Download or read book Learning Counting and Cardinality Using Lego Bricks written by Shirley Disseler and published by Brigantine Media. This book was released on 2017-04-19 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In Learning Counting and Cardinality Using LEGO(R) Bricks, Dr. Shirley Disseler has developed activities that work to help students learn how to count and understand cardinality, using a common toy available in most classrooms and homes- LEGO(R) bricks! Number recitation is only the start of a child's true understanding of counting and cardinality. When students learn to count on, count back, skip-count, and use one-to-one correspondence, they develop a solid base of fluency with numbers. Even before they understand any other mathematical concepts, students can model the process of counting with LEGO(R) bricks to help visualize the math. In this book, the hands-on activities using LEGO(R) bricks help students learn: - pattern recognition - skip-counting - jump numbers - concepts of more than and less than - one-to-one correspondence The book starts at the most basic concepts and focuses on a specific topic in each chapter. Most students learn these concepts between grades K - 2. Using LEGO(R) bricks to model math provides a universal language. Children everywhere recognize this manipulative. It's fun to learn when you're using LEGO(R) bricks!

Download or read book Rethinking Disability and Mathematics written by Rachel Lambert and published by Corwin Press. This book was released on 2024-04-15 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every child has a right to make sense of math, and to use math to make sense of their worlds. Despite their gifts, students with disabilities are often viewed from a deficit standpoint in mathematics classrooms. These students are often conceptualized as needing to be fixed or remediated. Rethinking Disability and Mathematics argues that mathematics should be a transformative space for these students, a place where they can discover their power and potential and be appreciated for their many strengths. Author Rachel Lambert introduces Universal Design for Learning for Math (UDL Math), a way to design math classrooms that empowers disabled and neurodiverse students to engage in mathematics in ways that lead to meaningful and joyful math learning. The book showcases how UDL Math can open up mathematics classrooms so that they provide access to meaningful understanding and an identity as a math learner to a wider range of students. Weaved throughout the book are the voices of neurodiverse learners telling their own stories of math learning. Through stories of real teachers recognizing the barriers in their own math classrooms and redesigning to increase access, the book: Reframes students with disabilities from a deficit to an asset perspective, paving the way for trusting their mathematical thinking Offers equitable math instruction for all learners, including those with disabilities, neurodiverse students, and/or multilingual learners Applies UDL to the math classroom, providing practical tips and techniques to support students′ cognitive, affective, and strategic development Immerses readers in math classrooms where all students are engaged in meaningful mathematics, from special education day classes to inclusive general education classrooms, from grades K-8. Integrates research on mathematical learning including critical math content such as developing number sense and place value, fluency with math facts and operations, and understanding fractions and algebraic thinking. Explores critical issues such as writing IEP goals in math This book is designed for all math educators, both those trained as general education teachers and those trained as special education teachers. The UDL Math approach is adapted to work for all learners because everyone varies in how they perceive the world and in how they approach mathematical problem solving. When we rethink mathematics to include multiple ways of being a math learner, we make math accessible and engaging for a wider group of learners.

Download or read book Merging Numeracy with Literacy Practices for Equity in Multilingual Early Year Settings written by Robyn Jorgensen and published by Springer Nature. This book was released on 2022-01-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws on both in and out of school literacy practices with teachers and families to enhance the numeracy of early learners. It provides highly illustrative exemplars, targeted for learners up to approximately eight years of age whose home language differs from the language of instruction. It identifies the challenges faced by these learners and their families, and shares ways of building both literacy and numeracy skills for some of the vulnerable learners nationally and internationally. The book shares the outcomes and strategies for teaching mathematics to early years learners and highlights the importance of literacy practices for learners for whom the language of instruction is different from their home language. Readers will gain a practical sense of how to create contexts, classrooms and practices to scaffold these learners to build robust understandings of mathematics.

Download or read book Handbook of Bilingualism written by Judith F. Kroll and published by Oxford University Press. This book was released on 2009 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: How is language acquired when infants are exposed to multiple language input from birth and when adults are required to learn a second language after early childhood? How do adult bilinguals comprehend and produce words and sentences when their two languages are potentially always active and in competition with one another? What are the neural mechanisms that underlie proficient bilingualism? What are the general consequences of bilingualism for cognition and for language and thought? This handbook will be essential reading for cognitive psychologists, linguists, applied linguists, and educators who wish to better understand the cognitive basis of bilingualism and the logic of experimental and formal approaches to language science.

