Journal on Mathematics Education最新文献_第10页

Beliefs, performance, and applicability of mathematics in learning for life: The multi-case study at secondary education institutes in Italy 数学在终身学习中的信念、表现和适用性:意大利中学教育机构的多案例研究

Journal on Mathematics Education Pub Date : 2022-02-12 DOI: 10.22342/jme.v13i1.pp51-68

Viviana Malvasi, J. Gil-Quintana

{"title":"Beliefs, performance, and applicability of mathematics in learning for life: The multi-case study at secondary education institutes in Italy","authors":"Viviana Malvasi, J. Gil-Quintana","doi":"10.22342/jme.v13i1.pp51-68","DOIUrl":"https://doi.org/10.22342/jme.v13i1.pp51-68","url":null,"abstract":"Our study stars with the aim of discovering if there is a relationship between the beliefs and perceptions that Italian High School students have towards mathematics and some factors as grade, macro area, type of school and academic performance. The methodological proposal that this study follows is based on the combination of quantitative and qualitative method. Regarding the quantitative design, the instrument used has been a survey filled out by 4845 students living in Italy. The qualitative methodology has focused on the discourse analysis of 12 in-depth interviews with the participation of secondary school teachers. Among the main results we found that the perception of mathematics as a useful subject just to count, calculate and measure can be considered among the causes of the decrease academic performance of the students of the Second Grade Secondary School compared to the Primary School, because many students consider utility of math just in its arithmetic aspect. In addition, while changes about beliefs by grade, macro area and type of school are not significant, we found correlations between some particular beliefs and performance in mathematics, confirming a connection between beliefs towards this discipline and academic performance. The novelty of our research is found in having specifically detected which are beliefs and perceptions related to academic performance. That opens the door for future research.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87161899","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

Exploring quantitative relationship through area conservation activity 通过区域保护活动探索数量关系

Journal on Mathematics Education Pub Date : 2022-02-11 DOI: 10.22342/jme.v13i1.pp31-50

P. Sari, S. Ng

{"title":"Exploring quantitative relationship through area conservation activity","authors":"P. Sari, S. Ng","doi":"10.22342/jme.v13i1.pp31-50","DOIUrl":"https://doi.org/10.22342/jme.v13i1.pp31-50","url":null,"abstract":"Algebra as a study of quantitative relationship is one of four conceptions of school algebra which serves as a foundation for the concept of function. However, there is still a lack of attention to this particular relationship, especially in early algebraic reasoning. This study aims to investigate how the aspect of quantitative relationship in early algebra can be explored through area conservation activities. Understanding area conservation is said to be fundamental in developing the concept of area measurement. In this study, a ten-year old pupil was observed during her involvement while comparing area of two polygons that can be decomposed into equivalent triangles. Data for this study include the pupil’s written artefacts, and video recordings of the activities and interviews. Findings from this study show that the area conservation activity has the potential to build the notion of quantitative relationships in early algebra. The quantitative relationship between the unit of measurement and the result of measurement of a shape can also be explored, that is, the smaller the unit of measurement, the larger the result of measurement. Hence, this study can provide a groundwork for further studies in the relation between quantitative relationship in algebra and area conservation in geometry at the elementary school level.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88841723","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: 2

Conceptualizing micro-adaptive teaching practices in content-specific ways: Case study on fractions 以特定内容的方式概念化微适应教学实践:分数案例研究

Journal on Mathematics Education Pub Date : 2022-02-08 DOI: 10.22342/jme.v13i1.pp1-30

Susanne Prediger, Kim Quabeck, Kirstin Erath

引用次数: 3

Integrating GeoGebra into the flipped learning approach to improve students' self-regulated learning during the covid-19 pandemic 将GeoGebra整合到翻转学习方法中，提高学生在covid-19大流行期间的自主学习能力

Journal on Mathematics Education Pub Date : 2022-01-28 DOI: 10.22342/jme.v13i1.pp69-86

