Fostering Recursive Thinking in Combinatorics through the Use of Manipulatives and Computing Technology
Mathematics Educator Volume 7, Number 1, ISSN 1062-9017
Describes the use of manipulatives for solving simple combinatorial problems which can lead to the discovery of recurrence relations for permutations and combinations. Numerical evidence and visual imagery generated by a computer spreadsheet through modeling these relations can enable students to experience the ease and power of combinatorial reasoning, recursion, and mathematical induction proof. (MKR)
Abramovich, S. & Pieper, A. (1996). Fostering Recursive Thinking in Combinatorics through the Use of Manipulatives and Computing Technology. Mathematics Educator, 7(1), 4-12.