Download or read book Mathematical Reasoning of Children and Adults written by Alina Galvão Spinillo and published by Springer Nature. This book was released on 2021-05-24 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book adopts an interdisciplinary approach to investigate the development of mathematical reasoning in both children and adults and to show how understanding the learner’s cognitive processes can help teachers develop better strategies to teach mathematics. This contributed volume departs from the interdisciplinary field of psychology of mathematics education and brings together contributions by researchers from different fields and disciplines, such as cognitive psychology, neuroscience and mathematics education. The chapters are presented in the light of the three instances that permeate the entire book: the learner, the teacher, and the teaching and learning process. Some of the chapters analyse the didactic challenges that teachers face in the classroom, such as how to interpret students' reasoning, the use of digital technologies, and their knowledge about mathematics. Other chapters examine students' opinions about mathematics, and others analyse the ways in which students solve situations that involve basic and complex mathematical concepts. The approaches adopted in the description and interpretation of the data obtained in the studies documented in this book point out the limits, the development, and the possibilities of students' thinking, and present didactic and cognitive perspectives to the learning scenarios in different school settings. Mathematical Reasoning of Children and Adults: Teaching and Learning from an Interdisciplinary Perspective will be a valuable resource for both mathematics teachers and researchers studying the development of mathematical reasoning in different fields, such as mathematics education, educational psychology, cognitive psychology, and developmental psychology.

Download or read book Key Ideas in Teaching Mathematics written by Anne Watson and published by Oxford University Press, USA. This book was released on 2013-02-21 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: International research is used to inform teachers and others about how students learn key ideas in higher school mathematics, what the common problems are, and the strengths and pitfalls of different teaching approaches. An associated website, hosted by the Nuffield Foundation, gives summaries of main ideas and access to sample classroom tasks.

Download or read book A Focus on Addition and Subtraction written by Caroline B. Ebby and published by Routledge. This book was released on 2020-11-23 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K–3. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A focus on the OGAP Addition, Subtraction, and Base Ten Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; An accompanying eResource, available online, offers an answer key to Looking Back questions, as well as a copy of the OGAP Additive Framework and the OGAP Number Line Continuum. A Focus on Addition and Subtraction marks the fourth installment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

Download or read book The Origins of Mathematical Knowledge in Childhood written by Catherine Sophian and published by Routledge. This book was released on 2017-09-25 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children's developing mathematical knowledge in the light of research: on children's counting; on their reasoning about continuous quantities such as length and area; on the development of the concept of unit; on additive and multiplicative reasoning; and on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.

Download or read book Using Mathematics to Understand the World written by Terezinha Nunes and published by Routledge. This book was released on 2021-08-05 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Mathematics to Understand the World: How Culture Promotes Children's Mathematics offers fundamental insight into how mathematics permeates our lives as a way of representing and thinking about the world. Internationally renowned experts Terezinha Nunes and Peter Bryant examine research into children’s mathematical development to show why it is important to distinguish between quantities, relations and numbers. Using Mathematics to Understand the World presents a theory about the development of children’s quantitative reasoning and reveals why and how teaching about quantitative reasoning can be used to improve children’s mathematical attainment in school. It describes how learning about the analytical meaning of numbers is established as part of mathematics at school but quantitative reasoning is emphasized less even though it is increasingly acclaimed as essential for thinking mathematically and for using mathematics to understand the world. This essential text is for all students of mathematics education, developmental psychology and cognitive psychology. By including activities for parents and professionals to try themselves, it may help you to recognize your own quantitative reasoning.

