# MATHEMATICAL LETTERS

We have three sets of essays:

**CURRICULUM ESSAYS** and **Teaching the Problem-Solving Mindset** for classroom mathematics thinking, and **COOL MATH ESSAYS** for cool math in general.

Scroll down for the essays of interest.

If you would like to receive these monthly math essays directly via email, just let me know at TANTON.MATH@GMAIL.COM and I’ll add you to the email list.

[But one can just keep coming here to check them out!]

A BOOK! Over 30 past essays are updated and collated in a new book. Out now!

** MOST RECENT ESSAYS**

** Cool Math **

Cool Math BONUS ESSAY 2021: Heronian Triangles

Cool Math Essay June 2021 Special Heronian Triangles

Cool Math Essay May 2021 Sums of Powers

Cool Math Essay_April 2021 Numbers Possessing a One

Cool Math Essay_March 2021 Prime Deserts

Cool Math Essay February 2021: Average Square Sequences

Cool Math Essay January 2021: Angles in Stars

Cool Math Essay December 2020_Polynomials and Integer Points

Cool Math Essay November 2020 Permutation Matrices

Cool Math Essay October 2020 A Surprise Appearance of Euler’s Formula

Cool Math Essay September 2020 The 27 Card Trick

Cool Math Essay_August 2020 Dots and Dashes

Cool Math Essay_July 2020_64 Coins

Cool Math Essay_June 2020_Maximal Products

Cool Math Essay_May 2020_NIM

Cool Math Essay_April 2020_Pouring Puzzle

Cool Math Essay_March 2020_Symmetrical Solutions and the AG inequality

Cool Math Essay_February 2020_Lattice Points Inside Circles

Cool Math Essay_January 2020 How Rational is your Circle?

Cool Math Essay_December 2019_Suspension Bridges

Cool Math Essay_November 2019_Counting Explosions

Cool Math Essay_October 2019: A Global Math Week Experience

Cool Math Essay_September 2019 Explaining Lill’s Result

Cool Math Essay_August 2019: Hendersons Result Once More

Cool Math Essay_July 2019 Henderson’s Geometric Gem

Cool Math Essay June 2019 Doubly Fractal Sequences

Cool Math Essay_May 2019 Regular Polygon Puzzle

Cool Math Essay_April 2019_Egg Dropping

Cool Math Essay_March 2019_Grid Rearrangements

Cool Math Essay_February 2019_Dividing Lines in Triangles

Cool Math Essay_January 2019_A Surprise Golden Appearance

Cool Math Essay_December 2018_Sums of Fourth Powers

Cool Math Essay_November 2018_Sums of Cubes

Cool Math Essay_October 2018_Grape Codes

** Curriculum**

Blog Essay February 2019: Two Key–but ignored–Steps to Solving Any Math Problem

Blog Essay January 2019: Breaking Throught the Mathematics Education System Despite Itself

Curriculum Essay_December 2018_Compound Interest

Blog Essay November 2018: Global Joy: Uplifting Mathematics in Classrooms across the Planet

Blog Essay October 2018: A Young Student’s Approach to Polygon Areas

Blog Essay September 2018: Personal Stories of Discovering Mathematics

Blog Essay June 2018: The Unreasonableness of K-12 Mathematics

Curriculum Essay_May 2018_Tangent Curves

Blog Essay April 2018: Time Does Not Run Clockwise: Here’s Proof!

Blog Essay March 2018: 7 times 8 is 54: The Call for Math Memorization

Blog Essay January 2018 Just Teach My Kid the **adjective** Math!

**Teaching Problem Solving**

Teaching Problem Solving Mindset 1 Systems of Equations

Teaching Problem Solving Mindset 2 Fractions

Teaching Problem Solving Mindset 3 Remainder Theorem

Teaching Problem Solving Mindset 4 Rational Functions

Teaching Problem Solving Mindset 5 Fitting Quadratics

Teaching Problem Solving Mindset 6 A Distance Formula

Teaching Problem Solving Mindset 7 Rational Graphs II

Teaching Problem Solving Mindset 8 Transformations of Periodic Functions

Teaching Problem Solving Mindset 9 Graphing Polynomials

Teaching Problem Solving Mindset 10 Reflecting on Solutions

** Past Essays (Scroll way down to see the Cool Math ones in this list!) **

Curriculum Essay_January 2018_Power of Symmetry

Curriculum Essay_December 2017_Poisson Distribution

Curriculum Essay_November 2017_Ambiguity and Nuance

Curriculum Essay_October 2017_Exploding Dots Make Space

Curriculum Essay_September 2017_Back to Basics Revisited

Curriculum Essay_August 2017_Factoring

Curriculum Math Essay_July 2017_Expected ValueCurriculum Essay_June 2017_Napier and Logs

Curriculum Essay_May 2017_Law of the Lever

Curriculum Essay_April 2017_Models

Curriculum Essay_March 2017_Exclusionary Math

Curriculum Essay_February 2017_Counterclockwise

Curriculum Essay_January 2017_The Equation of a Line

Curriculum Essay_December 2016_Ratio and Proportion

Curriculum Essay_November 2016_Two Data Points

Curriculum Essay_October 2016_Functions

Curriculum Essay_September 2016_Extraneous Solutions

Curriculum Essay_August 2016_Factoring Follow-Up

Curriculum Essay_July 2016_Factoring Trinomials

Curriculum Essay_June 2016_The Premise

Curriculum Essay_MAY 2016_Math is a Language

Curriculum Essay_April 2016_Quadratic Formula in Klingon

Curriculum Essay_March 2016_Average Value

Curriculum Essay_February 2016_Averages as Fractions

Curriculum Essay_January 2016_Math Wars

Curriculum Essay_December 2015_On Having a PhD

Curriculum Essay_November 2015_EQUATING FAMILIARITY

Curriculum Essay_October 2015_ON GRAPHING

Curriculum Essay_September 2015_PEMDAS

Curriculum Essay_August 2015_Undergraduate Courses for Teaching

Curriculum Essay_July 2015_Basic Probability

Curriculum Essay_June 2015_Same Questions

Curriculum Essay_May 2015_IRRATIONAL NUMBERS

Curriculum Essay_April 2015_SLOPE

Curriculum Essay_March 2015_TEACHING ALGORITHMS

Curriculum Essay_February 2015_WHY DO WE NEED TO KNOW THIS?

