Constructing Theories: A Case Study in Geometry, with an Excursion into Biology

By KP Mohanan and Tara Mohanan

Constructing Theories: A Case Study in Geometry, with an Excursion into Biology

By KP Mohanan and Tara Mohanan

This book is an attempt to introduce the reader to the art and craft of theory construction. While we use geometry as the terrain for practice, our focus is on the methodological strategies and techniques of value in all domains of theory construction, not on the ‘facts’ of geometry that students learn in textbooks. We expect the series to be useful for researchers and research students across disciplines, but have also tried to make the content and the style accessible to high school students. 

NOTE: If you find any errors in these pages, please alert us at: tara.mohanan@gmail.com and mohanan.kp@gmail.com

Contents

  Title Page

  Unit 1:   A Theory of Triangles

  Unit 2:   A Theory of Quadrilaterals

  Unit 3:   A Theory of Polygons 

  Unit 4:   A Theory of Lines and Points

  Unit 5:   A Theory of Circles

  Unit 6:   A Theory of Geometry

  Unit 7:   Extending the Terrain: Constructing a Theory of Animals

  Unit 8:   Geometry as Science and as Math

  You can download all the units as a single document here.

 


 

[NOTE: This license allows others to remix, adapt, and build upon this work, as long as they credit the authors, use it non-commercially, and license their new creations under the identical terms.]


 


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