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Angelika Kullberg; Camilla Björklund; Ulla Runesson Kempe; Irma Brkovic; Maria Nord; Tuula Maunula – Educational Studies in Mathematics, 2024
Learning to calculate with natural numbers by structuring seems promising but how this can be taught in a sustainable manner remains an open question. An eight-month-long intervention based on the idea of using a structural approach to addition and subtraction, and particularly bridging through ten, was implemented in four Swedish first-grade…
Descriptors: Student Improvement, Addition, Subtraction, Mathematics Instruction
Kullberg, Angelika; Björklund, Camilla; Brkovic, Irma; Runesson Kempe, Ulla – Educational Studies in Mathematics, 2020
In this paper, we report how 5-year-olds' arithmetic skills developed through participation in an 8-month-long intervention. The intervention program aimed to enhance the children's ways of experiencing numbers' part-part-whole relations as a basis for arithmetic skills and was built on principles from the variation theory of learning. The report…
Descriptors: Preschool Children, Mathematics Skills, Arithmetic, Learning Strategies
Fischer, Jean-Paul; Vilette, Bruno; Joffredo-Lebrun, Sophie; Morellato, Mireille; Le Normand, Céline; Scheibling-Seve, Calliste; Richard, Jean-François – Educational Studies in Mathematics, 2019
The question of teaching a standard written algorithm for the four arithmetical operations in the first years of elementary school is increasingly raised as a consequence of the possibility of using calculators, tablets, and computers. This article first presents arguments both against and for maintaining this teaching in the first school years.…
Descriptors: Mathematics Instruction, Subtraction, Elementary School Mathematics, Elementary School Students
Bunck, M. J. A.; Terlien, E.; van Groenestijn, M.; Toll, S. W. M.; Van Luit, J. E. H. – Educational Studies in Mathematics, 2017
Children who experience difficulties with learning mathematics should be taught by teachers who focus on the child's best way of learning. Analyses of the mathematical difficulties are necessary for fine-tuning mathematics education to the needs of these children. For this reason, an instrument for Observing and Analyzing children's Mathematical…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Test Reliability, Young Children
Nunes, Terezinha; Bryant, Peter; Evans, Deborah; Bell, Daniel; Barros, Rossana – Educational Studies in Mathematics, 2012
The basis of this intervention study is a distinction between numerical calculus and relational calculus. The former refers to numerical calculations and the latter to the analysis of the quantitative relations in mathematical problems. The inverse relation between addition and subtraction is relevant to both kinds of calculus, but so far research…
Descriptors: Intervention, Word Problems (Mathematics), Calculus, Subtraction
Fiori, Carla; Zuccheri, Luciana – Educational Studies in Mathematics, 2005
Pupils' mistakes, if suitably analysed, may give useful suggestions for improving the teaching/learning process of mathematics. We present here the main issues of an investigation on a population of 732 Italian pupils (9--12 years old), addressed to determine the typology of errors in performing written subtraction. We compared our results with…
Descriptors: Foreign Countries, Subtraction, Error Patterns, Mathematics Instruction

Wolters, Miriam A. D. – Educational Studies in Mathematics, 1983
Work by Dutch and Belgian researchers on arithmetic problems involving addition and subtraction is reviewed, especially word problems. It is an attempt to synthesize the research on the relationship between instruction in the part-whole line diagram and the solution of problems. Both logical and psychological interpretations are discussed. (MNS)
Descriptors: Addition, Cognitive Processes, Elementary Education, Elementary School Mathematics

Matthews, Julia – Educational Studies in Mathematics, 1983
This experiment involved 176 London children aged six and seven. Their levels of attainment on subtraction were quickly and accurately established by two questions. Then teaching programs were used to help them attain prerequisite skills. To symbolize too soon is a danger to be avoided. (MNS)
Descriptors: Cognitive Processes, Educational Research, Elementary School Mathematics, Error Patterns