Journal ArticleDOI
Facility with plane shapes: a multifaceted skill
Elizabeth Warren,Lyn D. English +1 more
TLDR
In this paper, children aged between 4 years and 6 months and 11 years and 10 months were individually administered a series of spatial Tasks involving the conceptualisation and manipulation of an unfamiliar plane shape and an analysis of the children's performance revealed that both initial perception of a shape and approach to task solution strongly influence children's success at shape recognition.Abstract:
Children aged between 4 years and 6 months and 11 years and 10 months were individually administered a series of spatial Tasks involving the conceptualisation and manipulation of an unfamiliar plane shape. An analysis of the children's performance revealed that both initial perception of a shape and approach to task solution strongly influence children's success at shape recognition. The findings also suggest that both visual perception limitations, together with an unwillingness to experiment visually and physically, lead to shape recognition difficulties.read more
Citations
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Five decades of mathematics education research
Matthew Inglis,Colin Foster +1 more
TL;DR: This article analyzed the full text of all articles published in Educational Studies in Mathematics and the Journal for Research in Mathematics Education since their foundation, focusing on the field's changing theoretical orientations and paying particular attention to the relative prominence of the experimental psychology, constructivist, and sociallyocultural programmes.
An Analysis of the Elementary School Mathematics Curriculum and Presentation of Geometry Concepts in Textbooks
TL;DR: Examination of how the geometric concepts are presented in the indicators of the Turkish elementary mathematics curriculum in terms of different orientations and sizes showed that a systematic method has not been followed in the presentation of the geometric shapes in Terms of orientation and size differences in curricular materials.
Dissertation
Structural knowledge about shapes :a case study of young children describing constructing and reflecting on squares
TL;DR: The findings indicate that, provided sufficiently sensitive techniques are employed, it is possible for children to express structural knowledge in diverse and often unconventional ways.
References
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Journal ArticleDOI
Family Resemblances: Studies in the Internal Structure of Categories
Eleanor Rosch,Carolyn B. Mervis +1 more
TL;DR: In this paper, the authors explored the hypothesis that the members of categories which are considered most prototypical are those with most attributes in common with other members of the category and least attributes with other categories and found that family resemblance offers an alternative to criterial features in defining categories.
Principles of categorization
TL;DR: On those remote pages it is written that animals are divided into those that belong to the Emperor, and those that are trained, suckling pigs and stray dogs.
Journal ArticleDOI
Concept Image and Concept Definition in Mathematics with particular reference to Limits and Continuity
TL;DR: The concept image consists of all the cognitive structure in the individual's mind that is associated with a given concept and may have aspects which are quite different from the formal concept definition as discussed by the authors.
Journal ArticleDOI
Education and Thinking: The Role of Knowledge.
TL;DR: In this paper, a brief discussion of the implications of past theories for the teaching of thinking introduces a description of a sample of current programs for improving reasoning and problem-solving skills and related learning abilities.