Learning Mathematics And Logo
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Learning Mathematics And Logo
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Author : Celia Hoyles
language : en
Publisher:
Release Date : 1992
Learning Mathematics And Logo written by Celia Hoyles and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Electronic books categories.
These original essays summarize a decade of fruitful research and curriculum development using the LISP-derived language Logo. They discuss a range of issues in the areas of curriculum, learning, and mathematics, illustrating the ways in which Logo continues to provide a rich learning environment, one that allows pupil autonomy within challenging mathematical settings.Essays in the first section discuss the link between Logo and the school mathematics curriculum, focusing on the ways in which pupils' Logo activities relate to and are influenced by the ideas they encounter in the context of school algebra and geometry.In the second section the contributions take up pedagogical styles and strategies. They tackle such cognitive and metacognitive questions as, What range of learning styles can the Logo setting accommodate? How can teachers make sense of pupils' preferred strategies? And how can teachers help students to reflect on the strategies they are using?Returning to the mathematical structures, essays in the third section consider a variety of mathematical ideas, drawing connections between mathematics and computing and showing the ways in which constructing Logo programs helps or does not help to illuminate the underlying mathematics.Celia Hoyles; is Professor of Mathematics Education at the Institute of Education, University of London, where Richard Noss is Chair of the Department of Mathematics, Statistics, and Computing.
The Logo Language
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Author : Wallace Feurzeig
language : en
Publisher:
Release Date : 1977
The Logo Language written by Wallace Feurzeig and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with LOGO (Computer program language) categories.
Presents a LOGO-Based Curriculum for Teaching Functions & Equations & Logic. Shows Teachers the Mathematical & Pedagogic Possibilities Inherent in LOGO
Ebook Teaching For Learning Mathematics
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Author : Ros Sutherland
language : en
Publisher: McGraw-Hill Education (UK)
Release Date : 2006-12-16
Ebook Teaching For Learning Mathematics written by Ros Sutherland and has been published by McGraw-Hill Education (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-16 with Education categories.
Why do students find learning mathematics difficult? Can anything be done about this? What can we learn from mathematics lessons in which students are motivated to struggle with difficult mathematical ideas? How can teachers make sense of the research which is available, and use it to improve practice in real classrooms? This book explores the factors that influence young people’s learning of mathematics. It uses a holistic, socio-culturally informed approach to show how all young people can be encouraged to engage with and learn mathematics. Rich examples from classroom practice are used to connect theory and practice. The role of mathematical tools, including information and communications technologies, is discussed. A key focus of the book is the link between teaching and learning, including different ways in which teachers can design and orchestrate mathematical learning environments. This important, accessible and relevant book is essential reading for student teachers of mathematics as well as all qualified mathematics teachers in secondary schools.
Volume 1 Research Syntheses
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Author : M. Kathleen Heid
language : en
Publisher: IAP
Release Date : 2008-07-01
Volume 1 Research Syntheses written by M. Kathleen Heid and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-01 with Mathematics categories.
According to NCTM’s Principles and Standards for School mathematics, "Technology is essential in teaching and learning of mathematics; it influences the mathematics that is taught and it enhances students’ learning.” How does research inform this clarion call for technology in mathematics teaching and learning? In response to the need to craft appropriate roles for technology in school mathematics new technological approaches have been applied to the teaching and learning of mathematics, and these approaches have been examined by researchers world-wide. The first volume provides insight into what research suggests about the nature of mathematics learning in technological environments. Included in this volume are syntheses of research on technology in the learning of rational number, algebra, elementary and secondary geometry, mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equity issues in the use of technology in mathematics instruction. Instead of simply reporting achievement scores of students who use technology in their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technology affects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research has provided important guidance to the field.
Selected Regular Lectures From The 12th International Congress On Mathematical Education
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Author : Sung Je Cho
language : en
Publisher: Springer
Release Date : 2015-07-16
Selected Regular Lectures From The 12th International Congress On Mathematical Education written by Sung Je Cho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-16 with Education categories.
