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.
Articles
237 Documents
<![CDATA[Ethnomathematics: Modelling the volume of solid of revolution at Buginese and Makassarese traditional foods ]]>
<![CDATA[Zulfiqar Busrah]]>;
<![CDATA[Hikmawati Pathuddin]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 4 October 2021 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v6i4.15050
<![CDATA[Ethnomathematics can empirically improve the cognitive abilities of students in elementary and secondary schools. However, in undergraduate study, there are still limited studies on integrating ethnomathematics in learning resources. This study aims to apply interpolation in modelling polynomial functions and integral volume on the shape of Buginese and Makassarese traditional foods. Furthermore, it can be used by students as relevant learning resources regarding interpolation and the concept of volume of solid of revolution (VOSR). This is a qualitative study using an ethnographic approach. The data were collected through observations to obtain general information, interviews with informants to find out food-making techniques, and documentation to obtain physical models of each type of food. Data Analysis Techniques consist of the domain analysis to obtain an overview of Buginese and Makassarese traditional foods and the taxonomic analysis to categorize mathematical concepts obtained from the modeling and simulation. The result of this research reveals that lammang is suitable with the slabs. It can be represented as constant functions that revolved around the x-axis or the y-axis. While paso, bolu cukke, and cantik manis as well as barongko batara, Putu, and cucuru can be outlined in linear functions rotating about the x-axis, y-axis, or others fixed-line. They meet the criteria of the disks method. However, they are described in the function of polynomials of n-degree. The use of washers can be described in the model of blundered and sarang semut with a hole in the middle caused by the intersection of two curves rotated about the x-axis or the y-axis. For shells, the model can be applied to determine the cover volume of the cover of pisang ijo flour and onde-onde. Thus, all types of traditional foods in this study can be appropriate objects for a learning resource in modelling the VOSR.]]>
<![CDATA[Multivariate analysis on performance in statistics, self-efficacy and attitudes of senior high school students ]]>
<![CDATA[Mildin Jeminez Retutas]]>;
<![CDATA[Marilyn Torela Rubio]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 4 October 2021 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v6i4.14368
<![CDATA[Over the past few years, teaching and learning of statistics have been influenced by the emergence of the reform movement in education such as the K-12 basic education curriculum. Those of statistics concepts have changed both elementary and secondary level. Considering the educational reform in the Philippines, the study was conducted to determine whether there are significant differences of the determinants such as gender, type of school, parent’s educational level, family monthly income, family size and Senior High School track preference to students’ self-efficacy beliefs, attitudes towards Statistics, and performance in Statistics. The causal-comparative research design was used for comparing two or more groups to find the differences or determine whether the independent variable influences the dependent variable. The data were gathered from 570 senior high school students of both public and private schools in Mindanao, Region XI. The study adopted the questionnaires on self-efficacy beliefs and attitude towards Statistics while it utilized a researcher-made questionnaire for performance in Statistics. Multivariate Analysis of Variance (MANOVA) was used to determine whether multiple levels of independent variables on their own or in combination with one another influence the dependent variables. The findings revealed that among the demographic factors, only type of school has a significant difference to the self-efficacy beliefs, attitudes towards Statistics, and performance of senior high students in Statistics. Implications from the findings of this study might suggest that improving of K-12 school facilities by the school public administrators and collaborative effort of teachers to enhance the students’ self-efficacy, attitudes towards statistics and teaching statistics reveals optimistic results. Also, school administrators may provide opportunities for Statistics teachers to hone their pedagogical skills in promoting and building students’ self-confidence and interest in the subject.]]>
<![CDATA[Undergraduate basic sciences and engineering students’ understanding of the concept of derivative ]]>
<![CDATA[Saeid Haghjoo]]>;
<![CDATA[Ebrahim Reyhani]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 4 October 2021 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v6i4.14093
<![CDATA[Derivative is one of the most important topics in calculus that has many applications in various sciences. However, according to the research, students do not have a deep understanding of the concept of derivative and they often have misconceptions. The present study aimed to investigate undergraduate basic sciences and engineering students’ understanding of the concept of derivative at Tehran universities on based the framework of Zandieh. The method was descriptive-survey. The population included all undergraduate students of Tehran universities who passed Calculus I. The sample included 604 students being selected through multi-stage random cluster sampling. The measurement tool was a researcher-made test for which the reliability coefficient was obtained using Cronbach's alpha (r=.88). Inspired by Hähkiöniemi’s research, nine tasks on derivative learning were given to the students. The students’ responses were evaluated using a five-point Likert scale and analyzed using descriptive responses. The results indicated that students have no appropriate understanding of the basic concepts of derivatives in numerical, physical, verbal, and graphical contexts. Basic sciences students performed meaningfully were better in understanding the tangent line slope compared to engineering students, while engineering students performed meaningfully were better than basic sciences students in the rate of change.]]>
