Development of mathematical concepts as basis for an elaborated mathematical understanding

South African Journal of Childhood Education

 
 
Field Value
 
Title Development of mathematical concepts as basis for an elaborated mathematical understanding
 
Creator Fritz-Stratmann, Annemarie Agnes
 
Subject — development of mathematical concepts, numeracy, arithmetic, assessment, adaptive training, Rasch model —
Description A common theme of models of conceptual growth is to establish the hierarchical structures of abilities that can be interpreted along developmental lines. Integrating the literature on the development of mathematical concepts and skills in children, a comprehensive 6 level model for describing, explaining and predicting the development of key numerical concepts and arithmetic skills from age 4 to 8, is proposed. Two studies will be presented. In the first study, 1095 preschool children completed a mathematics test (MARKO-D0) based on a 5-level model. The test fitted with a one-dimensional Rasch model. The extension of the model to a sixth level was verified in a new study: 312 first-graders took part in a mathematics test based on the six levels (MARKO-D1). In order to check whether the data of both samples adhered to the principle of unidimensionality, the data of MARKO-0 and MARKO-1 were used in a common analysis for comparative purposes. The applicability of these findings for a qualitative diagnostics and an adaptive training will be discussed.
 
Publisher AOSIS
 
Contributor
Date 2013-06-01
 
Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion — —
Format application/pdf
Identifier 10.4102/sajce.v3i1.31
 
Source South African Journal of Childhood Education; Vol 3, No 1 (2013); 30 pages 2223-7682 2223-7674
 
Language eng
 
Relation
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:

https://sajce.co.za/index.php/sajce/article/view/31/3
 
Coverage — — —
Rights Copyright (c) 2013 Annemarie Agnes Fritz-Stratmann https://creativecommons.org/licenses/by/4.0
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