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Author : John David Volmink
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (19 download)
Download or read book Acquisition of Concepts and Construction of Meaning in Geometry written by John David Volmink and published by . This book was released on 1988* with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John David Volmink
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.E/5 ( download)
Download or read book Acquisition of Concepts and Construction of Meaning in Geometry written by John David Volmink and published by . This book was released on 1988 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claudia Zaslavsky
Publisher : Rutgers University Press
ISBN 13 : 9780813520995
Total Pages : 284 pages
Book Rating : 4.5/5 (29 download)
Download or read book Fear of Math written by Claudia Zaslavsky and published by Rutgers University Press. This book was released on 1994 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author offers a host of methods, drawn from many cultures, for tackling real-world math problems and explodes the myth that women and minorities are not good at math.
Author : Jost-Hinrich Eschenburg
Publisher : Springer Nature
ISBN 13 : 3658386401
Total Pages : 168 pages
Book Rating : 4.6/5 (583 download)
Download or read book Geometry - Intuition and Concepts written by Jost-Hinrich Eschenburg and published by Springer Nature. This book was released on 2022-10-31 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the geometry of visual space in all its aspects. As in any branch of mathematics, the aim is to trace the hidden to the obvious; the peculiarity of geometry is that the obvious is sometimes literally before one's eyes.Starting from intuition, spatial concepts are embedded in the pre-existing mathematical framework of linear algebra and calculus. The path from visualization to mathematically exact language is itself the learning content of this book. This is intended to close an often lamented gap in understanding between descriptive preschool and school geometry and the abstract concepts of linear algebra and calculus. At the same time, descriptive geometric modes of argumentation are justified because their embedding in the strict mathematical language has been clarified. The concepts of geometry are of a very different nature; they denote, so to speak, different layers of geometric thinking: some arguments use only concepts such as point, straight line, and incidence, others require angles and distances, still others symmetry considerations. Each of these conceptual fields determines a separate subfield of geometry and a separate chapter of this book, with the exception of the last-mentioned conceptual field "symmetry", which runs through all the others: - Incidence: Projective geometry - Parallelism: Affine geometry - Angle: Conformal Geometry - Distance: Metric Geometry - Curvature: Differential Geometry - Angle as distance measure: Spherical and Hyperbolic Geometry - Symmetry: Mapping Geometry. The mathematical experience acquired in the visual space can be easily transferred to much more abstract situations with the help of the vector space notion. The generalizations beyond the visual dimension point in two directions: Extension of the number concept and transcending the three illustrative dimensions. This book is a translation of the original German 1st edition Geometrie – Anschauung und Begriffe by Jost-Hinrich Eschenburg, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
Author : Peter Gardenfors
Publisher : MIT Press
ISBN 13 : 0262533758
Total Pages : 357 pages
Book Rating : 4.2/5 (625 download)
Download or read book The Geometry of Meaning written by Peter Gardenfors and published by MIT Press. This book was released on 2017-02-24 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel cognitive theory of semantics that proposes that the meanings of words can be described in terms of geometric structures. In The Geometry of Meaning, Peter Gärdenfors proposes a theory of semantics that bridges cognitive science and linguistics and shows how theories of cognitive processes, in particular concept formation, can be exploited in a general semantic model. He argues that our minds organize the information involved in communicative acts in a format that can be modeled in geometric or topological terms—in what he terms conceptual spaces, extending the theory he presented in an earlier book by that name. Many semantic theories consider the meanings of words as relatively stable and independent of the communicative context. Gärdenfors focuses instead on how various forms of communication establish a system of meanings that becomes shared between interlocutors. He argues that these “meetings of mind” depend on the underlying geometric structures, and that these structures facilitate language learning. Turning to lexical semantics, Gärdenfors argues that a unified theory of word meaning can be developed by using conceptual spaces. He shows that the meaning of different word classes can be given a cognitive grounding, and offers semantic analyses of nouns, adjectives, verbs, and prepositions. He also presents models of how the meanings of words are composed to form new meanings and of the basic semantic role of sentences. Finally, he considers the future implications of his theory for robot semantics and the Semantic Web.
Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 53 pages
Book Rating : 4.3/5 (91 download)
Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Author : Frank K. Lester
Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 1380 pages
Book Rating : 4.6/5 (75 download)
Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
Author : CARASS
Publisher : Springer Science & Business Media
ISBN 13 : 147574238X
Total Pages : 411 pages
Book Rating : 4.4/5 (757 download)
Download or read book Proceedings of the Fifth International Congress on Mathematical Education written by CARASS and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Congresses on Mathematical Education (ICMEs), under the auspices of the International Commission on Mathematical Instruction, are held every four years. Previous Congresses have been held in France (Lyons), England (Exeter), the Federal Republic of Germany (Karlsruhe), and the United States of America (Berkeley). The Fifth International Congress on Mathematical Education (lCME 5) was held in Adelaide, Australia, from August 24-30, 1984. More than 1800 participants from over 70 countries participated in the Congress, while some additional 200 people attended social functions and excursions. The program for ICME 5 was planned and structured by an International Program Committee, and implemented by the National Program Committee in Australia. For the main body of the program, Chief Organisers, assisted by Australian Coordinators, were invited to plan and prepare the individual components of the program which addressed a wide range of topics and interest areas. Each of these teams involved many individuals from around the world in the detailed planning and preparation of the working sessions for their area of program responsibility. For the actual working sessions at the Congress, the smallest group had some 60 members, while the largest had well over 300. In addition to the working sessions, there were three major plenary addresses, several specially invited presentations, and over 420 individual papers in the form of short communications, either as posters or brief talks.
Author : Michael Grodzicki
Publisher : Springer Nature
ISBN 13 : 3030745791
Total Pages : 333 pages
Book Rating : 4.0/5 (37 download)
Download or read book Physical Reality – Construction or Discovery? written by Michael Grodzicki and published by Springer Nature. This book was released on 2021-05-03 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a well-grounded account of the methodology of physics, the structure of physical knowledge and theories, and in particular of the relations between theory and experience. An important feature of the book is that all its essential conclusions are elucidated with the help of representative examples from theoretical, molecular and solid state physics. All young physicists as well as physics teachers will find here valuable insights into the philosophy and tools of their trade.
Author : L. Magnani
Publisher : Springer Science & Business Media
ISBN 13 : 9401096228
Total Pages : 284 pages
Book Rating : 4.4/5 (1 download)
Download or read book Philosophy and Geometry written by L. Magnani and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this fascinating story of human knowledge, providing a new analysis of the ideas of many scholars (including Plato, Proclus, Kant, and Poincaré), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive scientists, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are dealt with using a novel combination of both historical and contemporary perspectives. Philosophy and Geometry is a valuable contribution to the renaissance of research in the field.
Author : Ana Helvia Quintero
Publisher : World Scientific
ISBN 13 : 1783268662
Total Pages : 290 pages
Book Rating : 4.7/5 (832 download)
Download or read book Math Makes Sense!: A Constructivist Approach To The Teaching And Learning Of Mathematics written by Ana Helvia Quintero and published by World Scientific. This book was released on 2016-03-02 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics.Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding.The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers.
Author : Konstantin Pollok
Publisher : Cambridge University Press
ISBN 13 : 1107127807
Total Pages : 343 pages
Book Rating : 4.1/5 (71 download)
Download or read book Kant's Theory of Normativity written by Konstantin Pollok and published by Cambridge University Press. This book was released on 2017-02-02 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: A milestone in Kant scholarship, this interpretation of his critical philosophy makes sense of his notorious 'synthetic judgments a priori'.
Author : Emily Carson
Publisher : Routledge
ISBN 13 : 1317407903
Total Pages : 280 pages
Book Rating : 4.3/5 (174 download)
Download or read book Kant: Studies on Mathematics in the Critical Philosophy written by Emily Carson and published by Routledge. This book was released on 2017-12-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a long tradition, in the history and philosophy of science, of studying Kant’s philosophy of mathematics, but recently philosophers have begun to examine the way in which Kant’s reflections on mathematics play a role in his philosophy more generally, and in its development. For example, in the Critique of Pure Reason, Kant outlines the method of philosophy in general by contrasting it with the method of mathematics; in the Critique of Practical Reason, Kant compares the Formula of Universal Law, central to his theory of moral judgement, to a mathematical postulate; in the Critique of Judgement, where he considers aesthetic judgment, Kant distinguishes the mathematical sublime from the dynamical sublime. This last point rests on the distinction that shapes the Transcendental Analytic of Concepts at the heart of Kant’s Critical philosophy, that between the mathematical and the dynamical categories. These examples make it clear that Kant's transcendental philosophy is strongly influenced by the importance and special status of mathematics. The contributions to this book explore this theme of the centrality of mathematics to Kant’s philosophy as a whole. This book was originally published as a special issue of the Canadian Journal of Philosophy.