Download or read book Handbook of Child Psychology and Developmental Science Cognitive Processes written by and published by John Wiley & Sons. This book was released on 2015-04-06 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential reference for human development theory, updated and reconceptualized The Handbook of Child Psychology and Developmental Science, a four-volume reference, is the field-defining work to which all others are compared. First published in 1946, and now in its Seventh Edition, the Handbook has long been considered the definitive guide to the field of developmental science. Volume 2: Cognitive Processes describes cognitive development as a relational phenomenon that can be studied only as part of a larger whole of the person and context relational system that sustains it. In this volume, specific domains of cognitive development are contextualized with respect to biological processes and sociocultural contexts. Furthermore, key themes and issues (e.g., the importance of symbolic systems and social understanding) are threaded across multiple chapters, although every each chapter is focused on a different domain within cognitive development. Thus, both within and across chapters, the complexity and interconnectivity of cognitive development are well illuminated. Learn about the inextricable intertwining of perceptual development, motor development, emotional development, and brain development Understand the complexity of cognitive development without misleading simplification, reducing cognitive development to its biological substrates, or viewing it as a passive socialization process Discover how each portion of the developmental process contributes to subsequent cognitive development Examine the multiple processes – such as categorizing, reasoning, thinking, decision making and judgment – that comprise cognition The scholarship within this volume and, as well, across the four volumes of this edition, illustrate that developmental science is in the midst of a very exciting period. There is a paradigm shift that involves increasingly greater understanding of how to describe, explain, and optimize the course of human life for diverse individuals living within diverse contexts. This Handbook is the definitive reference for educators, policy-makers, researchers, students, and practitioners in human development, psychology, sociology, anthropology, and neuroscience.

Download or read book Developmental Cognitive Science Goes to School written by Nancy L. Stein and published by Routledge. This book was released on 2013-08-15 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses core issues related to school learning and the use of developmental/cognitive science models to improve school-based instruction. The contributors comprise a veritable "who's who" of leading researchers and scientists who are broadly trained in developmental psychology, cognitive science, economics, sociology, statistics, and physical science, and who are using basic learning theories from their respective disciplines to create better learning environments in school settings. Developmental Cognitive Science Goes to School: presents evidence-based studies that describe models of complex learning within specific subject-area disciplines focuses on domain knowledge and how this knowledge is structured in different domains across the curriculum gives critical attention to the topic of the ability to overcome errors and misconceptions addresses models that should be used to begin instruction for populations of children who normally fail at schooling. This is a must-read volume for all researchers, students, and professionals interested in evidence-based educational practices and issues related to domain-specific teaching and learning.

Download or read book Quantitative Reasoning in Mathematics and Science Education written by Gülseren Karagöz Akar and published by Springer Nature. This book was released on 2023-01-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on quantitative reasoning as an orienting framework to analyse learning, teaching and curriculum in mathematics and science education. Quantitative reasoning plays a vital role in learning concepts foundational to arithmetic, algebra, calculus, geometry, trigonometry and other ideas in STEM. The book draws upon the importance of quantitative reasoning and its crucial role in education. It particularly delves into quantitative reasoning related to the learning and teaching diverse mathematics and science concepts, conceptual analysis of mathematical and scientific ideas and analysis of school mathematics (K-16) curricula in different contexts. We believe that it can be considered as a reference book to be used by researchers, teacher educators, curriculum developers and pre- and in-service teachers.

Download or read book Hinduism Ritual Reason and Beyond Part 1 A Journey Through the Evolution of 5000 Year Old Traditions Sanatan Dharma Knowledge Philosophy written by Ashok Mishra and published by StoryMirror Infotech Pvt Ltd. This book was released on 2023-12-13 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featured as One of the Best Hinduism History Books To Read by Book Authority https://bookauthority.org/books/new-hinduism-history-books About the Book: The book is journey through 5000 years of evolution of Hinduism, and is outcome of seven years of study to understand the roots of Hinduism. Tracing the genesis of Hinduism to pre-Indus Valley period, the book explains Hindu, Hinduism and Sanatana Dharma, before it takes one through Hinduism’s oldest scriptures - the four Vedas, the four components of each Veda, and what they contain. How all original translations of Vedic texts were done by Western Sanskrit scholars, and why their works have left scope for doubt about the fidelity of translations. The yajnas (yagya) like Ashvamedha, Rajsooya, Vajpeya, etc., about which we only hear on TV serials and talk shows, have been demystified. The reader will be taken aback reading the sheer size and scale of Soma yajna, described step by step, in great detail. Hinduism’s journey to the Age of Reason, the Upanishads, its encounter with Buddhism, and its transformation into idol worshipping society with many gods and a multitude of stories about its millions of gods is lucidly explained. Puranas, what they contain and what was the reason they were created, has been described and explained next. Hinduism's journey to its modern form - idol worship, the modern puja, detailed description of puja and Sanskaras like Vivaha, their detailed description, the meaning of each action and how they are conducted, the gift to the priest, types of idols, their consecration, all are explained to help a reader understand the why and the how of what we do as a Hindu. The book concludes with a discussion of - Do mantras have power? & Do rituals have meaning? About the Author: Author, Ashok Mishra, a double post graduate in electronic engineering was CEO of a Indo Japanese manufacturing venture and Director of International Management Consultancy. He runs manufacturing business producing defense grade electronic components for US & other markets.

