Solving Problems in Our Spatial World

Solving Problems in Our Spatial World PDF Author: Guenter Maresch
Publisher: World Scientific Publishing Company
ISBN: 9789813278035
Category : Problem solving
Languages : en
Pages : 0

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Book Description
Immerse 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: Train and improve your spatial ability in a well-balanced and structured way! The problems of the book address all subcomponents of spatial ability Train spatial ability on all three levels in which we learn mathematics! The haptic way, figurative way, symbolic and mostly mental way, or a combination of all three! Store geometric objects with various characteristics in the brain! This enhances your ability to solve geometric and spatial and even mathematical tasks. Hours of fun! From the several thousand students and adults who worked with the problems of the book, we know that it is fun solving these problems in a variety of ways. 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.

Solving Problems in Our Spatial World

Solving Problems in Our Spatial World PDF Author: Guenter Maresch
Publisher: World Scientific Publishing Company
ISBN: 9789813278035
Category : Problem solving
Languages : en
Pages : 0

Get Book Here

Book Description
Immerse 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: Train and improve your spatial ability in a well-balanced and structured way! The problems of the book address all subcomponents of spatial ability Train spatial ability on all three levels in which we learn mathematics! The haptic way, figurative way, symbolic and mostly mental way, or a combination of all three! Store geometric objects with various characteristics in the brain! This enhances your ability to solve geometric and spatial and even mathematical tasks. Hours of fun! From the several thousand students and adults who worked with the problems of the book, we know that it is fun solving these problems in a variety of ways. 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.

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

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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.

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

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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.

Learning to Think Spatially

Learning to Think Spatially PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309092086
Category : Education
Languages : en
Pages : 333

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Book Description
Learning to Think Spatially examines how spatial thinking might be incorporated into existing standards-based instruction across the school curriculum. Spatial thinking must be recognized as a fundamental part of Kâ€"12 education and as an integrator and a facilitator for problem solving across the curriculum. With advances in computing technologies and the increasing availability of geospatial data, spatial thinking will play a significant role in the information-based economy of the twenty-first century. Using appropriately designed support systems tailored to the Kâ€"12 context, spatial thinking can be taught formally to all students. A geographic information system (GIS) offers one example of a high-technology support system that can enable students and teachers to practice and apply spatial thinking in many areas of the curriculum.

Mathematics Entertainment For The Millions

Mathematics Entertainment For The Millions PDF Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9811219303
Category : Mathematics
Languages : en
Pages : 304

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Book Description
'The physical form of this new title is pleasing, including good paper, readable font, and durable binding … The book is not a collection of practical ideas. Rather, it is intended for those curious about pure mathematical tidbits. The flavor is light, as opposed to pedantic. Among the numerous books of this type, this title is significantly better than most. It should be considered for private collections and for libraries that can afford to serve a small, unique readership.Summing Up: Recommended. General readers.'CHOICEThis book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations.The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level.Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics — to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics — something most general readers will not initially find possible, but we hope will be an end product of this book.

Innovative Teaching: Best Practices From Business And Beyond For Mathematics Teachers

Innovative Teaching: Best Practices From Business And Beyond For Mathematics Teachers PDF Author: Denise H Sutton
Publisher: World Scientific
ISBN: 9811231680
Category : Mathematics
Languages : en
Pages : 222

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Book Description
Innovative Teaching: Best Practices from Business and Beyond for Mathematics Teachers provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world — and beyond — are applicable to the world of education. It also offers educators practical advice with regard to the changing culture of education, keeping up with technology, navigating politics at work, interacting with colleagues, developing leadership skills, group behavior, and gender differences.Innovative Teaching demonstrates how the classroom environment is similar to the marketplace. Educators, like businesses, for example, must capture and hold the attention of their audience while competing with a constant stream of 'noise.' With the introduction of the Internet and the wide use of social media, promoters understand that they must not only engage their audience, but also incorporate audience feedback into the promotional work and product or service they offer. Innovative Teaching shows educators how to take the best practices from business — and beyond — and recombine these resources for appropriate use in the classroom.

How Not to Be Wrong

How Not to Be Wrong PDF Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 0143127535
Category : Mathematics
Languages : en
Pages : 482

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Book Description
“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Representations in Mind and World

Representations in Mind and World PDF Author: Jeffrey M. Zacks
Publisher: Psychology Press
ISBN: 1351689959
Category : Psychology
Languages : en
Pages : 237

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Book Description
This volume pulls together interdisciplinary research on cognitive representations in the mind and in the world. The chapters—from cutting-edge researchers in psychology, philosophy, computer science, and the arts—explore how structured representations determine cognition in memory, spatial cognition information visualization, event comprehension, and gesture. It will appeal to graduate-level cognitive scientists, technologists, philosophers, linguists, and educators.

The Spatial Foundations of Cognition and Language

The Spatial Foundations of Cognition and Language PDF Author: Kelly S. Mix
Publisher: Oxford University Press
ISBN: 0199553246
Category : Language Arts & Disciplines
Languages : en
Pages : 336

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Book Description
This book presents recent research on the role of space as a mechanism in language use and learning. Experimental psychologists, computer scientists, robotocists, linguists, and researchers in child language consider the nature and applications of this research and its implications for understanding the processes involved in language acquisition.

Abduction, Reason and Science

Abduction, Reason and Science PDF Author: L. Magnani
Publisher: Springer Science & Business Media
ISBN: 144198562X
Category : Science
Languages : en
Pages : 273

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Book Description
This book ties together the concerns of philosophers of science and AI researchers, showing for example the connections between scientific thinking and medical expert systems. It lays out a useful general framework for discussion of a variety of kinds of abduction. It develops important ideas about aspects of abductive reasoning that have been relatively neglected in cognitive science, including the use of visual and temporal representations and the role of abduction in the withdrawal of hypotheses.