Mathematical Problem Solving And New Information Technologies

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Mathematical Problem Solving And New Information Technologies
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Author : Joao P. Ponte
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Mathematical Problem Solving And New Information Technologies written by Joao P. Ponte 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 2013-06-29 with Computers categories.
A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.
Mathematical Problem Solving And New Information Technologies
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Author : Joao P. Ponte
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-08-11
Mathematical Problem Solving And New Information Technologies written by Joao P. Ponte 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 1992-08-11 with Computers categories.
A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.
Mathematical Problem Solving And New Information Technologies
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Author : Joao P. Ponte
language : en
Publisher: Springer
Release Date : 1992-08-11
Mathematical Problem Solving And New Information Technologies written by Joao P. Ponte and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-11 with Computers categories.
A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.
Integrating Research On Teaching And Learning Mathematics
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Author : Elizabeth Fennema
language : en
Publisher: SUNY Press
Release Date : 1991-01-01
Integrating Research On Teaching And Learning Mathematics written by Elizabeth Fennema and has been published by SUNY Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Mathematics categories.
During the last decade there were significant advances in the study of students' learning and problem solving in mathematics, and in the study of classroom instruction. Because these two research programs usually have been conducted individually, it is generally agreed now that there is an increasing need for an integrated research program. This book represents initial discussions and development of a unified paradigm for studying teaching in mathematics that builds upon both cognitive as well as instructional research.
Broadening The Scope Of Research On Mathematical Problem Solving
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Author : Nélia Amado
language : en
Publisher: Springer
Release Date : 2018-11-30
Broadening The Scope Of Research On Mathematical Problem Solving written by Nélia Amado and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-30 with Education categories.
The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.
Mathematical Problem Solving
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Author : ALAN H. SCHOENFELD
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Mathematical Problem Solving written by ALAN H. SCHOENFELD and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.
Invited Lectures From The 13th International Congress On Mathematical Education
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Author : Gabriele Kaiser
language : en
Publisher: Springer
Release Date : 2018-02-05
Invited Lectures From The 13th International Congress On Mathematical Education written by Gabriele Kaiser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-05 with Education categories.
The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited 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.
Advanced Educational Technology In Technology Education
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Author : Anthony Gordon
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-09-29
Advanced Educational Technology In Technology Education written by Anthony Gordon 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 1993-09-29 with Computers categories.
Proceedings of the NATO Advanced Study Institute on Advanced Educational Technology in Technology Education, held in Salford, U.K., August 17-28, 1992
Mathematics Education As A Research Domain A Search For Identity
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Author : Anna Sierpinska
language : en
Publisher: Springer
Release Date : 2013-03-14
Mathematics Education As A Research Domain A Search For Identity written by Anna Sierpinska and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Education categories.
No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.
Multimedia Interface Design In Education
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Author : Alistair D.N. Edwards
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Multimedia Interface Design In Education written by Alistair D.N. Edwards 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 Computers categories.
What the book is about This book is about the theory and practice of the use of multimedia, multimodal interfaces for leaming. Yet it is not about technology as such, at least in the sense that the authors do not subscribe to the idea that one should do something just because it is technologically possible. 'Multimedia' has been adopted in some commercial quarters to mean little more than a computer with some form of audio ar (more usually) video attachment. This is a trend which ought to be resisted, as exemplified by the material in this book. Rather than merely using a new technology 'because it is there', there is a need to examine how people leam and eommunicate, and to study diverse ways in which computers ean harness text, sounds, speech, images, moving pietures, gestures, touch, etc. , to promote effective human leaming. We need to identify which media, in whieh combinations, using what mappings of domain to representation, are appropriate far which educational purposes . . The word 'multimodal ' in the title underlies this perspective. The intention is to focus attention less on the technology and more on how to strueture different kinds of information via different sensory channels in order to yield the best possible quality of communication and educational interaction. (Though the reader should refer to Chapter 1 for a discussion of the use of the word 'multimodal' . ) Historically there was little problem.