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8 Feb 2001: Some Comments on the IA/IB Geometry Course. It is not my usual practice to provide printed notes for lecture courses. (You can find printed notes for the course as it was given in 1998 by clicking here. ) However, as an experiment, I supplemented my

20 Sep 2001: This is a very reasonable question, but one that few people dare to ask when their lecturers solemnly stand in front of them and prove that the square root of two ... 2. <2 and proving that x. 2. =2, or by applying the intermediate value theorem (which

24 Nov 2001: As a result, the subject seems to many people to be difficult. ... See here for a further discussion of this point.). As has probably occurred to most people who have read this far, it is possible to classify construction-definitions further.

13 Dec 2001: The main use of the mean value theorem is in justifying statements that many people wrongly take to be too obvious to need justification. ... What, then, is the half-formed argument that leads so many people to think that statement () above is obvious?

7 Nov 2001: One of the early objectives of almost any university mathematics course is to teach people to stop thinking of the real numbers as infinite decimals and to regard them instead as