
06675739
a
Zimmermann, Bernd
Improving of mathematical problemsolving: some new ideas from old resources.
Felmer, Patricio (ed.) et al., Posing and solving mathematical problems. Advances and new perspectives. Cham: Springer (ISBN 9783319280219/hbk; 9783319280233/ebook). Research in Mathematics Education, 83108 (2016).
2016
Cham: Springer
EN
D50
doi:10.1007/9783319280233_6
Summary: The main focus of this chapter is on improvement of teaching of problemsolving.{ }In the introduction important and to some extent neglected issues of teaching problemsolving will be presented and discussed.{ }On this background the following questions and possible answers will be addressed:{ }How to combine the traditional mathematical curriculum with problemsolving, understanding, and creativity?{ }Pupils can construct rules for calculating with fractions themselves, conjectures as well as proofs of the Pythagorean and related theorems.{ }How history might help to better understand and foster mathematical problemsolving processes?{ }Observed problemsolving processes of pupils involved in wellknown problems from calculating the area of a circle, fractions and calculus can be interpreted as reinvention of old and important heuristic strategies.{ }Finally, some recommendations are made for teacher education and teachers.