Integrating Research on Teaching and Learning Mathematics

Integrating Research on Teaching and Learning Mathematics PDF Author: Elizabeth Fennema
Publisher: SUNY Press
ISBN: 9780791405222
Category : Mathematics
Languages : en
Pages : 242

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Book Description
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 PDF Author: Susana Carreira
Publisher: Springer
ISBN: 331924910X
Category : Education
Languages : en
Pages : 269

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Book Description
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.

Affect and Mathematical Problem Solving

Affect and Mathematical Problem Solving PDF Author: Douglas B McLeod
Publisher:
ISBN: 9781461236153
Category :
Languages : en
Pages : 284

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Book Description


Integrating Research on Teaching and Learning Mathematics

Integrating Research on Teaching and Learning Mathematics PDF Author: Elizabeth Fennema
Publisher: SUNY Press
ISBN: 9780791405222
Category : Mathematics
Languages : en
Pages : 242

Get Book Here

Book Description
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.

Mathematical Problem Solving

Mathematical Problem Solving PDF Author: Peter Liljedahl
Publisher: Springer
ISBN: 3030104729
Category : Education
Languages : en
Pages : 361

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

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Book Description
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

Mathematical Problem Solving PDF Author: ALAN H. SCHOENFELD
Publisher: Elsevier
ISBN: 1483295486
Category : Mathematics
Languages : en
Pages : 426

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Book Description
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.

Exploiting Mental Imagery with Computers in Mathematics Education

Exploiting Mental Imagery with Computers in Mathematics Education PDF Author: Rosamund Sutherland
Publisher: Springer Science & Business Media
ISBN: 3642577717
Category : Computers
Languages : en
Pages : 337

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

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

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

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Book Description
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.