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Morris, Bradley J.; Masnick, Amy M. – Cognitive Science, 2015
Comparing datasets, that is, sets of numbers in context, is a critical skill in higher order cognition. Although much is known about how people compare single numbers, little is known about how number sets are represented and compared. We investigated how subjects compared datasets that varied in their statistical properties, including ratio of…
Descriptors: Comparative Analysis, Number Concepts, Thinking Skills, Critical Thinking
Vaninsky, Alexander – International Journal of Mathematical Education in Science and Technology, 2011
This article introduces a trigonometric field (TF) that extends the field of real numbers by adding two new elements: sin and cos--satisfying an axiom sin[superscript 2] + cos[superscript 2] = 1. It is shown that by assigning meaningful names to particular elements of the field, all known trigonometric identities may be introduced and proved. Two…
Descriptors: Trigonometry, Mathematics Instruction, Algebra, Mathematical Applications
Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2011
This article deals with a brief history of Fibonacci's life and career. It includes Fibonacci's major mathematical discoveries to establish that he was undoubtedly one of the most brilliant mathematicians of the Medieval Period. Special attention is given to the Fibonacci numbers, the golden number and the Lucas numbers and their fundamental…
Descriptors: Mathematics Education, Numbers, Science Education History, Career Development