Mathematical Problem Solving And New Information Technologies

Author : Joao P. Ponte,Joao F. Matos,Jose M. Matos,Domingos Fernandes
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 46,5 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9783642581427

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Mathematical Problem Solving and New Information Technologies by Joao P. Ponte,Joao F. Matos,Jose M. Matos,Domingos Fernandes Pdf

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.

Author : Joao P. Ponte,Joao F. Matos,Jose M. Matos,Domingos Fernandes
Publisher : Springer
Page : 346 pages
File Size : 47,9 Mb
Release : 1992-08-11
Category : Computers
ISBN : 3540557350

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Mathematical Problem Solving and New Information Technologies by Joao P. Ponte,Joao F. Matos,Jose M. Matos,Domingos Fernandes Pdf

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.

Author : Douglas B. McLeod,Verna M. Adams
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461236146

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Affect and Mathematical Problem Solving by Douglas B. McLeod,Verna M. Adams Pdf

Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.

Author : Susana Carreira,Keith Jones,Nélia Amado,Hélia Jacinto,Sandra Nobre
Publisher : Springer
Page : 255 pages
File Size : 44,8 Mb
Release : 2016-02-19
Category : Education
ISBN : 9783319249100

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Youngsters Solving Mathematical Problems with Technology by Susana Carreira,Keith Jones,Nélia Amado,Hélia Jacinto,Sandra Nobre Pdf

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters’ mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students ́ and teachers ́ perspectives on mathematics learning, especially school compared to beyond-school mathematics.

Author : João Pedro Ponte
Publisher : Unknown
Page : 346 pages
File Size : 50,6 Mb
Release : 1992
Category : Electronic
ISBN : 0540557358

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Mathematical Problem Solving and New Information Technologies by João Pedro Ponte Pdf

Author : Elizabeth Fennema,Thomas P. Carpenter,Susan J. Lamon
Publisher : SUNY Press
Page : 242 pages
File Size : 47,5 Mb
Release : 1991-01-01
Category : Mathematics
ISBN : 0791405222

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Integrating Research on Teaching and Learning Mathematics by Elizabeth Fennema,Thomas P. Carpenter,Susan J. Lamon Pdf

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.

Author : Nélia Amado,Susana Carreira,Keith Jones
Publisher : Springer
Page : 579 pages
File Size : 44,5 Mb
Release : 2018-11-30
Category : Education
ISBN : 9783319998619

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Broadening the Scope of Research on Mathematical Problem Solving by Nélia Amado,Susana Carreira,Keith Jones Pdf

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.

Author : Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick
Publisher : Springer
Page : 402 pages
File Size : 42,8 Mb
Release : 2016-04-29
Category : Education
ISBN : 9783319280233

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Posing and Solving Mathematical Problems by Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick Pdf

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Author : Gabriele Kaiser,Helen Forgasz,Mellony Graven,Alain Kuzniak,Elaine Simmt,Binyan Xu
Publisher : Springer
Page : 786 pages
File Size : 54,5 Mb
Release : 2018-02-05
Category : Education
ISBN : 9783319721705

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Invited Lectures from the 13th International Congress on Mathematical Education by Gabriele Kaiser,Helen Forgasz,Mellony Graven,Alain Kuzniak,Elaine Simmt,Binyan Xu Pdf

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.

Author : Allen Leung,Anna Baccaglini-Frank
Publisher : Springer
Page : 352 pages
File Size : 48,9 Mb
Release : 2016-10-12
Category : Education
ISBN : 9783319434230

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Digital Technologies in Designing Mathematics Education Tasks by Allen Leung,Anna Baccaglini-Frank Pdf

This book is about the role and potential of using digital technology in designing teaching and learning tasks in the mathematics classroom. Digital technology has opened up different new educational spaces for the mathematics classroom in the past few decades and, as technology is constantly evolving, novel ideas and approaches are brewing to enrich these spaces with diverse didactical flavors. A key issue is always how technology can, or cannot, play epistemic and pedagogic roles in the mathematics classroom. The main purpose of this book is to explore mathematics task design when digital technology is part of the teaching and learning environment. What features of the technology used can be capitalized upon to design tasks that transform learners’ experiential knowledge, gained from using the technology, into conceptual mathematical knowledge? When do digital environments actually bring an essential (educationally, speaking) new dimension to classroom activities? What are some pragmatic and semiotic values of the technology used? These are some of the concerns addressed in the book by expert scholars in this area of research in mathematics education. This volume is the first devoted entirely to issues on designing mathematical tasks in digital teaching and learning environments, outlining different current research scenarios.

