International Journal of Mathematical Education in Science and Technology最新文献_第2页

Tasks in paper and digital environments: an exploratory qualitative study 纸质和数字环境中的任务:一项探索性质的研究

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-26 DOI: 10.1080/0020739x.2023.2268613

Alice Lemmo

{"title":"Tasks in paper and digital environments: an exploratory qualitative study","authors":"Alice Lemmo","doi":"10.1080/0020739x.2023.2268613","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2268613","url":null,"abstract":"AbstractThe use of digital technologies in teaching and learning processes has opened new and wide frontiers in mathematics education. Research in education moves towards teaching and learning (and assessing) twenty-first-century skills and computer-based testing seems an interesting possibility for assessing such skills. From this perspective, comparing computer-based with paper and pencil testing is an important issue for the educational community. It could allow us to better understand differences, innovations and weaknesses of classical assessing strategies and methods. The purpose of this study is to provide an example of the differences that can be found in migrating a task from one environment to another through a qualitative analysis of task and students’ solution processes. The sample involved in this study includes grade 6 and 8 students. The analysis shows that the environment migration process is not neutral: the tasks present differences. Students’ performances in the tasks are the same, but differences can be observed in solving processes. In particular, students of our sample differ in the mathematical resources applied, and in the assessing processes. In addition, it seems that students activate similar problem-solving processes as they become more familiar with the task and the environment in which it is administered.KEYWORDS: Computer-based assessmentcomparative studyqualitative analysistest mode effect Disclosure statementNo potential conflict of interest was reported by the author.Notes1 https://timssandpirls.bc.edu/timss2023/frameworks/pdf/T23_Frameworks_Ch1_Mathematics.pdf2 https://research.ncl.ac.uk/fasmed/","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":"3 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135017829","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

Calculus is the study of change, but differential equations students need help quantifying it 微积分是研究变化的学科，但学习微分方程的学生需要帮助来量化变化

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-26 DOI: 10.1080/0020739x.2023.2255205

Jennifer A. Czocher, Elizabeth Roan, Abigail Quansah, Andrew Baas

{"title":"Calculus is the study of change, but differential equations students need help quantifying it","authors":"Jennifer A. Czocher, Elizabeth Roan, Abigail Quansah, Andrew Baas","doi":"10.1080/0020739x.2023.2255205","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2255205","url":null,"abstract":"AbstractStudents exit calculus with understandings of change that want for conceptual depth and are disconnected from real-world contexts. In this paper, we present a problem that will develop their skills in using change concepts for learning differential equations through modelling. The problem comes from a qualitative study of how STEM majors approach and think about differential equations as models for real-world scenarios. Our purpose is to inform faculty who are using open, authentic, scenario-driven instructional materials about the ways their students think about what are often taken-for-granted concepts in advanced mathematics and to support faculty in ensuring their students get the most from their innovative instructional materials.KEYWORDS: Modellingdifferential equationsundergraduate educationconceptions of change Disclosure statementNo potential conflict of interest was reported by the authors.Notes1 In this paper, we share the task, its rationale, some supports and some samples of student work. It is not intended to be a research report, but we do provide some additional details on the qualitative methods used to generate the results in a supplement.2 The full Cancerous Mass and Weight Loss Problems, along with suggested prompts, are included in supplemental material, to help students reflect on their understanding of the developing model, are in a supplement.Additional informationFundingThis work was supported by the National Science Foundation under [grant number 1750813].","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":"18 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135017837","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

A gentle alert on the definitions of basic algebraic structures 对基本代数结构的定义稍加注意

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-24 DOI: 10.1080/0020739x.2023.2268060

Jonathan Hoseana

引用次数: 0

Issue 54-9: Covers and Table of Contents 第54-9期:封面和目录

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-21 DOI: 10.1080/0020739x.2023.2277093

引用次数: 0

Exploring the complexities of swapping the order of integration in double integrals 探索在二重积分中交换积分顺序的复杂性

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-21 DOI: 10.1080/0020739x.2023.2265948

