Foundations for the Future in Mathematics Education

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Publisher : Routledge
ISBN 13 : 1000149501
Total Pages : 437 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Foundations for the Future in Mathematics Education by : Richard A. Lesh

Download or read book Foundations for the Future in Mathematics Education written by Richard A. Lesh and published by Routledge. This book was released on 2020-10-07 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central question addressed in Foundations for the Future in Mathematics Education is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abilities that are emphasized in mathematics classrooms and tests, and those that are needed for success beyond school in the 21st century? This is an urgent question. In fields ranging from aeronautical engineering to agriculture, and from biotechnologies to business administration, outside advisors to future-oriented university programs increasingly emphasize the fact that, beyond school, the nature of problem-solving activities has changed dramatically during the past twenty years, as powerful tools for computation, conceptualization, and communication have led to fundamental changes in the levels and types of mathematical understandings and abilities that are needed for success in such fields. For K-12 students and teachers, questions about the changing nature of mathematics (and mathematical thinking beyond school) might be rephrased to ask: If the goal is to create a mathematics curriculum that will be adequate to prepare students for informed citizenship—as well as preparing them for career opportunities in learning organizations, in knowledge economies, in an age of increasing globalization—how should traditional conceptions of the 3Rs be extended or reconceived? Overall, this book suggests that it is not enough to simply make incremental changes in the existing curriculum whose traditions developed out of the needs of industrial societies. The authors, beyond simply stating conclusions from their research, use results from it to describe promising directions for a research agenda related to this question. The volume is organized in three sections: *Part I focuses on naturalistic observations aimed at clarifying what kind of “mathematical thinking” people really do when they are engaged in “real life” problem solving or decision making situations beyond school. *Part II shifts attention toward changes that have occurred in kinds of elementary-but-powerful mathematical concepts, topics, and tools that have evolved recently—and that could replace past notions of “basics” by providing new foundations for the future. This section also initiates discussions about what it means to “understand” the preceding ideas and abilities. *Part III extends these discussions about meaning and understanding—and emphasizes teaching experiments aimed at investigating how instructional activities can be designed to facilitate the development of the preceding ideas and abilities. Foundations for the Future in Mathematics Education is an essential reference for researchers, curriculum developers, assessment experts, and teacher educators across the fields of mathematics and science education.

Foundations for the Future in Mathematics Education

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Author :
Publisher : Routledge
ISBN 13 : 1000106292
Total Pages : 488 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Foundations for the Future in Mathematics Education by : Richard A. Lesh

Download or read book Foundations for the Future in Mathematics Education written by Richard A. Lesh and published by Routledge. This book was released on 2020-10-07 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central question addressed in Foundations for the Future in Mathematics Education is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abilities that are emphasized in mathematics classrooms and tests, and those that are needed for success beyond school in the 21st century? This is an urgent question. In fields ranging from aeronautical engineering to agriculture, and from biotechnologies to business administration, outside advisors to future-oriented university programs increasingly emphasize the fact that, beyond school, the nature of problem-solving activities has changed dramatically during the past twenty years, as powerful tools for computation, conceptualization, and communication have led to fundamental changes in the levels and types of mathematical understandings and abilities that are needed for success in such fields. For K-12 students and teachers, questions about the changing nature of mathematics (and mathematical thinking beyond school) might be rephrased to ask: If the goal is to create a mathematics curriculum that will be adequate to prepare students for informed citizenship—as well as preparing them for career opportunities in learning organizations, in knowledge economies, in an age of increasing globalization—how should traditional conceptions of the 3Rs be extended or reconceived? Overall, this book suggests that it is not enough to simply make incremental changes in the existing curriculum whose traditions developed out of the needs of industrial societies. The authors, beyond simply stating conclusions from their research, use results from it to describe promising directions for a research agenda related to this question. The volume is organized in three sections: *Part I focuses on naturalistic observations aimed at clarifying what kind of “mathematical thinking” people really do when they are engaged in “real life” problem solving or decision making situations beyond school. *Part II shifts attention toward changes that have occurred in kinds of elementary-but-powerful mathematical concepts, topics, and tools that have evolved recently—and that could replace past notions of “basics” by providing new foundations for the future. This section also initiates discussions about what it means to “understand” the preceding ideas and abilities. *Part III extends these discussions about meaning and understanding—and emphasizes teaching experiments aimed at investigating how instructional activities can be designed to facilitate the development of the preceding ideas and abilities. Foundations for the Future in Mathematics Education is an essential reference for researchers, curriculum developers, assessment experts, and teacher educators across the fields of mathematics and science education.

