Download or read book The Place of Meaning in Mathematics written by William Arthur Brownell and published by . This book was released on 1972 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Place of Meaning in Mathematics Instruction written by William Arthur Brownell and published by . This book was released on 1972 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Meaning in Mathematics Education written by Jeremy Kilpatrick and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.
Download or read book Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and published by . This book was released on 2000-11-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of the cognitive science of mathematical ideas.
Download or read book The Words of Mathematics An Etymological Dictionary of Mathematical Terms in English written by Steven Schwartzman and published by American Mathematical Soc.. This book was released on 1994-12-31 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the orgins of over 1500 mathematical terms used in English. This book concentrates on where those terms come from and what their literal meanings are.
Download or read book Meaning in Mathematics written by John Polkinghorne and published by Oxford University Press. This book was released on 2011-05-19 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is mathematics invented or discovered? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? Famous mathematicians, mathematical physicists and philosophers of mathematics try to answer these questions in a series of accessible chapters that shed light on what mathematics really means.
Download or read book A New Mathematical and Philosophical Dictionary written by Peter Barlow and published by . This book was released on 1814 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book School Science and Mathematics written by and published by . This book was released on 1902 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Learning and Teaching Early Math written by Douglas H. Clements and published by Routledge. This book was released on 2014-05-23 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Math Instruction for Students with Learning Problems written by Susan Perry Gurganus and published by Taylor & Francis. This book was released on 2017-02-24 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math Instruction for Students with Learning Problems, Second Edition provides a research-based approach to mathematics instruction designed to build confidence and competence in pre- and in-service PreK–12 teachers. This core textbook addresses teacher and student attitudes toward mathematics, as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. The material is rich with opportunities for class activities and field extensions, and the second edition has been fully updated to reference both NCTM and CCSSM standards throughout the text and includes an entirely new chapter on measurement and data analysis.
Download or read book Philosophy of Mathematics written by Paul Benacerraf and published by Cambridge University Press. This book was released on 1984-01-27 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
Download or read book Mathematical Relationships in Education written by Laura Black and published by Routledge. This book was released on 2011-01-13 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: While demand for the mathematically literate citizen increases, many learners continue to reject mathematics and experience it as excluding and exclusive, even when they succeed at it. In exploring this phenomenon, this volume examines the ways in which learners form particular relationships with mathematics in the context of formal schooling.
Download or read book Mathematical Dictionary and Cyclopedia of Mathematical Science written by Charles Davies and published by . This book was released on 1865 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reference Sources for Small and Medium sized Libraries Eighth Edition written by Jack O'Gorman and published by American Library Association. This book was released on 2014-02-25 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on new reference sources published since 2008 and reference titles that have retained their relevance, this new edition brings O’Gorman’s complete and authoritative guide to the best reference sources for small and medium-sized academic and public libraries fully up to date. About 40 percent of the content is new to this edition. Containing sources selected and annotated by a team of public and academic librarians, the works included have been chosen for value and expertise in specific subject areas. Equally useful for both library patrons and staff, this resource Covers more than a dozen key subject areas, including General Reference; Philosophy, Religion, and Ethics; Psychology and Psychiatry; Social Sciences and Sociology; Business and Careers; Political Science and Law; Education; Words and Languages; Science and Technology; History; and Performing Arts Encompasses database products, CD-ROMs, websites, and other electronic resources in addition to print materials Includes thorough annotations for each source, with information on author/editor, publisher, cost, format, Dewey and LC classification numbers, and more Library patrons will find this an invaluable resource for current everyday topics. Librarians will appreciate it as both a reference and collection development tool, knowing it’s backed by ALA’s long tradition of excellence in reference selection.
Download or read book Mathematics Teachers in Transition written by Elizabeth Fennema and published by Routledge. This book was released on 2013-04-03 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the need of professional development leaders and policymakers for scholarly knowledge about influencing teachers to modify mathematical instruction to bring it more in alignment with the recommendations of the current reform movement initiated by the National Council of Teachers of Mathematics. The book presents: * theoretical perspectives for studying, analyzing, and understanding teacher change; * descriptions of contextual variables to be considered as one studies and attempts to understand teacher change; and * descriptions of professional development programs that resulted in teacher change. One chapter builds a rationale for looking to developmental psychology for guidance in constructing models of reconstructing new forms of mathematical instruction. Another highlights the relevance to mathematics teacher development of research-based knowledge about how children construct mathematical ideas. Other chapters explore the relationships between the various contexts of schooling and instructional change. Included also are chapters that describe and analyze major reform efforts designed to assist teachers in modifying their instructional practices (Cognitively Guided Instruction, Math-Cubed, Project Impact, Mathematics in Context, and the Case-Based Project). Finally, the current state of knowledge about encouraging teachers to modify their instruction is discussed, the implications of major research and implementation findings are suggested, and some of the major questions that need to be addressed are identified, such as what we have learned about teacher change.
Download or read book The Star of Redemption written by Franz Rosenzweig and published by University of Notre Dame Pess. This book was released on 1985-08-31 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Star of Redemption is widely recognized as a key document of modern existential thought and a significant contribution to Jewish theology in the twentieth century. An affirmation of what Rosenzweig called “the new thinking,” the work ensconces common sense in the place of abstract, conceptual philosophizing and posits the validity of the concrete, individual human being over that of “humanity” in general. Fusing philosophy and theology, it assigns both Judaism and Christianity distinct but equally important roles in the spiritual structure of the world, and finds in both biblical religions approaches toward a comprehension of reality.
Download or read book Proving in the Elementary Mathematics Classroom written by Andreas J. Stylianides and published by Oxford University Press. This book was released on 2016-07-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book addresses what it would take to elevate the place of proving at elementary school. The book uses classroom episodes from two countries to examine different kinds of proving tasks and the proving activity they can generate in the elementary classroom. It examines further the role of teachers in mediating the relationship between proving tasks and proving activity, including major mathematical and pedagogical issues that arise for teachers as they implement each kind of proving task. In addition to its contribution to research knowledge, the book has important implications for teaching, curricular resources, and teacher education.