This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Windows On Mathematical Meanings
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Author : Richard Noss
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Windows On Mathematical Meanings written by Richard Noss and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
This book is the culmination of some ten years' theoretical and empirical investigation. Throughout this period, we have come into contact with many who have stimulated our thinking, some of whom belong to the community of Mathematics Educators. Our membership of that community has challenged us to make sense of some deep issues related to mathematical learning, especially the cognitive and pedagogical faces of mathematical meaning making. Alongside this community, we are privileged to have been part of another, whose members are centrally concerned both with mathematics and educa tion. Yet many of them might reject the label of Mathematics Educators. This community has historically been clustered around what is now called the Epistemology and Learning Group at the Massachusetts Institute of Technol ogy. Their work has focused our attention on cognitive science, ethnography, sociology, artificial intelligence and other related disciplines. Crucially, it has forced our awareness of the construction of computational settings as a crucial component of the struggle to understand how mathematical learning happens. We have sometimes felt that few have tried to span both communities. Indeed, an analysis of the references in the literature would, we are sure, reveal that the two communities have often ignored each other's strengths. One reason for writing this book is born of our hope that we might draw together Mathematics Educators and mathematics educators, and assist both communities in recognising that there are insights that might be derived from each other.
Intelligent Learning Environments The Case Of Geometry
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Author : Jean-Marie Laborde
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Intelligent Learning Environments The Case Of Geometry written by Jean-Marie Laborde and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This book is a thoroughly revised result, updated to mid-1995, of the NATO Advanced Research Workshop on "Intelligent Learning Environments: the case of geometry", held in Grenoble, France, November 13-16, 1989. The main aim of the workshop was to foster exchanges among researchers who were concerned with the design of intelligent learning environments for geometry. The problem of student modelling was chosen as a central theme of the workshop, insofar as geometry cannot be reduced to procedural knowledge and because the significance of its complexity makes it of interest for intelligent tutoring system (ITS) development. The workshop centred around the following themes: modelling the knowledge domain, modelling student knowledge, design ing "didactic interaction", and learner control. This book contains revised versions of the papers presented at the workshop. All of the chapters that follow have been written by participants at the workshop. Each formed the basis for a scheduled presentation and discussion. Many are suggestive of research directions that will be carried out in the future. There are four main issues running through the papers presented in this book: • knowledge about geometry is not knowledge about the real world, and materialization of geometrical objects implies a reification of geometry which is amplified in the case of its implementation in a computer, since objects can be manipulated directly and relations are the results of actions (Laborde, Schumann). This aspect is well exemplified by research projects focusing on the design of geometric microworlds (Guin, Laborde).
Learning And Teaching Mathematics
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Author : Peter Bryant
language : en
Publisher: Psychology Press
Release Date : 2016-01-28
Learning And Teaching Mathematics written by Peter Bryant and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-28 with Psychology categories.
Newly available in paperback. Results of exciting new research.
Advanced Educational Technologies For Mathematics And Science
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Author : David L. Ferguson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Advanced Educational Technologies For Mathematics And Science written by David L. Ferguson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Education categories.
This book is the outgrowth of a NATO Advanced Research Workshop, held in Milton Keynes (United Kingdom) in the summer of 1990. The workshop brought together about 30 world leaders in the use of advanced technologies in the teaching of mathematics and science. Many of these participants commented that the workshop was one of the more productive and exciting workshops that they had attended. It was not uncommon to see participants engaged in informal discussion far into the evenings and early mornings, long after formal sessions had ended. It is my hope that this book captures the substance and excitement of many of the ideas that were presented at the workshop. Indeed, the process by which this book has come about has given every opportunity for the best thinking to get reflected here. Participants wrote papers prior to the workshop. After the workshop, participants revised the papers at least once. In a few instances, three versions of papers were written. Some participants could not resist the urge to incorporate descriptions of some of the newer developments in their projects. The papers in this book demonstrate how technology is impacting our view of what should be taught, what can be taught, and how we should go about teaching in the various disciplines. As such, they offer great insight into the central issues of teaching and learning in a wide range of disciplines and across many grade levels (ranging from elementary school through undergraduate college education).
Mathematical Reasoning
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2013-04-03
Mathematical Reasoning written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Education categories.
How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied", to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition. This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g., "analogy and metaphor"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.