Teaching Mathematics to Elementary School Children

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Author :
Publisher :
ISBN 13 : 9780675206198
Total Pages : 396 pages
Book Rating : 4.2/5 (61 download)

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Book Synopsis Teaching Mathematics to Elementary School Children by : Douglas E. Cruikshank

Download or read book Teaching Mathematics to Elementary School Children written by Douglas E. Cruikshank and published by . This book was released on 1988-01-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Everybody Counts

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Publisher : National Academies Press
ISBN 13 : 0309185521
Total Pages : 128 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Everybody Counts by : National Research Council

Download or read book Everybody Counts written by National Research Council and published by National Academies Press. This book was released on 1989-01-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the key to opportunity. No longer only the language of science, mathematics is now essential to business, finance, health, and defense. Yet because of the lack of mathematical literacy, many students are not prepared for tomorrow's jobs. Everybody Counts suggests solutions. Written for everyone concerned about our children's education, this book discusses why students in this country do not perform well in mathematics and outlines a comprehensive plan for revitalizing mathematics education in America, from kindergarten through college. single copy, $8.95; 2-9 copies, $7.50 each; 10 or more copies, $6.95 each (no other discounts apply)

Everybody Counts

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Publisher : National Academies Press
ISBN 13 : 0309039770
Total Pages : 129 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Everybody Counts by : National Research Council

Download or read book Everybody Counts written by National Research Council and published by National Academies Press. This book was released on 1989-02-01 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the key to opportunity. No longer only the language of science, mathematics is now essential to business, finance, health, and defense. Yet because of the lack of mathematical literacy, many students are not prepared for tomorrow's jobs. Everybody Counts suggests solutions. Written for everyone concerned about our children's education, this book discusses why students in this country do not perform well in mathematics and outlines a comprehensive plan for revitalizing mathematics education in America, from kindergarten through college. single copy, $8.95; 2-9 copies, $7.50 each; 10 or more copies, $6.95 each (no other discounts apply)

Designs for Learning Environments of the Future

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Publisher : Springer Science & Business Media
ISBN 13 : 0387882790
Total Pages : 291 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Designs for Learning Environments of the Future by : Michael Jacobson

Download or read book Designs for Learning Environments of the Future written by Michael Jacobson and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few things are as certain as societal changes—and the pressing need for educators to prepare students with the knowledge and ways of thinking necessary for the challenges in a changing world. In the forward-thinking pages of Designs for Learning Environments of the Future, international teams of researchers present emerging developments and findings in learning sciences and technologies at the infrastructure, curricular, and classroom levels. Focusing on ideas about designing innovative environments for learning in areas such as biology, engineering, genetics, mathematics, and computer science, the book surveys a range of learning technologies being explored around the world—a spectrum as diverse as digital media, computer modeling, and 3D virtual worlds—and addresses challenges arising from their design and use. The editors’ holistic perspective frames these innovations as not only discrete technologies but as flexible learning environments that foster student engagement, participation, and collaboration. Contributors describe possibilities for teaching and learning in these and other cutting-edge areas: Working with hypermodels and model-based reasoning Using visual representations in teaching abstract concepts Designing strategies for learning in virtual worlds Supporting net-based collaborative teams Integrating innovative learning technologies into schools Developing personal learning communities Designs for Learning Environments of the Future will enhance the work of a wide range of professionals, including researchers and graduate students in the learning and cognitive sciences, and educators in the physical and social sciences.

Handbook of International Research in Mathematics Education

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Publisher : Routledge
ISBN 13 : 1135192839
Total Pages : 830 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Handbook of International Research in Mathematics Education by : Lyn D. English

Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.

Models and Modeling in Engineering Education

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Author :
Publisher : BRILL
ISBN 13 : 9087904045
Total Pages : 363 pages
Book Rating : 4.0/5 (879 download)

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Book Synopsis Models and Modeling in Engineering Education by :

Download or read book Models and Modeling in Engineering Education written by and published by BRILL. This book was released on 2008-01-01 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes how incorporating mathematical modeling activities and projects, that are designed to reflect authentic engineering experience, into engineering classes has the potential to enhance and tap the diverse strengths of students who come from a variety of backgrounds.

Theories of Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 3642007422
Total Pages : 650 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Theories of Mathematics Education by : Bharath Sriraman

Download or read book Theories of Mathematics Education written by Bharath Sriraman and published by Springer Science & Business Media. This book was released on 2009-10-13 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.

Digital Technologies in Designing Mathematics Education Tasks

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Author :
Publisher : Springer
ISBN 13 : 3319434233
Total Pages : 352 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Digital Technologies in Designing Mathematics Education Tasks by : Allen Leung

Download or read book Digital Technologies in Designing Mathematics Education Tasks written by Allen Leung and published by Springer. This book was released on 2016-10-12 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the role and potential of using digital technology in designing teaching and learning tasks in the mathematics classroom. Digital technology has opened up different new educational spaces for the mathematics classroom in the past few decades and, as technology is constantly evolving, novel ideas and approaches are brewing to enrich these spaces with diverse didactical flavors. A key issue is always how technology can, or cannot, play epistemic and pedagogic roles in the mathematics classroom. The main purpose of this book is to explore mathematics task design when digital technology is part of the teaching and learning environment. What features of the technology used can be capitalized upon to design tasks that transform learners’ experiential knowledge, gained from using the technology, into conceptual mathematical knowledge? When do digital environments actually bring an essential (educationally, speaking) new dimension to classroom activities? What are some pragmatic and semiotic values of the technology used? These are some of the concerns addressed in the book by expert scholars in this area of research in mathematics education. This volume is the first devoted entirely to issues on designing mathematical tasks in digital teaching and learning environments, outlining different current research scenarios.

