n Pythagoras - Using an inductive approach for definition making : monotonicity and boundedness of sequences

Volume 2009, Issue 70
  • ISSN : 1012-2346
  • E-ISSN: 2223-7895


The study investigated fourth-year students' construction of the definitions of monotonicity and boundedness of sequences, at the Edgewood Campus of the University of KwaZulu-Natal in South Africa. Structured worksheets based on a guided problem solving teaching model were used to help students to construct the two definitions. A group of twenty three undergraduate teacher trainees participated in the project. These students specialised in the teaching of mathematics in the Further Education and Training (FET) (Grades 10 to 12) school curriculum. This paper, specifically, reports on the investigation of students' definition constructions based on a learning theory within the context of advanced mathematical thinking and makes a contribution to an understanding of how these students constructed the two definitions. It was found that despite the intervention of a structured design, these definitions were partially or inadequately conceptualised by some students.

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