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Gebhardt, Markus; Zehner, Fabian; Hessels, Marco G. P. – Frontline Learning Research, 2014
The mission of German special schools is to enhance the education of students with Special Educational Needs in the area of Learning (SEN-L). However, recent studies indicate that students with SEN-L from special schools show difficulties in basic arithmetical operations, and the development of basic mathematical skills during secondary special…
Descriptors: Foreign Countries, Arithmetic, Mathematics, Skills
Vamvakoussi, Xenia; Vosniadou, Stella – Cognition and Instruction, 2010
We present an empirical study that investigated seventh-, ninth-, and eleventh-grade students' understanding of the infinity of numbers in an interval. The participants (n = 549) were asked how many (i.e., a finite or infinite number of numbers) and what type of numbers (i.e., decimals, fractions, or any type) lie between two rational numbers. The…
Descriptors: Secondary School Students, Intervals, Numbers, Mathematics
Herman, Jan; Ilucova, Lucia; Kremsova, Veronika; Pribyl, Jiri; Ruppeldtova, Janka; Simpson, Adrian; Stehlikova, Nada; Sulista, Marek; Ulrychova, Michaela – International Group for the Psychology of Mathematics Education, 2004
Within the large range of potential theoretical perspectives on fractions, this paper considers one particular interpretation: fractions' duality as process and object. By considering the number-fractionbar-number composite symbol as simultaneously representing division and rational, some process-object theories imply that fraction-as-process and…
Descriptors: Mathematics, Mathematics Instruction, Cognitive Processes, Foreign Countries