Selected Publications
I include here the full text of some of my recent published articles and conference presentations (most recent listed first). Be aware that many are quite graphics intensive, and may take a while to load fully.
- Review of DERIVE version 5
This review of the computer algebra software DERIVE, commissioned in spring 2001 by Becta, was described by Philip Yorke as "the most informative, clear and helpful review of Derive I've ever seen, particularly from a teaching point of view". So I will return the favour and remind you all to visit www.chartwellyorke.com for all your mathematical software needs!!
- Algebraic Spreadsheets - the best of both worlds?
This is a workshop I ran for delegates at the Twelfth International Conference on Technology in Collegiate Mathematics, held in San Francisco, USA, in November 1999, and also (in modified form) at the Fourth International Derive & TI-92/89 Conference, held in Liverpool, UK, in July 2000, and at the Vienna International Symposium on Integrating Technology into Mathematics Education, held in Vienna, Austria, in July 2002. I demonstrate how the Texas TI-92 calculator can incorporate computer algebra features within a simple spreadsheet-style environment, and I suggest ways in which this can be used to investigate mathematical concepts in new ways. (Graphics intensive.)
- Book Review:
Optimisation - Graphically, Numerically and Analytically (by Josef Böhm)
I don't really consider book reviews to be "proper" publications, but I include this one here out of my enthusiasm for the book and its subject. The author gives a master class in how to use the various tools of the Texas Instruments TI-92 calculator in an integrated manner. This review was first published in the CTI Newsletter Maths & Stats in November 1999.
- How (not!) to manage a Maths Workshop
A brief contribution to the Autumn 1999 edition of the Mathematics Support Newsletter. I have been in charge of the Mathematics Workshop at my college since I set it up in 1990, and this article takes a light-hearted look at lessons we have learned over that time. Or is there a hint of frustration between the lines?
- Animating Web Pages with the TI-92
This is a workshop I ran at the Third International Derive & TI-92 Conference, held in Gettysburg, USA, in July 1998. I attempt to show how the Texas TI-92 calculator can be used to produce the content for animated images which can illustrate web-based teaching materials in mathematics. This can demonstrate the dynamic aspects of mathematics much more effectively than static paper-based images. (Graphics intensive.)
- Opportunities for the Use of Computer Algebra Systems in Middle Secondary Mathematics in England and Wales
I was invited to write this article for the German Zentralblatt für Didaktik der Mathematik in 1997 to appear alongside similar contributions from France and the Netherlands. Recent changes to the National Curriculum and the introduction of calculator-free papers at GCSE have not dampened my original view that CAS can find worthwhile applications prior to A-level and university.
- Computer Algebra and Secret Codes
In this article I review how prime factorisation can be used as the basis of a simple coding system, and how computer algebra systems can be used to carry out the factorisation of large numbers and hence the breaking of the code. This provides an example activity to motivate the study of prime numbers in secondary education (Key Stage 4). This article first appeared in Micromath, a journal of the Association of Teachers of Mathematics, in summer 1997.
- Maths Support for Students with Visual Impairment
This is a brief case study of how I tutored a visually impaired student doing A-level maths, with some reflections on the experience. It was published in the Mathematics Support Newsletter in 1997. "All the heart of learning support is in this article", said the Newsletter editor at the time.
- What was the Question - A Framework for Investigational Activities using DERIVE
This article appeared in the 1997 book Mathematical Activities with DERIVE (available from Chartwell-Yorke), which contains 22 contributions by educators from around the world on how the computer algebra software DERIVE may be deployed to enhance the teaching and learning of mathematics. It is based on a workshop I held at the First International DERIVE Conference in Plymouth, UK, in 1994, which I also subsequently wrote up for the International DERIVE Journal Vol 2, Nr 2. (1995). This concept also formed the basis for an invited contribution to the 2003 book Computer Algebra Systems in Secondary School Mathematics Education, published by the American National Council of Teachers of Mathematics.
- On Plotting Piecewise Defined Functions
A major benefit of using technology for mathematics teaching is that the students have much greater scope for investigation and creativity than when restricted to pen and paper. This is particularly true for graph plotting. Here is a poster display which I used as the basis for activities at the "DERIVE & TI-92 Days" at Trinity and All Saints College, Leeds, in 1996.
- Logistics for facilitating CAS instruction
This paper was one of the outcomes of a working group at an international symposium on technology and mathematics education in Honolulu in 1995. I joined with colleagues from Austria, Canada, the USA and the UK to consider the theme "Attracting teachers to use computer algebra systems (CAS) in the classroom". The results of all the working groups were edited and published in the 1997 book The State of Computer Algebra in Mathematics Education (available from Chartwell-Yorke).
- Quantifying the experience and attitudes of teachers towards computer algebra systems
This was a preliminary research paper I prepared for an international symposium on technology and mathematics education in Honolulu in 1995. At the symposium I met a delegate from the Austrian Ministry of Education, who had recently carried out a similar survey. This was our combined paper, which (perhaps due to the relaxing effect of the Hawaiian climate) never actually found its way to publication.....
- Changing assessment criteria in A-level mathematics with DERIVE
This is the English version of a paper I was invited to present to the German conference "Derive Days Düsseldorf" in April 1995. I summarised what was at the time a lively debate in the UK concerning the potential impact of computer algebra systems on assessing maths at A-level, and gave my view of the way traditional questions could be enhanced. This debate has died down in recent years, stifled by the move to calculator-free assessment at GCSE and overtaken by issues more concerned with curriculum administration than with mathematics education. I still stand by everything I said at the time.
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