N. Ishartono, Adi Nurcahyo, M. Waluyo, H. Prayitno, Millenia Hanifah

{"title":"Integrating GeoGebra into the flipped learning approach to improve students' self-regulated learning during the covid-19 pandemic","authors":"N. Ishartono, Adi Nurcahyo, M. Waluyo, H. Prayitno, Millenia Hanifah","doi":"10.22342/jme.v13i1.pp69-86","DOIUrl":"https://doi.org/10.22342/jme.v13i1.pp69-86","url":null,"abstract":"The Covid-19 pandemic has forced an immediate transition from face-to-face learning in classrooms to online learning, including math learning. Mathematics with abstract working objects is not easy to learn online. So, an excellent self-regulated learning ability is required. So far, many efforts have been made to improve self-regulated learning in mathematics learning. However, there are still gaps in improving students' self-regulated learning ability in online mathematics learning, especially in relation to the integration of GeoGebra into the Flipped Learning approach. The purpose of this study is to examine the effectiveness of integrating GeoGebra into the Flipped Learning approach to improve students' self-regulated learning ability in learning mathematics online during the Covid-19 pandemic. This research is a quasi-experimental study with a pretest-posttest control group design to compare the effectiveness of a GeoGebra-integrated Flipped Learning approach. A conventional Flipped Learning approach and a conventional learning approach increase students' self-regulated learning level in constructing their understanding of mathematical concepts during online learning in the Covid-19 pandemic. The study involved 60 students randomly selected from one of Indonesia's private universities. They were divided into three groups representing each approach. Pretest and posttest results were quantitatively analyzed using Normalized Gain (N-Gain) Score, Cohen's d effect size, and statistical descriptive. The analysis results revealed that GeoGebra-integrated Flipped Learning is more effective in increasing students' self-regulated learning level in online mathematics learning than the other two approaches. It is expected that the results of this study can provide insights into alternative solutions for improving the quality of online mathematics learning by increasing the level of self-regulated learning of students.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74511516","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: 19

MATHEMATICS ANXIETY AND ITS EFFECTS ON ENGINEERING STUDENTS’ PERFORMANCE DURING THE COVID 19 PANDEMIC 新冠肺炎疫情期间工科学生数学焦虑及其对成绩的影响

Journal on Mathematics Education Pub Date : 2021-12-17 DOI: 10.22342/jme.12.3.13205.547-562

Derling Jose Mendoza Velazco, Elizeth Mayrene Flores Hinostroza, Magda Francisca Cejas Martínez, Edith Josefina Liccione

{"title":"MATHEMATICS ANXIETY AND ITS EFFECTS ON ENGINEERING STUDENTS’ PERFORMANCE DURING THE COVID 19 PANDEMIC","authors":"Derling Jose Mendoza Velazco, Elizeth Mayrene Flores Hinostroza, Magda Francisca Cejas Martínez, Edith Josefina Liccione","doi":"10.22342/jme.12.3.13205.547-562","DOIUrl":"https://doi.org/10.22342/jme.12.3.13205.547-562","url":null,"abstract":"The research objective was to describe the levels of anxiety and their effects on performance manifested by the mathematics students of the engineering faculty of the National University of Chimborazo UNACH during the 2020-1 academic semester. The study is in the quantitative paradigm with a descriptive exploratory design. The total sample consisted of 120 students studying mathematics, which are at different levels and careers of the engineering faculty. The sample selection was of an intentional non-probabilistic type and had as inclusion criteria not having been diagnosed with an anxiety disorder. The Brief Anxiety Situations and Responses Inventory was applied (ASRI-B). The ASRI-B was sent to students by email to facilitate data collection. The two-factor ANOVA (mathematics and comprehension) uses to analyze the research results. It's allowed to find statistically significant differences in the grasp of the contents presented by the teachers in a virtual way for the cognitive and physiological response system and the general level of anxiety, as well as in situational areas of evaluation anxiety and anxiety in everyday situations, during the academic closure in the quarantine season due to the COVID-19 pandemic.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82129010","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

A PRAXEOLOGICAL ANALYSIS OF PRE-SERVICE ELEMENTARY TEACHER-DESIGNED MATHEMATICS COMICS 职前小学教师设计数学漫画的行动学分析

Journal on Mathematics Education Pub Date : 2021-12-17 DOI: 10.22342/jme.12.3.14143.563-580