Curriculum Essay_January2015_ON SIMPLIFY

Curriculum Essay_December2014_TRIG ADDITION

Curriculum Essay_November2014_POLYNOMIAL DIVISION

Curriculum Essay_October2014_ON THE WORD OF

Curriculum Essay_September2014_AREA and PROBABILITY

Curriculum Essay_August2014_LINE OF BEST FIT

Curriculum Essay_July 2014_MEAN AND VARIATION

Curriculum Essay_June 2014_ABSOLUTE VALUE

Curriculum Essay_May 2014_PYTHAGORAS PRECURSOR

Curriculum Essay_April 2014_CIRCLE THEOREMS

Curriculum Essay_March 2014_FRACTIONS ARE HARD

Curriculum Essay_February 2014_MATRICES

Curriculum Essay_January 2014_VECTORS

Curriculum Essay_December 2013_SPECIAL TRIANGLES

Curriculum Essay_November 2013_On Significant Figures

Curriculum Essay_October 2013_On Thales Theorem

Curriculum Essay_September 2013_On the AREA OF A TRIANGLE formula

Curriculum Essay_June 2013: PILES AND HOLES

Curriculum Essay_May 2013: FITTING EQUATIONS TO DATA

Curriculum Essay_April 2013: LOGARITHMS

Curriculum Essay_March 2013: The VINCULUM

Curriculum Essay_February 2013: WHO CHOSE THOSE NUMBERS?

Curriculum Essay_January 2013: ARE CIRCLES SIMILAR?

Curriculum Essay_December 2012: TROUBLESOME ZERO

Curriculum Essay_April 2012: GRAPHING QUADRATICS

Curriculum Essay_May 2012: UTILISING SYMMETRY IN QUADRATICS

Curriculum Essay_June 2012: DOES ORDER MATTER?

Curriculum Essay_July 2012: ANGLES IN A TRIANGLE

Curriculum Essay_August 2012: THE PARADOX OF AREA

Curriculum Essay_September 2012: 0.9999….

Curriculum Essay_October 2012: WHY IS NEGATIVE TIMES NEGATIVE POSITIVE?

Curriculum Essay_November 2012: ASSESSMENT THOUGHTS

Cool Essay_June 2018_Rotations

Cool Essay_May 2018_Napier’s Checkerboard

Cool Essay_April 2018_Reversible Sums of Two Squares

Cool Essay_March 2018_Incenters

Cool Essay_October 2017_Three Points on a Circle

Cool Essay_September 2017_Plimpton 322

Cool Essay_August 2017_Triangular Sequences

Cool Essay_July 2017_Powers of Two in Pythagoras.docx

Cool Math Essay_Febuary 2017_Vivianis Theorem

Cool Math Essay_January 2017_Sticks and Triangles

Cool Math Essay_December 2016_Geometric Series Issues

Cool Math Essay_August 2016_Zero Knowledge

Cool Math Essay_June 2016_Sandpiles

Cool Math Essay_December 2015_Paper Sizes

Cool Math Essay_November 2015_Algebra in Geometry

Cool Math Essay_October 2015_Carry Triangles

Cool Math Essay_September 2015_Rolling Parabolas

Cool Math Essay_June 2015_BICYCLE TRACKS

Cool Math Essay_APRIL 2015_Weird Multiplication

Cool Math Essay_MARCH 2015_Intermediate Positions

Cool Math Essay_FEBRUARY 2015_Wrapping-Paper Slices

Cool Math Essay_JANUARY 2015_Leapfrog Plus

Cool Math Essay_DECEMBER 2014_Two Trig Puzzles

Cool Math Essay_NOVEMBER 2014_Polynomial Fun

Cool Math Essay_OCTOBER 2014_Parabolic Multiplication

Cool Math Essay_AUGUST 2014_TRIANGLES ON A QUADRATIC

Cool Math Essay_JULY 2014_AVERAGE FACTORIZATIONS

Cool Math Essay_May 2014_RepDigit Squares

Cool Math Essay_April 2014_On Cyclic Quadrilaterals

Cool Math Essay_March 2014_FRACTIONS TAKE NO SPACE

Cool Math Essay_February 2014_SEMIMAGIC SQUARES

Cool Math Essay_June 2013: THOSE BRAIDS!

Cool Math Essay_May 2013: DIVISIBILITY

Cool Math Essay_April 2013: CUBIC and QUARTIC FORMULAS – and more!

Cool Math Essay_March 2013: COUNTING PARENTHESES

Cool Math Essay_January 2013: SUMS OF SQUARES, CUBES and BEYOND!

Cool Math Essay_December2012: GOING FURTHER WITH AVERAGES>

Cool Math Essay_April 2012: MEDIANTS AND FORD CIRCLES

Cool Math Essay_July2012: ON AVERAGE

Cool Math Essay_August2012: CHECKERBOARD WALKING AND COLOURING

Cool Math Essay_September 2012: PASCAL “RING” TRIANGLE