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Laudano, Francesco – International Journal of Mathematical Education in Science and Technology, 2022
We introduce the concept of the "sequence of the ratios of convex quadrilaterals," identify some properties of these sequences and use them to provide new characterizations for some classic quadrilateral families. The research involves aspects of geometry, arithmetic and mathematical analysis, which converge to produce the results.
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Geometry
Simons, C. S.; Wright, M. – International Journal of Mathematical Education in Science and Technology, 2007
With Simson's 1753 paper as a starting point, the current paper reports investigations of Simson's identity (also known as Cassini's) for the Fibonacci sequence as a means to explore some fundamental ideas about recursion. Simple algebraic operations allow one to reduce the standard linear Fibonacci recursion to the nonlinear Simon's recursion…
Descriptors: Mathematical Concepts, Mathematics Education, Algebra, Mathematical Applications
Witt, Catherine L.; Wager, Walter – Educational Technology, 1994
Compares the analysis, design, development, and evaluation of electronic performance support tools and systems to a traditional instructional systems design model. Topics discussed include indeterminate outcomes; rapid prototyping; front end analysis; intervention strategies; sequencing; user control; media selection; formative evaluation; and…
Descriptors: Comparative Analysis, Formative Evaluation, Instructional Design, Learner Controlled Instruction