Z. H. Putra, Dahnilsyah Dahnilsyah, Ayman Aljarrah

{"title":"A PRAXEOLOGICAL ANALYSIS OF PRE-SERVICE ELEMENTARY TEACHER-DESIGNED MATHEMATICS COMICS","authors":"Z. H. Putra, Dahnilsyah Dahnilsyah, Ayman Aljarrah","doi":"10.22342/jme.12.3.14143.563-580","DOIUrl":"https://doi.org/10.22342/jme.12.3.14143.563-580","url":null,"abstract":"Mathematical and didactic knowledge presented in mathematics textbooks and other resources, like mathematics comics (MCs), needs to be evaluated from a lens of appropriate theoretical framework in mathematics education before it can be used as a medium for teaching and learning mathematics.Therefore, this study investigates mathematical and didactic competencies that were reflected in MCs designed by pre-service elementary teachers. The framework for analysing mathematical knowledge embedded in these MCs is based on the Anthropological Theory of the Didactic, specifically a praxeology. This study utilized a content analysis technique within a qualitative approach. Thirteen MCs were analysed using a praxeological analysis; the type of task and techniques (praxis block) as well as the possible technology and theory (logos block). The findings demonstrate that the mathematical praxeologies embedded in MCs belong to five mathematical domains, namely numbers and operations; number theory; fractions, decimals, and percentages; ratio and proportion; as well as measurement. Additionally, the analysis revealed that seven of these MCs were related to a single domain, while the others belong to two or three mathematical domains. Concerning the mathematical praxeologies, most of MCs focus on presenting the practical blocks, the type of task and the techniques, while only a few could provide the theoretical lens to justify the practical blocks.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73610961","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

EXPLORING THE IMPLEMENTATION OF AN INTERVENTION FOR A PUPIL WITH MATHEMATICAL LEARNING DIFFICULTIES: A CASE STUDY 探讨对一名数学学习困难学生实施干预:个案研究

Journal on Mathematics Education Pub Date : 2021-10-21 DOI: 10.22342/jme.12.3.14473.531-546

Kin Eng Chin, S. Fu

{"title":"EXPLORING THE IMPLEMENTATION OF AN INTERVENTION FOR A PUPIL WITH MATHEMATICAL LEARNING DIFFICULTIES: A CASE STUDY","authors":"Kin Eng Chin, S. Fu","doi":"10.22342/jme.12.3.14473.531-546","DOIUrl":"https://doi.org/10.22342/jme.12.3.14473.531-546","url":null,"abstract":"This study presents a single case study of how a remedial mathematics teacher incorporated an instructional intervention into her teaching practices in order to teach counting to a pupil with mathematical learning difficulties. This new theory-driven intervention was developed by the authors of this study. Dyscalculia is a term which refers to a wide range of mathematical learning difficulties or disabilities. Dyscalculic pupils have a specific mathematics learning disorder with a core deficit in representing and processing of numerosity. They might not be able to recognise numerical quantities, performing counting and so on. Early supports such as interventions have a great potential in helping dyscalculic pupils to improve mathematical skills. However, there remains a lack of appropriate instructional scaffolds to help dyscalculic pupils to organise their learning structures by addressing both cognitive deficits and mathematical skills. The present study involves a primary school remedial teacher, Daisy, and an at-risk dyscalculic pupil, David, both pseudonyms. Data were collected through interviews, lesson observations, and reflective journals. The findings revealed that the proposed intervention improved the counting ability of the pupil.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89961106","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: 2

STUDENTS’ GROWING UNDERSTANDING IN SOLVING MATHEMATICS PROBLEMS BASED ON GENDER: ELABORATING FOLDING BACK 学生在解决基于性别的数学问题中理解的增长:阐述折叠

Journal on Mathematics Education Pub Date : 2021-09-20 DOI: 10.22342/jme.12.3.14267.507-530

Patmaniar Patmaniar, S. Amin, R. Sulaiman

{"title":"STUDENTS’ GROWING UNDERSTANDING IN SOLVING MATHEMATICS PROBLEMS BASED ON GENDER: ELABORATING FOLDING BACK","authors":"Patmaniar Patmaniar, S. Amin, R. Sulaiman","doi":"10.22342/jme.12.3.14267.507-530","DOIUrl":"https://doi.org/10.22342/jme.12.3.14267.507-530","url":null,"abstract":"Students’ previous knowledge at a superficial level is reviewed when they solve mathematical problems. This action is imperative to strengthen their knowledge and provide the right information needed to solve the problems. Furthermore, Pirie and Kieren's theory stated that the act of returning to a previous level of understanding is called folding back. Therefore, this descriptive-explorative study examines high school students' levels of knowledge in solving mathematics problems using the folding back method. The sample consists of 33 students classified into male and female groups, each interviewed to determine the results of solving arithmetic problems based on gender. The results showed differences in the level of students' understanding in solving problems. Male students carried out the folding back process at the level of image having, formalizing, and structuring. Their female counterparts conducted it at image-making, property noticing, formalizing, and observing. Subsequently, both participants were able to carry out understanding activities, including explaining information from a mathematical problem, defining the concept, having an overview of a particular topic, identifying similarities and differences, abstracting mathematical concepts, and understanding its ideas in accordance with a given problem. This study suggested that Pirie and Kieren's theory can help teachers detect the features of students’ understanding in solving mathematical problems.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79791405","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: 2

