Constructing Mathematical Knowledge
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Constructing Mathematical Knowledge
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Author : Paul Ernest
language : en
Publisher: Routledge
Release Date : 2012-10-12
Constructing Mathematical Knowledge written by Paul Ernest and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-12 with Education categories.
First published in 1994. This book and its companion volume, Mathematics, Education and Philosophy: An International Perspective are edited collections. Instead of the sharply focused concerns of the research monograph, the books offer a panorama of complementary and forward-looking perspectives. They illustrate the breadth of theoretical and philosophical perspectives that can fruitfully be brough to bear on the mathematics and education. The empathise of this book is on epistemological issues, encompassing multiple perspectives on the learning of mathematics, as well as broader philosophical reflections on the genesis of knowledge. It explores constructivist and social theories of learning and discusses the rile of the computer in light of these theories.
Constructing Mathematical Knowledge
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Author : Paul Ernest
language : en
Publisher: Routledge
Release Date : 2012-10-12
Constructing Mathematical Knowledge written by Paul Ernest and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-12 with Education categories.
First published in 1994. This book and its companion volume, Mathematics, Education and Philosophy: An International Perspective are edited collections. Instead of the sharply focused concerns of the research monograph, the books offer a panorama of complementary and forward-looking perspectives. They illustrate the breadth of theoretical and philosophical perspectives that can fruitfully be brough to bear on the mathematics and education. The empathise of this book is on epistemological issues, encompassing multiple perspectives on the learning of mathematics, as well as broader philosophical reflections on the genesis of knowledge. It explores constructivist and social theories of learning and discusses the rile of the computer in light of these theories.
The Construction Of New Mathematical Knowledge In Classroom Interaction
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Author : Heinz Steinbring
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03-22
The Construction Of New Mathematical Knowledge In Classroom Interaction written by Heinz Steinbring and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-22 with Education categories.
Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.
Constructing Mathematical Knowledge
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Author :
language : en
Publisher:
Release Date : 1994
Constructing Mathematical Knowledge written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
The Mathematics In Our Hands
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Author : Christina M Krause
language : en
Publisher: Springer
Release Date : 2016-01-08
The Mathematics In Our Hands written by Christina M Krause and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-08 with Education categories.
In her empirical study, Christina Krause investigates how gestures can contribute to epistemic processes in social interactions. She expands the traditional speech-based approach to analyzing social processes of constructing mathematical knowledge by employing a multimodal perspective. Adopting a semiotic approach, she takes into account two functions of gestures as signs used by the participants of the social interaction: the representational function concerns the ways in which gestures take part in referring to a mathematical object in processes of knowledge construction and the epistemic function relates to the ways in which they can contribute to the performance of collective epistemic actions. The results of this study reveal that gestures influence the epistemic process significantly more than previously thought and indicate factors underlying this influence.
Constructing Mathematical Knowledge Using Multiple Representations A Case Study Of A Grade One Teacher
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Author : Limin Jao
language : en
Publisher:
Release Date : 2009
Constructing Mathematical Knowledge Using Multiple Representations A Case Study Of A Grade One Teacher written by Limin Jao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
This study examined how an elementary teacher fostered student mathematical understanding and the strategies that she used to help students learn mathematical concepts. A case study of a Grade 1 teacher is described based on qualitative data from interviews and classroom observation sessions using a peer coaching model.The evidence from the study suggests that this teacher benefited from professional development opportunities to gain deeper insights regarding her teaching practices. There were five major findings: (1) enthusiasm for improving her practices was necessary to successfully meet her goals; (2) this teacher's role in the classroom was important to facilitate the construction of knowledge; (3) the classroom was an environment where her students felt safe; (4) a variety of tasks and strategies that students of varied abilities, interests and aptitudes can enjoy were used; and (5) multiple representations (including the use of manipulatives) were used to scaffold the construction of knowledge.
Construction Mathematics
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Author : Surinder Virdi
language : en
Publisher: Routledge
Release Date : 2014-03-21
Construction Mathematics written by Surinder Virdi and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-21 with Technology & Engineering categories.
Construction Mathematics is an introductory level mathematics text, written specifically for students of construction and related disciplines. Learn by tackling exercises based on real-life construction maths. Examples include: costing calculations, labour costs, cost of materials and setting out of building components. Suitable for beginners and easy to follow throughout. Learn the essential basic theory along with the practical necessities. The second edition of this popular textbook is fully updated to match new curricula, and expanded to include even more learning exercises. End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and three detailed assignments based on practical tasks give students the opportunity to apply all the knowledge they have gained. Construction Mathematics addresses all the mathematical requirements of Level 2 construction NVQs from City & Guilds/CITB and Edexcel courses, including the BTEC First Diploma in Construction. Additional coverage of the core unit Mathematics in Construction and the Built Environment from BTEC National Construction, Civil Engineering and Building Services courses makes this an essential revision aid for students who do not have Level 2 mathematics experience before commencing their BTEC National studies. This is also the ideal primer for any reader who wishes to refresh their mathematics knowledge before going into a construction HNC or BSc.
Constructing Mathematical Knowledge In The Malaysian Classroom
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Author : Noraini Idris
language : en
Publisher:
Release Date : 2004
Constructing Mathematical Knowledge In The Malaysian Classroom written by Noraini Idris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Constructing Mathematical Knowledge Building Numeracy Skills
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Author : Steven Nisbet
language : en
Publisher: SprintPrints
Release Date : 2009
Constructing Mathematical Knowledge Building Numeracy Skills written by Steven Nisbet and has been published by SprintPrints this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Mathematical Modelling Education And Sense Making
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Author : Gloria Ann Stillman
language : en
Publisher: Springer Nature
Release Date : 2020-05-14
Mathematical Modelling Education And Sense Making written by Gloria Ann Stillman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-14 with Education categories.
This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.