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!

**WITHOUT WORDS SOLUTIONS**

WW1 WW2 WW3 WW4 WW5 WW6 WW7 WW8 WW9 WW10

WW11 WW12 WW13 WW14 WW15 WW16 WW17 WW18 WW19 WW20

WW21 WW22 WW23 WW24 WW25 WW26 WW27 WW28 WW29 WW30

WW31 WW32 WW33 WW34 WW35 WW36

**MORE WITHOUT WORDS SOLUTIONS**

MWW1 MWW2 MWW3 MWW4 MWW5 MWW6 MWW7 MWW8 MWW9 MWW10

MWW11 MWW12 MWW13 MWW14 MWW15 MWW16 MWW17 MWW18 MWW19 MWW20

MWW21 MWW22 MWW23 MWW24 MWW25 MWW26 MWW27 MWW28 MWW29 MWW30

MWW31 MWW32 MWW33 MWW34 MWW35

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!)

For solutions, download this pdf:

Math without words: Solutions

For solutions, download this pdf:

Math without words: Solutions

For solutions, download this pdf:

Math without words: Solutions

For solutions, download this pdf:

Math without words: Solutions

For solutions, download this pdf:

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!