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Jurnal Infinity
Published by STKIP Siliwangi Bandung
ISSN : 20896867     EISSN : 24609285     DOI : -
Core Subject : Education,
Education
Infinity Journal published by STKIP Siliwangi Bandung (IKIP Siliwangi) and Indonesian Mathematics Educators' Society (IMES) publishes original research or theoretical papers about teaching and learning in a mathematics education study program on current science issues.
Arjuna Subject : -
Articles 339 Documents
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Systematic literature review on the recent three-year trend mathematical representation ability in scopus database Rizki Wahyu Yunian Putra; Sunyono Sunyono; Een Yayah Haenilah; Hasan Hariri; Sugeng Sutiarso; Nurhanurawati Nurhanurawati; Nanang Supriadi
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p243-260

Abstract

Mathematical representation is essential as the gateway to mastering mathematical literacy. This literature study aims to determine the growth of students' mathematical representation abilities in the last three years. This literature study presents a literature review on the development of mathematical representations, including media, strategies, and measurement instruments to serve as the basis for future mathematical representations. The literature study method used is the SLR (Systematic Literature Review), utilizing a review procedure that refers to the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) framework in the period 2020 to 2022 because the growth in literature studies on mathematical representations is very significant and latest. Data were collected by reviewing 24 Scopus-indexed articles and proceedings from the Scopus database. The study's results reveal that from the 24 selected literature, it can be interpreted if the mathematical representation ability can be improved and fulfills the indicators of mathematical representation itself by providing innovation in media, strategies, and instruments in learning mathematics. The innovations provided can be in the form of technology integration (Geogebra), no longer conventional strategies (RME strategy), and instrument indicators of the representation itself. Thus the ability of students' mathematical representations is no longer included in the low category in solving mathematical problems.
Mathematics teacher educators’ noticing of pedagogical content knowledge on hierarchical classification of quadrilateral Rooselyna Ekawati; Ahmad Wachidul Kohar; Tatag Yuli Eko Siswono; Agung Lukito; Kai-Lin Yang; Khoirun Nisa
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p261-274

Abstract

This study aims to investigate mathematics teacher educators’ (MTE) knowledge in noticing preservice teachers’ pedagogical content knowledge (PCK) on the hierarchical classification of the quadrilateral. A multiple case study was conducted to analyze the responses of ten MTEs in an online moderated-forum group discussion (M-FGD) from their written work on the MTE-PCK test completed prior to the M-FGD. The PCK test consisted of two tasks: the task that examines MTEs’ knowledge to predict pre-service teachers’ reason in representing the hierarchical classification of quadrilateral in Venn diagrams, and the task that examines MTEs’ knowledge in making a flowchart as a recommendation to mathematics teacher to analyze the validity of quadrilateral classification. Results show that the MTEs indicate two considerations of noticing pre-service teachers’ PCK on the quadrilateral classification: by definition and properties of quadrilaterals and by the visual appearance of quadrilaterals. Despite this, 20% of them were indicated to perform a lack of understanding of the hierarchical classification of quadrilaterals, as indicated by invalid flowcharts of validating the hierarchical classification of the quadrilateral.
Grade 10 Namibian learners' problem-solving skills in algebraic word problems Hesekiel K. Iilonga; Ugorji I. Ogbonnaya
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p275-290

Abstract

This study investigated Grade 10 Namibian learners' problem-solving skills in algebraic word problems. A sample of 351 Grade 10 learners from ten secondary schools in the Ohangwena Region in Namibia participated in this study. The study followed a qualitative approach and adopted Polya's Problem-Solving Model as the framework. The data were collected using the Algebra Word Problem-solving Test and Interview. The findings showed that the learners needed better problem-solving skills in algebraic word problems. Only 6% and 7% of the learners showed an ability to understand the problems and devise a plan, respectively, while only 5% could carry out the plans. Based on the findings, it is recommended that teachers introduce learners to Polya's steps of problem-solving and incorporate word problems into mathematics teaching.
Teaching measurement: The role of mathematics teachers' enacted PCK on gain in learner outcomes Hanlie Botha; Corene Coetzee; Liezell Zweers
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p307-322

