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Proportional Reasoning

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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Proportion: Learning Proportional Reasoning Together

2012
Proportional 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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Diagnostic assessment of children’s proportional reasoning

The Journal of Mathematical Behavior, 2003
A proportional reasoning item bank was created from the relevant literature and tested in various forms. Rasch analyses of 303 pupils' test results were used to calibrate the bank, and data from 84 pupils' interviews was used to confirm our diagnostic interpretations.
Misailidou, Christina, Williams, Julian
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Proportional Reasoning with a Pyramid

Mathematics Teaching in the Middle School, 2011
A three-dimensional model and geometry software can help develop students' spatial reasoning and visualization skills.
Ami Mamolo   +2 more
openaire   +1 more source

The Development of Proportional Reasoning in Qatar

The Journal of Genetic Psychology, 1987
Abstract 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, 2012
A hands-on activity helps promote sight-impaired students' understanding of relative and comparative sizes.
Hilton, Geoff   +4 more
openaire   +2 more sources

Proportional Reasoning and Percent

2016
Schoenfeld (1992) notes that constructivism rooted in Piaget is grounded in the belief that “…learning proceeds through construction not absorption” (p. 340). He surmises that teacher beliefs directly influence their pedagogy, he notes a teacher who believed that, “…mathematics is fixed and predetermined, as dictated by the physical world” (p.
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Improper Applications of Proportional Reasoning

Mathematics Teaching in the Middle School, 2003
One 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
openaire   +1 more source

Proportional Reasoning in Nursing Practice

Journal for Research in Mathematics Education, 2001
We investigate how expert nurses undertake the calculation of drug dosages on the ward. This calculation is error-critical in nursing practice and maps onto the concepts of ratio and proportion. Using episodes of actual drug administration gleaned from ethnographic study, we provide evidence that experienced nurses use a range of correct proportional ...
Celia Hoyles   +2 more
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Analysis of the Proportional Distribution Formalization Process on the Perspective of Proportional Reasoning

The Korean Society of Educational Studies in Mathematics - School Mathematics, 2022
The aim of this study is to offer suggestions to improve proportional reasoning ability for teaching and learning proportional distribution and to derive the proportional distribution formalization process on the perspective of proportional reasoning, and analyze the formalization process on the perspective of teaching mathematical expressions.
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