Mathematical Action Structures Of Noticing

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Mathematical Action Structures Of Noticing

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Author :
language : en
Publisher: BRILL
Release Date : 2009-01-01

Mathematical Action Structures Of Noticing written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Education categories.

John Mason has been a prominent figure in the research field of mathematics education for several decades. His principal focus has been thinking about mathematical problems, supporting those who wish to foster and sustain their own thinking and the thinking of others. Among the many markers of his esteemed career was the 1984 publication of Thinking Mathematically (with Leone Burton and Kaye Stacey). It has become a classic in the field, having been translated into many languages and in use in countries around the world. Thinking Mathematically and other writings in his substantial body of work are used with advanced high school students, with pre-service and practicing teachers, and by researchers who are interested in the nature of doing and learning mathematics. This book is not, and at the same time is, a tribute to the enormous contributions made by Mason to mathematics education. It is not a tribute book because every chapter is a report of research and thinking by the authors, not simply a statement of appreciation. All engage with how others have taken Mason’s ideas forward to extend their own research and thinking. At the same time it is a tribute book. It is about how research and teaching has been inspired by Mason through his substantial opus and his vibrant presence in a network of mathematics educators.

Mathematics Teacher Noticing

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Author : Miriam Sherin
language : en
Publisher: Routledge
Release Date : 2011-02

Mathematics Teacher Noticing written by Miriam Sherin and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02 with Education categories.

This is the first book to examine research on mathematics teacher noticing---how teachers pay attention to and make sense of what happens in the complexity of instructional situations.

International Handbook Of Mathematics Teacher Education Volume 2

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Author :
language : en
Publisher: BRILL
Release Date : 2019-12-16

International Handbook Of Mathematics Teacher Education Volume 2 written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-16 with Education categories.

This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors look back beyond and within the last 10 years to establish the state-of-the-art and continuing and new trends in mathematics teacher and mathematics teacher educator education, and look forward regarding possible avenues for teachers, teacher educators, researchers, and policy makers to consider to enhance and/or further investigate mathematics teacher and teacher educator learning and practice, in particular. The volume editors provide introductions to each volume that highlight the subthemes used to group related chapters, which offer meaningful lenses to see important connections within and across chapters. Readers can also use these subthemes to make connections across the four volumes, which, although presented separately, include topics that have relevance across them since they are all situated in the common focus regarding mathematics teachers. Volume 2, Tools and Processes in Mathematics Teacher Education, describes and analyze various promising tools and processes, from different perspectives, aimed at facilitating the mathematics teacher learning and development. It provides insights of how mathematics teacher educators think about and approach their work with teachers. Thus, as the second volume in the series, it broadens our understanding of the mathematics teacher and their learning and teaching.

Mathematical Understanding For Secondary Teaching

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Author : M. Kathleen Heid
language : en
Publisher: IAP
Release Date : 2015-12-01

Mathematical Understanding For Secondary Teaching written by M. Kathleen Heid and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-01 with Education categories.

A perennial discussion about teacher development is the optimal content background for teachers. In recent years, that discussion has taken center stage in the work of mathematics education researchers, mathematicians, mathematics professional developers, and mathematics education policymakers. Much of the existing and prior work in this area has been directed toward mathematical knowledge for teaching at the elementary level. The work described in this volume takes a sometimes-neglected approach, focusing on the dynamic nature of mathematical understanding rather than on a stable description of mathematical knowledge, and on mathematics for secondary teaching rather than mathematics for teaching at the elementary level. The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-based response to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50 events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics that teachers could use—each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. We developed our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. We call the work practice-based because the MUST framework is based on actual events that we witnessed in our observations of secondary mathematics practice. Groups of mathematics teachers can use this volume to enhance their own understandings of secondary mathematics. School leaders and professional developers in secondary mathematics will find our MUST Framework and Situations useful as they work with teachers in enhancing and deepening their understanding of secondary mathematics. Mathematics teacher educators and mathematicians who teach mathematics to prospective and in-service secondary teachers will be able to couch their mathematical discussions in the Situations—examples that arise from secondary mathematics classrooms. They will be able to use this volume as they design courses and programs that enhance mathematics from the perspectives identified in the MUST framework. Policymakers and researchers can use our MUST framework as they consider the mathematics background needed by teachers.

Scripting Approaches In Mathematics Education

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Author : Rina Zazkis
language : en
Publisher: Springer
Release Date : 2017-10-30

Scripting Approaches In Mathematics Education written by Rina Zazkis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Education categories.

