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The Open Algorithm Based on Numbers (ABN) Method: An Effective Instructional Approach to Domain-Specific Precursors
Gamal Cerda1, Estíbaliz Aragón2, Carlos Pérez3
1Facultad de Educación, Universidad de Concepción, Concepción, Chile.
Frontiers in Psychology
|October 16, 2018
Summary
The Open Algorithm Based on Numbers (ABN) method significantly improves mathematical reasoning in young Spanish students compared to the traditional Closed Algorithms Based on Ciphers (CBC) approach. This suggests ABN
Area of Science:
- * Educational Psychology
- * Cognitive Development
- * Mathematics Education
Background:
- * Formal and informal mathematical reasoning are crucial for academic success.
- * Traditional Closed Algorithms Based on Ciphers (CBC) is the prevalent method in Spanish schools.
- * The Open Algorithm Based on Numbers (ABN) method offers an alternative approach.
Purpose of the Study:
- * To compare the effectiveness of ABN and CBC instructional methods on mathematical reasoning in young children.
- * To investigate the impact of domain-specific skills instruction on arithmetic performance.
- * To analyze the educational implications of differing instructional approaches.
Main Methods:
- * Comparative study involving two groups of Spanish students aged four and five.
- * Intervention group (n=147) received ABN method instruction.
- * Control group (n=82) received CBC method instruction.
- * Mathematical reasoning assessed using TEMA-3 and number-line estimation tasks.
- * Groups were matched for receptive vocabulary, processing speed, and working memory.
Main Results:
- * Students in the ABN group demonstrated superior performance in mathematical reasoning compared to the CBC group for both age levels.
- * Statistically significant differences favoring ABN were observed in 9 out of 10 TEMA-3 dimensions (p < 0.01).
- * The 5-year-old ABN group showed significant improvements in number-line estimation, while the 4-year-old group excelled in informal calculation and concepts.
Conclusions:
- * The ABN method is more effective than CBC in fostering mathematical reasoning skills in early childhood.
- * Targeted instruction in number-sense predictors significantly enhances arithmetic performance.
- * Educational strategies should consider incorporating ABN principles to improve early math education outcomes.
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