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Mathematicians As Enquirers
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Book Synopsis Mathematicians as Enquirers by : Leone L. Burton
Download or read book Mathematicians as Enquirers written by Leone L. Burton and published by Springer Science & Business Media. This book was released on 2004-04-30 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is amazing that the usual reply to being introduced to a mathematician is a stumbling apology about how bad someone is at mathematics, no matter how good they may be in reality. The problem is that we have come to view mathematics as an arcane branch of knowledge that only a few can aspire to understand or grasp. The sense of separation between those who have the knowledge and those who do not, is present even amongst academics where many of the same skills and research practices exist - intuition, the use of symbolic structures and the use of intuition and insight. The more worrying aspect of this separation is the ever declining numbers of students choosing mathematics as part of their curriculum beyond the stage when it is mandatory. Even worse, it would seem that the mathematics community has created a discriminatory environment that deters many students from continuing beyond secondary and tertiary education. Exit interviews with graduates show a stark rejection of their previously chosen subject. What about mathematicians themselves - how do they see themselves? Do male and female mathematicians come to know their mathematics in different ways, do they tackle different problems with varying results for their status in the research community? Does the pervasive labelling that mathematics is a male domain arise because of a lack of role models for women or through its highly competitive, hierarchical nature? Are the negative labels often associated with mathematics, i. e.
Book Synopsis Mathematics Education within the Postmodern by : Margaret Walshaw
Download or read book Mathematics Education within the Postmodern written by Margaret Walshaw and published by IAP. This book was released on 2004-06-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely and accessible book presents a challenge to accepted wisdoms about both the nature of mathematics and of education. The authors of this groundbreaking volume bring to bear on this intersection a postmodern sensibility that engages with the grand narratives of mathematics education. Thus they provide a key resource for rethinking theory and practice in mathematics education. Each of the chapters develops important insights for mathematics education from mainly French intellectuals of the past: Foucault, Lacan, Lyotard, Deleuze. Each chapter addresses issues relevant to mathematics education, researching and teaching mathematics.
Book Synopsis Mathematical Subjects by : Fiona Walls
Download or read book Mathematical Subjects written by Fiona Walls and published by Springer Science & Business Media. This book was released on 2009-08-10 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching and learning mathematics is a political act in which children, teachers, parents, and policy makers are made visible as subjects. As they learn about mathematics, children are also learning about themselves – who they are, who they might become. We can choose to listen or not to what children have to say about learning mathematics. Such choices constitute us in relations of power. Mathematical know-how is widely regarded as essential not only to the life chances of individuals, but also to the health of communities and the economic well-being of nations. With the globalisation of education in an increasingly market-oriented world, mathematics has received intensified attention in the first decade of the twenty-first century with a shifting emphasis on utilitarian aspects of mathematics. This is reflected in the reconceptualisation of mathematical competence as mathematical literacy, loosely conceived as those ways of thinking, reasoning and working “mathematically” that allow us to engage effectively in everyday situations, in many occupations, and the cut and thrust of world economies as active, empowered and participatory citizens. It is no surprise then that mathematics has become one of the most politically charged subjects in primary school curricula worldwide. We are experiencing an unprecedented proliferation of regional and national strategies to establish benchmarks, raise standards, enhance achievement, close gaps, and leave no child behind in mathematics education. Industries have sprung up around the design, administration and monitoring of standardised assessment to measure and compare children’s mathematical achievement against identified benchmarks and each other.
Book Synopsis Handbook of International Research in Mathematics Education by : Lyn D. English
Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2015-07-30 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field.
Book Synopsis New Directions for Situated Cognition in Mathematics Education by : Anne Watson
Download or read book New Directions for Situated Cognition in Mathematics Education written by Anne Watson and published by Springer Science & Business Media. This book was released on 2008-01-03 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws together a range of papers by experienced writers in mathematics education who have used the concept of situated cognition in their research within recent years. No other books are available which take this view specifically in mathematics education. Thus it provides an up-to-date overview of developments and applications to which other researchers can refer and which will inspire future research.
Book Synopsis Becoming a Mathematician by : Leigh N Wood
Download or read book Becoming a Mathematician written by Leigh N Wood and published by Springer Science & Business Media. This book was released on 2012-02-13 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers the views of participants in the process of becoming a mathematician, that is, the students and the graduates. This book investigates the people who carry out mathematics rather than the topics of mathematics. Learning is about change in a person, the development of an identity and ways of interacting with the world. It investigates more generally the development of mathematical scientists for a variety of workplaces, and includes the experiences of those who were not successful in the transition to the workplace as mathematicians. The research presented is based on interviews, observations and surveys of students and graduates as they are finding their identity as a mathematician. The book contains material from the research carried out in South Africa, Northern Ireland, Canada and Brunei as well as Australia.
