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Van den Heuvel-Panhuizen, Marja; Elia, Iliada – ZDM: The International Journal on Mathematics Education, 2020
In this study we investigated the structure of quantitative competence of kindergartners by testing a hypothesized four-factor model of quantitative competence consisting of the components counting, subitizing, additive reasoning and multiplicative reasoning. Data were collected from kindergartners in the Netherlands (n = 334) and in Cyprus (n =…
Descriptors: Kindergarten, Numeracy, Foreign Countries, Mathematics Skills
Vermeulen, Jorine A.; Béguin, Anton; Eggen, Theo J. H. M. – Educational Studies in Mathematics, 2021
This study explored the relationships between task beliefs about the empty number line (ENL), mathematical ability, gender, and voluntary ENL use in multi-digit subtraction and addition. One hundred twenty-three Dutch third-grade students and nine teachers from six schools participated in this study. The multilevel path analysis showed that task…
Descriptors: Elementary School Students, Grade 3, Foreign Countries, Number Concepts
Hickendorff, Marian – European Journal of Psychology of Education, 2018
Strategy flexibility, adaptivity, and the use of clever shortcut strategies are of major importance in current primary school mathematics education worldwide. However, empirical results show that primary school students use such shortcut strategies rather infrequently. The aims of the present study were to analyze the extent to which Dutch sixth…
Descriptors: Foreign Countries, Grade 6, Problem Solving, Mathematics Skills
Noordende, Jaccoline E.; Volman, M(Chiel). J. M.; Leseman, Paul P. M.; Kroesbergen, Evelyn H. – Infant and Child Development, 2017
Previous research suggests that block adding, subtracting and counting direction are early forms of number-space mapping. In this study, an embodiment perspective on these skills was taken. Embodiment theory assumes that cognition emerges through sensory-motor interaction with the environment. In line with this assumption, it was investigated if…
Descriptors: Toddlers, Toys, Handedness, Task Analysis
van Lieshout, Ernest C. D. M.; Xenidou-Dervou, Iro – Educational Studies in Mathematics, 2018
At the start of mathematics education children are often presented with addition and subtraction problems in the form of pictures. They are asked to solve the problems by filling in corresponding number sentences. One type of problem concerns the representation of an increase or a decrease in a depicted amount. A decrease is, however, more…
Descriptors: Mathematics Instruction, Cognitive Processes, Difficulty Level, Addition
Peters, Greet; De Smedt, Bert; Torbeyns, Joke; Ghesquiere, Pol; Verschaffel, Lieven – Educational Studies in Mathematics, 2012
Subtractions of the type M - S = ? can be solved by various strategies, including subtraction by addition. In this study, we investigated children's use of subtraction by addition by means of reaction time analyses. We presented 106 third to sixth graders with 32 large non-tie single-digit problems in both subtraction (12 - 9 = .) and addition…
Descriptors: Reaction Time, Grade 6, Addition, Subtraction
van Galen, Mirte S.; Reitsma, Pieter – Cognition and Instruction, 2011
Predictions of the Identical Elements (IE) model of arithmetic fact representation (Rickard, 2005; Rickard & Bourne, 1996) about transfer between arithmetic facts were tested in primary school children. The aim of the study was to test whether the IE model, constructed to explain adult performance, also applies to children. The IE model…
Descriptors: Transfer of Training, Multiplication, Recall (Psychology), Arithmetic