'Thinking Mathematically' seeks to turn this familiar statement into a promise of opportunity and exploration. The examples provided offer both a contextual and procedural base that students can easily build upon.
Genre: Mathematics, Editor: Pearson College Division, Pages: 248 in PDF, Epub, Mobi, ISBN: 0273728911


The columnist for Slate's popular "Do the Math" celebrates the logical, illuminating nature of math in today's world, sharing in accessible language mathematical approaches that demystify complex and everyday problems.
Genre: Mathematics, Editor: , Pages: 468 in PDF, Epub, Mobi, ISBN: 9781594205224


How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
Genre: Education, Editor: Cambridge University Press, Pages: 457 in PDF, Epub, Mobi, ISBN: 9781107035706


A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
Genre: Education, Editor: Corwin Press, Pages: 344 in PDF, Epub, Mobi, ISBN: 9781544374840


This important book provides practical guidance for parents, teachers and other early years practitioners who are concerned with young children's musical development. The authors highlight the relationship between music and the development of communication, the expression of emotion and playfulness. They show how these three elements, in conjunction with musical activity and experience, underpin all future learning including the development of language. They go on to explore music as a subject in its own right and its role in supporting other areas of the curriculum. Insights from a wide range of research are presented in a way which makes them accessible to practitioners so that they can be used to inform and develop effective practice. Practitioners and parents are encouraged to have confidence in their own musical ability. The book provides a wide range of practical strategies and activities. It will show that everyone is capable of enjoying making music with young children and contributing to their future musical development.
Genre: Education, Editor: McGraw-Hill Education (UK), Pages: 170 in PDF, Epub, Mobi, ISBN: 9780335247097


Count along with Mother Duck as her ducklings try to waddle across the bridge. When a sudden gust of wind sweeps one of Mother Duck's ducklings into the river, she doesn't know what to do. With four ducklings on the bridge and one below, Mother Duck is torn as to which way to go. Suddenly, a second duck falls and Mother Duck grows more panicked. Should she stay on the bridge or fly down to her ducklings in the river? As she paces and frantically quacks, the remaining ducklings playfully plop one by one into the river until all of the siblings are happily floating along. Now that all five ducklings are safely in the water, Mother Duck flies down to join in the fun, relieved to have all her ducklings together again. Mem introduces young readers to the basic math principles of addition and subtraction.
Genre: Juvenile Fiction, Editor: Scholastic Inc., Pages: 32 in PDF, Epub, Mobi, ISBN: 9781338257342


Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.
Genre: Education, Editor: IAP, Pages: 1798 in PDF, Epub, Mobi, ISBN: 9781681232799


Written by an experienced teacher and teacher educator with widespread experience of teaching mathematics in the UK and internationally, Understanding and Teaching Primary Mathematics combines pedagogy and subject knowledge to build confidence and equip you with all the skills and know-how you need to successfully teach mathematics to children of any age. This 4th edition has been fully updated to reflect the latest research developments and initiatives in the field, including a brand-new chapter on ‘Mastery and mathematics’ and ‘The Singapore approach’ which reflects the current international interest in these approaches to learning and teaching mathematics. Extra features also include helpful callouts to the book’s revised and updated companion website, which offers a shared site with a range of resources relevant to both this book and its companion volume, Teaching for Mathematical Understanding. Stimulating, accessible and well-illustrated, with comprehensive coverage of subject knowledge and pedagogy, Understanding and Teaching Primary Mathematics is an essential purchase for trainee and practising teachers alike.
Genre: Education, Editor: Routledge, Pages: 308 in PDF, Epub, Mobi, ISBN: 9781000173826



Genre: Finance, Personal, Editor: , Pages: 926 in PDF, Epub, Mobi, ISBN: 1323898239


This unique comprehensive curriculum encourages students to learn mathematics by doing mathematics, by using and connecting mathematical ideas, and by actively increasing their understanding. MathScape: Seeing and Thinking Mathematically was developed by Education Development Center, Inc. with funding from the National Science Foundation. It is one of four middle school mathematics programs to receive a satisfactory rating from the American Association for the Advancement of Science (AAAS).
Genre: Juvenile Nonfiction, Editor: Glencoe/McGraw-Hill, Pages: 48 in PDF, Epub, Mobi, ISBN: 0762202173