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Levels of Arithmetic Reasoning in Solving an Open-Ended Problem
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Kosyvas, Georgios – International Journal of Mathematical Education in Science and Technology, 2016
This paper presents the results of an experimental teaching carried out on 12-year-old students. An open-ended task was given to them and they had not been taught the algorithmic process leading to the solution. The formal solution to the problem refers to a system of two linear equations with two unknown quantities. In this mathematical activity,…
Descriptors: Arithmetic, Mathematical Logic, Problem Solving, Equations (Mathematics)
The Number Line: An Auxiliary Means or an Obstacle?
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Skoumpourdi, Chrysanthi – International Journal for Mathematics Teaching and Learning, 2010
The aim of this paper is to investigate the ways in which the number line can function in solving mathematical tasks by first graders (6 year olds). The main research question was whether the number line functioned as an auxiliary means or as an obstacle for these students. Through analysis of the 32 students' answers it appears that the number…
Descriptors: Grade 1, Mathematics Instruction, Problem Solving, Mathematical Applications
From Formal to Semi-Informal Algorithms: The Passage of a Classroom into a New Mathematical Reality
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Boufi, Ada; Skaftourou, Frosso – International Group for the Psychology of Mathematics Education, 2004
In contrast to the traditional top-down approach, a bottom-up approach is proposed by current reform in mathematics education. According to this alternative proposal, algorithmizing is the activity in which students should be involved. What can we do when we want to enact such an algorithmizing approach in a classroom and our students have already…
Descriptors: Grade 5, Educational Change, Mathematics Instruction, Multiplication
The Development of Children's Early Numeracy through Key Stage 1
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Aubrey, Carol; Godfrey, Ray – British Educational Research Journal, 2003
This paper describes a limited longitudinal study of young children's early numeracy development within three testing cycles, at the mid-point and towards the end of their reception year (at five years-of-age) and again at the mid-point of Year 1 (at six years-of-age), located within the broader context of progress through to Key Stage 1 SAT…
Descriptors: Foreign Countries, Urban Areas, Arithmetic, Testing
Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006). Volume 2
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Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…
Descriptors: Program Effectiveness, Foreign Countries, Middle Schools, Textbooks
Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006). Volume 5
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Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the fifth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Sac and Zaz:…
Descriptors: Program Effectiveness, Foreign Countries, Symbols (Mathematics), Preservice Teacher Education