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A Phenomenological Study Of Mathematics Meaning
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Book Synopsis A Phenomenological Study of Mathematics Meaning by : Latasha Thompson
Download or read book A Phenomenological Study of Mathematics Meaning written by Latasha Thompson and published by . This book was released on 2010 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this study was to examine the mathematics meanings that are held by higher- and lower-performing African-American male high school students. Meaning in this context was defined as a set of dispositions that included, but were not limited to, values, beliefs, attitudes, feelings, and interests. Using worldview theory as the conceptual lens, this study sought to examine the life experiences of six 11th and 12th grade students and how these experiences influence their mathematics meanings. In addition, this study examines the influence these meanings had on their mathematics performance and persistence. Conducted within the methodological framework of phenomenology, this study describes the essence of the lived experiences of African-American male high school students. In order to explore their lived experiences in schools, in their homes and communities, this study used transcripts of approximately 75 hours of classroom observations and interviews as the data corpus. In the interviews, these six African-American males were prompted to talk about aspects of their world and where mathematics is situated within that world. Their responses were then analyzed for individual and shared meaning among the participant group. The reporting and analysis of the data revealed that experiences, such as student-teacher interactions, peer influences, and role models, served as the most influential factors impacting mathematics meaning for these African-American males. The findings of this study also suggest that meanings were not predictably associated with their performance and persistence in mathematics. Social and cultural factors intervened to mediate their performance and persistence in mathematics. The data made it evident that the participants' individual life experiences and cultural portrayals of what it means to be African American and male dictated their mathematics-related behaviors inside and outside the classroom. -- Abstract.
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 Didactical Phenomenology of Mathematical Structures by : Hans Freudenthal
Download or read book Didactical Phenomenology of Mathematical Structures written by Hans Freudenthal and published by Springer Science & Business Media. This book was released on 2005-11-28 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: The launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Edu cational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ‘ground’ which he has broken here is not new, but aswith Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last.
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 Routledge. This book was released on 2013-05-13 with total page 162 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 Constitution and Production of Mathematics in the Cyberspace by : Maria Aparecida Viggiani Bicudo
Download or read book Constitution and Production of Mathematics in the Cyberspace written by Maria Aparecida Viggiani Bicudo and published by Springer Nature. This book was released on 2020-04-29 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together various studies that assume phenomenology to analyze how mathematics education is affected by the experience of being in the cyberspace. The authors of the chapters included in this contributed volume work with the theoretical framework developed by authors such as Edmund Husserl, Martin Heidegger and Maurice Merleau-Ponty to investigate how mathematics is produced and comprehended in a new way of being in the world, with digital technologies. The aim of this book is not to explain the tools used and how one works with them in the cyberspace, aiming at better teaching and learning mathematics. Its purpose is to present philosophical investigations that contribute to the understanding of the complexity of the world in which we are being researchers and mathematics teachers. By doing so, Constitution and Production of Mathematics in the Cyberspace – A Phenomenological Approach will help researchers and mathematics teachers understand their role in a world in which the experience of teaching and learning mathematics is being radically changed by new technologies and new ways of being in this world.
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 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 2011-10-27 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 A Phenomenological Study of the Shared Experiences of Former Developmental-math Students who Have Successfully Completed a College-level Math Course by : Karen Park Herman
Download or read book A Phenomenological Study of the Shared Experiences of Former Developmental-math Students who Have Successfully Completed a College-level Math Course written by Karen Park Herman and published by . This book was released on 2019 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this transcendental phenomenological study was to describe the shared experiences of former developmental-math students who have successfully completed a college-level math course at a college in the U.S. The theory guiding this study is Schlossberg’s transition theory as it explains the transitions the students make when entering college-level math, taking the college-level math course, and successfully completing the college-level math course (Schlossberg, 1981). The data was drawn from interviews, an online discussion group, focus groups, and questionnaires. The modified Moustakas method was applied to analyzing the data. The data was examined first by horizonalizing the data, giving equal weight to all of the ideas and topics presented in the interview. The data was analyzed to identify and organize the meaning units and then cluster them into common themes. These themes were distilled into the essence of the phenomenon (Moustakas, 1994). The data was carefully examined to discover common themes and arrive at the essence of the phenomenon. Participants in this study were college students who were enrolled in developmental math and continued on to successfully complete a college-level math course. The main question framing the study was: What are the shared experiences of former developmental-math students who have successfully completed a college-level math course? Sub-questions sought to explore the students’ experiences in math classes that preceded enrollment in college-level math courses, their experiences in the college-level math course, and their expectations for the future now that the students have successfully completed a college-level math class.
