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Pedagogika
Article . 2017 . Peer-reviewed
License: CC BY SA
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Pedagogika
Article
License: CC BY SA
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Signs of Critical Reflection in Mathematical Experiential Learning Contexts

Authors: Vaiva Grabauskienė; Oksana Mockaitytė-Rastenienė;

Signs of Critical Reflection in Mathematical Experiential Learning Contexts

Abstract

In this article, we analyzed reflections of undergraduate students of Primary school education and also the reflections of gifted primary school children. The reflections were collected in those two subsamples separately, while learning Math in experiential way. For the suitability to observe critical reorganization of mathematical images, the scaling as a subject was chosen. The process of learning in adults has a feature to encompass the critical reflection approach for the problem solving. The aim of our study was to shed light on differences and similarities between adults and gifted primary school children in mathematical reasoning. We used the following methods: case study; observation; audio recordings; and qualitative analysis (i. e. content analysis). In whole study, 13 undergraduate students and 16 gifted children from III–IV grades took a part. The results indicate that the main insights in the mathematical content were made while comparing measurements of different dimensions. The similarities between adults and children were found in how critical reorganization of mathematical images was done. The difference occurred in the extent of reasoning abstraction. Gifted children already at primary school years were able to formulate logical explanations into mathematical rules. However, for the children to make critical reflections, the experiential basis (practice) is obligatory. In contrast, adults used abstract reasoning even in experiential (practical) situations.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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