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Loop Invariants, Exploration of Regularities, and Mathematical Games.
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Ginat, David – International Journal of Mathematical Education in Science and Technology, 2001
Presents an approach for illustrating, on an intuitive level, the significance of loop invariants for algorithm design and analysis. The illustration is based on mathematical games that require the exploration of regularities via problem-solving heuristics. (Author/MM)
Descriptors: Algorithms, Educational Games, Heuristics, Higher Education
Euclid, Fibonacci, and Pascal--Recursed!
Peer reviewed Peer reviewed
Peelle, Howard A. – International Journal of Mathematical Education in Science and Technology, 1975
Use of the computer programs provided here in APL programming language can help students understand computational algorithms. (SD)
Descriptors: Algebra, Algorithms, College Mathematics, Computer Programs
On Highest Common Factor and Least Common Multiple in the Secondary School Mathematics Curriculum.
Peer reviewed Peer reviewed
Davies, H. B. – International Journal of Mathematical Education in Science and Technology, 1980
Attention is drawn to an ancient Greek method for finding the least common multiple (LCM) of two numbers. A link is established between this method and a well-known method of obtaining the highest common factor (HCF) numbers. This leads to consideration of some relationships between HCF and LCM. (Author/MK)
Descriptors: Algorithms, Mathematical Formulas, Mathematics Curriculum, Mathematics Instruction
Conversational Programming-An Instructional Plus
Peer reviewed Peer reviewed
Bishop, W. – International Journal of Mathematical Education in Science and Technology, 1976
The merits of having students interact with the computer rather than use canned programs to solve problems are discussed. Examples are provided. (SD)
Descriptors: Algorithms, College Mathematics, Computer Oriented Programs, Higher Education