Math Fact Fluency

Math Fact Fluency
Author: Jennifer Bay-Williams
Publisher: ASCD
Total Pages: 206
Release: 2019-01-14
Genre: Education
ISBN: 1416627227

This approach to teaching basic math facts, grounded in years of research, will transform students' learning of basic facts and help them become more confident, adept, and successful at math. Mastering the basic facts for addition, subtraction, multiplication, and division is an essential goal for all students. Most educators also agree that success at higher levels of math hinges on this fundamental skill. But what's the best way to get there? Are flash cards, drills, and timed tests the answer? If so, then why do students go into the upper elementary grades (and beyond) still counting on their fingers or experiencing math anxiety? What does research say about teaching basic math facts so they will stick? In Math Fact Fluency, experts Jennifer Bay-Williams and Gina Kling provide the answers to these questions—and so much more. This book offers everything a teacher needs to teach, assess, and communicate with parents about basic math fact instruction, including The five fundamentals of fact fluency, which provide a research-based framework for effective instruction in the basic facts. Strategies students can use to find facts that are not yet committed to memory. More than 40 easy-to-make, easy-to-use games that provide engaging fact practice. More than 20 assessment tools that provide useful data on fact fluency and mastery. Suggestions and strategies for collaborating with families to help their children master the basic math facts. Math Fact Fluency is an indispensable guide for any educator who needs to teach basic math facts.

Mathematics Learning in Early Childhood

Mathematics Learning in Early Childhood
Author: National Research Council
Publisher: National Academies Press
Total Pages: 399
Release: 2009-11-13
Genre: Education
ISBN: 0309147433

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Mathematics Their Way

Mathematics Their Way
Author: Mary Baratta-Lorton
Publisher: Addison Wesley Publishing Company
Total Pages: 0
Release: 1994-05
Genre:
ISBN: 9780201861532

The most popular activity-centered math curriculum in use today. Contains over 200 innovative math experiments. Revised sourcebook also features an index keying the sourcebook and summary newsletter.

Problem Solving in Mathematics Education

Problem Solving in Mathematics Education
Author: Peter Liljedahl
Publisher: Springer
Total Pages: 46
Release: 2016-06-27
Genre: Education
ISBN: 3319407309

This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.

Encyclopedia of Mathematics Education

Encyclopedia of Mathematics Education
Author: Stephen Lerman
Publisher: Springer
Total Pages: 916
Release: 2020-02-07
Genre: Education
ISBN: 9783030157883

The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.

Number Talks

Number Talks
Author: Sherry Parrish
Publisher: Math Solutions
Total Pages: 434
Release: 2010
Genre: Education
ISBN: 1935099116

"A multimedia professional learning resource"--Cover.

Tools and Mathematics

Tools and Mathematics
Author: John Monaghan
Publisher: Springer
Total Pages: 497
Release: 2016-04-18
Genre: Education
ISBN: 3319023969

This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games.

Models of the Mind

Models of the Mind
Author: Grace Lindsay
Publisher: Bloomsbury Publishing
Total Pages: 401
Release: 2021-03-04
Genre: Science
ISBN: 1472966457

The human brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For more than a century, a diverse array of researchers searched for a language that could be used to capture the essence of what these neurons do and how they communicate – and how those communications create thoughts, perceptions and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it. In Models of the Mind, author and computational neuroscientist Grace Lindsay explains how mathematical models have allowed scientists to understand and describe many of the brain's processes, including decision-making, sensory processing, quantifying memory, and more. She introduces readers to the most important concepts in modern neuroscience, and highlights the tensions that arise when the abstract world of mathematical modelling collides with the messy details of biology. Each chapter of Models of the Mind focuses on mathematical tools that have been applied in a particular area of neuroscience, progressing from the simplest building block of the brain – the individual neuron – through to circuits of interacting neurons, whole brain areas and even the behaviours that brains command. In addition, Grace examines the history of the field, starting with experiments done on frog legs in the late eighteenth century and building to the large models of artificial neural networks that form the basis of modern artificial intelligence. Throughout, she reveals the value of using the elegant language of mathematics to describe the machinery of neuroscience.

Language and Communication in Mathematics Education

Language and Communication in Mathematics Education
Author: Judit N. Moschkovich
Publisher: Springer
Total Pages: 268
Release: 2018-03-27
Genre: Education
ISBN: 3319750550

This book considers some of the outstanding questions regarding language and communication in the teaching and learning of mathematics – an established theme in mathematics education research, which is growing in prominence. Recent research has demonstrated the wide range of theoretical and methodological resources that can contribute to this area of study, including those drawing on cross-disciplinary perspectives influenced by, among others, sociology, psychology, linguistics, and semiotics. Examining language in its broadest sense to include all modes of communication, including visual and gestural as well as spoken and written modes, it features work presented and discussed in the Language and Communication topic study group (TSG 31) at the 13th International Congress on Mathematical Education (ICME-13). A joint session with participants of the Mathematics Education in a Multilingual and Multicultural Environment topic study group (TSG 32) enhanced discussions, which are incorporated in elaborations included in this book. Discussing cross-cutting topics it appeals to readers from a wide range of disciplines, such as mathematics education and research methods in education, multilingualism, applied linguistics and beyond.

Fundamental Constructs in Mathematics Education

Fundamental Constructs in Mathematics Education
Author: Sue Johnston-Wilder
Publisher: Routledge
Total Pages: 356
Release: 2004-01-22
Genre: Education
ISBN: 1134338902

Fundamental Constructs in Mathematics Education is a unique sourcebook crafted from classic texts, research papers and books in mathematics education. Linked together by the editors' narrative, the book provides a fascinating examination of, and insight into, key constructs in mathematics education and how they link together. The choice of constructs is based on (some of) the many constructs which have proved fruitful in research and which have informed choices made by teachers. The book is divided into two parts: learning and teaching. The first part includes views about how people learn - from Plato to Dewey, as well as constructivism, activity theory and French didactiques. The second part includes extracts concerned with initiating, sustaining and bringing to a conclusion learners' work on mathematical tasks. Fundamental Constructs in Mathematics Education provides access to a wide range of constructs in mathematics education and orients the reader towards important original sources.