An Interactive Introduction to Knot Theory

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Start Date:. Our text is unique not because of the mathematics that it contains, but rather due to the pedagogy it employs.


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We have designed the book to be used in an inquiry-based setting where students independently figure out, derive, and create many of the major results of knot theory while using our book as a guide. The book contains definitions, exercises, and statements of theorems, but the proofs and arguments that underlie the theory are left for readers to develop as they progress through the text.


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  • This active-learning pedagogy places the students ideas and arguments as the centerpiece of the course. As a result, class meetings include little to no lecture but are instead filled with student presentations followed by a process of questions and vetting by their peers.

    The Website for Learning More About Knots!

    In my talk I will discuss the following questions: what is the difference between math research and writing a mathematical book? How does an inquiry-based course compare to a "traditional" mathematics course?

    Knots and surfaces I - Algebraic Topology - NJ Wildberger

    What goes into planning and managing an inquiry-based course, and how does one create inquiry-based activities? What is knot theory, and why is it a good topic for inquiry-based pedagogy?

    Gandalf Lechner ┬╗ Introduction to Knot Theory

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