Abstract

Teaching is a challenging profession where teachers must create valuable learning opportunities to enhance learners’ conceptual understanding. Apart from mathematical content knowledge, teachers use their pedagogical content knowledge (PCK) that develops as they reflect on previously taught lessons and learner responses in assessments. International and national assessment studies showed that South African learners perform poorly in, among other topics, Measurement. Thus, we determined the gain in learner outcomes as revealed in a pre-and post-test on Measurement and studied one of the PCK domains, namely teachers’ enacted PCK as informed by the baseline assessment learner outcomes. The aim was to determine how teachers’ enacted PCK relate to learner outcomes. Underpinned by a social constructivist paradigm, the study used a mixed-method research approach. Data were gathered from a pre-and post-test written by 124 Grade 9 learners taught by two experienced mathematics teachers in a city school in South Africa. Findings revealed that although some improvements are evident after the topic has been taught, the test was still experienced as difficult by almost all the learners. However, from the observations, there is little evidence that the experienced teachers extensively used the baseline assessment outcomes to inform their teaching.
Mathematical representation: A bibliometric mapping of the research literature (2013–2022) Putra, Fredi Ganda; Lengkana, Dewi; Sutiarso, Sugeng; Nurhanurawati, Nurhanurawati; Saregar, Antomi; Diani, Rahma; Widyawati, Santi; Suparman, Suparman; Imama, Khoirunnisa; Umam, Rofiqul
Jurnal Infinity Vol 13 No 1 (2024): VOLUME 13, NUMBER 1, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v13i1.p1-26

Abstract

Mathematical representation ability is an essential skill for students to understand mathematical concepts. Many studies have been conducted regarding this ability, but it is necessary to map existing research to provide a clearer picture of future research topics. This study aims to provide a bibliometric review of trends using mathematical representation skills in mathematics teaching research. The method in this study is bibliometric analysis, which aims to analyze and classify bibliographic material by presenting representative summaries of the literature in the Scopus database. The search was carried out using the keyword "mathematical representation" and selecting "article title" in the search menu in the Scopus.com database. Perish or Publish (PoP) software analyzes the author's name, number of document citations, document title, year of publication, document source, publisher, and document type. The results showed 99 publications and 357 citations related to mathematical representations, where the number of publications and citations fluctuated. The application of learning models and approaches, computer media, and analysis of mathematical representations is a research trend related to this variable. Therefore, paying attention to mathematical representations in learning mathematics and using effective strategies to improve students' mathematical representation abilities is essential. The findings of this study indicate the need to develop syntax and learning media based on mathematical representations to strengthen students' mathematical abilities.
Generalizations and analogical reasoning of junior high school viewed from Bruner's learning theory Lilis Marina Angraini; Vahid Norouzi Larsari; Ilham Muhammad; Nia Kania
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p291-306

Abstract

Inductive reasoning has an important role in mathematics learning. It includes making generalizations and analogical reasoning. While a generalization explains the relationship between several concepts applied in more general situations, analogical reasoning compares two things. This research is qualitative and descriptive. It reviews and describes the mathematical reasoning abilities of junior high school students based on Bruner's learning theory. It was conducted at one of the junior high schools in Pekanbaru in the eighth grade in the 2022/2023 academic year, involving 70 students. The students were divided into three categories of prior mathematical knowledge: low, medium, and high. The instruments used to obtain data on how mathematical reasoning abilities relate to Bruner's learning theory in this study were (1) a test of mathematical reasoning abilities and 2) an interview guide. The results show that the average mathematical reasoning abilities of the eighth graders in this study were very high for the material on arithmetic sequences and series and low for the material on geometric sequences and series. However, the eight grade students' average generalizing and analogical reasoning abilities were quite good for both materials.
The profile of students' mathematical representation competence, self-confidence, and habits of mind through problem-based learning models Ahmad Ahmad; Lukmanul Akhsani; Zulkifley Mohamed
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p323-338

