object to introduce those objects to the reader. Moreover, the nature of mathematics resulting from this unit is that of a subject that learners do not need material processes to discover, so it is enough to reason about it mentally to arrive at the mathematical objects and relations. The authors used a plural first-person pronoun to describe the need to engage with theorems and inverse theorems. They used the singular second-person pronoun to attract the attention of the reader to specific features of the mathematical objects. The authors did not use any pronoun when stating the theorem. Some of the connectors were verbs, nouns, and sentences, where the most used connector was the sentence, especially in reasoning. This use of the sentence in mathematical reasoning indicates that the authors wanted to advance the mathematical reasoning as a narrative to facilitate it for the reader.
Pre-service secondary teachers’ knowledge of the function concept: A cluster analysis approach
Marbán, José MarÃa;
Sintema, Edgar John
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.9703
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.
Developing complex analysis textbook to enhance students’ critical thinking
Setyawan, Fariz;
Prasetyo, Puguh Wahyu;
Nurnugroho, Burhanudin Arif
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.8741
Critical thinking skill was needed since problems in daily life required a solution. To solve the problems, the students collect the data as a consideration in making the right decision. Moreover, the students also need good critical thinking skills. To develop a good critical thinking skill, the researcher develops a textbook of Complex Analysis and Application, especially in complex numbers. In this research, a qualitative investigation was carried out in the development of the textbook. This textbook supports the mathematics education students of Universitas Ahmad Dahlan in learning complex analysis course. Researchers did a walkthrough to the expert in assessing the content and construct to validate the textbook. The development model used by researchers is a 4-D model. A 4-D model used in this study is consists of defining, designing, developing, and disseminating. In defining, the researcher adequate materials related to the complex numbers such as the rational number and real number and its properties in addition and multiplication. In designing, some explanation in the textbook is followed by Why and How questions. Open questions are used to stimulate the students’ critical thinking. Based on the walkthrough result, some notation in the textbook, especially mathematics symbols, must be revised using a proper mathematics equation. In addition, some concept should be clearly defined such as  where the value of . As a result of the validity construct, the explanation given in the textbook used a step-by-step exercise. In disseminating, the students can easily access the textbook and answer the questions using their reasoning. The textbook is valid and readable.
Exploring senior high school student's abilities in mathematical problem posing
Muhtarom, Muhtarom;
Shodiqin, Ali;
Astriani, Novita
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.9818
The ability of problem posing is very essential for the student’s. However, there are still many students who don't realize the importance of these abilities. This research describes the senior high school student’s ability in mathematical problem posing, especially in the material system of linear equations in three variables. Research data were collected from 7 student’s using written test and interview techniques. The validity of the data used triangulation methods by comparing the results of written tests and interviews. Data were coded, simplified, presented, and triangulated for the credibility and conclusion drawing. The results show that there were still very few students who have all three classifications of problem posing abilities, namely pre-solution posing, within-solution posing, and post-solution posing. Students who have the ability of pre-solution posing can ask questions based on the data provided and can arrange problem solving. Students who have the ability of within-solution posing can write what is given and asked of the problem, raise supporting questions which is relevant to the problem and arrange solutions to the supporting questions and problems that are given correctly. Students who have the ability of post-solution posing can raise similar mathematics problem after solving the problem. Students can also arrange solutions to problems that have been made. Teacher needs to practice pre-solution posing, within-solution posing, and post-solution posing to the students.
Promoting creative thinking for gifted students in undergraduate mathematics
Ngiamsunthorn, Parinya Sa
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.9675
Gifted students need a form of special education through extracurricular and learning experiences because they have extraordinary potential in terms of intelligence, creativity, social and mentality, compared to other students. This study aims to investigate various teaching and learning approaches designed for gifted students, and to constitute appropriate techniques that enhance their creative thinking in mathematics. The participants of this study were first-year gifted students enrolled in fundamental mathematics courses towards their undergraduate engineering programs at a science and technology-based university in Thailand. This study discovered that an adequate use of challenge-based learning, problem solving process, project-based learning, well-designed questions and in-depth learning style in the classroom effectively fostered their insightful and creative thought. Moreover, an online tool such as Facebook could be used as a learning platform outside the classroom to engage them in online discussion and collaboration and to challenge their thinking. Ultimately, based on students’ feedbacks and evaluation, this study found that a combination of these techniques and methods built up a more comfortable and motivating atmosphere that helped them for creative thinking and corresponded to their needs and satisfaction.
A factor analytic structure of the conceptions of mathematics scale among pre-service mathematics teachers in South-West Nigeria
Awofala, Adeneye Olarewaju;
Lawani, Abisola Olusola;
Oraegbunam, Chidinma O.
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.9491
An exploration of factor analytic structure of the conceptions of mathematics scale among pre-service mathematics teachers in South-West Nigeria was conducted as evidence suggests paucity of research on psychometric properties of the conceptions of mathematics scale in Nigeria.This article through instrumentation research methodology reports the reliability and validity of the Conceptions of Mathematics Scale based on the responses of 228 pre-service mathematics teachers from five public universities in South-West Nigeria. The reliability assessed as internal consistency produced a Cronbach alpha of .88. A principal components exploration with varimax gyration established the validity of the scale as two-component archetypal accounting for 48.9% of the total variance. The dimensions were taken as Patchy Formations and Unified Formations of mathematics, as explicated in the original and other replicating studies. The factor solution could be compared to that recounted in the previous studies; hence the outcome showed the need to adopt the scale in the Nigerian context, as the pedagogy implemented during the teaching and learning of mathematics can influence students’ conceptions of mathematics. Thus, teaching mathematics with rules-based and algorithm-dependent teacher-centered pedagogies might result into rote memorization thereby leading to patchy formations while teaching mathematics as a meaningful subject full of applications to the real life could engender conceptual understanding leading to unified formations. The implication of this study is that students with patchy formation are connected with surface approaches to learning while those with unified formation of mathematics are connected with deep approaches to learning and engaging mathematics.
