Infinity Journal最新文献_第3页

Proving geometry theorems: Student prospective teachers’ perseverance and mathematical reasoning 证明几何定理:学生准教师的毅力与数学推理

Infinity Journal Pub Date : 2023-09-22 DOI: 10.22460/infinity.v12i2.p377-392

Nyimas Aisyah, Ely Susanti, Meryansumayeka Meryansumayeka, Tatag Yuli Eko Siswono, Siti Mistima Maat

{"title":"Proving geometry theorems: Student prospective teachers’ perseverance and mathematical reasoning","authors":"Nyimas Aisyah, Ely Susanti, Meryansumayeka Meryansumayeka, Tatag Yuli Eko Siswono, Siti Mistima Maat","doi":"10.22460/infinity.v12i2.p377-392","DOIUrl":"https://doi.org/10.22460/infinity.v12i2.p377-392","url":null,"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.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136061996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The development of proton-electron math e-comic to improve special needs students’ mathematical concepts understanding 开发质子-电子数学电子漫画，提高特殊需要学生对数学概念的理解

Infinity Journal Pub Date : 2023-09-15 DOI: 10.22460/infinity.v12i2.p359-376

Yulyanti Harisman, None Fitrani Dwina, None Minora Longgom Nasution, None Mohd Hasril Amiruddin, None Hamdani Syaputra

{"title":"The development of proton-electron math e-comic to improve special needs students’ mathematical concepts understanding","authors":"Yulyanti Harisman, None Fitrani Dwina, None Minora Longgom Nasution, None Mohd Hasril Amiruddin, None Hamdani Syaputra","doi":"10.22460/infinity.v12i2.p359-376","DOIUrl":"https://doi.org/10.22460/infinity.v12i2.p359-376","url":null,"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.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135353886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Exploring students’ perceptions of private mathematics tutoring in three countries 探讨三个国家学生对私人数学辅导的看法

Infinity Journal Pub Date : 2023-09-11 DOI: 10.22460/infinity.v12i2.p339-358

Masitah Shahrill, Farida Nurhasanah, Sahar Abbas Ibrahim, Rully Charitas Indra Prahmana, Daniel Asamoah, Haryani Mohammad, Ai Len Gan

{"title":"Exploring students’ perceptions of private mathematics tutoring in three countries","authors":"Masitah Shahrill, Farida Nurhasanah, Sahar Abbas Ibrahim, Rully Charitas Indra Prahmana, Daniel Asamoah, Haryani Mohammad, Ai Len Gan","doi":"10.22460/infinity.v12i2.p339-358","DOIUrl":"https://doi.org/10.22460/infinity.v12i2.p339-358","url":null,"abstract":"This descriptive quantitative study explored secondary school students’ reasons for receiving or not receiving private mathematics tutoring. It also explored the prevalent teaching methods private mathematics tutors use. A questionnaire was adapted to collect data from 1,309 Year 7 to Year 12 students (ages 11 to 17 years) in three countries: Brunei, Indonesia, and Iraq. The results highlight that students may receive private mathematics tutoring to pass national examinations and improve examination scores. Teachers also adapt to teaching approaches that enable students to achieve these teaching and learning goals. This study provides an initial understanding of the common reasons and teaching methods used in private mathetics tutoring across different contexts that prioritise high-stakes examination culture. The results provide implications for how private mathematics tutoring can be used to support effective teaching and learning compared to the high-stakes reasons it seems it promotes. The results also accentuate the need for families and other stakeholders to reconsider private mathematics tutoring as an opportunity to remediate the challenges students encounter in their normal classroom instruction to improve student learning.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135981167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The profile of students' mathematical representation competence, self-confidence, and habits of mind through problem-based learning models 通过基于问题的学习模式，学生的数学表征能力、自信心和思维习惯的概况

Infinity Journal Pub Date : 2023-09-04 DOI: 10.22460/infinity.v12i2.p323-338

Ahmad Ahmad, Lukmanul Akhsani, Zulkifley Mohamed

引用次数: 0

Teaching measurement: The role of mathematics teachers' enacted PCK on gain in learner outcomes 教学测量:数学教师制定的PCK对学习者成果增益的作用

Infinity Journal Pub Date : 2023-08-21 DOI: 10.22460/infinity.v12i2.p307-322

H. Botha, Coréne Coetzee, Liezell Zweers

{"title":"Teaching measurement: The role of mathematics teachers' enacted PCK on gain in learner outcomes","authors":"H. Botha, Coréne Coetzee, Liezell Zweers","doi":"10.22460/infinity.v12i2.p307-322","DOIUrl":"https://doi.org/10.22460/infinity.v12i2.p307-322","url":null,"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.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126193228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Generalizations and analogical reasoning of junior high school viewed from Bruner's learning theory 从布鲁纳的学习理论看初中生的归纳与类比推理

