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Liu, Qiushan; Braithwaite, David – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2023
Rational numbers are represented by multiple notations: fractions, decimals, and percentages. Whereas previous studies have investigated affordances of these notations for representing different types of information (DeWolf et al., 2015; Tian et al., 2020), the present study investigated their affordances for solving different types of arithmetic…
Descriptors: Fractions, Arithmetic, Mathematical Concepts, Affordances
Glaser, Maria; Knops, André – Journal of Numerical Cognition, 2023
The notion that mental arithmetic is associated with shifts of spatial attention along a spatially organised mental number representation has received empirical support from three lines of research. First, participants tend to overestimate results of addition and underestimate those of subtraction problems in both exact and approximate formats.…
Descriptors: Spatial Ability, Mental Computation, Arithmetic, Attention
Lo, Steson; Andrews, Sally – Journal of Numerical Cognition, 2022
In Asia, some children are taught a calculation technique known as the 'mental abacus'. Previous research indicated that mental abacus experts can perform extraordinary feats of mental arithmetic, but it disagrees as to whether the technique improves working memory. The present study extended and clarified these findings by contrasting performance…
Descriptors: Mental Computation, Expertise, Short Term Memory, Schemata (Cognition)
Kalinec-Craig, Crystal A.; Prasad, Priya V.; Mira, Raquel Vallines; Walls, Carey – Issues in the Undergraduate Mathematics Preparation of School Teachers, 2019
This paper details an exploratory study of 14 elementary prospective teachers (PTs) solving purposefully crafted, two-digit addition problems. The numbers in each problem were chosen to elicit diverse solution strategies. We coded 95 responses based on the ways the PTs completed the calculation (for example, by referring to the number as…
Descriptors: Elementary School Teachers, Preservice Teachers, Addition, Problem Solving
Alnajashi, Sumyah – Journal of Cognitive Education and Psychology, 2021
This study aims to examine the differences in numerosity estimation on a right-to-left number line between second- to fourth-grade students and undergraduate students, together with whether number-line estimation is related to basic arithmetic tasks (addition and subtraction). Hence, 53 Arabic-speaking children and 63 Arabic-speaking adults…
Descriptors: Computation, Grade 2, Grade 3, Grade 4
Tekin Sitrava, Reyhan – European Journal of Educational Research, 2018
The aim of this qualitative case study is to investigate prospective mathematics teachers' subject matter knowledge of the underlying concepts of standard and nonstandard algorithms used to solve the problems with whole numbers. Twenty three prospective mathematics teachers enrolled in the Elementary Mathematics Education Program of one of the…
Descriptors: Foreign Countries, Case Studies, Preservice Teachers, Mathematics Teachers
Campbell, Jamie I. D.; Beech, Leah C. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2014
Several types of converging evidence have suggested recently that skilled adults solve very simple addition problems (e.g., 2 + 1, 4 + 2) using a fast, unconscious counting algorithm. These results stand in opposition to the long-held assumption in the cognitive arithmetic literature that such simple addition problems normally are solved by fact…
Descriptors: Adults, Addition, Mathematics, Generalization
Rushton, Sheryl J.; Hadley, Kristin M.; Stewart, Penée W. – Journal of the International Society for Teacher Education, 2016
Developing high levels of mathematical skills in students is a concern for teachers worldwide, since most of the fastest growing occupations require significant mathematics or science preparation. Teachers need to be prepared to teach mathematics successfully. If teachers are not fluent in simple mathematical calculations, they may not feel…
Descriptors: Mathematics Instruction, Preservice Teachers, Self Efficacy, Mathematics Skills
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
Ric, Francois; Muller, Dominique – Journal of Experimental Psychology: General, 2012
This research shows that people can unconsciously initiate and follow arithmetic rules (e.g., addition). Participants were asked to detect whether a symbol was a digit. This symbol was preceded by 2 digits and a subliminal instruction: "add" or a control instruction. Participants were faster at identifying a symbol as a number when the…
Descriptors: Arithmetic, Cognitive Processes, Problem Solving, Numbers
Siregar, Johannes Hamonangan; Wiyanti, Wiwik; Wakhyuningsih, Nur Safitri; Godjali, Ali – Indonesian Mathematical Society Journal on Mathematics Education, 2014
We propose learning Matematika GASING to help students better understand the addition material. Matematika GASING is a way of learning mathematics in an easy, fun and enjoyable fashion. GASING is short for GAmpang, aSyIk, and menyenaNGkan (Bahasa Indonesia for easy, fun and enjoyable). It was originally developed by Prof. Yohanes Surya at the…
Descriptors: Mathematics Instruction, Teaching Methods, Addition, Foreign Countries
Almeida, Rut; Bruno, Alicia – International Journal of Mathematical Education in Science and Technology, 2014
This paper analyses the strategies used by pre-service primary school teachers for solving simple addition problems involving negative numbers. The findings reveal six different strategies that depend on the difficulty of the problem and, in particular, on the unknown quantity. We note that students use negative numbers in those problems they find…
Descriptors: Preservice Teachers, Elementary School Teachers, Problem Solving, Elementary School Mathematics
Fritz-Stratmann, Annemarie; Ehlert, Antje; Klüsener, Gabriele – South African Journal of Childhood Education, 2014
This paper argues for teaching pre-service teachers about remediation strategies for learners who encounter problems in mathematics in the early grades. The premise is that all teachers should be equipped with theory-based practical knowledge to support learning. A few teaching sessions to develop the concepts that underlie the mathematical…
Descriptors: Mathematics, Mathematics Instruction, Teaching Methods, Mathematical Concepts
Campbell, Jamie I. D.; Thompson, Valerie A. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2012
Retrieval-induced forgetting (RIF) is a widely studied phenomenon of human memory, but RIF of arithmetic facts remains relatively unexplored. In 2 experiments, we investigated RIF of simple addition facts (2 + 3 = 5) from practice of their multiplication counterparts (2 x 3 = 6). In both experiments, robust RIF expressed in response times occurred…
Descriptors: Evidence, Semantics, Memory, Multiplication
Colome, Angels; Bafalluy, Maria Gracia; Noel, Marie-Pascale – Psicologica: International Journal of Methodology and Experimental Psychology, 2011
Some current models of mathematical cognition (Dehaene, 1992; Campbell & Clark, 1992) make strong claims about the code in which arithmetical operations are solved, basing themselves on how these operations were originally acquired or are most frequently employed. However, data on acquisition and use are often derived from anecdotic reports…
Descriptors: Semitic Languages, Questionnaires, Arithmetic, Toys
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