Download or read book Concepts of Matter in Science Education written by Georgios Tsaparlis and published by Springer Science & Business Media. This book was released on 2013-07-09 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together a wide collection of ideas, reviews, analyses and new research on particulate and structural concepts of matter, Concepts of Matter in Science Education informs practice from pre-school through graduate school learning and teaching and aims to inspire progress in science education. The expert contributors offer a range of reviews and critical analyses of related literature and in-depth analysis of specific issues, as well as new research. Among the themes covered are learning progressions for teaching a particle model of matter, the mental models of both students and teachers of the particulate nature of matter, educational technology, chemical reactions and chemical phenomena, chemical structure and bonding, quantum chemistry and the history and philosophy of science relating to the particulate nature of matter. The book will benefit a wide audience including classroom practitioners and student teachers at every educational level, teacher educators and researchers in science education. "If gaining the precise meaning in particulate terms of what is solid, what is liquid, and that air is a gas, were that simple, we would not be confronted with another book which, while suggesting new approaches to teaching these topics, confirms they are still very difficult for students to learn". Peter Fensham, Emeritus Professor Monash University, Adjunct Professor QUT (from the foreword to this book)

Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book An Invitation to Applied Category Theory written by Brendan Fong and published by Cambridge University Press. This book was released on 2019-07-18 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.

Download or read book The Child s Understanding of Number written by Rochel GELMAN and published by Harvard University Press. This book was released on 2009-06-30 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors report the results of some half dozen years of research into when and how children acquire numerical skills. They provide a new set of answers to these questions, and overturn much of the traditional wisdom on the subject. Table of Contents: 1. Focus on the Preschooler 2. Training Studies Reconsidered 3. More Capacity Than Meets the Eye: Direct Evidence 4. Number Concepts in the Preschooler? 5. What Numerosities Can the Young Child Represent? 6. How Do Young Children Obtain Their Representations of Numerosity? 7. The Counting Model 8. The Development of the How-To-Count Principles 9. The Abstraction and Order-Irrelevance Counting Principles 10. Reasoning about Number 11. Formal Arithmetic and the Young Child's Understanding of Number 12. What Develops and How Conclusions References Index Reviews of this book: The publication of this book may mark a sea change in the way that we think about cognitive development. For the past two decades, the emphasis has been on young children's limitations... Now a new trend is emerging: to challenge the original assumption of young children's cognitive incapacity. The Child's Understanding of Number represents the most original and provocative manifestation to date of this new trend. --Contemporary Psychology Reviews of this book: Here at last is the book we have been waiting for, or at any rate known we needed, on the young child and number. The authors are at once sophisticated in their own understanding of number and rich in psychological intuition. They present a wealth of good experiments to support and guide their intuitions. And all is told in so simple and unalarming a manner that even the most pusillanimous will be able to read with enjoyment. --Canadian Journal of Psychology

Download or read book Beyond Infinity written by Eugenia Cheng and published by Profile Books. This book was released on 2017-03-09 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Download or read book Infinity and the Mind written by Rudy Rucker and published by Bantam Books. This book was released on 1983-01-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."

Download or read book Diversity Dimensions in Mathematics and Language Learning written by Annemarie Fritz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-08 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wie hängen sprachliche und mathematische Entwicklung zusammen? Dieser Frage wird derzeit mit großem Interesse aus unterschiedlichen Perspektiven nachgegangen. Dieser Sammelband vereint Erkenntnisse aus Psychologie, Neurowissenschaften, Mathematikdidaktik, (Psycho-)Linguistik und Mehrsprachigkeitsforschung. Der interdisziplinäre Ansatz bietet einen umfassenden Blick auf den aktuellen Forschungsstand, dargestellt von national und international renommierten Forschenden. Das Buch gliedert sich in drei Teile. Der erste Teil „Modelle und Theorien“ fasst theoretische Überlegungen zusammen und stellt Strukturen für Forschung und Praxis bereit. Dieser Teil dient dazu, den Grundstein für die anderen Teile sowie für zukünftige Forschung zu legen. Der zweite Teil „Kindergartenalter“ sowie der dritte Teil „Grundschulalter“ decken empirische Befunde über die Korrelation zwischen Sprache und mathematischem Lernen in der jeweiligen Altersgruppe ab. Ein besonderer Fokus liegt hierbei auf dem Aspekt der Mehrsprachigkeit. Damit bietet dieser Sammelband eine große Bandbreite fachspezifischen Wissens für Bildungswissenschaftler*innen, Lehramtsstudierende, Psycholog*innen und Forschende zur Mehrsprachigkeit.

