The Mathematics education community has long recognized the importance of diagrams in the solution of mathematical problems. Particularly, it is stated that diagrams facilitate the solution of mathematical problems because they represent problems’ structure and information (Novick & Hurley, 2001; Diezmann, 2005). Novick and Hurley were the first to introduce three well-defined types of diagrams, that is, network, hierarchy, and matrix, which represent different problematic situations. In the present study, we investigated the effects of these types of diagrams in non-routine mathematical problem solving by contrasting students’ abilities to solve problems with and without the presence of diagrams. Structural equation modeling affirmed the existence of two first-order factors indicating the differential effects of the problems’ representation, i.e., text with diagrams and without diagrams, and a second-order factor representing general non-routine problem solving ability in mathematics. Implicative analysis showed the influence of the presence of diagrams in the problems’ hierarchical ordering. Furthermore, results provided support for other studies (e.g. Diezman & English, 2001) which documented some students’ difficulties to use diagrams efficiently for the solution of problems. We discuss the findings and provide suggestions for the efficient use of diagrams in the problem solving situation.
- RT @MatthewMaddux: Developing mathematical knowledge for teaching teachers: potentials of history of mathematics in teacher educator traini… 10 months ago
- RT @CERME11_2019: In preparation for the conference, we kindly ask you to send questions about ERME research, questions about ERME itself,… 10 months ago
- Developing mathematical knowledge for teaching teachers: potentials of history of mathematics in teacher educator t… twitter.com/i/web/status/1… 10 months ago
- Looking forward to last day (for me) of the EML 2018 with @deborah_ball. What a wonderful opportunity to study, dis… twitter.com/i/web/status/1… 1 year ago
- RT @A2SchoolsSuper: We ❤️ #TreeTown @A2schools #InspireA2 #A2gether Ann Arbor named best place to live in America - again https://t.co/yRrH… 1 year ago