Infinity Journal Pub Date : 2023-08-01 DOI: 10.22460/infinity.v12i2.p291-306

L. Angraini, Vahid Norouzi Larsari, Ilham Muhammad, Nia Kania

{"title":"Generalizations and analogical reasoning of junior high school viewed from Bruner's learning theory","authors":"L. Angraini, Vahid Norouzi Larsari, Ilham Muhammad, Nia Kania","doi":"10.22460/infinity.v12i2.p291-306","DOIUrl":"https://doi.org/10.22460/infinity.v12i2.p291-306","url":null,"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.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122695389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

Grade 10 Namibian learners' problem-solving skills in algebraic word problems 十年级纳米比亚学生解决代数字题的能力

Infinity Journal Pub Date : 2023-07-20 DOI: 10.22460/infinity.v12i2.p275-290

Hesekiel K. Iilonga, U. Ogbonnaya

引用次数: 0

Mathematics teacher educators’ noticing of pedagogical content knowledge on hierarchical classification of quadrilateral 数学教师教育工作者对四边形分层分类教学内容知识的注意

Infinity Journal Pub Date : 2023-07-18 DOI: 10.22460/infinity.v12i2.p261-274

R. Ekawati, A. W. Kohar, T. Siswono, A. Lukito, Kai-Lin Yang, K. Nisa'

{"title":"Mathematics teacher educators’ noticing of pedagogical content knowledge on hierarchical classification of quadrilateral","authors":"R. Ekawati, A. W. Kohar, T. Siswono, A. Lukito, Kai-Lin Yang, K. Nisa'","doi":"10.22460/infinity.v12i2.p261-274","DOIUrl":"https://doi.org/10.22460/infinity.v12i2.p261-274","url":null,"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.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131610355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Systematic literature review on the recent three-year trend mathematical representation ability in scopus database 对scopus数据库近三年数学表示能力趋势进行了系统的文献综述

Infinity Journal Pub Date : 2023-07-06 DOI: 10.22460/infinity.v12i2.p243-260

Rizki Wahyu Yunian Putra, S. Sunyono, Een Yayah Haenilah, H. Hariri, S. Sutiarso, Nurhanurawati Nurhanurawati, N. Supriadi

{"title":"Systematic literature review on the recent three-year trend mathematical representation ability in scopus database","authors":"Rizki Wahyu Yunian Putra, S. Sunyono, Een Yayah Haenilah, H. Hariri, S. Sutiarso, Nurhanurawati Nurhanurawati, N. Supriadi","doi":"10.22460/infinity.v12i2.p243-260","DOIUrl":"https://doi.org/10.22460/infinity.v12i2.p243-260","url":null,"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.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132455240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Towards numeracy literacy development: A single-case study on the use of the living book homeschooling model 迈向算术读写能力的发展:使用活书在家上学模式的个案研究

Infinity Journal Pub Date : 2023-07-05 DOI: 10.22460/infinity.v12i2.p225-242

Andi Harpeni Dewantara, F. Setiawati, S. Saraswati

{"title":"Towards numeracy literacy development: A single-case study on the use of the living book homeschooling model","authors":"Andi Harpeni Dewantara, F. Setiawati, S. Saraswati","doi":"10.22460/infinity.v12i2.p225-242","DOIUrl":"https://doi.org/10.22460/infinity.v12i2.p225-242","url":null,"abstract":"Public schools are not always believed to be able to support the development of an individual's potential comprehensively. Homeschooling, an educational program where students learn from home, is currently an alternative education. This study aims to reveal why parents choose to homeschool their children and describe how a homeschooler parent as a single tutor develops her child’s numeracy literacy skills in living book homeschooling. This research is a holistic single-case study with two subjects: a homeschooler (J) and his mother (UPL) as the tutor. Data were collected through in-depth interviews and document analysis of J’s learning activities. Thematic analysis with Atlas.ti software was employed. Findings reveal that the parents’ main reasons for homeschooling are dissatisfaction with public school instruction and flexibility to comprehensively develop homeschoolers’ skills. In addition, the integration of RME (Realistic Mathematics Education) in the living book homeschooling model is a very powerful support to students’ literacy numeracy development. Practically, there are three main strategies implemented; the use of real contexts and concrete teaching aids, as well as an emphasis on conceptual understanding and high-order thinking skills.","PeriodicalId":109878,"journal":{"name":"Infinity Journal","volume":"332 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115846107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0