@inbook {MATHEDUC.06675739,
author = {Zimmermann, Bernd},
title = {Improving of mathematical problem-solving: some new ideas from old resources.},
year = {2016},
booktitle = {Posing and solving mathematical problems. Advances and new perspectives},
isbn = {978-3-319-28021-9},
pages = {83-108},
publisher = {Cham: Springer},
doi = {10.1007/978-3-319-28023-3_6},
abstract = {Summary: The main focus of this chapter is on improvement of teaching of problem-solving.{ }In the introduction important and to some extent neglected issues of teaching problem-solving 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 problem-solving, 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 problem-solving processes?{ }Observed problem-solving processes of pupils involved in well-known 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.},
msc2010 = {D50xx},
identifier = {06675739},
}