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A Phenomenological Study Of Mathematics Meaning
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Book Synopsis Phenomenology, Logic, and the Philosophy of Mathematics by : Richard L. Tieszen
Download or read book Phenomenology, Logic, and the Philosophy of Mathematics written by Richard L. Tieszen and published by Cambridge University Press. This book was released on 2005-06-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
Book Synopsis The Mathematical Experience, Study Edition by : Philip Davis
Download or read book The Mathematical Experience, Study Edition written by Philip Davis and published by Springer Science & Business Media. This book was released on 2011-10-28 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.
Book Synopsis The Origin of the Logic of Symbolic Mathematics by : Burt C. Hopkins
Download or read book The Origin of the Logic of Symbolic Mathematics written by Burt C. Hopkins and published by Indiana University Press. This book was released on 2011-09-07 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.
Book Synopsis Philosophy of Arithmetic by : Edmund Husserl
Download or read book Philosophy of Arithmetic written by Edmund Husserl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time.
Book Synopsis Beliefs: A Hidden Variable in Mathematics Education? by : G.C. Leder
Download or read book Beliefs: A Hidden Variable in Mathematics Education? written by G.C. Leder and published by Springer Science & Business Media. This book was released on 2005-12-28 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.
Book Synopsis Phenomenology and Mathematics by : Michael Roubach
Download or read book Phenomenology and Mathematics written by Michael Roubach and published by Cambridge University Press. This book was released on 2023-12-06 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element explores the relationship between phenomenology and mathematics. Its focus is the mathematical thought of Edmund Husserl, founder of phenomenology, but other phenomenologists and phenomenologically-oriented mathematicians, including Weyl, Becker, Gödel, and Rota, are also discussed. After outlining the basic notions of Husserl's phenomenology, the author traces Husserl's journey from his early mathematical studies. Phenomenology's core concepts, such as intention and intuition, each contributed to the emergence of a phenomenological approach to mathematics. This Element examines the phenomenological conceptions of natural number, the continuum, geometry, formal systems, and the applicability of mathematics. It also situates the phenomenological approach in relation to other schools in the philosophy of mathematics-logicism, formalism, intuitionism, Platonism, the French epistemological school, and the philosophy of mathematical practice.
Book Synopsis What Does Understanding Mathematics Mean for Teachers? by : Yuichi Handa
Download or read book What Does Understanding Mathematics Mean for Teachers? written by Yuichi Handa and published by Taylor & Francis. This book was released on 2013-05-13 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book opens up alternative ways of thinking and talking about ways in which a person can "know" a subject (in this case, mathematics), leading to a reconsideration of what it may mean to be a teacher of that subject. In a number of European languages, a distinction is made in ways of knowing that in the English language is collapsed into the singular word know. In French, for example, to know in the savoir sense is to know things, facts, names, how and why things work, and so on, whereas to know in the connaître sense is to know a person, a place, or even a thing—namely, an other— in such a way that one is familiar with, or in relationship with this other. Primarily through phenomenological reflection with a touch of empirical input, this book fleshes out an image for what a person’s connaître knowing of mathematics might mean, turning to mathematics teachers and teacher educators to help clarify this image.
Book Synopsis The Mathematical Imagination by : Matthew Handelman
Download or read book The Mathematical Imagination written by Matthew Handelman and published by Fordham Univ Press. This book was released on 2019-03-05 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.
Book Synopsis Educational Research by : Burke Johnson
Download or read book Educational Research written by Burke Johnson and published by SAGE. This book was released on 2008 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: Educational Research is a highly readable text that provides students with a clear and in-depth understanding of the different kinds of research--including technology-based--that are used in education today. The text introduces students to the fundamental logic of empirical research and explores the sources of research ideas. Detailed descriptions guide students through the design and implementation of actual research studies with a balanced examination of quantitative, qualitative, and mixed research, serving as one of the book′s strongest features. While quantitative research strategies are covered extensively, the text also discusses various qualitative approaches such as ethnography, historical methods, phenomenology, grounded theory, and case studies. The authors present detailed, step-by-step coverage of the key elements of research, including sampling techniques, ethical considerations, data collection methods, measurement, judging validity, experimental and non-experimental methods, descriptive and inferential statistics, qualitative data analysis, and report preparation.
Book Synopsis Introducing Philosophy of Mathematics by : Michele Friend
Download or read book Introducing Philosophy of Mathematics written by Michele Friend and published by Routledge. This book was released on 2014-12-05 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.
Book Synopsis Black Male Teachers by : Chance W. Lewis
Download or read book Black Male Teachers written by Chance W. Lewis and published by Emerald Group Publishing. This book was released on 2013-04-23 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume offers sound suggestions for advancing diversity in the teaching profession. It provides teacher education programs with needed training materials to accommodate Black male students, and school district administrators and leaders with information to help recruit and retain Black male teachers.
Book Synopsis Mapping Equity and Quality in Mathematics Education by : Bill Atweh
Download or read book Mapping Equity and Quality in Mathematics Education written by Bill Atweh and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concerns about quality mathematics education are often posed in terms of the types of mathematics that are worthwhile and valuable for both the student and society in general, and about how to best support students so that they can develop this mathematics. Concerns about equity are about who is excluded from the opportunity to develop quality mathematics within our current practices and systems, and about how to remove social barriers that systematically disadvantage those students. This collection of chapters summarises our learning about the achievement of both equity and quality agendas in mathematics education and to move forward the debate on their importance for the field.