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 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 Phenomenology and the Formal Sciences by : Thomas M. Seebohm
Download or read book Phenomenology and the Formal Sciences written by Thomas M. Seebohm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thomas A. Fay Heidegger and the Formalization of Thought 1 Dagfinn F011esdal The Justification of Logic and Mathematics in Husserl's Phenomenology 25 Guillermo E. Rosado Haddock On Husserl's Distinction between State of Affairs (Sachverhalt) and Situation of Affairs (Sachlage) ... 35 David Woodruff Smith On Situations and States of Affairs 49 Charles W. Harvey, Jaakko Hintikka Modalization and Modalities ... 59 Gilbert T. Null Remarks on Modalization and Modalities 79 J.N. Mohanty Husserl's Formalism 93 Carl J. Posy Mathematics as a Transcendental Science 107 vi Gian-carlo Rota Mathematics and the Task of Phenomenology 133 John Scalon "Tertium Non Datur:" Husserl's Conception of a Definite Multiplicity ... 139 Thomas M. Seebohm Psychologism Revisited 149 Gerald J. Massey Some Reflections on Psychologism 183 Robert S. Tragesser How Mathematical Foundation all but come about: A Report on Studies Toward a Phenomenological Critique of Godel's Views on Mathematical Intuition. . 195 Kenneth L. Manders On Geometric Intentionality 215 Dallas Willard Sentences which are True in Virtue of their Color ... 225 John J. Drummond Willard and Husserl on Logical Form 243 Index of Names 257 Index of Subjects 259 PREFACE The phenomenology of logic and ideal objects is the topic of Husserl's Logical Investigations. This book determined the early development of the so called phenomenological movement. It is still the main source for many phenomenologists, even if they disagree with Husserl's transcendental turn and developed other phenomenological positions or positions beyond phenomenology he early sense.
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 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 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 Wittgenstein on Thought, Language and Philosophy by : Christoffer Gefwert
Download or read book Wittgenstein on Thought, Language and Philosophy written by Christoffer Gefwert and published by Routledge. This book was released on 2017-11-22 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title was first published in 2000: What was Wittgenstein's relation to "theory of meaning" in his post-1937 writings and what was his characterization of "philosophy" ? How does "philosophy" in Wittgenstein's later writings differ from what is usually accepted in modern academic 'analytic' philosophy? This book discusses problems encountered in looking at Wittgenstein's texts after-1937, focusing particularly on whether the problem of philosophy amounts to a systematic or a theoretical activity. Arguing that philosophy can be characterized as a form of conceptual investigation, Gefwert aims to demonstrate that a theoretical view does not correspond to Wittgenstein's conception of philosophy. For example, philosophy is not transcendental as he thought it was before 1929. Neither is philosophical language universal as Wittgenstein 1929-1936 thought it was. Proposing that a philosophical conceptual investigation is analogous to a psychotherapeutical session of Freud, with the common aim to dissolve the conceptual problems in language that haunt us in our everyday life, Gefwert's examination of the post-1937 writings of Wittgenstein concludes that "philosophical investigation" is a very different activity than that assumed by the Logical Positives and others adhering to a theoretical view.