Early-years future teachers’ mathematical beliefs as determinants of performance in primary mathematics
Awofala, Adeneye Olarewaju;
Sopekan, Oludola Sarah
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.9433
One construct that lies in between the cognitive and affective domains of mathematics education is belief and this concept is rarely investigated in the Nigerian mathematics education community. Thus, an investigation of early-years future teachers’ mathematical beliefs as determinants of performance in primary mathematics within the blueprint of the quantitative method of the descriptive survey research design was conducted. Three research questions were addressed and secondary data relating to performance in mathematics of 320 early-years future teachers were retrieved from their records at the Department of Arts and Social Sciences Education, University of Lagos, Nigeria. One other instrument labeled Mathematical Beliefs Scale was employed for the collection of key data connected to the mathematical beliefs. The collected data were condensed and explored with the principal components factor analysis, multiple regression analysis, and independent samples t-test. Results showed that mathematical beliefs measured using the Mathematical Beliefs Scale are a multidimensional construct with four-factor structure: emotional and developmental commitment in learning of mathematics; self-assurance and philosophies concerning one's subjective mathematical aptitude; beliefs about mathematics; and mathematical problem-solving beliefs. These factors show adequate and excellent reliabilities as computed using Cronbach alpha. Also, gender was not a factor in early-years future teachers' mathematical beliefs even at the subscale level and the four factors of the mathematical belief scale predicted early-years future teachers' performance in primary mathematics. In line with these results, it is recommended that early-years future teachers be taught in a constructivist manner so that they can imbibe constructivist beliefs capable of engendering better learning of mathematics.
Front Matter (Cover, Editorial Board, Journal Profile and Citations, Indexing and Abstracting, Table of Content)
Editorial, Editorial
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.10394
Front Matter (Cover, Editorial Board, Journal Profile and Citations, Indexing and Abstracting, Table of Content)
Junior high school mathematics teachers’ knowledge in calculators
Taley, Isaac Bengre;
Adusei, Matilda Sarpong
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.9523
Helping junior high school students to use calculators and computers for problem solving and investigating real-life situations is an objective of the junior high school mathematics curriculum in Ghana. Ironically, there is a technological drought in junior high school mathematics instruction in Ghana, with a suspicion that mathematics teachers’ competency in the use of calculators for teaching may be the source of this lack of use. This study sought to establish a correlation between junior high school mathematics teachers’ competence and the motivation supporting the use of calculators in teaching. A descriptive survey comprising of a test and questionnaire was used to collect data from junior high school mathematics teachers in an educational district in Ghana. Teacher characteristics such as educational attainment, age, and gender in relation to teachers’ competency in the use of calculators were discussed in the study. The results showed that about 70% of the teachers exhibited a low level of calculator competence. Besides, novice teachers outperformed expert teachers in the calculator competency-based test. Additionally, mathematics teachers’ enthusiasm for using calculators in teaching was directly associated with the teachers’ level of competency. The findings may send a signal to stakeholders in their efforts to revising the Ghana JHS curriculum in order to actualize the curriculum desire for the integration of technology in the teaching and learning of JHS mathematics.
Early-years future teachers’ mathematical beliefs as determinants of performance in primary mathematics
Adeneye Olarewaju Awofala;
Oludola Sarah Sopekan
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta
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DOI: 10.23917/jramathedu.v5i1.9433
One construct that lies in between the cognitive and affective domains of mathematics education is belief and this concept is rarely investigated in the Nigerian mathematics education community. Thus, an investigation of early-years future teachers’ mathematical beliefs as determinants of performance in primary mathematics within the blueprint of the quantitative method of the descriptive survey research design was conducted. Three research questions were addressed and secondary data relating to performance in mathematics of 320 early-years future teachers were retrieved from their records at the Department of Arts and Social Sciences Education, University of Lagos, Nigeria. One other instrument labeled Mathematical Beliefs Scale was employed for the collection of key data connected to the mathematical beliefs. The collected data were condensed and explored with the principal components factor analysis, multiple regression analysis, and independent samples t-test. Results showed that mathematical beliefs measured using the Mathematical Beliefs Scale are a multidimensional construct with four-factor structure: emotional and developmental commitment in learning of mathematics; self-assurance and philosophies concerning one's subjective mathematical aptitude; beliefs about mathematics; and mathematical problem-solving beliefs. These factors show adequate and excellent reliabilities as computed using Cronbach alpha. Also, gender was not a factor in early-years future teachers' mathematical beliefs even at the subscale level and the four factors of the mathematical belief scale predicted early-years future teachers' performance in primary mathematics. In line with these results, it is recommended that early-years future teachers be taught in a constructivist manner so that they can imbibe constructivist beliefs capable of engendering better learning of mathematics.