Developing Students Understanding of the Concept of Integral
The definite and the indefinite integrals and their link through the Fundamental Theorem of Calculus
This book describes an Action Research project within the researcher’s practice as a teacher educator in Rwanda.
A teaching style informed by the Theory of Didactical Situations in Mathematics (Artigue, 1994; Brousseau, 1997; 2004; Douady, 1991) and by the Zone of Proximal Development (Gallimore & Tharp, 1990; Meira & Lerman, 2001; Vygotsky, 1978) was conducted with first-year mathematics student teachers in Rwanda.
The aim of the teaching model was to develop the student teachers’ understanding of the concepts of the definite and the indefinite integrals and their link through the fundamental theorem of calculus.
The findings of the analysis answer the research questions, on the one hand, of what concept images (Tall & Vinner, 1981; Vinner & Dreyfus, 1989) of the underlying concepts of integrals student teachers exhibit, and how the student teachers’ concept images evolved during the teaching.
Faustin Habineza, Doctor of Philosophy in Mathematics Education; I graduated from the University of KwaZulu-Natal in the Republic of South Africa.
I have fifteen years of teaching at University in Rwanda.
I am Lecturer at the Institut d'Enseignement Superieur de Ruhengeri teaching Mathematics, Mathematics Education and Research Methodology.