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Direct linkCloot, A. H. J. J.; Meyer, J. H. – International Journal of Mathematical Education in Science & Technology, 2006
This paper investigates a general identity which expresses an apparently complicated and intriguing sum of fractions as an elegant and straightforward sum of simple terms.
Descriptors: Mathematical Formulas, Mathematics Education, Equations (Mathematics), Mathematical Concepts
Osler, Thomas J. – International Journal of Mathematical Education in Science & Technology, 2006
Euler gave a simple method for showing that [zeta](2)=1/1[superscript 2] + 1/2[superscript 2] + 1/3[superscript 2] + ... = [pi][superscript 2]/6. He generalized his method so as to find [zeta](4), [zeta](6), [zeta](8),.... His computations became increasingly more complex as the arguments increased. In this note we show a different generalization…
Descriptors: Mathematics Education, Mathematical Concepts, College Mathematics, Computation
Farnsworth, David L. – Teaching Statistics: An International Journal for Teachers, 2004
This article describes the most compact 100c% interval for a probability density for 0
Descriptors: Probability, Computation, Mathematical Concepts, Statistics
Elzaidi, S. M. – International Journal of Mathematical Education in Science & Technology, 2005
In this note, we give a method for finding the inverse of a three by three magic square matrix without using the usual methods for finding the inverse of a matrix. Also we give a method for finding the inverse of a three by three magic square matrix whose entries are also matrices. By using these ideas, we can construct large matrices whose…
Descriptors: Mathematical Concepts, Matrices, Mathematics Education, Mathematical Logic
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
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
Download full textWolfe, Martin S. – 1980
This report describes the results of Connecticut's second statewide assessment of mathematical knowledge, skills and attitudes. The Connecticut Assessment of Educational Progress annually tests a sample of Connecticut students in grades 4, 8, and 11 in one or more subject areas. Students at each grade level were randomly selected to participate in…
Descriptors: Academic Achievement, Computation, 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