Download or read book Hinduism Ritual Reason and Beyond Part 2 A Journey Through the Evolution of 5000 Year Old Traditions Sanatan Dharma Knowledge Philosophy written by Ashok Mishra and published by StoryMirror Infotech Pvt Ltd. This book was released on 2023-12-13 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featured as One of the Best Hinduism History Books To Read by Book Authority https://bookauthority.org/books/new-hinduism-history-books About the Book: The book is journey through 5000 years of evolution of Hinduism, and is outcome of seven years of study to understand the roots of Hinduism. Tracing the genesis of Hinduism to pre-Indus Valley period, the book explains Hindu, Hinduism and Sanatana Dharma, before it takes one through Hinduism’s oldest scriptures - the four Vedas, the four components of each Veda, and what they contain. How all original translations of Vedic texts were done by Western Sanskrit scholars, and why their works have left scope for doubt about the fidelity of translations. The yajnas (yagya) like Ashvamedha, Rajsooya, Vajpeya, etc., about which we only hear on TV serials and talk shows, have been demystified. The reader will be taken aback reading the sheer size and scale of Soma yajna, described step by step, in great detail. Hinduism’s journey to the Age of Reason, the Upanishads, its encounter with Buddhism, and its transformation into idol worshipping society with many gods and a multitude of stories about its millions of gods is lucidly explained. Puranas, what they contain and what was the reason they were created, has been described and explained next. Hinduism's journey to its modern form - idol worship, the modern puja, detailed description of puja and Sanskaras like Vivaha, their detailed description, the meaning of each action and how they are conducted, the gift to the priest, types of idols, their consecration, all are explained to help a reader understand the why and the how of what we do as a Hindu. The book concludes with a discussion of - Do mantras have power? & Do rituals have meaning? About the Author: Author, Ashok Mishra, a double post graduate in electronic engineering was CEO of a Indo Japanese manufacturing venture and Director of International Management Consultancy. He runs manufacturing business producing defense grade electronic components for US & other markets.

Download or read book Hinduism Ritual Reason and Beyond Part 3 A Journey Through the Evolution of 5000 Year Old Traditions Sanatan Dharma Knowledge Philosophy written by Ashok Mishra and published by StoryMirror Infotech Pvt Ltd. This book was released on 2023-12-13 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featured as One of the Best Hinduism History Books To Read by Book Authority https://bookauthority.org/books/new-hinduism-history-books About the Book: The book is journey through 5000 years of evolution of Hinduism, and is outcome of seven years of study to understand the roots of Hinduism. Tracing the genesis of Hinduism to pre-Indus Valley period, the book explains Hindu, Hinduism and Sanatana Dharma, before it takes one through Hinduism’s oldest scriptures - the four Vedas, the four components of each Veda, and what they contain. How all original translations of Vedic texts were done by Western Sanskrit scholars, and why their works have left scope for doubt about the fidelity of translations. The yajnas (yagya) like Ashvamedha, Rajsooya, Vajpeya, etc., about which we only hear on TV serials and talk shows, have been demystified. The reader will be taken aback reading the sheer size and scale of Soma yajna, described step by step, in great detail. Hinduism’s journey to the Age of Reason, the Upanishads, its encounter with Buddhism, and its transformation into idol worshipping society with many gods and a multitude of stories about its millions of gods is lucidly explained. Puranas, what they contain and what was the reason they were created, has been described and explained next. Hinduism's journey to its modern form - idol worship, the modern puja, detailed description of puja and Sanskaras like Vivaha, their detailed description, the meaning of each action and how they are conducted, the gift to the priest, types of idols, their consecration, all are explained to help a reader understand the why and the how of what we do as a Hindu. The book concludes with a discussion of - Do mantras have power? & Do rituals have meaning? About the Author: Author, Ashok Mishra, a double post graduate in electronic engineering was CEO of a Indo Japanese manufacturing venture and Director of International Management Consultancy. He runs manufacturing business producing defense grade electronic components for US & other markets.

