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The article discusses the introduction of complex numbers to students. The author says that a number line may be helpful to students in understanding negative numbers. He explains that numbers in a number line are considered to be vectors with a magnitude and a direction. He further explains that multiplying complex numbers can easily be understood by students with the aid of a number line and a number compass. He also relates that his students in England and Australia understand the concept of complex numbers after teaching it using the number line and number compass.

This article discusses students' perceptions as a source for understanding education. It addresses what didactically experienced children, called "didactikids", taught us about the empty number line as a didactical model for teaching whole number calculations. The article mainly reports on a student consultancy study carried out in the Netherlands. The findings are similar to what was revealed in an Australian study. Both studies explain what can go wrong when the number line is applied rigidly and wrongly implemented. [ABSTRACT FROM AUTHOR]