<![CDATA[Pre-service mathematics teachers’ nature of understanding of the tangent function ]]>
<![CDATA[Priestly Malambo]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 2 June 2020 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v5i2.10638
<![CDATA[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.]]>
<![CDATA[Can Mathematics and Statistics Perception Explain Students' Statistical Literacy? ]]>
<![CDATA[Risma Nurul Auliya]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 3, No. 2, July 2018 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v3i2.5983
<![CDATA[The aim of this research is intended to examine the effect of mathematics and statistics perception towards students’ statistical literacy. The research utilized a survey method with quantitative approach. The research population was undergraduate students from major informatics in one of university in Jakarta. The sample consisted of 80 students, 50 of students were male, while 30 of the students were female. All the participants belonged to similar grade level and enrolled in a statistics course. A survey instrument entitled “Mathematics and Statistics Perception Scale (MSPS)” was intended to examine undergraduate students’ perceptions of self-efficacy and their attitudes toward the application of statistics in real world settings. The initial scale consisted of 15 items and the final version consists of 11 items. A multiple-choice survey with 22 questions measuring statistical literacy skills and consisted of items measuring skills on interpreting or critiquing the prevalence of statistical phrases and ideas in the media. The data collected were analyzed using linear regression. The result of the analyses showed mathematics and statistics perception has an influence in the way students’ statistical literacy skills.]]>
<![CDATA[Early-years future teachers’ mathematical beliefs as determinants of performance in primary mathematics ]]>
<![CDATA[Adeneye Olarewaju Awofala]]>;
<![CDATA[Oludola Sarah Sopekan]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 1 February 2020 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v5i1.9433
<![CDATA[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.]]>
<![CDATA[Teaching and learning process for mathematization activities: The case of solving maximum and minimum problems ]]>
<![CDATA[Al Jupri]]>;
<![CDATA[Dian Usdiyana]]>;
<![CDATA[Ririn Sispiyati]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 2 April 2021 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v6i2.13263
<![CDATA[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.]]>
<![CDATA[A Secondary Student’s Problem Solving Ability in Learning Based on Realistic Mathematics with Ethnomathematics ]]>
<![CDATA[Farida Nursyahidah]]>;
<![CDATA[Bagus Ardi Saputro]]>;
<![CDATA[Maya Rini Rubowo]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 3, No. 1, January 2018 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v3i1.5607
<![CDATA[The aim of this research is to describe profile of problem solving ability of secondary students with high mathematical ability in learning based on realistic mathematics supported by ethnomathematics. This study is descriptive qualitative reasearch. The method of data collection used in this study are written test and interview. Subject of this study is secondary students on class VIIIA SMPN 37 Semarang. The data analysed in this study is problem solving ability which is suitable to problem solving ability of Polya and result of an interview to research subject. The result of this study is profile of problem solving ability of the high mathematical ability student is very good. The student problem solving ability starting from understanding the problem completely and make good planning to solve the problem, then he can do the correct process and produce the right answer. In addition, he could look back the process but still uncomplete yet. Furthermore, hopefully this result will help the teacher in choosing the appropriate strategy or instructional approach in order to improve the students problem solving ability.]]>
<![CDATA[Enhancing the Conceptual, Procedural and Flexible Procedural Knowledge of Pre-Service Mathematics Teachers in Algebra ]]>
<![CDATA[Wasiu Ismaila Otun]]>;
<![CDATA[Adetunji Abiola Olaoye]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 4, No. 2, July 2019 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v4i2.8363
<![CDATA[The study investigated the effects of Solve-Reflect-Pose Strategy (SRP) on pre-service mathematics teachers’ algebraic knowledge for teaching in Nigeria. A pre-test-post-test quasi experimental design was employed. Intact classes were used and in all, 182 pre-service mathematics teachers’ participated in the study (92 in the experimental group taught with the SRP and 90 in the control group taught using the Modified Conventional Method (MCM). One research instrument manipulated at three levels namely: Conceptual Knowledge Test (CKT), Procedural Knowledge Test (PKT) and Flexible Procedural Knowledge Test (FPKT), was used for the quantitative data and interview protocol for qualitative data. The two research questions formulated were analysed using descriptive statistics while independent sample t-test was used to analyse the two hypotheses. Results showed that there were statistically significant differences in the mean post-test achievement scores on conceptual knowledge test, procedural knowledge test and flexible procedural knowledge test between pre-service teachers exposed to the SRP and those exposed to the MCM, all in favour of the SRP group. Based on the results, SRP should be adopted as an instructional strategy and efforts should be made to integrate the philosophy of SRP into the pre-service teachers’ curriculum at the teacher-preparation institutions.]]>
<![CDATA[Contextual learning with Ethnomathematics in enhancing the problem solving based on thinking levels ]]>
<![CDATA[Andi Saparuddin Nur]]>;
<![CDATA[Stevanus Budi Waluya]]>;
<![CDATA[Rochmad Rochmad]]>;
<![CDATA[Wardono Wardono]]>
<![CDATA[ JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 5 Issue 3 October 2020 ]]>
Publisher : <![CDATA[Department of Mathematics Education, Universitas Muhammadiyah Surakarta ]]>
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DOI: 10.23917/jramathedu.v5i3.11679
<![CDATA[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]]>