Download or read book Young Children s Play and Environmental Education in Early Childhood Education written by Amy Cutter-Mackenzie and published by Springer Science & Business Media. This book was released on 2014-01-18 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an era in which environmental education has been described as one of the most pressing educational concerns of our time, further insights are needed to understand how best to approach the learning and teaching of environmental education in early childhood education. In this book we address this concern by identifying two principles for using play-based learning early childhood environmental education. The principles we identify are the result of research conducted with teachers and children using different types of play-based learning whilst engaged in environmental education. Such play-types connect with the historical use of play-based learning in early childhood education as a basis for pedagogy. In the book ‘Beyond Quality in ECE and Care’ authors Dahlberg, Moss and Pence implore readers to ask critical questions about commonly held images of how young children come to construct themselves within social institutions. In similar fashion, this little book problematizes the taken-for-grantedness of the childhood development project in service to the certain cultural narratives. Cutter-Mackenzie, Edwards, Moore and Boyd challenge traditional conceptions of play-based learning through the medium of environmental education. This book signals a turning point in social thought grounded in a relational view of (environmental) education as experiential, intergenerational, interspecies, embodied learning in the third space. As Barad says, such work is based in inter-actions that can account for the tangled spaces of agencies. Through the deceptive simplicity of children’s play, the book stimulates deliberation of the real purposes of pedagogy and of schooling. Paul Hart, University of Regina, Canada

Download or read book Principles and Standards for School Mathematics written by and published by . This book was released on 2000 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.

Download or read book Project Based Learning in Elementary Classrooms written by Jean Lee and published by . This book was released on 2021-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Place Value written by David A. Adler and published by Holiday House. This book was released on 2016-02-15 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: You had better not monkey around when it comes to place value. The monkeys in this book can tell you why! As they bake the biggest banana cupcake ever, they need to get the amounts in the recipe correct. There’s a big difference between 216 eggs and 621 eggs. Place value is the key to keeping the numbers straight. Using humorous art, easy-to-follow charts and clear explanations, this book presents the basic facts about place value while inserting some amusing monkey business.

Download or read book Introduction to Deep Learning written by Sandro Skansi and published by Springer. This book was released on 2018-02-04 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a concise, accessible and engaging first introduction to deep learning, offering a wide range of connectionist models which represent the current state-of-the-art. The text explores the most popular algorithms and architectures in a simple and intuitive style, explaining the mathematical derivations in a step-by-step manner. The content coverage includes convolutional networks, LSTMs, Word2vec, RBMs, DBNs, neural Turing machines, memory networks and autoencoders. Numerous examples in working Python code are provided throughout the book, and the code is also supplied separately at an accompanying website. Topics and features: introduces the fundamentals of machine learning, and the mathematical and computational prerequisites for deep learning; discusses feed-forward neural networks, and explores the modifications to these which can be applied to any neural network; examines convolutional neural networks, and the recurrent connections to a feed-forward neural network; describes the notion of distributed representations, the concept of the autoencoder, and the ideas behind language processing with deep learning; presents a brief history of artificial intelligence and neural networks, and reviews interesting open research problems in deep learning and connectionism. This clearly written and lively primer on deep learning is essential reading for graduate and advanced undergraduate students of computer science, cognitive science and mathematics, as well as fields such as linguistics, logic, philosophy, and psychology.

Download or read book The Handbook of Mathematical Cognition written by Jamie I.D. Campbell and published by Psychology Press. This book was released on 2005-08-15 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.