Proof and proving are important components of school mathematics and have multiple functions in mathematical practice. Among these functions of proof, this paper focuses on the discovery function that refers to invention of a new statement or conjecture by reflecting on or utilizing a constructed proof. Based on two cases in which eighth and ninth…

This article presents a study in which applications were integrated in the Multivariable Calculus course at the Technion in the framework of supplementary tutorials. The purpose of the study was to test the opportunity of extending the conventional curriculum by optional applied problem-solving activities and get initial evidence on the possible…

Aims to find the influence of overcoming fixation in mathematical problem-solving towards divergent thinking in open-ended mathematics problems. Presents findings from an investigation of Japanese junior high school students. Reports that students who can overcome fixation in mathematics can contribute varied and original ideas in open-ended…