Intelligence Learning And Understanding In Mathematics
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Intelligence Learning And Understanding In Mathematics
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Author : David Tall
language : en
Publisher:
Release Date : 2002
Intelligence Learning And Understanding In Mathematics written by David Tall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The Psychology Of Learning Mathematics
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Author : Richard R. Skemp
language : en
Publisher: Psychology Press
Release Date : 1987
The Psychology Of Learning Mathematics written by Richard R. Skemp and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Education categories.
First Published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.
The Psychology Of Learning Mathematics
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Author : Richard R. Skemp
language : en
Publisher: Routledge
Release Date : 2012-08-06
The Psychology Of Learning Mathematics written by Richard R. Skemp and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-06 with Education categories.
This classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese), has been revised for this American Edition to include the author's most recent findings on the formation of mathematical concepts, different kinds of imagery, interpersonal and emotional factors, and a new model of intelligence. The author contends that progress in the areas of learning and teaching mathematics can only be made when such factors as the abstract and hierarchical nature of mathematics, the relation to mathematical symbolism and the distinction between intelligent learning and rote memorization are taken into account and instituted in the classroom.
Learning From Computers Mathematics Education And Technology
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Author : Christine Keitel-Kreidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Learning From Computers Mathematics Education And Technology written by Christine Keitel-Kreidt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
The NATO Advanced Research Workshop on Mathematics Education and Technology was held in Villard-de-Lans, France, between May 6 and 11, 1993. Organised on the initiative of the BaCoMET (Basic Components of Mathematics Education for Teachers) group (Christiansen, Howson and Otte 1986; Bishop, Mellin-Olsen and van Dormolen 1991), the workshop formed part of a larger NATO programme on Advanced Educational Technology. Some workshop members had already participated in earlier events in this series and were able to contribute insights from them: similarly some members were to take part in later events. The problematic for the workshop drew attention to important speculative developments in the applications of advanced information technology in mathematics education over the last decade, notably intelligent tutoring, geometric construction, symbolic algebra and statistical analysis. Over the same period, more elementary forms of information technology had started to have a significant influence on teaching approaches and curriculum content: notably arithmetic and graphic calculators; standard computer tools, such as spreadsheets and databases; and computer-assisted learning packages and computer microworlds specially designed for educational purposes.
Mathematical Intelligence
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Author : Junaid Mubeen
language : en
Publisher: Profile Books
Release Date : 2022-06-02
Mathematical Intelligence written by Junaid Mubeen and has been published by Profile Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-02 with Mathematics categories.
There's so much talk about the threat posed by intelligent machines that it sometimes seems as though we should surrender to our robot overlords. But Junaid Mubeen isn't ready to throw in the towel just yet. As far as he is concerned, we have the creative edge over machines, because of a remarkable system of thought that humans have developed over the millennia. It's familiar to us all, but often badly taught in schools and misrepresented in popular discourse - maths. Computers are, of course, brilliant at totting up sums, pattern-seeking and performing mindless tasks of, well, computation. For all things calculation, machines reign supreme. But Junaid identifies seven areas of intelligence where humans can retain a crucial edge. And in exploring these areas, he opens up a fascinating world where we can develop our uniquely human mathematical superpowers.
Mathematics Education In The Age Of Artificial Intelligence
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Author : Philippe R. Richard
language : en
Publisher: Springer Nature
Release Date : 2022-03-09
Mathematics Education In The Age Of Artificial Intelligence written by Philippe R. Richard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-09 with Education categories.
This book highlights the contribution of artificial intelligence for mathematics education. It provides concrete ideas supported by mathematical work obtained through dynamic international collaboration, and discusses the flourishing of new mathematics in the contemporary world from a sustainable development perspective. Over the past thirty years, artificial intelligence has gradually infiltrated all facets of society. When it is deployed in interaction with the human designer or user, AI certainly raises new ethical questions. But as soon as it aims to augment intelligence in a kind of human-machine partnership, it goes to the heart of knowledge development and the very performance of work. The proposed themes and the sections of the book address original issues relating to the creation of AI milieus to work on mathematics, to the AI-supported learning of mathematics and to the coordination of « usual » paper/pencil techniques and « new » AI-aided educational working spaces. The authors of the book and the coordinators of each section are all established specialists in mathematics didactics, mathematics and computer science. In summary, this book is a must-read for everyone interested in the teaching and learning of mathematics, and it concerns the interaction between the human and the machine in both directions. It contains ideas, questions and inspiration that invite to take up the challenge of Artificial Intelligence contributing to Mathematical Human Learning.
Windows On Mathematical Meanings
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Author : Richard Noss
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Windows On Mathematical Meanings written by Richard Noss and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.
Culture And Cognitive Development
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Author : Geoffrey B. Saxe
language : en
Publisher: Psychology Press
Release Date : 2015-01-28
Culture And Cognitive Development written by Geoffrey B. Saxe and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-28 with Psychology categories.
Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in school and in real-world settings. In this unique research project he presents a penetrating conceptual treatment of the interplay between culture and cognitive development, filling a void in current research literature. Subjects examined include: the interplay between sociocultural and cognitive developmental processes the differences between math knowledge learned in and out of the classroom the ways math learning in the classroom is modified by children's out-of-school mathematics and, correspondingly, how practical out-of-school mathematics use is modified by formal education
Learning Mathematics
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Author : Robert Benjamin Davis
language : en
Publisher: Praeger
Release Date : 1984
Learning Mathematics written by Robert Benjamin Davis and has been published by Praeger this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Education categories.
There has long been dispute in mathematics between the drill and practice orientation that focuses primarily on memorizing mathematics as meaningless rote algorithms and the approach based on understanding and making creative use of mathematics. This 25-chapter book, based on a 7-year study at the University of Illinois, seeks to explain and diffuse this controversy by taking a broad view of the cognitive science approach to the teaching and learning of mathematics. This explanation of the processes of mathematical calculation owes much to the new approach to the study of knowledge, which has been developed from Jean Piaget's observation of child behavior and the broad range of new research into artificial intelligence. It is essentially concerned with providing a deeper understanding of the thought processes that are involved in mathematical thinking; what goes on inside children's heads as they learn mathematics and do mathematical problem-solving. Among the areas considered are: the cognitive science approach to mathematics education; deficiency in typical school curricula; the nature of representations; the "paradigm" teaching strategy; recognition problems; retrieval, construction, and mapping; and basic concepts used to facilitate the discussion of human information processing as it related to solving mathematical problems. (JN)
Cognitive Foundations For Improving Mathematical Learning
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Author : David C. Geary
language : en
Publisher: Academic Press
Release Date : 2019-01-30
Cognitive Foundations For Improving Mathematical Learning written by David C. Geary and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Psychology categories.
Cognitive Foundations for Improving Mathematical Learning, Volume 5, the latest release in the Mathematical Cognition and Learning series, focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. Chapters cover the use of numerical play and games for improving foundational number knowledge, school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. In addition, the book examines learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and more. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties