Download or read book To Understand Is to Invent written by Jean Piaget and published by Penguin Books. This book was released on 1974-09-05 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematics Education and Language Diversity written by Richard Barwell and published by Springer. This book was released on 2015-11-25 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK WILL SOON BECOME AVAILABLE AS OPEN ACCESS BOOK* This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. This open access book examines multiple facets of language diversity

Download or read book Children s Mathematics written by Elizabeth Carruthers and published by Paul Chapman Educational Publishing. This book was released on 2006-08-30 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering practical guidance to teachers and novice teachers the authors explore a number of ways of helping children make sense of mathematics and suggest alternatives to the excessive use of worksheets.

Download or read book Structuralism Psychology Revivals written by Jean Piaget and published by Psychology Press. This book was released on 2015-04-10 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in English in 1971, structuralism was an increasingly important method of analysis in disciplines as diverse as mathematics, physics, biology, psychology, linguistics, sociology, anthropology and philosophy. Piaget here offers both a definitive introduction to the method and a brilliant critique of the principal structuralist positions. He explains and evaluates the work of the main people at work in the field – Claude Lévi-Strauss, Michel Foucault, Talcott Parsons, Noam Chomsky – and concludes that structuralism has a rich and fruitful future ahead of it. An indispensable work for serious students and working scholars in almost every field, the book is also an important addition to Piaget’s life-long study of the relationship of language and thought.

Download or read book Child s Conception of Space written by Jean Piaget and published by Routledge. This book was released on 2013-08-21 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1997. This Volume 4 of Jean Piaget's selected works and explores the study of the concept of space, or rather, of the innumerable ideas involved in the concept of space, which Piaget sees is for many reasons an indispensable part of child psychology.

Download or read book Synthetic Philosophy of Contemporary Mathematics written by Fernando Zalamea and published by National Geographic Books. This book was released on 2012-09-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.” In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.

Download or read book Skill and Education Reflection and Experience written by Bo Göranzon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has an important starting point in the conference held in Stockholm in May-June 1988 on Culture, Language and Artifidal Intelligence. It assembled more than 300 researchers and practitioners in the fields of technology, philosophy, history of ideas, literature, linguistics, sodal science etc. The conference was an initiative from the Swedish Center for Working Life, based on the project AI-Based Systems and the Future of Language, Knowledge and Responsibility in Professions within the COST 13 programme of the European Commission. Partidpants in the conference and researchers related to its aims were chosen to contribute to this book. It is preceded by Knowledge, Skill and Artificial Intelligence (ed. B. Göranzon and I. Josefson, Springer-Verlag, 1988), Artifidal Intelligence, Culture and Language (ed. B. Göranzon and M. Florin, Springer-Verlag, 1990) and Dialogue and Technology: Art and Knowledge (ed. B. Göranzon and M. Florin, Springer-Verlag, 1991). The two latter books have the same conference connection as this one, and their aim is to present the contours of a research field with a multitude of issues that demands thorough investigation. The contributors' thinking in this field varies greatly; so do their styles of writing. For example: contributors have varied in their choice of "he" or "helshe" for the third person. No distinc tion is intended, but chapters have been left with the original usage to avoid extensive changes. Similarly, individual contribu tor's preference as to notes or reference lists have been followed.

Download or read book International Handbook of Mathematical Learning Difficulties written by Annemarie Fritz and published by Springer. This book was released on 2019-01-30 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there’s still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it’s time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.

Download or read book Modern Political Economics written by Yanis Varoufakis and published by Routledge. This book was released on 2012-03-29 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Once in a while the world astonishes itself. Anxious incredulity replaces intellectual torpor and a puzzled public strains its antennae in every possible direction, desperately seeking explanations for the causes and nature of what just hit it. 2008 was such a moment. Not only did the financial system collapse, and send the real economy into a tailspin, but it also revealed the great gulf separating economics from a very real capitalism. Modern Political Economics has a single aim: To help readers make sense of how 2008 came about and what the post-2008 world has in store. The book is divided into two parts. The first part delves into every major economic theory, from Aristotle to the present, with a determination to discover clues of what went wrong in 2008. The main finding is that all economic theory is inherently flawed. Any system of ideas whose purpose is to describe capitalism in mathematical or engineering terms leads to inevitable logical inconsistency; an inherent error that stands between us and a decent grasp of capitalist reality. The only scientific truth about capitalism is its radical indeterminacy, a condition which makes it impossible to use science's tools (e.g. calculus and statistics) to second-guess it. The second part casts an attentive eye on the post-war era; on the breeding ground of the Crash of 2008. It distinguishes between two major post-war phases: The Global Plan (1947-1971) and the Global Minotaur (1971-2008). This dynamic new book delves into every major economic theory and maps out meticulously the trajectory that global capitalism followed from post-war almost centrally planned stability, to designed disintegration in the 1970s, to an intentional magnification of unsustainable imbalances in the 1980s and, finally, to the most spectacular privatisation of money in the 1990s and beyond. Modern Political Economics is essential reading for Economics students and anyone seeking a better understanding of the 2008 economic crash.

