Download or read book Philosophical Dimensions in Mathematics Education written by Karen Francois and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

Download or read book Philosophy Learning and the Mathematics Curriculum written by Xuehui Xie and published by BRILL. This book was released on 2019-02-18 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics curriculums used in progressive classrooms of the United States and in classrooms of the People’s Republic of China presuppose markedly different philosophies. Xie and Carspecken reconstruct different assumptions operating implicitly within mathematics curriculums developed by the Ministry of Education in China and NCTM in the United States. Each curriculum is constructed upon a deep structure holistically integrating presuppositions about the nature of the human self, society, learning processes, language, concepts, human development, freedom, authority and the epistemology and ontology of mathematical knowledge. Xie and Carspecken next present an extended discussion of the two main philosophical traditions informing these curriculums: dialectical materialism in the case of the Chinese mathematics curriculum, and Dewey’s instrumental pragmatism in the case of NCTM. Both philosophies were developed as movements out of Hegelian idealism while retaining the anti-dualist and anti-empiricist insights of Hegel’s thought. The history of dialectical materialism and Dewey’s instrumentalism is carefully examined by the authors to identify both similarities and sharp differences in the resulting mature philosophies. Drawing upon more recent philosophies of intersubjectivity (Brandom, Habermas) and dialectical materialist psychologies (Vygotsky, Luria), the authors conclude this book with arguments for overcoming the limitations of a purely instrumentalist framework and for expanding potentialities implicit within dialectical philosophies. This book will be of value to a broad audience, including mathematics educators, philosophers, curriculum theorists, social theorists, and those who work in comparative education and learning science.

Download or read book The Philosophy of Mathematics Education written by Paul Ernest and published by Springer. This book was released on 2016-07-15 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also included.

Download or read book The Philosophy of Mathematics Education Today written by Paul Ernest and published by Springer. This book was released on 2018-06-09 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.

Download or read book Philosophy for Children Through the Secondary Curriculum written by Lizzy Lewis and published by A&C Black. This book was released on 2012-05-17 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy for Children (P4C) is an approach to learning and teaching that aims to develop reasoning and judgement. Students learn to listen to and respect their peers' opinions, think creatively and work together to develop a deeper understanding of concepts central to their own lives and the subjects they are studying. With the teacher adopting the role of facilitator, a true community develops in which rich and meaningful dialogue results in enquiry of the highest order. Each chapter is written by a leading P4C expert and provides an introduction to the relationship between P4C and the subject area, lesson stimuli and activities for extending and deepening students' thinking. The book includes: • guidance on how to embed P4C in curriculum subjects in a crowded and demanding secondary curriculum timetable • troubleshooting advice for the teacher-turned-facilitator • a companion website containing useful links, downloadable resources and material to display on your interactive whiteboard. Edited and collated by the UK's leading P4C organisation, this book introduces a rationale for using and adapting P4C in the secondary curriculum.

Download or read book Critical Mathematics Education written by Paul Ernest and published by IAP. This book was released on 2016-01-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.

Download or read book The Philosophy of Mathematics Education written by Paul Ernest and published by Routledge. This book was released on 2002-11-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although many agree that all teaching rests on a theory of knowledge, there has been no in-depth exploration of the implications of the philosophy of mathematics for education. This is Paul Ernest's aim. Building on the work of Lakatos and Wittgenstein it challenges the prevalent notion that mathematical knowledge is certain, absolute and neutral, and offers instead an account of mathematics as a social construction. This has profound educational implications for social issues, including gender, race and multiculturalism; for pedagogy, including investigations and problem solving; and challenges hierarchical views of mathematics, learning and ability. Beyond this, the book offers a well-grounded model of five educational ideologies, each with its own epistemology, values, aims and social group of adherents. An analysis of the impact of these groups on the National Curriculum results in a powerful critique, revealing the questionable assumptions, values and interests upon which it rests. The book finishes on an optimistic note, arguing that pedagogy, left unspecified by the National Curriculum, is the way to achieve the radical aims of educating confident problem posers and solvers who are able to critically evaluate the social uses of mathematics.

