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  • 标题:Signs of Critical Reflection in Mathematical Experiential Learning Contexts
  • 本地全文:下载
  • 作者:Vaiva Grabauskienė ; Oksana Mockaitytė-Rastenienė
  • 期刊名称:Pedagogika
  • 印刷版ISSN:1392-0340
  • 出版年度:2017
  • 卷号:127
  • 期号:3
  • 语种:Lithuanian
  • 出版社:Vilnius Pedagogical University
  • 摘要:Matematinio samprotavimo mokymasis neatsiejamas nuo kritinės refleksijos raiškos. Šiame straipsnyje aptarti ir palyginti suaugusiųjų ir vaikų patirtinės mastelio tyrinėjimo veiklos metu išsakytų refleksijų raiškos bruožai. Nagrinėti problemos iškėlimo, jos analizės, klausimų ir atsakymų formulavimo aspektai. Įvardyti refleksijos kritiškumo; abstraktumo ir praktinio pagrindo dermės; refleksijos formuluotės panašumai ir skirtumai. Esminiai žodžiai: matematinis samprotavimas, patirtinis mokymasis, kritinės refleksijos, refleksijų palyginimas.
  • 其他摘要: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.
  • 关键词:mathematical reasoning; experiential learning; critical reflections; comparison of reflections
  • 其他关键词:mathematical reasoning; experiential learning; critical reflections; comparison of reflections
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