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Proportional reasoning: A review of the literature
Educational Studies in Mathematics, 1985This paper presents a review of the research on proportional reasoning. Methodologies used in proportional reasoning studies are presented first. The discussion is then organized around the following topics: strategies use to solve proportion problems, including erroneous strategies; factors that influence performance on proportion problems, both task ...
Steven Pulos
exaly +4 more sources
Developmental patterns in proportional reasoning
, 2005 The editors of this book asked the contributors to answer three basic questions about cognitive development: What, how and why. We will attempt to answer these questions by a careful study of one famous case of cognitive development: Piaget's balance scale task for assessing proportional reasoning. In the past, we have investigated this task in various
van der Maas, H. +2 more
core +4 more sources
The capacity of two Australian eighth-grade textbooks for promoting proportional reasoning
Research in Mathematics Education, 2008 In the middle grades mathematics curriculum, proportional reasoning is fundamental to many topics, and hence, there is considerable scope for instruction to focus on assisting students to recognize the proportional structure of many problem situations ...
Shelley Dole
exaly +2 more sources
Inquiry pedagogy to promote emerging proportional reasoning in primary students [PDF]
Mathematics Education Research Journal, 2014 Proportional reasoning as the capacity to compare situations in relative (multiplicative) rather than absolute (additive) terms is an important outcome of primary school mathematics.
Jill Fielding-Wells +2 more
exaly +4 more sources
Zeitschrift für Psychologie, 2016
Abstract. Comparison of ratios is difficult for children and adults. We studied the role of salience and congruity in comparison of ratios using reaction time and functional magnetic resonance imaging (fMRI). Participants were asked to decide which of two mixtures of red and white paint drops (presented in Arabic numerals) was darker.
Ruth Stavy +2 more
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Abstract. Comparison of ratios is difficult for children and adults. We studied the role of salience and congruity in comparison of ratios using reaction time and functional magnetic resonance imaging (fMRI). Participants were asked to decide which of two mixtures of red and white paint drops (presented in Arabic numerals) was darker.
Ruth Stavy +2 more
openaire +1 more source
Proportion: Learning Proportional Reasoning Together
2012Proportional reasoning is a broadly applicable skill that is fundamental to mathematical understanding. While the cognitive development of proportional reasoning is well understood, traditional learning methods are often ineffective. They provide neither real-time feedback nor sophisticated tools to scaffold learning.
Jochen Rick +3 more
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Proportional Reasoning with a Pyramid
Mathematics Teaching in the Middle School, 2011A three-dimensional model and geometry software can help develop students' spatial reasoning and visualization skills.
Ami Mamolo +2 more
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The Development of Proportional Reasoning in Qatar
The Journal of Genetic Psychology, 1987Abstract The development of proportional reasoning in the Arabian Gulf State of Qatar and the United States was examined. The sample consisted of 554 children from Qatar and the U.S. from the fifth, sixth, and seventh grades. The children were administered two paper and pencil tests: the Orange Juice Test developed by Noelting (1980), which measured ...
William M. Bart +2 more
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Proportional Reasoning and the Visually Impaired
Mathematics Teaching in the Middle School, 2012A hands-on activity helps promote sight-impaired students' understanding of relative and comparative sizes.
Hilton, Geoff +4 more
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Improper Applications of Proportional Reasoning
Mathematics Teaching in the Middle School, 2003One of the major goals of elementary and middle-grades mathematics education is for students to obtain a deep understanding of the proportional model in a variety of forms and applications. However, the reinforcement of proportionality at numerous occasions in school mathematics, along with the teaching of some standardized methods for solving ...
Wim Van Dooren, +3 more
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