Download or read book Ongoing Advancements in Philosophy of Mathematics Education written by Maria Aparecida Viggiani Bicudo and published by Springer Nature. This book was released on 2023-11-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ongoing Advancements in Philosophy of Mathematics Education approaches the philosophy of mathematics education in a forward movement, analyzing, reflecting, and proposing significant contemporary themes in the field of mathematics education. The theme that gives life to the book is philosophy of mathematics education understood as arising from the intertwining between philosophy of mathematics and philosophy of education which, through constant analytical and reflective work regarding teaching and learning practices in mathematics, is materialized in its own discipline, philosophy of mathematics education. This is the field of investigation of the chapters in the book. The chapters are written by an international cohort of authors, from a variety of countries, regions, and continents. Some of these authors work with philosophical and psychological foundations traditionally accepted by Western civilization. Others expose theoretical foundations based on a new vision and comprising innovative approaches to historical and present-day issues in educational philosophy. The final third of the book is devoted to these unique and innovative research stances towards important and change resistant societal topics such as racism, technology gaps, or the promotion of creativity in the field of mathematics education.

Download or read book Science Teaching written by Michael R. Matthews and published by Routledge. This book was released on 2015-12-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science Teaching argues that science teaching and science teacher education can be improved if teachers know something of the history and philosophy of science and if these topics are included in the science curriculum. The history and philosophy of science have important roles in many of the theoretical issues that science educators need to address: what constitutes an appropriate science curriculum for all students; how science should be taught in traditional cultures; how scientific literacy can be promoted; and the conflict which can occur between science curriculum and deep-seated religious or cultural values and knowledge. Outlining the history of liberal approaches to the teaching of science, Michael Matthews elaborates contemporary curriculum developments that explicitly address questions about the nature and the history of science. He provides examples of classroom teaching and develops useful arguments on constructivism, multicultural science education and teacher education.

Download or read book Knowledge and the Curriculum written by Paul H. Hirst and published by . This book was released on 2009-12-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a coherent philosophical study of a group of important and pressing educational issues such as the selection of objectives for less able children, the fundamental characteristics of teaching and the integration of the curriculum.

Download or read book Decolonizing Philosophies of Education written by Ali A. Abdi and published by Springer Science & Business Media. This book was released on 2012-01-01 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of education basically deals with learning issues that attempt to explain or answer what we describe as the major questions of its domains, i.e., what education is needed, why such education, and how would societies undertake and achieve such learning possibilities. In different temporal and spatial intersections of people’s lives, the design as well as the outcome of such learning program were almost entirely indigenously produced, but later, they became perforce responsive to externally imposed demands where, as far as the history and the actualities of colonized populations were concerned, a cluster of de-philosophizing and de-epistemologizing educational systems were imposed upon them. Such realities of colonial education were not conducive to inclusive social well-being, hence the need to ascertain and analyze new possibilities of decolonizing philosophies of education, which this edited volume selectively aims to achieve. The book should serve as a necessary entry point for a possible re-routing of contemporary learning systems that are mostly of de-culturing and de-historicizing genre. With that in mind, the recommendations contained in the 12 chapters should herald the potential of decolonizing philosophies of education as liberating learning and livelihood praxes. “This collection of critical and scholarly analyses provides an insightful and timely resource for decolonizing philosophies of education that continue to shape discourses, policies, curricula and practices in all levels of educational and social institutions. It also usefully challenges versions of postcolonial studies that fail to recognize and demystify the continuity of colonial hegemony in contemporary societal formations in both the global north and south.” Toh Swee-Hin, Distinguished Professor, University for Peace, Costa Rica & Laureate, UNESCO Prize for Peace Education (2000) “Decolonizing philosophies of education edited by Ali A. Abdi is a collection of twelve essays by noted scholars in the field who provide strong readings of postcolonialism in education with an emphasis on decolonizing epistemologies. It provides a clear and comprehensive introduction to the critical history of colonization, postcolonial studies and the significance of education to the colonial project. This is an important book that provides a global perspective on the existential and epistemological escape from the colonial condition.” Michael A. Peters, Professor, Educational Policy Studies, University of Illinois at Urbana-Champaign

