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Download full textJayanthi, Madhavi; Gersten, Russell; Taylor, Mary Jo; Smolkowski, Keith; Dimino, Joseph – Regional Educational Laboratory Southeast, 2017
Contemporary state math standards emphasize that students must demonstrate an understanding of the mathematical ideas underlying the computations that have typically been the core of the elementary school math curriculum. The standards have put an increased emphasis on the study of fractions in upper elementary grades, which are the years during…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Faculty Development, Grade 4
Direct linkNamkung, Jessica M.; Fuchs, Lynn S. – Journal of Educational Psychology, 2016
The purpose of this study was to examine the cognitive predictors of calculations and number line estimation with whole numbers and fractions. At-risk 4th-grade students (N = 139) were assessed on 6 domain-general abilities (i.e., working memory, processing speed, concept formation, language, attentive behavior, and nonverbal reasoning) and…
Descriptors: Predictor Variables, Numbers, Mathematics, Grade 4
Paeplow, Colleen – Wake County Public School System, 2010
In 2006-07, seven Wake County Public School System (WCPSS) middle schools piloted Algebraic Thinking as an alternate approach to teaching middle school mathematics. Algebraic Thinking was developed to help students in grade 6 reach higher mathematics courses by combining the regular and advanced middle school mathematics courses into one…
Descriptors: Secondary School Mathematics, Middle Schools, Algebra, Mathematics Instruction
Xu, Junqin; Zhao, Likuan – International Journal of Mathematical Education in Science & Technology, 2006
Eigenvalue is an important concept in Linear Algebra. It is well known that the eigenvectors corresponding to different eigenvalues of a square matrix are linear independent. In most of the existing textbooks, this result is proven using mathematical induction. In this note, a new proof using Vandermonde determinant is given. It is shown that this…
Descriptors: Mathematical Concepts, Algebra, Mathematical Logic, Mathematics Education
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
Poon, K.-K.; Yeung, K.-W.; Shiu, W.-C. – International Journal of Mathematical Education in Science & Technology, 2005
This paper focuses on the representation of a proper fraction "a"/"b" by a decimal number base "n" where "n" is any integer greater than 1. The scope is narrowed to look at only fractions where "a","b" are positive integers with "a" less than "b" and "b" not equal to 0 nor equal to 1. Some relationships were found between "b" and "n", which…
Descriptors: Arithmetic, Mathematics Education, Mathematical Logic, Problem Solving
