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Solving Problems in Our Spatial World cover

"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."

CHOICE

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:

  1. Train and improve your spatial ability in a well-balanced and structured way! The problems of the book address all subcomponents of spatial ability
  2. 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!
  3. Store geometric objects with various characteristics in the brain! This enhances your ability to solve geometric and spatial and even mathematical tasks.
  4. 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.

Sample Chapter(s)
Four Reasons for Working with this Book
How to Work with the Problems of the Book
Chapter 1: Problems Addressing Visualization

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Contents:
  • Preface
  • About the Authors
  • Four Reasons for Working with this Book:
    • Pedagogical Motivation
    • Scientific Motivation
    • Neurological Motivation
    • Learning in a very Playful Way
  • How to Work with the Problems of the Book:
    • General Annotations
    • How to Start
  • Spatial World Problems:
    • Problems Addressing Visualization
    • Problems Addressing Spatial Relations
    • Problems Addressing Mental Rotation
    • Problems Addressing Spatial Orientation
  • Solutions and Hints:
    • Solutions and Hints of the Problems Addressing Visualization
    • Solutions and Hints of the Problems Addressing Spatial Relations
    • Solutions and Hints of the Problems Addressing Mental Rotation
    • Solutions and Hints of the Problems Addressing Spatial Orientation
  • Folding Templates to be Cut Out:
    • Folding Templates of Problems Addressing Visualization
    • Folding Templates of a Problem Addressing Spatial Relations
    • Folding Templates of a Problem Addressing Spatial Orientation
  • Appendices:
    • How To Get the Interactive 3D Model on an iOS Device
    • How To Get the Interactive 3D Model on a Windows Device
    • How To Get the Interactive 3D Model on an Android Device
  • References

Readership: General public, teachers, educators and students interested in interactive mathematical games & puzzles.
Free Access
FRONT MATTER
  • Pages:i–xxvi

https://doi.org/10.1142/9789813278042_fmatter

Section I Spatial World Problems


Free Access
Chapter 1: Problems Addressing Visualization
  • Pages:3–52

https://doi.org/10.1142/9789813278042_0001

No Access
Chapter 2: Problems Addressing Spatial Relations
  • Pages:53–72

https://doi.org/10.1142/9789813278042_0002

No Access
Chapter 3: Problems Addressing Mental Rotation
  • Pages:73–100

https://doi.org/10.1142/9789813278042_0003

No Access
Chapter 4: Problems Addressing Spatial Orientation
  • Pages:101–143

https://doi.org/10.1142/9789813278042_0004

Section II Solutions and Hints


Free Access
Section II: Solutions and Hints
  • Pages:145–146

https://doi.org/10.1142/9789813278042_others01

No Access
Chapter 5: Solutions and Hints of the Problems Addressing Visualization
  • Pages:147–189

https://doi.org/10.1142/9789813278042_0005

No Access
Chapter 6: Solutions and Hints of the Problems Addressing Spatial Relations
  • Pages:191–219

https://doi.org/10.1142/9789813278042_0006

No Access
Chapter 7: Solutions and Hints of the Problems Addressing Mental Rotation
  • Pages:221–256

https://doi.org/10.1142/9789813278042_0007

No Access
Chapter 8: Solutions and Hints of the Problems Addressing Spatial Orientation
  • Pages:257–291

https://doi.org/10.1142/9789813278042_0008

Section III Folding Templates to be Cut Out


Free Access
Section III: Folding Templates to be Cut Out
  • Pages:293–297

https://doi.org/10.1142/9789813278042_others02

No Access
Chapter 9: Folding Templates of Problems Addressing Visualization
  • Pages:299–332

https://doi.org/10.1142/9789813278042_0009

No Access
Chapter 10: Folding Templates of a Problem Addressing Spatial Relations
  • Pages:333–336

https://doi.org/10.1142/9789813278042_0010

No Access
Chapter 11: Folding Templates of a Problem Addressing Spatial Orientation
  • Pages:337–341

https://doi.org/10.1142/9789813278042_0011

Free Access
BACK MATTER
  • Pages:343–354

https://doi.org/10.1142/9789813278042_bmatter

"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."

CHOICE