Author : Ursyn, Anna
Publisher : IGI Global
ISBN 13 : 1799816532
Total Pages : 374 pages
Book Rating : 4.7/5 (998 download)
Download or read book Graphical Thinking for Science and Technology Through Knowledge Visualization written by Ursyn, Anna and published by IGI Global. This book was released on 2019-11-22 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advancement of technology in the modern world, the constant influx of data, information, and computing can become droning and one-dimensional. Re-examining these methods through a different approach helps highlight broader perspectives and further understanding. Applying abstract and holistic methods, such as nature and visualization, to computing technologies is a developing area of study but has yet to be empirically researched. Graphical Thinking for Science and Technology Through Knowledge Visualization provides emerging research exploring the theoretical and practical aspects of implementing visuals and images within data and information. The text contains projects, examples of students’ solutions, and invites the reader to apply graphical thinking. Featuring coverage on a broad range of topics such as nanoscale structures, computer graphics, and data visualization, this book is ideally designed for software engineers, instructional designers, researchers, scientists, artists, marketers, media professionals, and students seeking current research on applying artistic solutions within information and computing.
Author : Deborah K. W. Modrak
Publisher : Cambridge University Press
ISBN 13 : 0521772664
Total Pages : 316 pages
Book Rating : 4.5/5 (217 download)
Download or read book Aristotle's Theory of Language and Meaning written by Deborah K. W. Modrak and published by Cambridge University Press. This book was released on 2001 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about Aristotle's philosophy of language, interpreted in a framework that provides a comprehensive interpretation of Aristotle's metaphysics, philosophy of mind, epistemology and science. The aims of the book are to explicate the description of meaning contained in De Interpretatione and to show the relevance of that theory of meaning to much of the rest of Arisotle's philosophy. In the process Deborah Modrak reveals how that theory of meaning has been much maligned.
Author : Gilles Aldon
Publisher : Springer
ISBN 13 : 331951380X
Total Pages : 681 pages
Book Rating : 4.3/5 (195 download)
Download or read book Mathematics and Technology written by Gilles Aldon and published by Springer. This book was released on 2017-04-05 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects most recent work on the role of technology in mathematics education. It offers fresh insight and understanding of the many ways in which technological resources can improve the teaching and learning of mathematics. The first section of the volume focuses on the question how a proposed mathematical task in a technological environment can influence the acquisition of knowledge and what elements are important to retain in the design of mathematical tasks in computing environments. The use of white smart boards, platforms as Moodle, tablets and smartphones have transformed the way we communicate both inside and outside the mathematics classroom. Therefore the second section discussed how to make efficient use of these resources in the classroom and beyond. The third section addresses how technology modifies the way information is transmitted and how mathematical education has to take into account the new ways of learning through connected networks as well as new ways of teaching. The last section is on the training of teachers in the digital era. The editors of this volume have selected papers from the proceedings of the 65th, 66th and 67th CIEAEM conference, and invited the correspondent authors to contribute to this volume by discussing one of the four important topics. The book continues a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l’Étude et l’Amélioration de l’Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.
Author : Michael S. Schiro
Publisher : John Wiley & Sons
ISBN 13 : 047034475X
Total Pages : 342 pages
Book Rating : 4.4/5 (73 download)
Download or read book Mega-Fun Math Games and Puzzles for the Elementary Grades written by Michael S. Schiro and published by John Wiley & Sons. This book was released on 2009-02-24 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make developing basic math skills fun and painless With this great collection of over 125 easy-to-use games, puzzles, and activities, teachers and parents can help kids comprehend fundamental math concepts, including addition, subtraction, multiplication, division, place value, fractions, and more. All games and puzzles use easy-to-find household items such as paper and pencil, playing cards, coins, and dice. The activities also help children develop problem-solving skills, such as testing hypotheses, creating strategies, and organizing information, as well as spatial relations skills, part-to-whole skills, and memory. Michael Schiro, EdD (Chestnut Hill, MA), is an associate professor at the School of Education at Boston College. He is the author of several books on teaching and learning math and is a frequent presenter at local and national math conferences.
