mathematics

James Tanton

James Tanton is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand James Tanton rather than just read about it. In short: James Stuart Tanton (born August 1, 1966) is an Australian-American mathematician and math educator. He is the Associate Coordinator of Public Programs at the Berkeley School of Education.

Key takeaways

James Tanton belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect James Tanton to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of James Tanton from memory before moving on to harder problems.

Reference excerpt

James Stuart Tanton (born August 1, 1966) is an Australian-American mathematician and math educator. He is the Associate Coordinator of Public Programs at the Berkeley School of Education. He is also a winner of the Kidder Faculty Prize for his teaching at St. Mark's School, Mathematician-at-Large at the Mathematical Association of America, author of over ten books on mathematics, curriculum, and education, and creator of videos on mathematics on YouTube. As of May 2026, his approximately 590 videos had earned over 8.4 million views.

Education and professional work Tanton received his B.A. in mathematics from the University of Adelaide, and he earned his Ph.D. in mathematics from Princeton University in 1994, with a thesis in algebraic topology titled A Homological Fibration for Gl [infinity]. He taught at the New College, St. Mary's College of Maryland, and Merrimack College before deciding that, to gain credibility with the high school teachers he hoped to work with, he had to teach high school himself. Tanton taught at St. Mark's School in Southborough, Massachusetts, from 2002 to 2011. Tanton has worked as a presenter with Maths Week Ireland, the ABWA Infinity Program (India), the Data Math Lab (Romania); and many other international programs. He is the co-founder of the Global Math Project, which has brought innovative curriculum on the topic of place-value, polynomial algebra, etc. to over 7.8 million students and teachers from over 150 countries and territories. Tanton is also the Chief Mathematics Officer for "All the Maths" with SmartWithIt, a math program designed to help students better understand and experience the human relevance of mathematics. Tanton is currently the Associate Coordinator of Public Programs at the Berkeley School of Education.

Personal life Since graduating from the University of Adelaide in 1988, Tanton has been living in the US. He is settled there with his family; his spouse is planetary scientist Lindy Elkins-Tanton, who was born in Ithaca, New York.

Selected awards and honors President's Award for Innovation (ASU Study Hall, College Algebra) 2021 Joint Policy Board of Mathematics Communication Award, 2020 MathMovesU Math Hero Award for mathematics middle and high school teaching, sponsored by Raytheon Company, 2010 The Kidder Faculty Prize for teaching at St. Mark's School, 2006 The Mathematical Association of America's Beckenback Book Prize for Solve This: Mathematical Activities for Students and Clubs, 2005 The Mathematical Association of America's Trevor Evans Award for distinguished writing in both 2001 and 2002 Homer L. Dodge Award for college teaching excellence at The St. Mary's College of Maryland, 1999 Princeton University Engineering Council Teaching Award, for teaching excellence, 1994

Selected books by Tanton Mathematics Galore: The First Five Years of the St. Mark’s Institute of Mathematics, Mathematical Association of America, 2012 The Encyclopedia of Mathematics, Facts on File.2005. Solve This: Mathematical Activities for Students and Clubs, Mathematical Association of America, 2001.

Self-published texts and curricular material THINKING MATHEMATICS! series:

Volume 1: Arithmetic = Gateway to All Volume 2: Advanced Counting and Advanced Algebra Systems Volume 3: Lines, Circles, Trigonometry and Conics Volume 4: Functions and their Graphs Volume 5: e, i, pi and all that! Volume 6: Calculus GEOMETRY: Volume I and GEOMETRY: Volume 2 MATH WITHOUT WORDS MATHEMATICAL THINKING: Numbers and their Algebra (An advanced course for middle-school students and their teachers.)

References

External links Thinking Mathematics! Archived 2016-03-12 at the Wayback Machine James Tanton's Personal Website "Weird Ways to Work with Pi" article and presentation by James Tanton

Illustrations

Worked examples

Example 1 — a first encounter with James Tanton

Start with the simplest possible case. Write down what James Tanton claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to James Tanton before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about James Tanton ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of James Tanton

In research: James Tanton appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses James Tanton in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: James Tanton is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1966 births, Australian mathematics educators, Living people, so understanding it makes those chapters shorter.
In everyday life: Look for James Tanton outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study James Tanton in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what James Tanton means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain James Tanton out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is James Tanton in simple terms?

James Stuart Tanton (born August 1, 1966) is an Australian-American mathematician and math educator. He is the Associate Coordinator of Public Programs at the Berkeley School of Education.

Why does James Tanton matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study James Tanton?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on James Tanton.