Affect and Mathematical Problem Solving

Affect and Mathematical Problem Solving

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  • Author: Douglas B. McLeod
  • Publisher: Springer Science & Business Media
  • ISBN: 1461236142
  • Category : Mathematics
  • Languages : en
  • Pages : 246

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.


Integrating Research on Teaching and Learning Mathematics

Integrating Research on Teaching and Learning Mathematics

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  • Author: Elizabeth Fennema
  • Publisher: SUNY Press
  • ISBN: 9780791405222
  • Category : Mathematics
  • Languages : en
  • Pages : 242

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.


Youngsters Solving Mathematical Problems with Technology

Youngsters Solving Mathematical Problems with Technology

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  • Author: Susana Carreira
  • Publisher:
  • ISBN: 9783319249094
  • Category : Educational technology
  • Languages : en
  • Pages :

This book investigates problem solving approaches to mathematical problems that youngsters use in the wake of the growing availability of digital technologies, and how these approaches can be effective and productive for their unique needs. The empirical research, conducted in the Problem@Web project, delves into the many ways in which students can achieve the solution to a mathematical problem and communicate it with the technological tools they have at their disposal, either in their home environment or in their mathematics classroom. The researchers then address the implications for the future study of a broadened perspective on mathematical problem solving with technology. In addition to exploring how technology has changed mathematical problem solving, the book also provides: A well-developed theoretical framework that integrates the use of technology into mathematical problem-solving Insightful analysis of the young participants' methods of mathematical problem solving, in addition to their teachers and families Examples of student solutions, together with the students' explanations of how they achieved their solution Youngsters Solving Mathematical Problems with Technology is an extremely valuable resource for any researcher or educator interested in mat hematics education, technology in education, or the intersection of both.>.


Mathematical Problem Solving

Mathematical Problem Solving

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  • Author: Peter Liljedahl
  • Publisher: Springer
  • ISBN: 3030104729
  • Category : Education
  • Languages : en
  • Pages : 361

This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.


Mathematical Problem Solving and New Information Technologies

Mathematical Problem Solving and New Information Technologies

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  • Author: Joao P. Ponte
  • Publisher: Springer Science & Business Media
  • ISBN: 3642581420
  • Category : Computers
  • Languages : en
  • Pages : 361

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.


Knowing What Students Know

Knowing What Students Know

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  • Author: National Research Council
  • Publisher: National Academies Press
  • ISBN: 0309293227
  • Category : Education
  • Languages : en
  • Pages : 383

Education is a hot topic. From the stage of presidential debates to tonight's dinner table, it is an issue that most Americans are deeply concerned about. While there are many strategies for improving the educational process, we need a way to find out what works and what doesn't work as well. Educational assessment seeks to determine just how well students are learning and is an integral part of our quest for improved education. The nation is pinning greater expectations on educational assessment than ever before. We look to these assessment tools when documenting whether students and institutions are truly meeting education goals. But we must stop and ask a crucial question: What kind of assessment is most effective? At a time when traditional testing is subject to increasing criticism, research suggests that new, exciting approaches to assessment may be on the horizon. Advances in the sciences of how people learn and how to measure such learning offer the hope of developing new kinds of assessments-assessments that help students succeed in school by making as clear as possible the nature of their accomplishments and the progress of their learning. Knowing What Students Know essentially explains how expanding knowledge in the scientific fields of human learning and educational measurement can form the foundations of an improved approach to assessment. These advances suggest ways that the targets of assessment-what students know and how well they know it-as well as the methods used to make inferences about student learning can be made more valid and instructionally useful. Principles for designing and using these new kinds of assessments are presented, and examples are used to illustrate the principles. Implications for policy, practice, and research are also explored. With the promise of a productive research-based approach to assessment of student learning, Knowing What Students Know will be important to education administrators, assessment designers, teachers and teacher educators, and education advocates.


Exploiting Mental Imagery with Computers in Mathematics Education

Exploiting Mental Imagery with Computers in Mathematics Education

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  • Author: Rosamund Sutherland
  • Publisher: Springer Science & Business Media
  • ISBN: 3642577717
  • Category : Computers
  • Languages : en
  • Pages : 337

The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.


Organizational Learning and Technological Change

Organizational Learning and Technological Change

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  • Author: Cristina Zucchermaglio
  • Publisher: Springer Science & Business Media
  • ISBN: 3642795501
  • Category : Computers
  • Languages : en
  • Pages : 383

What the Book Is About This book is about the problem of organizational learning, that is the analysis of organizations conceived as learning systems. In order to survive in a period of a rapid change, organizations must innovate and than to develop and exploit their abilities to learn. The most innovative organizations are those that can respond with great efficiency to internal and external changes. They respond to and generate technological change by acting as effective learning systems. They maximize the learning potential of ongoing and "normal" work activities. The organizational structure and the technology allow members to learn while the organizations itself learns from its members. So organizations reach high levels of innovation when structured to take advantage of the social, distributed, participative, situated processes of learning developed by its members in interaction with the technological environment. Organizations should consider learning as an explicit "productive" objective. They must create integrated learning mechanisms, that encompass technological tools, reward and incentive systems, human resource practices, belief systems, access to information, communication and mobility patterns, performance appraisal systems, organizational practices and structures. The design of efficient learning organizations requires cognitive, technological and social analyses. All the computer-based technologies (e. g. office automation, communication and group decision support) not only those devoted to and used in training activities, have to be considered as tools for organizational learning and innovation.


User-Centred Requirements for Software Engineering Environments

User-Centred Requirements for Software Engineering Environments

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  • Author: David J. Gilmore
  • Publisher: Springer Science & Business Media
  • ISBN: 3662030357
  • Category : Computers
  • Languages : en
  • Pages : 364

The idea for this workshop originated when I came across and read Martin Zelkowitz's book on Requirements for Software Engineering Environments (the proceedings of a small workshop held at the University of Maryland in 1986). Although stimulated by the book I was also disappointed in that it didn't adequately address two important questions - "Whose requirements are these?" and "Will the environment which meets all these requirements be usable by software engineers?". And thus was the decision made to organise this workshop which would explicitly address these two questions. As time went by setting things up, it became clear that our workshop would happen more than five years after the Maryland workshop and thus, at the same time as addressing the two questions above, this workshop would attempt to update the Zelkowitz approach. Hence the workshop acquired two halves, one dominated by discussion of what we already know about usability problems in software engineering and the other by discussion of existing solutions (technical and otherwise) to these problems. This scheme also provided a good format for bringing together those in the HeI community concerned with the human factors of software engineering and those building tools to solve acknowledged, but rarely understood problems.


Microcomputer-Based Labs: Educational Research and Standards

Microcomputer-Based Labs: Educational Research and Standards

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  • Author: Robert F. Tinker
  • Publisher: Springer Science & Business Media
  • ISBN: 3642611893
  • Category : Computers
  • Languages : en
  • Pages : 399

Microcomputer-based labs, the use of real-time data capture and display in teaching, give the learner new ways to explore and understand the world. As this book shows, the international effort over a quarter-century to develop and understand microcomputer-based labs (MBL) has resulted in a rich array of innovative implementations and some convincing evidence for the value of computers for learning. The book is a sampler of MBL work by an outstanding international group of scientists and educators, based on papers they presented at a seminar held as part of the NATO Special Programme on Advanced Educational Technology. The story they tell of the development of MBL offers valuable policy lessons on how to promote educational innovation. The book will be of interest to a wide range of educators and to policy makers.