Australian Mathematics Teacher back issues from December 2006:
Convex lattice polygons.
Dec 22, 2006; ... The problem It was 1976. I had been looking at my lecture notes on Pick's Theorem, when the thought suddenly came to me. Suppose you have a lattice polygon P with a fixed number I of interior points, and you insist that the polygon be convex. Now try to increase the number of ...
Editorial.
Dec 22, 2006; ... Mathematics is an onion! When it is cooking it excites the appetite. It is both sweet--and sour. It is commonplace, ubiquitous, almost prosaic, but adds essential fillip to recipes. It has many layers, and makes you cry! At least, that's how I see it today. Years of working in ...
Geometry expressions; adding algebra to interactive desktop geometry.(CACTUS)
Dec 22, 2006; ... Geometry Expressions is a very comfortable application to use. It reminds me of a well laid out tool-shed or kitchen in which the tools and appliances are logically racked and ready to use. Instead of searching through rows of pull down menus, the user has only to grab the appropriate tool ...
Why teachers matter.
Dec 22, 2006; ... Wondering whether we are really making a difference to young people's mathematics learning is a question that most teachers have probably wrestled with at some stage of their careers. However, evidence from a multitude of research studies shows that students' mathematics learning and their ...
Square dissections and convex figures.(DISCOVERY)
Dec 22, 2006; ... Let us consider a square dissected by one diagonal as in Figure 1. [FIGURE 1 OMITTED] The two separate sections are identical isosceles right-angled triangles. Your students should try to make these out of thick cardboard and measure the angles and the lengths of each ...
Diversions.
Dec 22, 2006; ... In this issue, two more problems dealing with strategy games are introduced. I suggest you play the games with a friend before discussing the best moves and a possible strategy for each player. Again, some problem-solving strategies will be necessary. The numbers provide a suitable ...
The importance of mathematics teachers' beliefs.
Dec 22, 2006; ... It is widely acknowledged that what teachers believe influences their teaching, yet the focus of much professional learning remains on influencing the specific practices and tools that teachers employ in their classrooms. In this article it is argued that a greater and more explicit focus ...
Mathematical Apocrypha Redux.(Book review)
Dec 22, 2006; ... Mathematical Apocrypha Redux Steven G. Krantz Published by the Mathematical Association of America (2005) 294 pp., ISBN 0-88385-554-2 Mathematical Apocrypha Redux is Steven G. Krantz' second offering of anecdotes from the academic world. The book is published by the ...
Reality Conditions.(Book review)
Dec 22, 2006; ... Reality Conditions Alex Kasman Published by the Mathematical Association of America (2005) 247 pp., ISBN 0-88385-552-6 "Reality Conditions" is a book of short stories, each with a mathematical theme. This book is published by the Mathematical Society of America, as ...
Statistical Literacy at School: Growth and Goals.(Book review)
Dec 22, 2006; ... Jane M. Watson Published by Lawrence Erlbaum Associates (2006) Studies in Mathematical Thinking and Learning Series 306 pp., ISBN 0-8058-5399-5 Available from AAMT $55 for members This book is an excellent resource for teachers, curriculum planners, textbook writers and ...
Mathematics scrapbook.
Dec 22, 2006; ... Blue Wednesdays British writer Daniel Tammet has synaesthesia, a rare mixing of the senses where numbers and emotions collide. Two years ago Tammet became famous for reciting [pi] to 22 514 places. This extract from his recently published book Born on a Blue Day: The Gift of an ...
Algebra students' difficulty with fractions: an error analysis.
Dec 22, 2006; ... The National Assessment of Educational Progress (NAEP), a United States report, raises concerns regarding trends in student achievement over the past twenty years (NCES, 2000). The results indicate that students of age seventeen recurrently demonstrated a lack of proficiency with fraction ...