Book Synopsis Phenomenological Research Methods by : Clark Moustakas
Download or read book Phenomenological Research Methods written by Clark Moustakas and published by SAGE Publications. This book was released on 1994-07-27 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, Clark Moustakas clearly discusses the theoretical underpinnings of phenomenology, based on the work of Husserl and others, and takes the reader step-by-step through the process of conducting a phenomenological study. His concise guide provides numerous examples of successful phenomenological studies from a variety of fields including therapy, health care, victimology, psychology and gender studies. The book also includes form letters and other research tools to use in designing and conducting a study.
Book Synopsis Phenomenology of Practice by : Max Van Manen
Download or read book Phenomenology of Practice written by Max Van Manen and published by Routledge. This book was released on 2016-09-16 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max van Manen offers an extensive exploration of phenomenological traditions and methods for the human sciences. It is his first comprehensive statement of phenomenological thought and research in over a decade. Phenomenology of practice refers to the meaning and practice of phenomenology in professional contexts such as psychology, education, and health care, as well as to the practice of phenomenological methods in contexts of everyday living. Van Manen presents a detailed description of key phenomenological ideas as they have evolved over the past century; he then thoughtfully works through the methodological issues of phenomenological reflection, empirical methods, and writing that a phenomenology of practice offers to the researcher. Van Manen’s comprehensive work will be of great interest to all concerned with the interrelationship between being and acting in human sciences research and in everyday life. Max van Manen is the editor of the series Phenomenology of Practice, https://www.routledge.com/series/PPVM
Book Synopsis Mathematics Education as a Research Domain: A Search for Identity by : Anna Sierpinska
Download or read book Mathematics Education as a Research Domain: A Search for Identity written by Anna Sierpinska and published by Springer Science & Business Media. This book was released on 1998-01-31 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1978, in the foreword to Weeding and Sowing: A Preface to a Science of Mathematics Education, Hans Freudenthal wrote that his book is a preface to a science that does not exist. Almost 20 years later, does his claim still hold true? The present book is the result of the reflection of many individuals in mathematics education on this and related questions. Is mathematics education a science? Is it a discipline? In what sense? What is its place within other domains of research and academic disciplines? What accounts for its specificity? In the book, the reader will find a range of possible answers to these questions, a variety of analyses of the actual directions of research in different countries, and a number of visions for the future of research in mathematics education. The book is a result of an ICMI Study, whose theme was formulated as: `What is Research in Mathematics Education and What are Its Results?'. One important outcome of this study was the realization of the reasons for the difficulty of the questions that the study was posing, leading possibly to a set of other questions, better suited to the actual concerns and research practices of mathematics education researchers. The book addresses itself to researchers in mathematics education and all those working in their neighborhood who are concerned with the problems of the definition of this new scientific domain emerging at their borders.
Book Synopsis Constructive Semantics by : Christina Weiss
Download or read book Constructive Semantics written by Christina Weiss and published by Springer Nature. This book was released on 2019-10-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book brings together research work in the field of constructive semantics with scholarship on the phenomenological foundations of logic and mathematics. It addresses one of the central issues in the epistemology and philosophy of mathematics, namely the relationship between phenomenological meaning constitution and constructive semantics. Contributing authors explore deep structural connections and fundamental differences between phenomenology and constructivism. Papers are drawn from contributions to a prestigious workshop held at the University of Friedrichshafen. Readers will discover insight into structural connections between the phenomenological concept of meaning constitution and constructivist concepts of meaning. Discussion ranges from more specific conceptualizations in the philosophy of logic and mathematics to more general considerations in epistemology, inferential semantics and phenomenology. Questions such as a possible phenomenological understanding of the relationship between structural rules and particle rules in dialogical logic are explored. Significant aspects of both phenomenology and dialectics, and dialectics and constructivism emerge. Graduates and researchers of philosophy, especially logic, as well as scholars of mathematics will all find something of interest in the expert insights presented in this volume.
Book Synopsis Embracing Diversity in the Learning Sciences by : Yasmin B. Kafai
Download or read book Embracing Diversity in the Learning Sciences written by Yasmin B. Kafai and published by Taylor & Francis. This book was released on 2012-10-12 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than a decade has passed since the First International Conference of the Learning Sciences (ICLS) was held at Northwestern University in 1991. The conference has now become an established place for researchers to gather. The 2004 meeting is the first under the official sponsorship of the International Society of the Learning Sciences (ISLS). The theme of this conference is "Embracing Diversity in the Learning Sciences." As a field, the learning sciences have always drawn from a diverse set of disciplines to study learning in an array of settings. Psychology, cognitive science, anthropology, and artificial intelligence have all contributed to the development of methodologies to study learning in schools, museums, and organizations. As the field grows, however, it increasingly recognizes the challenges to studying and changing learning environments across levels in complex social systems. This demands attention to new kinds of diversity in who, what, and how we study; and to the issues raised to develop coherent accounts of how learning occurs. Ranging from schools to families, and across all levels of formal schooling from pre-school through higher education, this ideology can be supported in a multitude of social contexts. The papers in these conference proceedings respond to the call.
