Abstract
The contents of this chapter are twofold: First, we will provide the reader with a brief overview of current concepts of how early number skills develop and how they may be fostered. While most respective intervention programs focus on the establishment of domain-specific number skills (such as number sense and counting procedures and principles), there is emerging evidence that also domain-general training has the potential to foster the establishment of early number skills. Here, we will present findings from a kindergarten study showing that training spatial skills facilitate the establishment of number sense in typically developing children.
Second, we will present preliminary but highly promising findings regarding the effectiveness of new intervention approaches for the remediation of number fact knowledge (e.g., 3 × 6). Going beyond the well established drill and problem-solving approaches (the first emphasizes learning by repetition, while the latter aims at establishing procedural/conceptual knowledge to compensate for the number fact deficit; e.g., 3 × 6 equals 6 + 6 + 6), we present a new multisensory approach to teach number facts. Our preliminary findings are encouraging and show that associating colors with number magnitudes clearly facilitates the retrieval of multiplication fact knowledge in dyscalculic children.
In the concluding paragraph we will provide an outlook for future research endeavors targeted at developing and evaluating novel intervention methods that aim that aim (i) at fostering early number skills and (ii) at the remediation of arithmetic difficulties (e.g. incorporating embodiment into targeted cognitive intervention).
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- 1.
The term numerosity denotes the number of a set and thus, represents semantic number knowledge (Butterworth 2005).
- 2.
Handl and Kaufmann (2008) reported data from an additional experimental group being subjected to a combined numerical and spatial training. However, due to space limitations only data from the main experimental groups (i.e., those receiving either numerical or spatial training) will be presented here.
- 3.
The two subtests were similarities (indexing children’s verbal intelligence) and block design (indexing non-verbal intelligence). As for the current German-language version of the Wechsler intelligence tests used in this study (HAWIK-IV, Petermann and Petermann 2008) no prorating formula exists that allows to prorate a full intelligence quotient from a limited number of subtests, we chose to report mean scaled scores as an estimate of children’s intellectual abilities.
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Kaufmann, L., Pixner, S. (2012). New Approaches to Teaching Early Number Skills and to Remediate Number Fact Dyscalculia. In: Breznitz, Z., Rubinsten, O., Molfese, V., Molfese, D. (eds) Reading, Writing, Mathematics and the Developing Brain: Listening to Many Voices. Literacy Studies, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4086-0_15
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