Bringing Out The Algebraic Character Of Arithmetic
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Bringing Out The Algebraic Character Of Arithmetic
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Author : Analúcia D. Schliemann
language : en
Publisher: Routledge
Release Date : 2006-08-29
Bringing Out The Algebraic Character Of Arithmetic written by Analúcia D. Schliemann and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-29 with Education categories.
Bringing Out the Algebraic Character of Arithmetic contributes to a growing body of research relevant to efforts to make algebra an integral part of early mathematics instruction, an area of studies that has come to be known as Early Algebra. It provides both a rationale for promoting algebraic reasoning in the elementary school curriculum and empirical data to support it. The authors regard Early Algebra not as accelerated instruction but as an approach to existing topics in the early mathematics curriculum that highlights their algebraic character. Each chapter shows young learners engaged in mathematics tasks where there has been a shift away from computations on specific amounts toward thinking about relations and functional dependencies. The authors show how young learners attempt to work with mathematical generalizations before they have learned formal algebraic notation. The book, suitable as a text in undergraduate or graduate mathematics education courses, includes downloadable resources with additional text and video footage on how students reason about addition and subtraction as functions; on how students understand multiplication when it is presented as a function; and on how children use notations in algebraic problems involving fractions. These three videopapers (written text with embedded video footage) present relevant discussions that help identify students' mathematical reasoning. The printed text in the book includes transcriptions of the video episodes in the CD-ROM. Bringing Out the Algebraic Character of Arithmetic is aimed at researchers, practitioners, curriculum developers, policy makers and graduate students across the mathematics education community who wish to understand how young learners deal with algebra before they have learned about algebraic notation.
Bringing Out The Algebraic Character Of Arithmetic Cd Rom
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Author : Analúcia Dias Schliemann
language : en
Publisher:
Release Date : 2007
Bringing Out The Algebraic Character Of Arithmetic Cd Rom written by Analúcia Dias Schliemann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Algebraic logic categories.
Bringing Out The Algebraic Character Of Arithmetic Cd Rom
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Author : Analúcia Dias Schliemann
language : en
Publisher:
Release Date : 2007
Bringing Out The Algebraic Character Of Arithmetic Cd Rom written by Analúcia Dias Schliemann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Algebraic logic categories.
Planting The Seeds Of Algebra 3 5
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Author : Monica Neagoy
language : en
Publisher: Corwin Press
Release Date : 2014-12-23
Planting The Seeds Of Algebra 3 5 written by Monica Neagoy and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-23 with Education categories.
'Planting the Seeds of Algebra, 3-5' will empower teachers with theoretical and practical knowledge about both the content and pedagogy of algebraic instruction, and shows them the different faces of algebra as it appears in the early grades.
Mathematical Literacy
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Author : Yvette Solomon
language : en
Publisher: Routledge
Release Date : 2008-12-15
Mathematical Literacy 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 2008-12-15 with Education categories.
Why do so many learners, even those who are successful, feel that they are outsiders in the world of mathematics? Taking the central importance of language in the development of mathematical understanding as its starting point, Mathematical Literacy explores students’ experiences of doing mathematics from primary school to university - what they think mathematics is, how it is presented to them, and what they feel about it. Building on a range of theory which focuses on community, knowledge, and identity, the author examines two particular issues: the relationship between language, learning, and mathematical knowledge, and the relationship between identity, equity, and processes of exclusion/inclusion. In this comprehensive and accessible book, the author extends our understanding of the process of gaining mathematical fluency, and provides tools for an exploration of mathematics learning across different groups in different social contexts. Mathematical Literacy’s analysis of how learners develop particular relationships with the subject, and what we might do to promote equity through the development of positive relationships, is of interest across all sectors of education—to researchers, teacher educators, and university educators.
Knowing And Teaching Elementary Mathematics
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Author : Liping Ma
language : en
Publisher: Routledge
Release Date : 2020-01-06
Knowing And Teaching Elementary Mathematics written by Liping Ma and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-06 with Education categories.
The 20th anniversary edition of this groundbreaking and bestselling volume offers powerful examples of the mathematics that can develop the thinking of elementary school children. Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. Along with the original studies of U.S. and Chinese teachers’ mathematical understanding, this 20th anniversary edition includes a new preface and a 2013 journal article by Ma, "A Critique of the Structure of U.S. Elementary School Mathematics" that describe differences in U.S. and Chinese elementary mathematics. These are augmented by a new series editor’s introduction and two key journal articles that frame and contextualize this seminal work.
Learning And Teaching Early Math
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Author : Douglas H. Clements
language : en
Publisher: Routledge
Release Date : 2014-05-23
Learning And Teaching Early Math written by Douglas H. Clements and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-23 with Education categories.
In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child’s level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • Incorporation of hundreds of recent research studies.
Mathematics Teachers At Work
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Author : Janine T. Remillard
language : en
Publisher: Routledge
Release Date : 2011-09-20
Mathematics Teachers At Work written by Janine T. Remillard and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-20 with Education categories.
This book compiles and synthesizes existing research on teachers’ use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on – but not restricted to – those materials developed in the 1990s in response to the NCTM’s Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.
Early Childhood Mathematics Education Research
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Author : Julie Sarama
language : en
Publisher: Routledge
Release Date : 2009-04-01
Early Childhood Mathematics Education Research written by Julie Sarama and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-01 with Education categories.
This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.
Teaching Secondary School Mathematics
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Author : Colleen Vale
language : en
Publisher: Routledge
Release Date : 2020-07-16
Teaching Secondary School Mathematics written by Colleen Vale and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-16 with Education categories.
Since its first publication, Teaching Secondary School Mathematics has established itself as one of the most respected and popular texts for both pre-service and in-service teachers. This new edition has been fully revised and updated to reflect the major changes brought about by the introduction of the Australian Curriculum: Mathematics, as well as discussing significant research findings, the evolution of digital teaching and learning technologies, and the implications of changes in education policies and practices. The mathematical proficiencies that now underpin the Australian curriculum -- understanding, fluency, problem solving and reasoning -- are covered in depth in Part 1, and a new section is devoted to the concept of numeracy. The chapter on digital tools and resources has been significantly expanded to reflect the growing use of these technologies in the classroom, while the importance of assessment is recognised with new material on assessment for learning and as learning, along with a consideration of policy development in this area. Important research findings on common student misconceptions and new and effective approaches for teaching key mathematical skills are covered in detail. As per the first edition readers will find a practical guide to pedagogical approaches and the planning and enactment of lessons together with enhanced chapters on teaching effectively for diversity, managing issues of inequality and developing effective relationships with parents and the community. This book is the essential pedagogical tool for every emerging teacher of secondary school mathematics. 'The text offers an excellent resource for all of those involved in the preparation of secondary mathematics teachers, with links to research literature, exemplars of classroom practices, and instructional activities that encourage readers to actively examine and critique practices within their own educational settings.' Professor Glenda Anthony, Institute of Education, Massey University 'A rich and engaging textbook that covers all of the important aspects of learning to become an effective secondary mathematics teacher. The second edition of this text ... is further enhanced with updated references to the Australian Curriculum, NAPLAN, STEM, current Indigenous, social justice and gender inequity issues, and the place of Australian mathematics curricula on the world stage.' Dr Christine Ormond, Senior Lecturer, Edith Cowan University