Students' conceptual understanding and critical thinking? A case for concept maps and vee diagrams in mathematics problem solving

Abstract

Assessing students' conceptual understanding and critical thinking is a real problem for student teachers. The paper presents applications of Novak-type concept maps and Gowin's vee diagrams as means of depicting students' understanding of the knowledge structure of mathematics topics and problems and promoting critical thinking whilst solving problems. Although completed concept maps and vee diagrams illustrate connections between concepts and procedures, their construction is dependent on the extent of reflective and critical thinking students invest in the process. The tools may be used to support students' reasoning while and thinking and working mathematically in primary and secondary mathematics classrooms.