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David Muñez; Josetxu Orrantia; Rosario Sanchez; Lieven Verschaffel; Laura Matilla – Journal of Cognition and Development, 2025
Previous research has demonstrated a link between children's ability to name canonical finger configurations and their mathematical abilities. This study aimed to investigate the nature of this association, specifically exploring whether the relationship is skill and handshape specific and identifying the underlying mechanisms involved.…
Descriptors: Foreign Countries, Elementary School Mathematics, Elementary School Students, Elementary School Teachers
David Muñez; Josetxu Orrantia; Rosario Sanchez; Verónica Carreton; Laura Matilla – Journal of Cognition and Development, 2024
This study investigates how the approximate number system (ANS) and young children's symbolic skills jointly develop and interact. Specifically, the study aims at disentangling the directionality of the association between ANS acuity and a wide range of symbolic skills that reflect 4- to 5-year-olds' symbolic quantitative knowledge (enumeration…
Descriptors: Number Systems, Numeracy, Symbols (Mathematics), Young Children
Carrillo-Gallego, Dolores; Maurandi-López, Antonio; Olivares-Carrillo, Pilar – Paedagogica Historica: International Journal of the History of Education, 2023
The mechanisms of dissemination of the counting frames in the teaching of mathematics in Spain during the nineteenth century are studied. José Mariano Vallejo and Pablo Montesino proposed them in order to facilitate an arithmetic initiation based on intuition, following Pestalozzi's proposals. The diffusion channels considered were pedagogical…
Descriptors: Foreign Countries, Mathematics Instruction, Arithmetic, Computation
Orrantia, Josetxu; Múñez, David; San Romualdo, Sara; Verschaffel, Lieven – Psicologica: International Journal of Methodology and Experimental Psychology, 2015
Adults' simple arithmetic performance is more efficient when operands are presented in Arabic digit (3 + 5) than in number word (three + five) formats. An explanation provided is that visual familiarity with digits is higher respect to number words. However, most studies have been limited to single-digit addition and multiplication problems. In…
Descriptors: Mathematics Instruction, Arithmetic, Word Problems (Mathematics), Problem Solving
Torres-Jimenez, Jose; Rangel-Valdez, Nelson; Gonzalez-Hernandez, Ana Loreto; Avila-George, Himer – International Journal of Mathematical Education in Science and Technology, 2011
A branch of mathematics commonly used in cryptography is Galois Fields GF(p[superscript n]). Two basic operations performed in GF(p[superscript n]) are the addition and the multiplication. While the addition is generally easy to compute, the multiplication requires a special treatment. A well-known method to compute the multiplication is based on…
Descriptors: Numbers, Mathematics Instruction, Tables (Data), Arithmetic
Rodriguez, Purificacion; Lago, M. Oliva; Hernandez, M. Lourdes; Jimenez, Laura; Guerrero, Silvia; Caballero, Sonia – European Journal of Psychology of Education, 2009
Division-With-Remainder (DWR) problems are particularly complex, as suggested in many studies. The purpose of this work was to establish whether students' difficulties in DWR problems came from an inadequate initial representation or from an inadequate final interpretation of the numerical answers, and whether remainders could be grouped into two…
Descriptors: Foreign Countries, Secondary School Students, Student Problems, Arithmetic
Language-Specific Effects on Number Computation in Toddlers: A European Cross-Linguistic Cartography
Lubin, Amelie; Pineau, Arlette; Hodent, Celia; Houde, Olivier – Cognitive Development, 2006
A fundamental question in developmental science is how brains with and without language compute numbers. Measuring young children's verbal reactions in Spain and Finland, we show that, although there is a general arithmetic ability for small numbers that is shared by monkeys and preverbal infants, the development of such initial knowledge in…
Descriptors: Foreign Countries, Cartography, Numbers, Computation
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…
Descriptors: Program Effectiveness, Foreign Countries, Middle Schools, Textbooks