This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education. It provides an opportunity for script-writers to articulate their mathematical arguments and/or their pedagogical approaches. It further provides researchers with a corpus of narratives that can be analyzed using a variety of theoretical perspectives. Various chapters argue for the use of dialogical method and highlight its benefits and special features. The chapters examine both “low tech” implementations as well as the use of a technological platform, LessonSketch. The chapters present results of and insights from several recent studies, which utilized scripting in mathematics education research and practice.

The Practice Of Mathematics

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Author : Yvette Solomon
language : en
Publisher: Routledge
Release Date : 2013-08-21

The Practice Of Mathematics written by Yvette Solomon and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-21 with Psychology categories.

The psychological description and explanation of how children learn to work with numbers is dominated by the theories of Piaget. Yvette Solomon suggests an alternative approach to the child's conception of number.

Mathematical Encounters And Pedagogical Detours

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Author : Boris Koichu
language : en
Publisher: Springer Nature
Release Date : 2021-02-04

Mathematical Encounters And Pedagogical Detours written by Boris Koichu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-04 with Education categories.

This book explores the idea that mathematics educators and teachers are also problem solvers and learners, and as such they constantly experience mathematical and pedagogical disturbances. Accordingly, many original tasks and learning activities are results of personal mathematical and pedagogical disturbances of their designers, who then transpose these disturbances into learning opportunities for their students. This learning-transposition process is a cornerstone of mathematics teacher education as a lived, developing enterprise. Mathematical Encounters and Pedagogical Detours unfold the process and illustrate it by various examples. The book engages readers in original tasks, shares the results of task implementation and describes how these results inform the development of new tasks, which often intertwine mathematics and pedagogy. Most importantly, the book includes a dialogue between the authors based on the stories of their own learning, which triggers continuous exploration of learning opportunities for their students.

Quaternionic Structures In Mathematics And Physics

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Author : Stefano Marchiafava
language : en
Publisher: World Scientific
Release Date : 2001

Quaternionic Structures In Mathematics And Physics written by Stefano Marchiafava and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

During the last five years, after the first meeting on OC Quaternionic Structures in Mathematics and PhysicsOCO, interest in quaternionic geometry and its applications has continued to increase. Progress has been made in constructing new classes of manifolds with quaternionic structures (quaternionic Knhler, hyper-Knhler, hyper-complex, etc.), studying the differential geometry of special classes of such manifolds and their submanifolds, understanding relations between the quaternionic structure and other differential-geometric structures, and also in physical applications of quaternionic geometry. Some generalizations of classical quaternion-like structures (like HKT structures and hyper-Knhler manifolds with singularities) appeared naturally and were studied. Some of those results are published in this book. Contents: Hypercomplex Structures on Special Classes of Nilpotent and Solvable Lie Groups (M L Barberis); Twistor Quotients of HyperKnhler Manifolds (R Bielawski); Quaternionic Contact Structures (O Biquard); A New Construction of Homogeneous Quaternionic Manifolds and Related Geometric Structures (V Cortes); Quaternion Knhler Flat Manifolds (I G Dotti); A Canonical HyperKnhler Metric on the Total Space of a Cotangent Bundle (D Kaledin); Special Spinors and Contact Geometry (A Moroianu); Brane Solitons and Hypercomplex Structures (G Papadopoulos); Hypercomplex Geometry (H Pedersen); Examples of HyperKnhler Connections with Torsion (Y S Poon); A New Weight System on Chord Diagrams via HyperKnhler Geometry (J Sawon); Vanishing Theorems for Quaternionic Knhler Manifolds (U Semmelmann & G Weingart); Weakening Holonomy (A Swann); Special Knhler Geometry (A Van Proeyen); Singularities in HyperKnhler Geometry (M Verbitsky); and other papers. Readership: Researchers and graduate students in geometry, topology, mathematical physics and theoretical physics."

Effective Math Instruction

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Author : Jared Dupree
language : en
Publisher: Teacher Created Materials
Release Date : 2016-02-01

Effective Math Instruction written by Jared Dupree and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-01 with Education categories.

This easy-to-use classroom resource provides a series of lessons, templates, and exemplars for practical classroom application, and will help teachers understand the content standards and the mathematical practice standards in order to develop meaningful mathematics lessons. This book primarily focuses on teachers' procedural knowledge of standards implementation as they apply the information and resources presented in this book. Mathematical rigor in the classroom for students includes lessons that target conceptual knowledge, procedural knowledge, factual knowledge, meta-cognitive knowledge, and the application of this knowledge in context. It also includes opportunities for teachers to develop all three dimensions of rigor as it applies to the Common Core.

Researching Your Own Practice

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Author : John Mason
language : en
Publisher: Routledge
Release Date : 2002-11

Researching Your Own Practice written by John Mason and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11 with Education categories.

Teachers need to develop the art of noticing if they are to improve their practice and undertake successful research in their classrooms.