Download Free Visual Thinking in Mathematics PDF by Marcus Giaquinto Full Book and published by Oxford University Press. This book was released on 2007-07-05 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis.
Download Free Epistemological Beliefs and Critical Thinking in Mathematics PDF by Benjamin Rott Full Book and published by Springer Nature. This book was released on 2021-08-30 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Epistemological beliefs—i.e. beliefs on the nature of knowledge, its limits, sources, and justification—play an important role both in everyday life and in learning processes. This book comprises several studies dealing with such beliefs in the domain of mathematics; amongst others a qualitative interview study, and quantitative studies for which a new questionnaire has been developed. In this new instrument, belief position (e.g. “mathematical knowledge is certain” vs. “uncertain”) and belief argumentation (the way those positions are justified) are differentiated. Additionally, a test for mathematical critical thinking has been designed.The results show significant correlations between sophisticated belief argumentations and high scores in the critical thinking test, but no correlations regarding belief positions.
Download Free Uncovering Student Thinking in Mathematics PDF by Cheryl M. Rose Full Book and published by Corwin Press. This book was released on 2006-12-20 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appropriate for all grade levels, these 25 field-tested, easy-to-use mathematics assessment probes help teachers modify instruction by determining students' understanding of core mathematical concepts.
Download Free Uncovering Student Thinking About Mathematics in the Common Core, Grades 6-8 PDF by Cheryl Rose Tobey Full Book and published by Corwin Press. This book was released on 2013-10-03 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pinpoint and reverse math misconceptions with laser-like accuracy Quickly and reliably uncover common math misconceptions in Grades 6-8 with these convenient and easy-to-implement diagnostic tools! Bestselling authors Cheryl Tobey and Carolyn Arline provide 25 new assessment probes that pinpoint subconcepts within the new Common Core Standards for Mathematics to promote deep learning and expert math instruction--while learning is already underway. Completely CCSM aligned, these grade-specific probes eliminate the guesswork and help teachers: Systematically address conceptual and procedural mistakes Help students better understand areas of struggle Plan targeted instruction that covers Grades 6-8 CCSM mathematical processes and proficiencies
Download Free Ways to Think About Mathematics PDF by Steve Benson Full Book and published by Corwin Press. This book was released on 2004-10-05 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach.
Download Free Thinking and Learning About Mathematics in the Early Years PDF by Linda Pound Full Book and published by Routledge. This book was released on 2008-03-20 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can early years practitioners help young children to become not only numerate but aspiring mathematicians who love numbers, shapes and mathematical comparisons? The introduction of the Foundation Stage has led to practitioners seeking ways to teach maths which are more in line with the creative and playful ways young children learn other subjects. Linda Pound draws on current thinking about children's mathematical development to show how you can encourage and enhance the numeracy skills of any child in the early years by linking maths to every-day life situations and making it a playful and enjoyable cross-curricular activity. This highly practical and engaging text includes chapters on: why maths is often seen as 'hard' and what practitioners can do to help young children be more successful exploring shapes, space, measures and patterns how to make maths more fun and playful, using games, humour, stories and rhymes using music and dance to enhance mathematical understanding encouraging children to see the connection between maths and everyday experiences through, for example sorting, matching and guessing creating an environment for mathematical development, indoors and out Concluding with a chapter on how practitioners and parents can become more confident in their use of maths, this user-friendly text, packed full of ideas, is essential reading for practitioners in any early years setting. Students on Early Education courses will also find much here to inspire them.
Download Free Think Tank Library: Brain-Based Learning Plans for New Standards, Grades K–5 PDF by Paige Jaeger Full Book and published by ABC-CLIO. This book was released on 2014-12-04 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transform your library into a "think tank" by helping teachers create an active learning environment in which students question, investigate, synthesize, conclude, and present information based on Common Core standards. • Includes relevant, rigorous, fun, and field-tested lesson plans for multiple disciplines • Provides reproducible pages to allow librarians and teachers to easily use a lesson • Offers a K–5 scaffolding approach to teaching information literacy skills • Features graphical illustrations and practical schemas that explain, illustrate, and model how brain-based learning works
Download Free Think Tank Library: Brain-Based Learning Plans for New Standards, Grades 6–12 PDF by Mary Boyd Ratzer Full Book and published by ABC-CLIO. This book was released on 2015-01-22 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transform your library into a "think tank" by helping teachers create an active learning environment in which students question, investigate, synthesize, conclude, and present information based on Common Core standards. • Provides diverse, brain-friendly, and field-tested lesson plans that feature thinking targets, texts, and standards and enhance students' deep thinking skills • Presents a school-library focus driven by inquiry process and information literacy skills • Features graphical illustrations and practical schemas that explain, illustrate, and model how brain-based learning works • Includes an extensive, research-based bibliography
Download Free The Nature of Mathematical Thinking PDF by Robert J. Sternberg Full Book and published by Routledge. This book was released on 2012-10-12 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.
