e-BOOK
Connecting Mathematics and Mathematics Education : Collected Papers on Mathematics Education as a Design Science
To be a good teacher what matters most is not just how much more the teacher has learnt and knows, nor even how much deeper, but of how differently from various perspectives. In addition, a good teacher should try to carry out what George Pólya maintains that “first and foremost, it should teach those young people to THINK” [On learning, teaching, and learning teaching, American Mathematical Monthly 70 (1963), 605–619], and through exploration and thinking to enable
students become aware that mathematics makes sense and is thus comprehensible.
In this respect the idea of an “elementary mathematics research program of mathematics education” proposed by Erich Wittmann is, in his own words, a “truly interdisciplinary task for which elements of mathematics, its history, its applications, aspects of epistemology, psychology, pedagogy and the mathematics curriculum have to be merged together .
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