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Download full textSquire, Barry – Australian Mathematics Teacher, 2005
This document shows a different way of adding lists of numbers to find a way of getting general formulae for figurate numbers and use Gauss?s method to check it.
Descriptors: Mathematical Formulas, Computation, Mathematics, Numbers
Direct linkChen, Hongwei; Khalili, Parviz – International Journal of Mathematical Education in Science & Technology, 2005
In this note we give closed forms for a class of logarithmic integrals in terms of Bernoulli polynomials. This provides a method for unifying a large class of definite integrals.
Descriptors: Numbers, Mathematics Education, Computation, Mathematical Formulas
Kim, T.; Ryoo, C. S.; Jang, L. C.; Rim, S. H. – International Journal of Mathematical Education in Science & Technology, 2005
The Bernoulli numbers are among the most interesting and important number sequences in mathematics. They first appeared in the posthumous work "Ars Conjectandi" (1713) by Jacob Bernoulli (1654-1705) in connection with sums of powers of consecutive integers (Bernoulli, 1713; or Smith, 1959). Bernoulli numbers are particularly important in number…
Descriptors: Numbers, Mathematics Education, Mathematical Concepts, Equations (Mathematics)
Goldberg, Mayer – International Journal of Mathematical Education in Science & Technology, 2005
In this work, we present an algorithm for computing logarithms of positive real numbers, that bears structural resemblance to the elementary school algorithm of long division. Using this algorithm, we can compute successive digits of a logarithm using a 4-operation pocket calculator. The algorithm makes no use of Taylor series or calculus, but…
Descriptors: Numbers, Calculus, Calculators, Mathematical Concepts
Gailiunas, P.; Sharp, J. – International Journal of Mathematical Education in Science & Technology, 2005
Everyone is familiar with the concept that the cube and octahedron, dodecahedron and icosahedron are dual pairs, with the tetrahedron being self-dual. On the face of it, the concept seems straightforward; however, in all but the most symmetrical cases it is far from clear. By using the computer and three-dimensional graphics programs, it is…
Descriptors: Logical Thinking, Computer Graphics, Computer Simulation, Thinking Skills
Education Commission of the States, Denver, CO. National Assessment of Educational Progress. – 1977
The National Assessment of Educational Progress (NAEP) administered the selected supplemental mathematics exercises to 13-year-old students during October and November 1975 and to 17-year-old students during March and April 1976. This assessment represents a specially modified supplement to 1972-73 full-scale mathematics assessment and was…
Descriptors: Computation, Definitions, Educational Assessment, Elementary Secondary Education
Mullis, Ina V. S.; Martin, Michael O.; Ruddock, Graham J.; O'Sullivan, Christine Y.; Arora, Alka; Erberber, Ebru – International Association for the Evaluation of Educational Achievement, 2005
Developing the Trends in International Mathematics and Science Study (TIMSS) 2007 Assessment Frameworks represents an extensive collaborative effort involving individuals and expert groups from more than 60 countries around the world. The document contains three frameworks for implementing TIMSS 2007--the Mathematics Framework, the Science…
Descriptors: Grade 8, Grade 4, Geometric Concepts, Science Tests
