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Egodawatte, Gunawardena – Acta Didactica Napocensia, 2009
Research studies have shown that students encounter difficulties in transitioning from arithmetic to algebra. Errors made by high school students were analyzed for patterns and their causes. The origins of errors were: intuitive assumptions, failure to understand the syntax of algebra, analogies with other familiar symbol systems such as the…
Descriptors: Algebra, Mathematics Skills, High School Students, Secondary School 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
Torner, Gunter – International Group for the Psychology of Mathematics Education, 2003
To probe beyond declarative knowledge about real numbers in secondary school, the authors interviewed students in Grades 9, 10 and 12. The main question seems to be whether the length of a decimal expansion is "indefinite" or "infinite." It blurs the mental representation of rational numbers as well. (Contains 3 footnotes.) [For complete…
Descriptors: Numbers, Grade 9, Cognitive Processes, Case Studies