The didactical nature of some lesser known historical examples in mathematics
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Published:2012
Kajsa Bråting, Nicholas Kallem, Bharath Sriraman, 2012. "The didactical nature of some lesser known historical examples in mathematics", Crossroads in History of Mathematics and Mathematics Education, Bharath Sriraman
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In the field of history of mathematics the work of famous mathematicians, such as Cauchy, Newton and Leibniz, have been carefully studied which certainly have provided valuable knowledge regarding the development of mathematics. The results are well-documented in the literature. However, it may also be important to take into account the efforts of the less known (or sometimes unknown) mathematicians, contemporary to the famous mathematicians. In a didactical perspective, the study of the work of the less known mathematicians can provide valuable insights regarding mathematical thinking and conceptual development that often cannot be derived from the work of the well-known mathematicians. For instance, by studying the work of the less known mathematicians we get more information of the struggle behind famous mathematical results, which often include valuable didactical knowledge. Moreover, the general view of certain mathematical concepts at particular time periods can be better understood on the basis of not only the work of the leading mathematicians, but also on the basis of contemporary mathematicians working in the shadow of the famous mathematicians. Furthermore, in the work of the less known mathematicians one can sometimes find alternative solutions to a difficult mathematical problem, even before it was posed as a problem. However, these alternative solutions may not be as straightforward as the solutions documented in the modern textbooks. But they can provide valuable knowledge regarding mathematical thinking as well as the development in mathematics.