Download or read book eWork and eBusiness in Architecture Engineering and Construction written by Karsten Menzel and published by CRC Press. This book was released on 2010-09-01 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1994, the European Conference on Product and Process Modelling has provided a discussion platform for research and development in Architecture, Engineering, Construction and Facilities Management sectors.eWork and eBusiness in Architecture, Engineering and Construction 2010 provides strategic knowledge on the achievements and trends in resear

Download or read book Quantitative Development in Infancy and Early Childhood written by Kelly S. Mix and published by Oxford University Press. This book was released on 2002-04-04 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to define and discuss the key issues raised by new findings in the study of quantitative development. One basic question addressed is how the abilities reported in infants and young children relate to later development. In some accounts, one is left with the impression that infants possess all the fundamental skills that make up mature quantitative reasoning. According to this view, subsequent development seems to consist of little more than the gradual expression of these skills in increasing complex and explicit tasks. This is a major departure from previously held views of quantitative development, such as that of Piaget. To evaluate these new claims, authors will first review the abilities attributed to infants and then define the parameters of early childhood competencies. Comparing the two developmental periods, the authors will evaluate the finding, discuss the transition between these age periods, and offer a framework for understanding later development of quantitative skills, such as counting and calculation. Underlying the argument throughout will be an examination of the nativist versus empiricist debate that has taken center stage in infancy research.

Download or read book Helping Children Learn Mathematics written by Robert Reys and published by John Wiley & Sons. This book was released on 2014-10-20 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 11th Edition of Helping Children Learn Mathematics is designed to help those who are or will be teachers of mathematics in elementary schools help children develop understanding and proficiency with mathematics so they can solve problems. This text is built around three main themes: helping children make sense of mathematics, incorporating practical experiences, and using research to guide teaching. It also integrates connections and implications from the Common Core Standards: Mathematics (CCSS-M).

Download or read book Teaching Mathematics to Deaf Children written by Terezinha Nunes and published by John Wiley & Sons. This book was released on 2004-09-24 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: From an early age, deaf children excel in thinking about and remembering what they learn through visual spatial instruction. This strength in information processing can be used in the mathematics classroom to achieve better learning outcomes. This book discusses ways to teach deaf children about the four arithmetic operations through spatial representation in problem solving. Examples for the teaching of fractions and graphs are also included. These visual representations are useful to support the children's understanding of mathematical concepts and to promote peer collaboration. The teaching programme was tested with deaf children in six schools with excellent results: the children in the project made significantly more progress in one school year than expected for either deaf and hearing children over the same time. This work was made possible through the generous support of The Nuffield Foundation.

Download or read book Deaf Cognition written by Marc Marschark and published by Oxford University Press. This book was released on 2008-06-30 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deaf Cognition examines the cognitive underpinnings of deaf individuals' learning. Marschark and Hauser have brought together scientists from different disciplines, which rarely interact, to share their ideas and create this book. It contributes to the science of learning by describing and testing theories that might either over or underestimate the role that audition or vision plays in learning and memory, and by shedding light on multiple pathways for learning. International experts in cognitive psychology, brain sciences, cognitive development, and deaf children offer a unique, integrative examination of cognition and learning, with discussions on their implications for deaf education. Each chapter focuses primarily on the intersection of research in cognitive psychology, developmental psychology, and deaf education. The general theme of the book is that deaf and hearing individuals differ to some extent in early experience, brain development, cognitive functioning, memory organization, and problem solving. Identifying similarities and differences among these domains provides new insights into potential methods for enhancing achievement in this traditionally under-performing population.

Download or read book Visualizing Mathematics written by Kelly S. Mix and published by Springer. This book was released on 2018-12-07 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.