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Visualizing Mathematics

Visualizing Mathematics PDF Author: Kelly S. Mix
Publisher: Springer
ISBN: 3319987674
Category : Education
Languages : en
Pages : 382

Book Description
This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.

Visualizing Mathematics

Visualizing Mathematics PDF Author: Kelly S. Mix
Publisher: Springer
ISBN: 3319987674
Category : Education
Languages : en
Pages : 382

Book Description
This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This volume aims to promote interaction between researchers, not only to provide a more comprehensive view of spatial visualization and mathematics, but also to stimulate innovative new directions in research based on a more coordinated effort. It features ten chapters authored by leading researchers in cognitive psychology and mathematics education, as well as includes dynamic commentaries by mathematics education researchers on cognitive psychology chapters, and by cognitive psychologists on mathematics education chapters. Among the topics included: From intuitive spatial measurement to understanding of units. Spatial reasoning: a critical problem-solving tool in children’s mathematics strategy tool-kit. What processes underlie the relation between spatial skill and mathematics? Learning with and from drawing in early years geometry. Communication of visual information and complexity of reasoning by mathematically talented students. Visualizing Mathematics makes substantial progress in understanding the role of spatial reasoning in mathematical thought and in connecting various subfields of research. It promises to make an impact among psychologists, education scholars, and mathematics educators in the convergence of psychology and education.

Spatial Visualization and Mathematical Problem Solving

Spatial Visualization and Mathematical Problem Solving PDF Author: Mary Ann Konsin
Publisher:
ISBN:
Category : Mathematical ability
Languages : en
Pages : 466

Book Description


Solving Problems In Our Spatial World

Solving Problems In Our Spatial World PDF Author: Guenter Maresch
Publisher: World Scientific
ISBN: 9813278056
Category : Mathematics
Languages : en
Pages : 381

Book Description
'The reference list is excellent. This is a worthwhile (though 'niche') book that will be attractive to a particular sector of the general reading public interested in mathematical riddles and puzzles. Professional educators might well employ it in integrated learning settings. Summing Up: Recommended. All readers.'CHOICEImmerse yourself in the fascinating world of geometry and spatial ability — either individually or in small groups, either as challenges or play problems! Here are four reasons why you should work with this book:This book offers a very unique opportunity to enhance your spatial ability, your mathematical competence, and your logical thinking. The authors arranged 45 problems — including more than 120 tasks — in a well-balanced order, which have been tested with a variety of populations.

Middle Grades Mathematics Project

Middle Grades Mathematics Project PDF Author: Glenda Lappan
Publisher: Addison-Wesley Longman
ISBN: 9780201214734
Category :
Languages : en
Pages :

Book Description
Using a carefully designed instructional model and blackline masters, this series will develop students' critical thinking and problem-solving skills.

Discipline-Based Education Research

Discipline-Based Education Research PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309254140
Category : Education
Languages : en
Pages : 282

Book Description
The National Science Foundation funded a synthesis study on the status, contributions, and future direction of discipline-based education research (DBER) in physics, biological sciences, geosciences, and chemistry. DBER combines knowledge of teaching and learning with deep knowledge of discipline-specific science content. It describes the discipline-specific difficulties learners face and the specialized intellectual and instructional resources that can facilitate student understanding. Discipline-Based Education Research is based on a 30-month study built on two workshops held in 2008 to explore evidence on promising practices in undergraduate science, technology, engineering, and mathematics (STEM) education. This book asks questions that are essential to advancing DBER and broadening its impact on undergraduate science teaching and learning. The book provides empirical research on undergraduate teaching and learning in the sciences, explores the extent to which this research currently influences undergraduate instruction, and identifies the intellectual and material resources required to further develop DBER. Discipline-Based Education Research provides guidance for future DBER research. In addition, the findings and recommendations of this report may invite, if not assist, post-secondary institutions to increase interest and research activity in DBER and improve its quality and usefulness across all natural science disciples, as well as guide instruction and assessment across natural science courses to improve student learning. The book brings greater focus to issues of student attrition in the natural sciences that are related to the quality of instruction. Discipline-Based Education Research will be of interest to educators, policy makers, researchers, scholars, decision makers in universities, government agencies, curriculum developers, research sponsors, and education advocacy groups.

The Cambridge Handbook of Cognition and Education

The Cambridge Handbook of Cognition and Education PDF Author: John Dunlosky
Publisher: Cambridge University Press
ISBN: 1108245102
Category : Psychology
Languages : en
Pages : 1130

Book Description
This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.

Teaching and Learning of mathematics

Teaching and Learning of mathematics PDF Author: Noraini Idris
Publisher: Utusan Publications
ISBN: 9789676117878
Category : Cognitive learning
Languages : en
Pages : 234

Book Description


Teaching and Learning Mathematical Problem Solving

Teaching and Learning Mathematical Problem Solving PDF Author: Edward A. Silver
Publisher: Routledge
ISBN: 1136561161
Category : Education
Languages : en
Pages : 485

Book Description
A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.

Math for Girls and Other Problem Solvers

Math for Girls and Other Problem Solvers PDF Author: Diane Downie
Publisher: University of California, Berkeley, Lawrence Hall of Science
ISBN: 9780912511016
Category : Games in mathematics education
Languages : en
Pages : 0

Book Description
The content focus of the activities is on problem solving rather than on traditional arithmetic skills. Problem solving strands identified are: Using logic, strategies and patterns; Breaking set; Creative thinking, estimating and observing; Spatial visualizing.

Visual Thinking

Visual Thinking PDF Author: Temple Grandin, Ph.D.
Publisher: Penguin
ISBN: 0593418379
Category : Psychology
Languages : en
Pages : 417

Book Description
INSTANT NEW YORK TIMES BESTSELLER WINNER OF THE NAUTILUS GOLD AWARD “A powerful and provocative testament to the diverse coalition of minds we’ll need to face the mounting challenges of the twenty-first century.” —Steve Silberman “An absolute eye-opener.” —Frans de Waal A landmark book that reveals, celebrates, and advocates for the special minds and contributions of visual thinkers A quarter of a century after her memoir, Thinking in Pictures, forever changed how the world understood autism, Temple Grandin— “an anthropologist on Mars,” as Oliver Sacks dubbed her—transforms our awareness of the different ways our brains are wired. Do you have a keen sense of direction, a love of puzzles, the ability to assemble furniture without crying? You are likely a visual thinker. With her genius for demystifying science, Grandin draws on cutting-edge research to take us inside visual thinking. Visual thinkers constitute a far greater proportion of the population than previously believed, she reveals, and a more varied one, from the photo-realistic “object visualizers” like Grandin herself, with their intuitive knack for design and problem solving, to the abstract, mathematically inclined “visual spatial” thinkers who excel in pattern recognition and systemic thinking. She also makes us understand how a world increasingly geared to the verbal tends to sideline visual thinkers, screening them out at school and passing over them in the workplace. Rather than continuing to waste their singular gifts, driving a collective loss in productivity and innovation, Grandin proposes new approaches to educating, parenting, employing, and collaborating with visual thinkers. In a highly competitive world, this important book helps us see, we need every mind on board.