Download Free Supporting Mathematical Thinking PDF by Anne Watson Full Book and published by Routledge. This book was released on 2012-09-10 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: To what extent do curriculum subjects, particularly highly abstract ones such as Mathematics, have their own unique special needs? This book celebrates the work done by subject specialists in mainstream classrooms to promote inclusive practice. It describes new and creative ways of developing mathematical thinking among pupils. Each chapter demonstrates reflective minds at work, close observation of learners, willingness to understand the students’ thinking process and patient commitment to students over long periods of time. Features of the book include: how low-attaining students can think mathematically numeracy recovery task refusal in primary mathematics progression in written calculation strategies for division using graphic calculators with low-attaining pupils generalising arithmetic: an alternative to algebra learning support assistants in mathematics lessons inclusion and entitlement, equality of opportunity and quality of curriculum provision.
Download Free How Mathematicians Think PDF by William Byers Full Book and published by Princeton University Press. This book was released on 2010-04-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.
Download Free Mathematics Formative Assessment, Volume 2 PDF by Page Keeley Full Book and published by Corwin Press. This book was released on 2016-12-08 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This one-of-a-kind resource helps you build a bridge between your students’ initial ideas and correct mathematical thinking. Includes an annotated reference guide.
Download Free Handbook of Research on Critical Thinking and Teacher Education Pedagogy PDF by Robinson, Sandra P.A. Full Book and published by IGI Global. This book was released on 2019-04-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical thinking is an essential skill for learners and teachers alike. Therefore, it is essential that educators be given practical strategies for improving their critical thinking skills as well as methods to effectively provide critical thinking skills to their students. The Handbook of Research on Critical Thinking and Teacher Education Pedagogy examines and explains how new strategies, methods, and techniques in critical thinking can be applied to classroom practice and professional development to improve teaching and learning in teacher education and make critical thinking a tangible objective in instruction. This critical scholarly publication helps to shift and advance the debate on how critical thinking should be taught and offers insights into the significance of critical thinking and its effective integration as a cornerstone of the educational system. Highlighting topics such as early childhood education, curriculum, and STEM education, this book is designed for teachers/instructors, instructional designers, education professionals, administrators, policymakers, researchers, and academicians.
Download Free Teaching Mathematics Creatively PDF by Linda Pound Full Book and published by Routledge. This book was released on 2021-09-30 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated third edition offers a range of strategies, activities and ideas to bring mathematics to life in the primary classroom. Taking an innovative and playful approach to maths teaching, this book promotes creativity as a key element of practice and offers ideas to help your students develop knowledge, understanding and enjoyment of the subject. In the creative classroom, mathematics becomes a tool to build confidence, develop problem solving skills and motivate children. The fresh approaches explored in this book include a range of activities such as storytelling, music and construction, elevating maths learning beyond subject knowledge itself to enable students to see mathematics in a new way. Key chapters of this book explore: • Learning maths outdoors - make more noise, make more mess or work on a larger scale • Everyday maths - making sense of the numbers, patterns, shapes and measures children see around them • Music and maths – the role of rhythm in learning, and music and pattern in maths Stimulating, accessible and underpinned by the latest research and theory, this is essential reading for trainee and practising teachers who wish to embed creative approaches to maths teaching in their classroom.
Download Free The First Sourcebook on Nordic Research in Mathematics Education PDF by Bharath Sriraman Full Book and published by IAP. This book was released on 2010-09-01 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First Sourcebook on Nordic Research in Mathematics Education: Norway, Sweden, Iceland, Denmark and contributions from Finland provides the first comprehensive and unified treatment of historical and contemporary research trends in mathematics education in the Nordic world. The book is organized in sections co-ordinated by active researchers in mathematics education in Norway, Sweden, Iceland, Denmark, and Finland. The purpose of this sourcebook is to synthesize and survey the established body of research in these countries with findings that have influenced ongoing research agendas, informed practice, framed curricula and policy. The sections for each country also include historical articles in addition to exemplary examples of recently conducted research oriented towards the future. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside the Nordic countries.
Download Free Teaching Mathematics through Problem-Solving in K–12 Classrooms PDF by Matthew Oldridge Full Book and published by Rowman & Littlefield. This book was released on 2018-10-31 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how problems can be the vehicle for learning mathematics itself, and presents a comprehensive pedagogy based on classroom discourse, assessment, critical and creative thinking.
Download Free Oral Storytelling and Teaching Mathematics PDF by Michael Schiro Full Book and published by SAGE. This book was released on 2004-03-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oral Story Telling And Teaching Mathematics provides the first serious exploration of the role that oral storytelling can play in helping children learn mathematics. It should be of interest to those concerned with providing children with powerful mathematical and literary experiences and those concerned with multicultural education. An accompanying CD-ROM contains the full text of two epic stories plus addition worksheets and handouts.