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Hirsch, Jenna – MathAMATYC Educator, 2012
A facility with signed numbers forms the basis for effective problem solving throughout developmental mathematics. Most developmental mathematics textbooks explain signed number operations using absolute value, a method that involves considering the problem in several cases (same sign, opposite sign), and in the case of subtraction, rewriting the…
Descriptors: Mathematics Education, Number Concepts, Number Systems, Numbers
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
Danielson, Christopher – School Science and Mathematics, 2010
This paper describes the author's attempt to design assignments that engage preservice elementary teachers in original mathematical thinking. In particular, the choice of integer operations as the focus of a structured writing assignment that takes students two weeks to complete is explained and justified. Exemplary student work is quoted.…
Descriptors: Writing Assignments, Preservice Teachers, Elementary School Curriculum, Preservice Teacher Education
de Oliveira, E. Capelas – International Journal of Mathematical Education in Science and Technology, 2008
We present a general formula for a triple product involving four real numbers. As a particular case, we get the sum of a triple product of four odd integers. Some interesting results are recovered. We derive a general formula for more than four odd numbers.
Descriptors: Mathematical Applications, Numbers, Number Concepts, Problem Sets