Khemane Thabiso, Padayachee Pragashni, Shaw Corrinne

{"title":"Exploring the complexities of swapping the order of integration in double integrals","authors":"Khemane Thabiso, Padayachee Pragashni, Shaw Corrinne","doi":"10.1080/0020739x.2023.2265948","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2265948","url":null,"abstract":"AbstractThis article explores the conceptual challenges that engineering students encounter with double integrals in a vector calculus course. Drawing on previous literature and utilising APOS (Activity- Process- Objects- Schema) as a theoretical framework, this study investigates the difficulties that students face in understanding and applying double integrals. By analysing responses to a written test that assesses students’ conceptual understanding of double integrals and student responses in interviews, this research sheds light on specific areas where students struggle, such as curve sketching, identifying regions of integration and changing the order of integration. Swapping the order of integration in double integrals is the focus of this research study. The findings of this study have the potential to contribute to the enhancement of teaching and learning strategies for double integrals to better support engineering students’ conceptual comprehension and proficiency in this important mathematical concept.KEYWORDS: Double integralsorder of integrationconceptual understandingAPOS theory Disclosure statementNo potential conflict of interest was reported by the authors.","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":"93 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135512857","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

Table mountain delta: Reflect. Connect. Be inspired! 桌山三角洲:反射。连接。是启发!

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-21 DOI: 10.1080/0020739x.2023.2270241

Tracy S. Craig, Claire Blackman, Greg Oates

引用次数: 0

Transforming mathematical identity: changes in one international student’s positioning during first-year mathematics tutorials 转换数学身份:一名留学生在一年级数学辅导课中定位的变化

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-21 DOI: 10.1080/0020739x.2023.2259917

Kim Locke, Igor’ Kontorovich, Lisa Darragh

引用次数: 0

Coordinated topics as transitional enablers towards higher-level conceptualisations of the range concept 协调主题作为向范围概念的更高层次概念化过渡的推动者

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-21 DOI: 10.1080/0020739x.2023.2260790

Hamide Dogan

{"title":"Coordinated topics as transitional enablers towards higher-level conceptualisations of the range concept","authors":"Hamide Dogan","doi":"10.1080/0020739x.2023.2260790","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2260790","url":null,"abstract":"AbstractThis paper discusses findings from an ongoing study investigating mental mechanisms involved in the conceptualisation of linear transformations from the perspective of Action (A), Process (P), Object (O), and Schema (S) (APOS) theory. Data reported in this paper came from 44 first-year linear algebra students’ responses on a task regarding the range of a linear transformation. Our analysis revealed parallels between Levels/Stages of the range concept and the use of representations of matrix multiplications. More importantly, these representations appeared to have been the enablers of transitions from lower to higher APOS Stages for the range. Conversely, mental mechanisms employing other means showed little to no progressions, some, furthermore, revealed faulty knowledge structures.KEYWORDS: Linear transformationsrangeAPOS theorymental mechanismstransitional pointscoordinated topics AcknowledgementsWe thank the Editors and the reviewers for their valuable input towards the improvement of the earlier versions of the paper.Disclosure statementNo potential conflict of interest was reported by the author.Additional informationFundingThis material is based upon work supported by a grant from the University of Texas System and the Consejo Nacional de Ciencia y Tecnología de México (CONACYT). The opinions expressed are those of the authors and do not necessarily represent the views of these funding agencies.","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":"17 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135513356","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

Proof of the small angle approximation sin θ ≈ θ using the geometry and motion of a simple pendulum 用单摆的几何和运动证明小角近似sin θ≈θ

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-20 DOI: 10.1080/0020739x.2023.2258885

J. J. Bissell

引用次数: 0

Elementary proof of a theorem about hexagons with parallel opposite sides 六边形平行对边定理的初等证明

International Journal of Mathematical Education in Science and Technology Pub Date : 2023-10-19 DOI: 10.1080/0020739x.2023.2243944

Rolfdieter Frank, Heinz Schumann

引用次数: 1