Mathematical Knowledge in Teaching

Mathematical Knowledge in Teaching PDF Author: Tim Rowland
Publisher: Springer Science & Business Media
ISBN: 904819766X
Category : Education
Languages : en
Pages : 304

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Book Description
The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

Mathematical Knowledge in Teaching

Mathematical Knowledge in Teaching PDF Author: Tim Rowland
Publisher: Springer Science & Business Media
ISBN: 904819766X
Category : Education
Languages : en
Pages : 304

Get Book

Book Description
The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

Mathematical Knowledge for Primary Teachers

Mathematical Knowledge for Primary Teachers PDF Author: Jennifer Suggate
Publisher: Routledge
ISBN: 1135165009
Category : Education
Languages : en
Pages : 615

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Book Description
Now in its fourth edition, the bestselling text Mathematical Knowledge for Primary Teachers provides trainee teachers with clear information about the fundamental mathematical ideas taught in primary schools. With rigorous and comprehensive coverage of all the mathematical knowledge primary teachers need, the text goes beyond rules and routines to help readers deepen their understanding of mathematical ideas and increase their confidence in teaching these ideas. Fully updated to incorporate recommendations of the Williams review, new sections are included covering talk for learning in mathematics, with an emphasis placed on the language and vocabulary used in arithmetic contexts. Throughout the book, knowledge is linked to the TDA standards for Qualified Teacher Status, and features include: ‘Check’ questions to test the reader’s understanding ‘Challenges’, to increase teachers’ confidence and stretch their mathematical abilities ‘Links with the classroom’ to emphasise the relevance of ideas to the classroom context Straightforward coverage from theory to practice for all aspects of the Mathematics framework. The book is accompanied by e-resources, which contain further visual activities and support, designed to scaffold and support the reader’s own understanding. Essential reading for all practising and trainee primary teachers, this book is ideal for those who wish to increase their mathematical understanding and confidence in presenting mathematics in the classroom.

Understanding and Developing Science Teachers' Pedagogical Content Knowledge

Understanding and Developing Science Teachers' Pedagogical Content Knowledge PDF Author: J. John Loughran
Publisher: BRILL
ISBN: 9087903650
Category : Education
Languages : en
Pages : 238

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Book Description
There has been a growing interest in the notion of a scholarship of teaching. Such scholarship is displayed through a teacher’s grasp of, and response to, the relationships between knowledge of content, teaching and learning in ways that attest to practice as being complex and interwoven. Yet attempting to capture teachers’ professional knowledge is difficult because the critical links between practice and knowledge, for many teachers, is tacit. Pedagogical Content Knowledge (PCK) offers one way of capturing, articulating and portraying an aspect of the scholarship of teaching and, in this case, the scholarship of science teaching. The research underpinning the approach developed by Loughran, Berry and Mulhall offers access to the development of the professional knowledge of science teaching in a form that offers new ways of sharing and disseminating this knowledge. Through this Resource Folio approach (comprising CoRe and PaP-eRs) a recognition of the value of the specialist knowledge and skills of science teaching is not only highlighted, but also enhanced. The CoRe and PaP-eRs methodology offers an exciting new way of capturing and portraying science teachers’ pedagogical content knowledge so that it might be better understood and valued within the profession. This book is a concrete example of the nature of scholarship in science teaching that is meaningful, useful and immediately applicable in the work of all science teachers (preservice, in-service and science teacher educators). It is an excellent resource for science teachers as well as a guiding text for teacher education.

The Construction of New Mathematical Knowledge in Classroom Interaction

The Construction of New Mathematical Knowledge in Classroom Interaction PDF Author: Heinz Steinbring
Publisher: Springer Science & Business Media
ISBN: 0387242538
Category : Education
Languages : en
Pages : 242

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Book Description
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.

Building a Better Teacher: How Teaching Works (and How to Teach It to Everyone)

Building a Better Teacher: How Teaching Works (and How to Teach It to Everyone) PDF Author: Elizabeth Green
Publisher: W. W. Norton & Company
ISBN: 0393244156
Category : Education
Languages : en
Pages : 400

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Book Description
A New York Times Notable Book "A must-read book for every American teacher and taxpayer." —Amanda Ripley, author of The Smartest Kids in the World Launched with a hugely popular New York Times Magazine cover story, Building a Better Teacher sparked a national conversation about teacher quality and established Elizabeth Green as a leading voice in education. Green's fascinating and accessible narrative dispels the common myth of the "natural-born teacher" and introduces maverick educators exploring the science behind their art. Her dramatic account reveals that great teaching is not magic, but a skill—a skill that can be taught. Now with a new afterword that offers a guide on how to identify—and support—great teachers, this provocative and hopeful book "should be part of every new teacher’s education" (Washington Post).

Quantitative Measures of Mathematical Knowledge

Quantitative Measures of Mathematical Knowledge PDF Author: Jonathan Bostic
Publisher: Routledge
ISBN: 0429942249
Category : Education
Languages : en
Pages : 254

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Book Description
The aim of this book is to explore measures of mathematics knowledge, spanning K-16 grade levels. By focusing solely on mathematics content, such as knowledge of mathematical practices, knowledge of ratio and proportions, and knowledge of abstract algebra, this volume offers detailed discussions of specific instruments and tools meant for measuring student learning. Written for assessment scholars and students both in mathematics education and across educational contexts, this book presents innovative research and perspectives on quantitative measures, including their associated purpose statements and validity arguments.

Integrating Research on Teaching and Learning Mathematics

Integrating Research on Teaching and Learning Mathematics PDF Author: Elizabeth Fennema
Publisher: SUNY Press
ISBN: 9780791405222
Category : Mathematics
Languages : en
Pages : 242

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Book Description
During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.

Constructing Mathematical Knowledge

Constructing Mathematical Knowledge PDF Author: Paul Ernest
Publisher: Routledge
ISBN: 1136364722
Category : Education
Languages : en
Pages : 295

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Book Description
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.

Embedded Formative Assessment

Embedded Formative Assessment PDF Author: Dylan Wiliam
Publisher: Solution Tree Press
ISBN: 1936765012
Category : Education
Languages : en
Pages : 200

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Book Description
Formative assessment plays an important role in increasing teacher quality and student learning when it’s viewed as a process rather than a tool. Emphasizing the instructional side of formative assessment, this book explores in depth the use of classroom questioning, learning intentions and success criteria, feedback, collaborative and cooperative learning, and self-regulated learning to engineer effective learning environments for students.

How Chinese Acquire and Improve Mathematics Knowledge for Teaching

How Chinese Acquire and Improve Mathematics Knowledge for Teaching PDF Author: Yeping Li
Publisher: BRILL
ISBN: 9463512365
Category : Education
Languages : en
Pages : 314

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Book Description
How Chinese Acquire and Improve Mathematics Knowledge for Teaching takes a unique approach to present new research that views knowledge acquisition and improvement as part of teachers’ life-long professional learning process in China.