Mathematics Enthusiast最新文献_第6页

A METHODOLOGICAL PROPOSAL FOR TEXTBOOK ANALYSIS 教科书分析的方法论建议

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1555

Marilena Bittar

{"title":"A METHODOLOGICAL PROPOSAL FOR TEXTBOOK ANALYSIS","authors":"Marilena Bittar","doi":"10.54870/1551-3440.1555","DOIUrl":"https://doi.org/10.54870/1551-3440.1555","url":null,"abstract":"Research on textbooks has been carried out in different countries and with different purposes, including a set of studies that seek to know what those books convey in their texts. This type of investigation gives a view of the textbook as something that gives materiality to the proposed curriculum as a way to approach the knowledge taught and/or to identify elements that contribute to understanding reasons for some learning difficulties and persistent errors. Since the early 2000s, I have guided research studies that seeks to understand what kind of mathematics is proposed in textbooks intended for Brazilian basic education and how it is proposed. After a few years of this work, I outlined a model for textbook analysis based on elements of the anthropological theory of the didactic. This model consists of the following, not necessarily linear, steps: constituting the corpus for the analysis, the modellation of mathematical praxeologies present in the Course part of the material, doing the mathematical analysis of the Activities Proposed, the modellation of Didactic Praxeologies, and Triangulating data. This text presents this model, illustrating it with research studies I supervised, showing the relevance of the model of analysis developed.","PeriodicalId":44703,"journal":{"name":"Mathematics Enthusiast","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70968380","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: 3

Passion-Driven Statistics: A course-based undergraduate research experience (CURE) 激情驱动的统计学:基于课程的本科生研究经验(CURE)

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1575

N. J. Spence, Rachel K. Anderson, Sherryse L. Corrow, Susan A. Dumais, L. Dierker

引用次数: 1

A tribute in honor of Ubiratan D’Ambrósio’s life and legacy 向乌比拉坦·丹布罗西奥的一生和遗产致敬

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1541

Jonei Cerqueira Barbosa

引用次数: 0

Agency and criticality in statistics teaching practices: the account of a teacher 统计学教学实践中的能动性与关键性:一位教师的叙述

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1558

Celi Espasandin Lopes, Nathalia Tornisiello Scarlassari

引用次数: 0

A Mathematics Pipeline to Student Success in Data Analytics through Course-Based Undergraduate Research 通过基于课程的本科生研究，帮助学生在数据分析方面取得成功的数学管道

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1573

Kristin P. Bennett, John S. Erickson, Amy Svirsky, Josephine C. Seddon

{"title":"A Mathematics Pipeline to Student Success in Data Analytics through Course-Based Undergraduate Research","authors":"Kristin P. Bennett, John S. Erickson, Amy Svirsky, Josephine C. Seddon","doi":"10.54870/1551-3440.1573","DOIUrl":"https://doi.org/10.54870/1551-3440.1573","url":null,"abstract":"This paper reports on Data Analytics Research (DAR), a course-based undergraduate research experience (CURE) in which undergraduate students conduct data analysis research on open real-world problems for industry, university, and community clients. We describe how DAR, offered by the Mathematical Sciences Department at Rensselaer Polytechnic Institute (RPI), is an essential part of an early low-barrier pipeline into data analytics studies and careers for diverse students. Students first take a foundational course, typically Introduction to Data Mathematics, that teaches linear algebra, data analytics, and R programming simultaneously using a project-based learning (PBL) approach. Then in DAR, students work in teams on open applied data analytics research problems provided by the clients. We describe the DAR organization which is inspired in part by agile software development practices. Students meet for coaching sessions with instructors multiple times a week and present to clients frequently. In a fully remote format during the pandemic, the students continued to be highly successful and engaged in COVID-19 research producing significant results as indicated by deployed online applications, refereed papers, and conference presentations. Formal evaluation shows that the pipeline of the single on-ramp course followed by DAR addressing real-world problems with societal benefits is highly effective at developing students' data analytics skills, advancing creative problem solvers who can work both independently and in teams, and attracting students to further studies and careers in data science.","PeriodicalId":44703,"journal":{"name":"Mathematics Enthusiast","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70968876","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

