Investigating algorithmic and creative reasoning strategies by eye tracking

Exploration of Creative Mathematical Reasoning in Solving Geometric Problems

“…NS explains the agency by using visualization in the form of a triangle construction. Similar results were delivered by Norqvist et al (2019). Students that practice by CMR-tasks generally give more attention to the illustration.…”

“…Reasoning tests are in the form of questions essay, which are non-routine questions about triangle congruence. The questions used as research instruments are somewhat different from the concepts students have learned and are rarely found in reference books (Jäder, 2019;Norqvist et al, 2019). This is intended to capture the creative reasoning of students.…”

“…Problem number 1 is a question that requires students to reason creatively. The CMR approach can be seen as an alternative to enhance learning through students' own mathematical reasoning (Norqvist et al, 2019). Problem number 2 uses an imitative approach that is algorithmic, which is a problem that is algorithmically the same as what students encounter in the reference book or lecturer explanation (Jonsson, Norqvist, Liljekvist, & Lithner, 2014;Norqvist et al, 2019).…”

“…Reasoning skills can be developed in the learning process. The reasoning is the line of thought, which is adopted to produce assertions and reach conclusions (Lithner, 2008;Norqvist, Jonsson, Lithner, Qwillbard, & Holm, 2019). The reasoning is a line of thought, a way of thinking adopted to produce statements and obtain conclusions.…”

“…This solution often does not display the actual reason used to reach the answer, but rather an ideal summary. The problem referred to in this case, is a task or problem that is intellectually difficult for an individual (Lithner, 2008;Norqvist et al, 2019;Schoenfeld, 1985).…”