Collected here is any of my published writing that comes under the 'straight mathematics' banner.

(My 'mathematics education' writing can be found here.)

Equation Solving
*(introducing Triples)
Mathematical Spectrum, *Volume 35 Number 3, June 2002/3

The Box Problem Extended* (presented as a problem)
Mathematical Spectrum,* Volume 35 Number 3, June 2002/3

with solution in Volume 36 Number 2, Jan 2003/4

Periodic Recurrence Relations of the form y^{k}/x

* Mathematical Spectrum, * Volume 37 Number 2, 2004/5

(with a related letter from Nick Lord in a subsequent issue

reprinted HERE with his kind permisson.)

Totally Perfect Siders

* Mathematics in School,* Volume 34 Number 3, May 2005

Could Pi be Three?

* Mathematical Gazette,* Volume 90, Number 517, March 2006

Square Tessellations

* Mathematics in School, * Volume 35 Number 4, Sept 2006

Pearl Tilings

* Infinity* Issue 5, October 2007, published by Tarquin

For this and related Tarquin products and special offers

see www.tarquingroup.com

Sumlines

* Mathematical Spectrum, * Volume 41 Number 2, 2008/9

(with a related letter from Nick Lord in a subsequent issue

reprinted HERE with his kind permisson.)

Pineapple Triangles

with Derek Ball

Published in *MTi*, the interactive online magazine of the ATM, Jan 2010

Lopsided Numbers

with Pete Brayne and students from Paston College

* Mathematical Spectrum, * Volume 43 Number 2, 2010/11

Dual Rectangles

with Graham Everest

Preprint at arXiv, http://arxiv.org/abs/0906.3096

* Mathematical Spectrum, * Volume 43, Number 3, 2010/2011

JG MSc at UEA, Lyness Cycles, Elliptic Curves and Hikorski Triples

with Graham Everest, Tom Ward and Shaun Stevens, 2009-2012

r = a + 1/a problem

*Mathematical Spectrum, * Volume 41, Number 3, 2008/2009

The Friendly Circle Theorem

*Mathematics Teaching Interactive,* No 1, Jan 2011

Fibonacci-related sequences via iterated QRT Maps

with Martin Griffiths

*Fibonacci Quarterly, Volume 51, Number 3, August 2013*

Nomo Triples

* Mathematical Spectrum, * Volume 46 Number 1, 2013/14

Finding Arbitrarily Many Integer Solutions to the Equation k^{2}-5=t^{2}-5u^{2}

* Mathematical Spectrum, * Volume 46 Number 3, 2013/14

Triangle Centre of Mass Problem* Mathematical Spectrum,* Volume 46 Number 1, 2013/14

2014 thoughts* Mathematical Spectrum,* Volume 46 Number 3, 2013/14

A pair of Fibonacci-like polynomials arising from a special mapping

with Martin Griffiths

* International Journal of Mathematics Education in Science and Technology, * Volume 47, 2016, Issue 2

Lyness Cycles and their Invariant Curves

with Martin Griffiths

* Mathematical Spectrum,* Volume 48, No 2, 2015-2016

Hikorski Triples

* Mathematical Spectrum,* Volume 45 Number 3, 2014/15

The Fiddlehead Tile

* Mathematics in School,* Volume 44 Number 1, Jan 2015

The Not-On-The-Line Transformation

* Mathematical Gazette,* Volume 99, Number 545, July 2015

Identities connecting the Chebyshev Polynomials of the First, Second, Third and Fourth kinds

* Mathematical Gazette,* Volume 90, Number 517, March 2016

Making Averages Whole

* Mathematical Spectrum,* Volume 48, Number 3, 2015-16

When the Coefficients are the Roots

* Mathematical Spectrum,* Volume 48, Number 3, 2015-16

When does M squared equal I?

Soon to be submitted.

OEIS sequences authored by me (or where I am mentioned);

A001045, A001654, A061646, A228161, A180870, A228565, A228637, A007698, A228356.

These are mainly to do with the Chebyshev Polynomials of the second, third and fourth kinds.

__Journal Addresses__

Mathematics Teaching Interactive

A Journal of the Association of Teachers of Mathematics

Mathematical Spectrum

A magazine for students and teachers of mathematics in schools, colleges and universities

and for everyone interested in mathematics (discontinued Summer 2016).

The Mathematical Gazette

A Journal of The Mathematical Association

Mathematics in School

A Journal of The Mathematical Association

Infinity

Mathematical Puzzles and Diversions, Tarquin Publications (now discontinued)

Fibonacci Quarterly

The focus for worldwide interest in the Fibonacci number sequence and related mathematics

International Journal of Mathematical Education in Science and Technology

A wide-ranging journal for mathematics teachers in schools, colleges and universities

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