Abstract

Mathematics is an essential subject for students. Teachers, therefore, need to provide innovative learning that develops students' mathematical skills. This study was conducted to determine the effect of a problem-based learning (PBL) model on students' mathematical representation competencies, self-confidence, and habits of mind. It used a quantitative methodology and was conducted on eighth-grade students divided into an experimental class with a PBL model and a control class with a direct learning model. The results showed that the mathematical representation competencies of the students in the experimental class were better than those in the control class. Students' self-confidence and habits of mind also influenced their mathematical representation competencies. It shows that the PBL model positively affects students' mathematical representation competency, self-confidence, and habits of mind. Teachers can use the PBL model to develop their students' mathematical representation competencies by paying attention to students' self-confidence and habits of mind.
Combination of mathematical literacy with ethnomathematics: How to perspective sundanese culture Uba Umbara; Sufyani Prabawanto; Mohamad Gilar Jatisunda
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p393-414

Abstract

Mathematical literacy and ethnomathematics are the two main approaches to understanding mathematics in everyday life. Research on the two aspects should be conducted in an integrated manner. It is expected to be a reference for the development of urban mathematics education based on the social requirements of mathematics and individuals' mathematical competence in a cultural group. The primary goal of this research is to describe the Sundanese people's mathematical literacy through an ethnomathematical perspective. The research is focused on living equipment systems and technology, which is one of the elements of the seven universal culture elements. The study employed phenomenographic and ethnomethodological approaches with a realist ethnographic design. Participant observations and interviews were chosen as data collection techniques, while content analysis, triangulation, and identification of patterns were chosen as data analysis techniques. Ethnomathematics in living equipment systems and technology consists of counting, measuring, explaining, discovering, designing, and explaining activities. The results show that the ethnomathematics of the Sundanese community are relevant to the aspects of mathematical literacy consisting of content, context, and mathematical processes. The study's results emphasize that mathematical literacy and ethnomathematics cannot be separated from daily life.
Proving geometry theorems: Student prospective teachers’ perseverance and mathematical reasoning Nyimas Aisyah; Ely Susanti; Meryansumayeka Meryansumayeka; Tatag Yuli Eko Siswono; Siti Mistima Maat
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p377-392

Abstract

Proof of geometry is a topic that involves mathematical reasoning abilities and relates to perseverance involving hard work, the spirit of achievement, and self-confidence. The current important problem that occurs at this time is that students who are future teachers of mathematics still experience difficulties in compiling proofs, especially those who are not challenged to work hard. This qualitative research explores mathematics teacher candidates' reasoning abilities and perseverance in proving geometric theorems. Therefore, the research design used a case study. There were three participants in this study, and they were student prospective mathematics teachers' s taking geometry courses. Data were collected through working documents, open questionnaires, and semi-structured interviews and were analyzed using iterative techniques consisting of data condensation, data exposure, and verification. The study's results showed that students' prospective teachers did not prioritize proof in solving geometry problems, even though they worked hard to solve the problems independently until they were finished. The students' perseverance also impacts their mathematical reasoning in proving geometric theorems. Students with more hard work values tend to have more reasoning values. The results of this study have implications that there needs to be an effort from the teacher to get used to giving proof questions to support students' perseverance and mathematical reasoning abilities.
The development of proton-electron math e-comic to improve special needs students’ mathematical concepts understanding Yulyanti Harisman; Fitrani Dwina; Minora Longgom Nasution; Mohd Hasril Amiruddin; Hamdani Syaputra
Jurnal Infinity Vol 12 No 2 (2023): VOLUME 12, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v12i2.p359-376

Abstract

Technology-based learning media is still lacking for special needs students in mathematics. Based on observations and interviews with Special School (SLB) teachers, the learning media used were still monotonous, such as picture books and writing using a blackboard. This research aims to develop e-comic math using the App Pixton application, which is valid and practical for children with special needs in SLB. The research method used is Plomp model development research in the prototype development phase: self-evaluation, expert review, and one-to-one evaluation. The data collection instruments used were a questionnaire and mathematical concepts on addition and subtraction topics for students with special needs. The research subjects were 21 students and 5 teachers from 5 different special schools in 5 West Sumatra, Indonesia cities. The study results show that the media developed is valid and practical for students with deaf and intellectual disabilities. This research implies that teachers must be able to develop other IT-based learning media to help students with special needs learn mathematics like normal children.

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