Download or read book The Philosophy of the Christian Curriculum written by R. J. Rushdoony and published by Chalcedon Foundation. This book was released on 2012-10-17 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Christian School represents a break with humanistic education, but, too often in leaving the state school, the Christian educator has carried the state's humanism with him. A curriculum is not neutral: it is either a course in humanism or training in a God-centered faith and life. The liberal arts curriculum means literally that course which trains students in the arts of freedom. This raises the key question: is freedom in and of man or Christ? The Christian art of freedom, that is, the Christian liberal arts curriculum, is emphatically not the same as the humanistic one. It is urgently necessary for Christian educators to rethink the meaning and nature of the curriculum. It should be clear then that whether history, science, mathematics, grammar, literature, ecology, civic duty, or law, every aspect of curriculum must be reconstructed along Biblical lines. The overall objective is for Christian families to prepare and equip themselves for service in the Kingdom of God, and this cannot be done without a rethinking of the philosophy of the Christian curriculum. In this study, Rousas John Rushdoony develops the philosophy of the Christian curriculum. It is the pioneering study in this field, and it is important reading for all Christian educators.

Download or read book Whitehead and Philosophy of Education written by Malcolm D. Evans and published by Rodopi. This book was released on 1998 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: That process philosophy can be the foundation of the theory and practice of educating human beings is the main argument of this book. The process philosophy of Alfred North Whitehead (1861-1947) is the particular thinking on which this book is based. Readers are shown that Whitehead's process philosophy provides a frame, a conceptual matrix, that addresses their concerns about education and offers direction for their educative acts. Whitehead theorized that all living entities are connected in some way. Relatedness, connectedness, and holism are recurring themes in this exploration of Whitehead's implied philosophy of education. Whitehead never wrote a philosophy of education, but his writings over a period of nearly thirty years reveal a persistent interest and concern with education. His work, ranging from Introduction to Mathematics (1911) to Adventures of Ideas (1938), is drawn on here to construct, not Whitehead's philosophy of education, but, a Whiteheadian philosophy of education. Whitehead and Philosophy of Education brings to scholars and students of education an understanding of Whitehead as an important figure in philosophy, particularly philosophy of education; an acquaintance with process philosophy; a brief treatment of Whitehead's life and an account of events and experiences that influenced his philosophizing; and an exploration of the educationally salient concepts found in Whitehead's formal and informal philosophy with special attention to Whitehead's ideas about creativity, process, rhythm, wisdom, and knowledge. Whitehead writes of phases of the rhythm of education - romance, precision, and generalization. The book is organized with attention to these three phases. Part One-Romance introduces readers to Whitehead the person, and the change of context for educating from a mechanistic world-view to an organismic one. Part Two-Precision examines Whitehead's writings, as they relate to process philosophy and to educating. Part Three-Generalization is an application of the explorations of Parts One and Two, yielding a construction of a Whiteheadian philosophy of education and suggestions for educational practice.

Download or read book Democracy and Mathematics Education written by Kurt Stemhagen and published by Routledge. This book was released on 2021-05-06 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students’ math abilities and democratic potential. They locate mathematics’ origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book’s humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics’ Choice Book Award.

Download or read book International Perspectives on Mathematics Curriculum written by Denisse R Thompson and published by IAP. This book was released on 2018-01-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curriculum can be defined in a variety of ways. It might be viewed as a body of knowledge, a product, or a process. Curricula can differ as they are conceptualized from various theoretical perspectives to address the needs of teachers, students, and the context of schooling. One reason to study curriculum is “to reveal the expectations, processes and outcomes of students’ school learning experiences that are situated in different cultural and system contexts. … further studies of curriculum practices and changes are much needed to help ensure the success of educational reforms in the different cultural and system contexts” (Kulm & Li, 2009, p. 709). This volume highlights international perspectives on curriculum and aims to broaden the wider mathematics education community’s understandings of mathematics curriculum through viewing a variety of ways that curricula are developed, understood, and implemented in different jurisdictions/countries. Within this volume, we define curriculum broadly as the set of mathematics standards or outcomes, the messages inherent in mathematics curriculum documents and resources, how these standards are understood by a variety of stakeholders, and how they are enacted in classrooms. The focus is on the written, implied, and enacted curriculum in various educational settings throughout the world.

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 Advance Philosophy of Education written by Bharati chand and published by Notion Press. This book was released on 2017-07-12 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a concrete theory and practice of philosophy of education. It explores educational aspects of the Indian and western philosophy and philosophers. It can help students and teachers as well as teacher educators to analyze, reflect upon and improve their teaching practice from a philosophical point of view. It challenges students and teachers to incorporate both theory as well as practice of philosophy in their classroom teaching.