Employing College Geometry in Real-Life Settings 在现实生活中运用大学几何

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1582

Tetyana Berezovski

引用次数: 0

Power relations and the negotiation of meanings in a Community of Practice in the field of Mathematics Education 数学教育领域实践共同体中的权力关系与意义协商

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1556

Lilian Aragão da Silva, Andréia Maria Pereira de Oliveira

引用次数: 0

Investigating Preservice Mathematics Teachers’ Definitions, Formulas, and Graphs of Directly and Inversely Proportional Relationships 职前数学教师对正反比关系的定义、公式和图的调查

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1566

Muhammet Arıcan, Yasemin Kiymaz

{"title":"Investigating Preservice Mathematics Teachers’ Definitions, Formulas, and Graphs of Directly and Inversely Proportional Relationships","authors":"Muhammet Arıcan, Yasemin Kiymaz","doi":"10.54870/1551-3440.1566","DOIUrl":"https://doi.org/10.54870/1551-3440.1566","url":null,"abstract":"This study investigates 48 preservice middle school teachers’ formal textbook definitions, formulas, and graphs of the directly and inversely proportional relationships. The connections among these three types of representations and how preservice teachers’ representations differ according to the two relationships are also examined. The data of the study included the preservice teachers’ responses to a paper-and-pencil test with two items. An explanatory research design model was followed when developing this study. The study findings indicated the preservice teachers’ over-attention to the simultaneous increases and/or decreases when representing the directly and inversely proportional relationships. Only four preservice teachers stated in their definitions that the ratio was constant in the directly proportional relationship. Whereas none of them stated constant product in their inversely proportional definition. Although the preservice teachers were slightly better at writing the direct proportion formula than the inverse proportion formula, this difference was much greater in terms of drawing the direct and inverse proportion graphs. Sixty percent of the preservice teachers drew their inverse proportion graphs as linear with negative slopes. Moreover, the analysis showed that the preservice teachers’ definitions were not well-linked with their graphs and formulas. On the other hand, the preservice teachers who were better at providing correct formulas were also better at drawing the correct graphs. Implications for teaching and future study suggestions are discussed.","PeriodicalId":44703,"journal":{"name":"Mathematics Enthusiast","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70968603","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

It is necessary to know a specific mathematics to teach mathematics 要教数学，就必须懂得具体的数学

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1547

Jaqueline de Souza Pereira Grilo, Jonei Cerqueira Barbosa

引用次数: 0

Didactic Engineering (DE) and Professional Didactics (PD): A Proposal for Historical Eesearch in Brazil on Recurring Number Sequences 教学工程（DE）和专业教学（PD）——对巴西历史上递归数列研究的一个建议

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Mathematics Enthusiast Pub Date : 2022-01-01 DOI: 10.54870/1551-3440.1551

Francisco Régis Vieira Alves

{"title":"Didactic Engineering (DE) and Professional Didactics (PD): A Proposal for Historical Eesearch in Brazil on Recurring Number Sequences","authors":"Francisco Régis Vieira Alves","doi":"10.54870/1551-3440.1551","DOIUrl":"https://doi.org/10.54870/1551-3440.1551","url":null,"abstract":"The present work presents some examples of data originated from a set of investigations developed in Brazil, at the Federal Institute of Education, Science and Technology of the State of Ceará IFCE, in the context of teacher education, and the consideration of elements of a historical, mathematical, and evolutionary nature. Thus, from a perspective of theoretical complementarity involving the research elements derived from the notion of the didactic engineering for development and some assumptions of the French aspect of the professional didactics, two sets of data are discussed. The first set involved research carried out between 2017 and 2020. The second set considered involved studies still under development in Brazil, considering the period of 2020 2023. The historical landscape of investigation rests on considering the recurring number sequences of Fibonacci, Lucas, Pell, Jacobsthal, Coordonier or Padovan, Perrin, Mersenne, Oresme, Naraynna, and Leonardo. Furthermore, in a broad sense, the study aims to provide a learning scenario for the teacher, affected by a perspective of mathematical knowledge evolution, including the repercussions and applications with current technology.","PeriodicalId":44703,"journal":{"name":"Mathematics Enthusiast","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44458010","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