Teaching Mathematics

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Publisher :
ISBN 13 : 9780190311537
Total Pages : pages
Book Rating : 4.3/5 (115 download)

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Book Synopsis Teaching Mathematics by : Dianne Siemon

Download or read book Teaching Mathematics written by Dianne Siemon and published by . This book was released on 2020-10-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: At the forefront of research in mathematics education, this new edition of Teaching Mathematics: Foundations to Middle Years continues to provide knowledge to future teachers of mathematics with the information and resources they need to help them prepare for the classroom. Following an evidence-based approach focused on identifying and reflecting on student reasoning, pre-service teachers are encouraged to develop a deep understanding of the big ideas in mathematics and the connections between them. Now in its third edition, this text has been revised extensively, with a new structure that points more directly to the learning progressions involved in developing a deep understanding of mathematics from the early to middle years of schooling. Interspersed throughout the text are activities and thought-provoking teaching scenarios for pre-service teachers to explore, whether individually, in groups or in the classroom. The authors' detailed knowledge of mathematics and mathematics teaching combines effectively with the book's teaching and learning features to help pre-service teachers develop the deep understanding of mathematics and the teaching and learning of mathematics needed to become confident, enthusiastic teachers of mathematics.

U.S. Doctorates in Mathematics Education

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821845844
Total Pages : 292 pages
Book Rating : 4.8/5 (458 download)

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Book Synopsis U.S. Doctorates in Mathematics Education by : Robert E. Reys

Download or read book U.S. Doctorates in Mathematics Education written by Robert E. Reys and published by American Mathematical Soc.. This book was released on 2008 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics education in the United States will be shaped at all levels by those who hold doctorates in the field. As professors, they influence the structure and content of university programs in mathematics education, where future teachers are prepared. As scholars, they engage in research and lead us to a deeper and better understanding of the field. This book is a detailed study of doctoral programs in mathematics education. It stems from a national conference sponsored by the National Science Foundation. It involved participants from across the United States, as well as Brazil, Japan, Norway, and Spain, and followed up the work of an earlier conference, published in One Field, Many Paths: U.S. Doctoral Programs in Mathematics Education (Volume 9 in this series). The book, as was the conference, is organized around several major questions, including: What is the core knowledge for doctoral students in mathematics education? What are the important issues and challenges in delivering doctoral programs? What can we learn about doctoral preparation by comparisons with other countries?What effect would accreditation of doctoral programs in mathematics education have on the profession?What next steps need to be addressed now? The book documents the wide range of ideas about doctoral programs in mathematics education and their varied features. It provides readers with current visions and issues concerning doctoral studies in the field and serves as a reminder that establishing stewards of the discipline of mathematics education is a continuing challenge.

Empowering Science and Mathematics Education in Urban Schools

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Publisher : University of Chicago Press
ISBN 13 : 0226037975
Total Pages : 215 pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Empowering Science and Mathematics Education in Urban Schools by : Edna Tan

Download or read book Empowering Science and Mathematics Education in Urban Schools written by Edna Tan and published by University of Chicago Press. This book was released on 2012-08-15 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Argues that teachers and schools should create hybrid third spaces--neither classroom nor home--in which underserved students can merge their personal worlds with those of math and science.

Words and Worlds

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Publisher : BRILL
ISBN 13 : 9087909381
Total Pages : 390 pages
Book Rating : 4.0/5 (879 download)

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Book Synopsis Words and Worlds by :

Download or read book Words and Worlds written by and published by BRILL. This book was released on 2009-01-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: n this book, the reader is invited to enter a strange world in which you can tell the age of the captain by counting the animals on his ship, where runners do not get tired, and where water gets hotter when you add it to other water. It is the world of a curious genre, known as "word problems" or "story problems".

Proof and Proving in Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 9400721293
Total Pages : 468 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Proof and Proving in Mathematics Education by : Gila Hanna

Download or read book Proof and Proving in Mathematics Education written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2012-06-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

Teaching Mathematics

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Publisher :
ISBN 13 : 9780190417390
Total Pages : 468 pages
Book Rating : 4.4/5 (173 download)

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Book Synopsis Teaching Mathematics by : Kakoma Luneta

Download or read book Teaching Mathematics written by Kakoma Luneta and published by . This book was released on 2018 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling Students' Mathematical Modeling Competencies

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Publisher : Springer Science & Business Media
ISBN 13 : 9400762712
Total Pages : 635 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Modeling Students' Mathematical Modeling Competencies by : Richard Lesh

Download or read book Modeling Students' Mathematical Modeling Competencies written by Richard Lesh and published by Springer Science & Business Media. This book was released on 2013-03-17 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.