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Mersin, Nazan; Karabörk, Mehmet Akif; Durmus, Soner – Malikussaleh Journal of Mathematics Learning, 2020
This study seeks to analyse the awareness of the pre-service teachers on the counting methods, systems and tools used in the prehistoric method and the Ancient period and to examine the distribution of this awareness by gender. A total of 42 sophomore-level students studying at a university in the Western Black Sea region, Turkey, participated in…
Descriptors: Preservice Teachers, Mathematics Instruction, History, Mathematics
Kurz, Terri L.; Yanik, H. Bahadir; Lee, Mi Yeon – Clearing House: A Journal of Educational Strategies, Issues and Ideas, 2016
Using a dog's paw as a basis for numerical representation, sixth grade students explored how to count and regroup using the dog's four digital pads. Teachers can connect these base-4 explorations to the conceptual meaning of place value and regrouping using base-10.
Descriptors: Animals, Number Concepts, Mathematics, Mathematics Education
Mejias, Sandrine; Gregoire, Jacques; Noel, Marie-Pascale – Learning and Individual Differences, 2012
It has been hypothesized that developmental dyscalculia (DD) is either due to a defect of the approximate number system (ANS) or to an impaired access between that system and symbolic numbers. Several studies have tested these two hypotheses in children with DD but none has dealt with adults who had experienced DD as children. This study aimed to…
Descriptors: Number Systems, Computation, Mathematics, Adults
White, Paul – Australian Mathematics Teacher, 2004
Bases such as 5 and 12 provide the same structural place value benefits as base 10. However, when numbers less than one are concerned, base 10 provides friendly decimals for the most common fractions of half, quarter, three-quarters. Base 5 is not user friendly at all in this regard. Base 12 would provide nice dozenimals(?) for the same…
Descriptors: Number Systems, Mathematics, Computation
Slovin, Hannaha; Dougherty, Barbara J. – International Group for the Psychology of Mathematics Education, 2004
This paper describes a design research study with ten second-grade students who are part of the Measure Up (MU) research and development project underway at the University of Hawai'i. Students were asked how they counted in multiple bases, specifically how they knew when to go to a new place value and why it was necessary to do so. All ten…
Descriptors: Number Concepts, Concept Formation, Number Systems, Mathematics
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

Stewart, Ian; Tall, David – Mathematics in School, 1979
The author argues that the idea of canonical elements provides a coherent relationship between equivalence relations, the basis of modern approaches to too many mathematical topics, and the traditional aspect of computation. Examples of equivalent relations, canonical elements, and their calculations are given. (MK)
Descriptors: Computation, Mathematics, Mathematics Curriculum, Mathematics Education

Anderson, Oliver D. – Mathematics and Computer Education, 1990
Discusses arithmetic during long-multiplications and long-division. Provides examples in decimal reciprocals for the numbers 1 through 20; connection with divisibility tests; repeating patterns; and a common fallacy on repeating decimals. (YP)
Descriptors: Arithmetic, Computation, Decimal Fractions, Division
Ohio State Univ., Columbus. National Center for Research in Vocational Education. – 1975
This seventh of 10 blocks of student and teacher materials for a secondary/postsecondary level course in electronic principles comprises one of a number of military-developed curriculum packages selected for adaptation to vocational instruction and curriculum development in a civilian setting. Prerequisites are the previous blocks. This block on…
Descriptors: Behavioral Objectives, Computation, Computers, Course Content