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Direct linkDominici, Diego – College Mathematics Journal, 2011
This work introduces a distance between natural numbers not based on their position on the real line but on their arithmetic properties. We prove some metric properties of this distance and consider a possible extension.
Descriptors: Mathematics Instruction, Teaching Methods, Numbers, Arithmetic
Nunes, Terezinha; Bryant, Peter; Evans, Deborah; Bell, Daniel; Barros, Rossana – Educational Studies in Mathematics, 2012
The basis of this intervention study is a distinction between numerical calculus and relational calculus. The former refers to numerical calculations and the latter to the analysis of the quantitative relations in mathematical problems. The inverse relation between addition and subtraction is relevant to both kinds of calculus, but so far research…
Descriptors: Intervention, Word Problems (Mathematics), Calculus, Subtraction
Swenton, Frank J. – International Journal of Mathematical Education in Science & Technology, 2006
The paper details a comprehensive system for the treatment of the topic of limits--conceptually, computationally, and formally. The system addresses fundamental linguistic flaws in the standard presentation of limits, which attempts to force limit discussion into the language of individual real numbers and equality. The system of near-numbers…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Number Systems
Glaister, Paul – International Journal of Mathematical Education in Science & Technology, 2006
A method for generating sums of series based on simple differential operators is presented, together with a number of worked examples with interesting properties.
Descriptors: Calculus, Geometry, Problem Solving, Numbers
Yan, S. Y.; James, G. – International Journal of Mathematical Education in Science & Technology, 2006
The modular exponentiation, y[equivalent to]x[superscript k](mod n) with x,y,k,n integers and n [greater than] 1; is the most fundamental operation in RSA and ElGamal public-key cryptographic systems. Thus the efficiency of RSA and ElGamal depends entirely on the efficiency of the modular exponentiation. The same situation arises also in elliptic…
Descriptors: Mathematics, Item Response Theory, Calculus, Multivariate Analysis
Download full textHoines, Marit Johnsen, Ed.;; Fuglestad, Anne Berit, Ed. – International Group for the Psychology of Mathematics Education, 2004
This document contains the fourth volume of the proceedings of the 28th annual conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Inclusion and Diversity". This volume features 64 research report papers: (1) Situated or Abstract: The Effect of…
Descriptors: Foreign Countries, Equations (Mathematics), Teaching Methods, Misconceptions
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…
Descriptors: Educational Theories, Elementary School Mathematics, Semiotics, Mathematics Education
