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 yk/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
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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 k2-5=t2-5u2
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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