Book Synopsis Selected Regular Lectures from the 12th International Congress on Mathematical Education by : Sung Je Cho
Download or read book Selected Regular Lectures from the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-07-16 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
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 Teaching and Learning Mathematical Modelling by : Gilbert Greefrath
Download or read book Teaching and Learning Mathematical Modelling written by Gilbert Greefrath and published by Springer. This book was released on 2016-08-20 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.
Book Synopsis Advances in Mathematics Education Research on Proof and Proving by : Andreas J. Stylianides
Download or read book Advances in Mathematics Education Research on Proof and Proving written by Andreas J. Stylianides and published by Springer. This book was released on 2018-01-10 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.
Author :Maria Chionidou-Moskofoglou Publisher :Edicions Universitat Barcelona ISBN 13 :8447532259 Total Pages :204 pages Book Rating :4.4/5 (475 download)
Book Synopsis Promoting Equity in Maths Achievement. The Current discussion by : Maria Chionidou-Moskofoglou
Download or read book Promoting Equity in Maths Achievement. The Current discussion written by Maria Chionidou-Moskofoglou and published by Edicions Universitat Barcelona. This book was released on 2008-02-08 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented in this volume is a kaleidoscopic view of the research done in the PREMA project (Promoting Equity in Maths Achievement. Proceedings of the Project's Workshops), which was a twenty months research study type of project funded under the "General Activities of Observation, Analysis and Innovation" of the Socrates Programme (European Commission, DG for Education and Culture). The research is enrooted on the position that the achievement of Europe's Lisbon goal set in March 2000 is dependent on the extend to which Europe will utilize all of its human resources and its rich socio-cultural heritage
Book Synopsis Meaning in Mathematics Education by : Jeremy Kilpatrick
Download or read book Meaning in Mathematics Education written by Jeremy Kilpatrick and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.
Book Synopsis Humans-with-Media and the Reorganization of Mathematical Thinking by : Marcelo C. Borba
Download or read book Humans-with-Media and the Reorganization of Mathematical Thinking written by Marcelo C. Borba and published by Springer Science & Business Media. This book was released on 2005-03-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Discussion focuses on how computers, writing and oral discourse transform education at an epistemological as well as a political level. Building on examples, research and theory, the authors propose that knowledge is not constructed solely by humans, but by collectives of humans and technologies of intelligence.
Book Synopsis Mathematical Relationships in Education by : Laura Black
Download or read book Mathematical Relationships in Education written by Laura Black and published by Routledge. This book was released on 2011-01-13 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: While demand for the mathematically literate citizen increases, many learners continue to reject mathematics and experience it as excluding and exclusive, even when they succeed at it. In exploring this phenomenon, this volume examines the ways in which learners form particular relationships with mathematics in the context of formal schooling.
Book Synopsis The Construction of New Mathematical Knowledge in Classroom Interaction by : Heinz Steinbring
Download or read book The Construction of New Mathematical Knowledge in Classroom Interaction written by Heinz Steinbring and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.
Book Synopsis Inventing the Mathematician by : Sara N. Hottinger
Download or read book Inventing the Mathematician written by Sara N. Hottinger and published by SUNY Press. This book was released on 2016-03-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers how our ideas about mathematics shape our individual and cultural relationship to the field. Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of mathematics contribute to our cultural understanding of mathematics: mathematics textbooks, the history of mathematics, portraits of mathematicians, and the field of ethnomathematics. Hottinger examines how these discourses shape mathematical subjectivity by limiting the way some groupsincluding women and people of colorare able to see themselves as practitioners of math. Inventing the Mathematician provides a blueprint for how to engage in a deconstructive project, revealing the limited and problematic nature of the normative construction of mathematical subjectivity.
Book Synopsis Understanding Emotions in Mathematical Thinking and Learning by : Ulises Xolocotzin
Download or read book Understanding Emotions in Mathematical Thinking and Learning written by Ulises Xolocotzin and published by Academic Press. This book was released on 2017-05-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. - Covers methodologies in studying emotion in mathematical knowledge - Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition - Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches - Explores the role of anxiety in mathematical learning - Synthesizes unifies the work of multiple sub-disciplines in one place
