Weeding and Sowing Preface to a Science of Mathematical Education [Paperback]

A title that sounds like poetry, and a subtitle that seems to contradict the title! But the subtitle is right, and originally it was just the title. A strange subtitle, isnt it? Preface to a Science of Mathematical Education. All sciences  in their prenatal stage  have known this kind of literature: only the term used was not Preface, but, for instance, Prolegomena, which * means the same though it sounds less provisional. In fact such works were thicker than the present one, by up to ten times. There is much more that can be said about a science before it comes into being than after; with the first results comes modesty. This is the preface to a book that will never be written: not by me, nor by anybody else. Once a science of mathematical education exists, it will get the preface it deserves. Nevertheless this preface  or what for honestys sake I have labelled so  must fulfil a function: the function of accelerating the birth of a science of mathematical education, which is seriously impeded by the unfounded view that such already exists. Against this view I have to argue: it rests on a wrong estimation  both over and under estimation at the same time  of what is to be considered as science.A title that sounds like poetry, and a subtitle that seems to contradict the title! But the subtitle is right, and originally it was just the title. A strange subtitle, isnt it? Preface to a Science of Mathematical Education. All sciences  in their prenatal stage  have known this kind of literature: only the term used was not Preface, but, for instance, Prolegomena, which * means the same though it sounds less provisional. In fact such works were thicker than the present one, by up to ten times. There is much more that can be said about a science before it comes into being than after; with the first results comes modesty. This is the preface to a book that will never be written: not by me, nor by anybody else. Once a science of mathematical education exists, lF