TURKISH PRE-SERVICE MATHEMATICS TEACHERS’ BELIEFS IN MULTIPLICATION 土耳其职前数学教师对乘法的信念

Journal on Mathematics Education Pub Date : 2021-09-17 DOI: 10.22342/jme.12.3.14440.469-486

Ifada Novikasari, Yuksel Dede

{"title":"TURKISH PRE-SERVICE MATHEMATICS TEACHERS’ BELIEFS IN MULTIPLICATION","authors":"Ifada Novikasari, Yuksel Dede","doi":"10.22342/jme.12.3.14440.469-486","DOIUrl":"https://doi.org/10.22342/jme.12.3.14440.469-486","url":null,"abstract":"Mathematics teachers’ beliefs play an important role in the mathematics teaching practices. However, the instruments used to measure the mathematics on certain contents are still limited. Thus, this study was conducted to develop a Multiplication Beliefs Questionnaire (MBQ) to identify and examine the profile of Turkish pre-service mathematics teachers’ beliefs. The samples of this study consisted of 414 four-year pre-service primary mathematics teachers from 18 different universities in Turkey collected using a convenience sampling technique. The validity of the questionnaire was analyzed using an exploratory factor analysis (EFA). We obtained four components of beliefs in multiplication covering, remote belief in multiplication (C1), multiplication operation belief in mathematics textbooks (C2), dynamic belief in multiplication learning (C3), and self-efficacy belief in multiplication problems (C4). The results showed that the pre-service mathematics teachers’ beliefs in components C1, C3, and C4 were positive, while component C2 was neutral. This study had an essential contribution to the mathematics literature since developing a questionnaire on multiplication distributed to the pre-service teachers. The previous studies showed that belief was subjective yet objectively influenced knowledge. Thus, identifying the pre-service teachers’ beliefs in teacher education may provide various benefits in reforming mathematics teaching.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79630310","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

MOTIVATION AND MATHEMATICS ACHIEVEMENT: A VIETNAMESE CASE STUDY 动机与数学成绩:越南个案研究

Journal on Mathematics Education Pub Date : 2021-09-13 DOI: 10.22342/jme.12.3.14274.449-468

L. T. Tran, T. S. Nguyen

{"title":"MOTIVATION AND MATHEMATICS ACHIEVEMENT: A VIETNAMESE CASE STUDY","authors":"L. T. Tran, T. S. Nguyen","doi":"10.22342/jme.12.3.14274.449-468","DOIUrl":"https://doi.org/10.22342/jme.12.3.14274.449-468","url":null,"abstract":"Motivation plays a critical role in engaging students to study mathematics and in improving their mathematics performance. The relationship between motivation and mathematics achievement has been discussed in the literature; however, research gaps exist in terms of empirical testing of the key aspects in the context of mathematics education in Vietnam. Therefore, the aim of this study is to address the research gaps by empirically examining the relationship between mathematics motivation and mathematics achievement among high school graduate students in Vietnam. This study adopted the academic motivation toward mathematics scale (AMTMS) for its questionnaire survey and data collection. Six hundred and eighty responses were received from high school graduate students. The data were subjected to structural equation modelling analysis. The current study generated several key findings. Amotivation has been proven to negatively affect mathematics achievement. However, introjected regulation, identified regulation and intrinsic motivation positively affect mathematics achievement. The findings emerging from the current study provide a strong theoretical foundation for improving mathematics achievement by encouraging teachers to improve motivational conditions in mathematics classes in Vietnam. The study discusses some strategies, such as how to foster mastery orientation and the application of effective technology, to improve mathematics achievement.","PeriodicalId":37090,"journal":{"name":"Journal on Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84142432","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: 8