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* Corresponding author 1 Research and Advanced Studies Centre

Abstract : Functional reasoning is a key strand of early algebrai-zation. This paper presents a cross-sectional study that analysed functional thinking in a sample of 94 elementary school students. Aspects such as following and identifying covariation rules showed dramatic differences between Grade 2, Grade 4, and Grade 6, whereas increases in the abilities to command verbal and symbolic representations were much smaller. After controlling for the influence of nonverbal reasoning, overall functional reasoning was found to be strongly associated with calculation skills, but not with skills such as counting, the understanding of numerals, and arithmetic problem solving. These results are discussed in terms of the nature of functional reasoning and its relationships to the arithmetical skills learnt during elementary education.

Keywords : Functional thinking early algebra arithmetic quantitative methods

Author: Ulises Xolocotzin - Teresa Rojano -



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