Download or read book Towards a General Theory of Classifications written by Daniel Parrochia and published by Springer Science & Business Media. This book was released on 2013-05-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the “state of art” of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field.

Download or read book Chance Encounters Probability in Education written by R. Kapadia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written to fIll a substantial gap in the current literature in mathemat ical education. Throughout the world, school mathematical curricula have incorporated probability and statistics as new topics. There have been many research papers written on specifIc aspects of teaching, presenting novel and unusual approaches to introducing ideas in the classroom; however, there has been no book giving an overview. Here we have decided to focus on probability, making reference to inferential statistics where appropriate; we have deliberately avoided descriptive statistics as it is a separate area and would have made ideas less coherent and the book excessively long. A general lead has been taken from the fIrst book in this series written by the man who, probably more than everyone else, has established mathematical education as an aca demic discipline. However, in his exposition of didactical phenomenology, Freudenthal does not analyze probability. Thus, in this book, we show how probability is able to organize the world of chance and idealized chance phenomena based on its development and applications. In preparing these chapters we and our co-authors have reflected on our own acquisition of probabilistic ideas, analyzed textbooks, and observed and reflect ed upon the learning processes involved when children and adults struggle to acquire the relevant concepts.

Download or read book Perception and Discovery written by Norwood Russell Hanson and published by Springer. This book was released on 2018-05-29 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Norwood Russell Hanson was one of the most important philosophers of science of the post-war period. Hanson brought Wittgensteinian ordinary language philosophy to bear on the concepts of science, and his treatments of observation, discovery, and the theory-ladenness of scientific facts remain central to the philosophy of science. Additionally, Hanson was one of philosophy’s great personalities, and his sense of humor and charm come through fully in the pages of Perception and Discovery. Perception and Discovery, originally published in 1969, is Hanson’s posthumous textbook in philosophy of science. The book focuses on the indispensable role philosophy plays in scientific thinking. Perception and Discovery features Hanson’s most complete and mature account of theory-laden observation, a discussion of conceptual and logical boundaries, and a detailed treatment of the epistemological features of scientific research and scientific reasoning. This book is of interest to scholars of philosophy of science, particularly those concerned with Hanson’s thought and the development of the discipline in the middle of the 20th century. However, even fifty years after Hanson’s early death, Perception and Discovery still has a great deal to offer all readers interested in science.

Download or read book The Architecture and Dynamics of Developing Mind written by Andreas Demetriou and published by . This book was released on 1993 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Monograph presents a theory of cognitive development. The theory argues that the mind develops across three fronts. The first refers to a general processing system that defines the general potentials of mind to develop cognitive strategies and skills. The second refers to a hypercognitive system that governs self-understanding and self-regulation. The third involves a set of specialized structural systems that are responsible for the representation and processing of different reality domains.

Download or read book The Origin of Arithmetic Skills written by Dagmar Neuman and published by . This book was released on 1987 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Uses of Technology in Primary and Secondary Mathematics Education written by Lynda Ball and published by Springer. This book was released on 2018-05-14 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.

Download or read book One Dimensional Man written by Herbert Marcuse and published by Routledge. This book was released on 2013-10-11 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important texts of modern times, Herbert Marcuse's analysis and image of a one-dimensional man in a one-dimensional society has shaped many young radicals' way of seeing and experiencing life. Published in 1964, it fast became an ideological bible for the emergent New Left. As Douglas Kellner notes in his introduction, Marcuse's greatest work was a 'damning indictment of contemporary Western societies, capitalist and communist.' Yet it also expressed the hopes of a radical philosopher that human freedom and happiness could be greatly expanded beyond the regimented thought and behaviour prevalent in established society. For those who held the reigns of power Marcuse's call to arms threatened civilization to its very core. For many others however, it represented a freedom hitherto unimaginable.

Download or read book Technics and Time 1 written by Bernard Stiegler and published by Stanford University Press. This book was released on 1998 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is a technical object? At the beginning of Western philosophy, Aristotle contrasted beings formed by nature, which had within themselves a beginning of movement and rest, and man-made objects, which did not have the source of their own production within themselves. This book, the first of three volumes, revises the Aristotelian argument and develops an innovative assessment whereby the technical object can be seen as having an essential, distinct temporality and dynamics of its own. The Aristotelian concept persisted, in one form or another, until Marx, who conceived of the possibility of an evolution of technics. Lodged between mechanics and biology, a technical entity became a complex of heterogeneous forces. In a parallel development, while industrialization was in the process of overthrowing the contemporary order of knowledge as well as contemporary social organization, technology was acquiring a new place in philosophical questioning. Philosophy was for the first time faced with a world in which technical expansion was so widespread that science was becoming more and more subject to the field of instrumentality, with its ends determined by the imperatives of economic struggle or war, and with its epistemic status changing accordingly. The power that emerged from this new relation was unleashed in the course of the two world wars. Working his way through the history of the Aristotelian assessment of technics, the author engages the ideas of a wide range of thinkers--Rousseau, Husserl, and Heidegger, the paleo-ontologist Leroi-Gourhan, the anthropologists Vernant and Detienne, the sociologists Weber and Habermas, and the systems analysts Maturana and Varela.