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
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.

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.

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.

Making Spatial Decisions Using GIS

Making Spatial Decisions Using GIS PDF Author: Kathryn Keranen
Publisher: ESRI, Inc.
ISBN: 1589481836
Category : Education
Languages : en
Pages : 214

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Book Description
"Making Spatial Decisions Using GIS, level 4 of the Our World GIS Education series, allows students to experience the GIS decision-making process in real-world settings. Designed for an upper-level high school or college curriculum, the five modules in this book invite students to perform sophisticated analyses in a variety of content areas. The projects in this book encourage students to make not only maps but also the type of spatial decisions that confront professionals in all walks of life. The five modules pose decisions that will have students examine location criteria, population patterns, chemical spills, storm-ravaged coastlines, and big-city crime." "Making Spatial Decisions Using GIS presumes prior GIS experience and offers step-by-step instruction along with guidelines for more independent study. This book contains all you need to complete GIS projects, including GIS software, data, and worksheets. Companion DVDs provide a wealth of instructional resources to supplement each book. Teachers new to GIS will benefit from detailed notes and suggestions for presenting the material." "The projects in this book are connected to a variety of subject areas, such as business, government, and public administration. By completing the projects, students improve their skills in critical thinking, communication, technology, and problem-solving as delineated by the Partnership for 21st Century Skills."--BOOK JACKET.

Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume I - Competition-ready Mathematics

Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume I - Competition-ready Mathematics PDF Author: Robert Geretschlager
Publisher: World Scientific
ISBN: 9811205841
Category : Mathematics
Languages : en
Pages : 193

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Book Description
The two volumes of Engaging Young Students in Mathematics through Competitions present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.Volume I contains a wide variety of fascinating mathematical problems of the type often presented at mathematics competitions as well as papers by an international group of authors involved in problem development, in which we can get a sense of how such problems are created in various specialized areas of competition mathematics as well as recreational mathematics.It will be of special interest to anyone interested in solving original mathematics problems themselves for enjoyment to improve their skills. It will also be of special interest to anyone involved in the area of problem development for competitions, or just for recreational purposes.The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.

Geometry In Our Three-dimensional World

Geometry In Our Three-dimensional World PDF Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9811237123
Category : Mathematics
Languages : en
Pages : 441

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Book Description
The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses — this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.

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.

Creative Secondary School Mathematics: 125 Enrichment Units For Grades 7 To 12

Creative Secondary School Mathematics: 125 Enrichment Units For Grades 7 To 12 PDF Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9811240442
Category : Mathematics
Languages : en
Pages : 556

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Book Description
There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units — ranging from grades 7 through 12 — that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!

How Not to Be Wrong

How Not to Be Wrong PDF Author: Jordan Ellenberg
Publisher: Penguin Press
ISBN: 1594205221
Category : Mathematics
Languages : en
Pages : 480

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Book Description
A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.