Learning support pedagogy for children who struggle to develop the concepts underlying the operations of addition and subtraction of numbers: the ‘Calculia’ programme

South African Journal of Childhood Education

 
 
Field Value
 
Title Learning support pedagogy for children who struggle to develop the concepts underlying the operations of addition and subtraction of numbers: the ‘Calculia’ programme
 
Creator Fritz-Stratmann, Annemarie Ehlert, Antje Klüsener, Gabriele
 
Subject — mathematics remediation, elementary school, foundation phase, conceptual development, remedial programme, Germany, mathematical cognition, pre-service teacher education —
Description This paper argues for teaching pre-service teachers about remediation strategies for learners who encounter problems in mathematics in the early grades. The premise is that all teachers should be equipped with theory-based practical knowledge to support learning. A few teaching sessions to develop the concepts that underlie the mathematical operations of addition and subtraction are introduced in this paper. An empirically validated, comprehensive model of cumulative arithmetic competence development from the ages of four to eight years forms the basis for the construction of the suggested teaching unit. The model distinguishes five competence levels of arithmetical conceptual development, and proposes that concepts build on one another hierarchically. A ‘part plus part is equivalent to whole’ model was constructed based on this hierarchical structure and the understanding that the concept of addition is a dynamic process. The teaching examples include exercises for all children, not only ones who struggle. Possibilities for adapting the exercises to the individual development level of slower or faster learners are also included. All exercises are accompanied by a reflection on the procedure and strategies applied in order to support meaningful and sustainable learning and to give student teachers the opportunity to use knowledge of mathematical cognition theory during their pre-service years.
 
Publisher AOSIS
 
Contributor
Date 2014-12-30
 
Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion — —
Format application/pdf
Identifier 10.4102/sajce.v4i3.232
 
Source South African Journal of Childhood Education; Vol 4, No 3 (2014); 23 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/232/68
 
Coverage — — —
Rights Copyright (c) 2014 Annemarie Fritz-Stratmann, Antje Ehlert, Gabriele Klüsener https://creativecommons.org/licenses/by/4.0
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