Koestler’s theory as a foundation for problem-solving. (English)

Czarnocha, Bronislaw (ed.) et al., The creative enterprise of mathematics teaching research. Elements of methodology and practice ‒ from teachers to teachers. Rotterdam: Sense Publishers (ISBN 978-94-6300-548-7/hbk; 978-94-6300-547-0/pbk; 978-94-6300-549-4/ebook). 267-286 (2016).

Summary: Steffe suggests that researchers in teaching experiments should act as instructors: “A distinguishing characteristic of the technique is that the researcher acts as a teacher” [{\it L. P. Steffe}, “The constructivist teaching experiment: illustrations and implications", in: E. von Glaserfeld (ed.), Radical constructivism in mathematics education. Dordrecht: Kluwer Academic Publisher. 177‒194 (1991), p. 177]. The implementation of constructivist pedagogy requires that students must be encouraged and guided to construct knowledge, to discover and create meaning of mathematics themselves.