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Stéphanie Chouteau; Benoît Lemaire; Catherine Thevenot; Jasinta Dewi; Karine Mazens – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2024
It is commonly accepted that repeatedly using mental procedures results in a transition to memory retrieval, but the determinant of this process is still unclear. In a 3-week experiment, we compared two different learning situations involving basic additions, one based on counting and the other based on arithmetic fact memorization. Two groups of…
Descriptors: Foreign Countries, French, Native Speakers, College Students
Wittmann, Michael C.; Black, Katrina E. – Physical Review Special Topics - Physics Education Research, 2015
Students learning to separate variables in order to solve a differential equation have multiple ways of correctly doing so. The procedures involved in "separation" include "division" or "multiplication" after properly "grouping" terms in an equation, "moving" terms (again, at times grouped) from…
Descriptors: Mathematics, Calculus, Problem Solving, Mechanics (Physics)
Tenison, Caitlin; Anderson, John R. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2016
A focus of early mathematics education is to build fluency through practice. Several models of skill acquisition have sought to explain the increase in fluency because of practice by modeling both the learning mechanisms driving this speedup and the changes in cognitive processes involved in executing the skill (such as transitioning from…
Descriptors: Skill Development, Mathematics Skills, Learning Processes, Markov Processes
Yost, David – Australian Senior Mathematics Journal, 2008
A derivative is the limit of a quotient. It is an abstraction of division. Since division is harder to understand than multiplication, teachers teach it later, hopefully only after a sound understanding of multiplication has been attained. For the same reason, it may make sense to teach integration first, and move on to differential calculus only…
Descriptors: Calculus, Teaching Methods, Foreign Countries, Mathematics Instruction
Imbo, Ineke; LeFevre, Jo-Anne – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2009
In the present study, the authors tested the effects of working-memory load on math problem solving in 3 different cultures: Flemish-speaking Belgians, English-speaking Canadians, and Chinese-speaking Chinese currently living in Canada. Participants solved complex addition problems (e.g., 58 + 76) in no-load and working-memory load conditions, in…
Descriptors: Cultural Differences, Arithmetic, Problem Solving, Short Term Memory
Torbeyns, Joke; De Smedt, Bert; Stassens, Nick; Ghesquiere, Pol; Verschaffel, Lieven – Mathematical Thinking and Learning: An International Journal, 2009
Subtraction problems of the type a - b = ? can be "flexibly" solved by various strategies, including the indirect addition strategy ("how much do I have to add to b to get at a?"). Little research has been done on the use of the indirect addition strategy with multi-digit numbers. The present literature review entails a summary…
Descriptors: Elementary School Students, Young Adults, Subtraction, Learning Strategies
Hoines, Marit Johnsen, Ed.;; Fuglestad, Anne Berit, Ed. – International Group for the Psychology of Mathematics Education, 2004
This document contains the second 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 65 research report papers: (1) Constructing Meanings and Utilities within Algebraic…
Descriptors: Foreign Countries, Teaching Methods, Student Characteristics, Research Tools
Bove, Francis – 2003
This basic math skills teaching and learning guide contains practical advice and resources for British vocational teachers who have little formal mathematics education training and for beginning teachers. The document has five sections on these topics dealing with numeracy instruction: (1) overview of the basic skill and its application to other…
Descriptors: Academic Achievement, Academic Standards, Adult Educators, Adult Students
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 fifth volume of the proceedings of the 30th 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 59 research reports by presenters with last names beginning between Sac and Zaz:…
Descriptors: Program Effectiveness, Foreign Countries, Symbols (Mathematics), Preservice Teacher Education