This recording of a classroom session delves into the concept of democracy. Students are attempting to clarify the concept.
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How to Think Like a Mathemtician
Constructing, Measuring, and Calculating
The primary goal of this document is to give the readers an experiential understanding of the distinction between mathematical inquiry and scientific inquiry. It also has a secondary goal: to provide an experiential understanding of the distinction between the geometry of flat surfaces and the geometry of spherical surfaces.
Constructing Theories of Geometry with Excursions into Biology
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 […]
Introduction to Scientific Inquiry
Constructing a Theory of Motion
About this book: This book is an introduction to how we construct theories in science to explain natural phenomena, in this case, the phenomena clustering around the motion of inanimate objects. It aims to help the young reader gain an experiential understanding of the way scientists think, and of the kinds of questions they ask, […]
Scientific Thinking in the Kitchen: Banana Chips
This dialogue is between a nine-year old girl (MM), her mother (TM) and her father (KPM). It is triggered by questions on the crispness of the banana chips they were having as a post-breakfast snack. The dialogue involves intriguing issues in the philosophy of science: Do the three of them have the same meaning for […]