One sign of a good task is that it will work just as well with Year 7 as with Year 13. The author asks learners to use graph-drawing software to draw a picture with graphs. He uses his imagination to suggest what a particular curve might resemble and helps learners to adjust their drawings to achieve what they are trying to make. Sometimes, one…

A discussion of the relation between traffic density, speed and flow, used as an illustration of the ideas of functions and mathematical models. (MM)

Develops two-dimensional descriptions of degenerate transformations using elementary matrix algebra. (RS)

A dialogue between a student and a teacher is presented. The topic is the absolute value function. The discussion ranges from elementary algebraic properties to deeper properties of the function. (SD)

A collection of brief articles on mathematics and teaching mathematics. (FL)

Details of a class exploration of graphs that drew upon knowledge about the behavior of particular kinds of functions and applied them in a new context are provided. (MP)