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Direct linkDana-Picard, Thierry; Zeitoun, David G. – International Journal of Mathematical Education in Science and Technology, 2012
We present a sequence of improper integrals, for which a closed formula can be computed using Wallis formula and a non-straightforward recurrence formula. This yields a new integral presentation for Catalan numbers.
Descriptors: Mathematical Formulas, Numbers, Mathematics Instruction, Teaching Methods
Shutler, Paul M. E.; Fong, Ng Swee – International Journal of Mathematical Education in Science and Technology, 2010
Modern Hindu-Arabic numeration is the end result of a long period of evolution, and is clearly superior to any system that has gone before, but is it optimal? We compare it to a hypothetical base 5 system, which we dub Predator arithmetic, and judge which of the two systems is superior from a mathematics education point of view. We find that…
Descriptors: Elementary School Mathematics, Mathematics Instruction, Computation, Arithmetic
Abramovich, Sergei; Strock, Tracy – International Journal of Mathematical Education in Science and Technology, 2002
The paper describes the use of a spreadsheet in a mathematics teacher education course. It shows how the tool can serve as a link between seemingly disconnected mathematical concepts. The didactical triad of using a spreadsheet as an agent, consumer, and amplifier of mathematical activities allows for an extended investigation of simple yet…
Descriptors: Preservice Teacher Education, Education Courses, Mathematical Concepts, Mathematics Instruction