Author : Yiming Cao,Zsolt Lavicza ,Shuhua An,Lianchun Dong
Publisher : Frontiers Media SA
Page : 408 pages
File Size : 43,5 Mb
Release : 2024-05-31
Category : Science
ISBN : 9782832546901

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Psychological Studies in the Teaching, Learning and Assessment of Mathematics by Yiming Cao,Zsolt Lavicza ,Shuhua An,Lianchun Dong Pdf

There is no doubt that the onset of a new decade has brought high expectations of academic progress for scholars, especially for researchers in mathematics education. The International Group for the Psychology of Mathematics Education was born in 1976, which focused on the international exchange of knowledge in the psychology of mathematics education, the promotion of interdisciplinary research with psychologists, mathematicians and mathematics teachers, and the development of the psychological aspects of teaching and learning mathematics and its implications.

Author : Yin Cheong Cheng,Kwok Tung Tsui,King Wai Chow,Magdalena Mo Ching Mok
Publisher : Springer Science & Business Media
Page : 560 pages
File Size : 41,6 Mb
Release : 2002-03-31
Category : Education
ISBN : 9629490609

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Subject Teaching and Teacher Education in the New Century by Yin Cheong Cheng,Kwok Tung Tsui,King Wai Chow,Magdalena Mo Ching Mok Pdf

This 544-page book has 22 chapters prepared by experienced and renowned scholars and researchers from different parts of the world. Grouped into three sections- "Information Technology, Science and Mathematics", "Social Sciences and General Studies", and "Languages" - the chapters represent an important collection of international endeavours committed to facilitate the much needed paradigm shift in subject curriculum and pedagogy and reinforce the quest for a new knowledge base that can support the search for new conceptions, models, perspectives, innovations, and practices for teaching effectiveness and teacher development in different parts of the world. The target audiences are teacher educators, educators, graduate students, researchers, policy makers and those interested to reform education and teacher education in the new century.

Author : Brigitte Denis
Publisher : Springer Science & Business Media
Page : 305 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Education
ISBN : 9783642580260

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Control Technology in Elementary Education by Brigitte Denis Pdf

Control technology is a new learning environment which offers the opportunity to take up the economic and educational challenge of enabling people to adapt to new technologies and use them to solve problems. Giving young children (and also adults) easy access to control technology introduces them to a learning environment where they can build their knowledge across a range of topics. As they build and program their own automata and robots, they learn to solve problems, work incollaboration, and be creative. They also learn more about science, electronics, physics, computer literacy, computer assisted manufacturing, and so on. This book, based on a NATO Advanced Research Workshop in the Special Programme on Advanced Educational Technology, presents a cross-curricular approach to learning about control technology. The recommended methodology is active learning, where the teacher's role is to stimulate the learner to build knowledge by providing him/her with appropriate materials (hardware and software) and suggestions to develop the target skills. The results are encouraging, although more tools are needed to help the learner to generalize from his/her concrete experiment in control technology as well as to evaluate its effect on the target skills. The contributions not only discuss epistemological controversies linked to such learning environments as control technology, but also report on the state of the art and new developments in the field and present some stimulating ideas.

Author : David L. Ferguson
Publisher : Springer Science & Business Media
Page : 752 pages
File Size : 50,7 Mb
Release : 2013-04-17
Category : Education
ISBN : 9783662029381

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Advanced Educational Technologies for Mathematics and Science by David L. Ferguson Pdf

This book is the outgrowth of a NATO Advanced Research Workshop, held in Milton Keynes (United Kingdom) in the summer of 1990. The workshop brought together about 30 world leaders in the use of advanced technologies in the teaching of mathematics and science. Many of these participants commented that the workshop was one of the more productive and exciting workshops that they had attended. It was not uncommon to see participants engaged in informal discussion far into the evenings and early mornings, long after formal sessions had ended. It is my hope that this book captures the substance and excitement of many of the ideas that were presented at the workshop. Indeed, the process by which this book has come about has given every opportunity for the best thinking to get reflected here. Participants wrote papers prior to the workshop. After the workshop, participants revised the papers at least once. In a few instances, three versions of papers were written. Some participants could not resist the urge to incorporate descriptions of some of the newer developments in their projects. The papers in this book demonstrate how technology is impacting our view of what should be taught, what can be taught, and how we should go about teaching in the various disciplines. As such, they offer great insight into the central issues of teaching and learning in a wide range of disciplines and across many grade levels (ranging from elementary school through undergraduate college education).

Author : Christine Keitel-Kreidt,Kenneth Ruthven
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Education
ISBN : 9783642785429

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Learning from Computers: Mathematics Education and Technology by Christine Keitel-Kreidt,Kenneth Ruthven Pdf

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.