Tarquin Press in the U.K. is about to release two books: WITHOUT WORDS: Mathematical Puzzles to Confound and Delight and MORE WITHOUT WORDS. I thought it would be nice to post solutions!

If I were Lord of the mathematics education universe the first action I would take is to eradicate from all textbooks (and from all minds of educators) the words “Does order matter?” Thinking this way makes thinking about counting problems TOO HARD!!!!!!

Here is a brief set of notes, given as a four-step program, that shows how to solve each and every counting problem one encounters in highschool (and most elsewhere) with ease and without ever making the distinction between a “permutation” and a “combination.” (Please forget you ever heard those words! I’d eradicate them too from all text books!)

Pamphlet on Counting

Math without words: Solutions

Math without words: Solutions

Math without words: Solutions

Math without words: Solutions

Math without words: Solutions

# Welcome!

Joyous approaches to school mathematics … middle school, high school, and beyond. Welcome indeed!

The GLOBAL MATH PROJECT: Over 1.7 million students took part during our inaugural Global Math Week (GMW2017). The roll-out topic was Exploding Dots and you can still join! (The count is now over 4 million!) An essay about the success of GMW2017 is here. A glossy brochure to share: GMP Brochure 2018.

* CURRICULUM VIDEOS: here and here . Over a million views – despite their clunkiness!
* ONLINE COURSES: at www.gdaymath.com.
* PROBLEM SOLVING with the MAA’s Curriculum Inspirations.
* MATHEMATICAL ESSAYS GALORE!: Right here.

Send an email to tanton.math@gmail.com if you would like to receive the monthly essays in your inbox.

* Without Words and More Without Words SOLUTIONS available here. Go to Tarquin for the books and the posters!
* Area Model: The concerns.
* Recent blog post Ambiguity and Nuance – Even in Mathematics
* Assessment Article: Assessment Thoughts: Some provocative thoughts on this subject of delight! (I’ve just updated the opening of this essay as interest in assessment seems to be bubbling up again.)
* Tanton and DR. Hacker debate: MoMath, May 2016. An ESSAY in response to the debate … with APPENDIX.
* Back to Basics concerns: January 2016 Essay.
* Common Core State Standards: A video from a while ago on them re middle- and high-school work. What are they (like, really, what are we actually talking about?) and what are they ultimately trying to do. overview video . Good to couple this video with the APPENDIX to the Tanton/Hacker essay.
* What made me a Mathematician (and why I teach the way I do).

TWITTER: @jamestanton : A puzzle a day in 280 characters or less! (It used to be 140!)

Books galore too!

• ## ON-LINE SHORT COURSES!

QUADRATICS, Permutations and Combinations, EXPLODING DOTS, and more!

Written for educators - and their students too! - this website, slowly growing, takes all the content Tanton has developed in his books, videos, and workshops, and organizes it into short, self-contained, and complete, curriculum units proving that mathematics, at all points of the school curriculum, can be joyous, fresh, innovative, rich, deep-thinking, and devoid of any rote doing! Let's teach generations of students to be self-reliant thinkers, willing to flail and to use their common sense to "nut their way" through challenges, to assess and judge results, and to adjust actions to find success. (Great life skills!)

CHECK OUT: www.gdaymath.com