ERIC Number: EJ1090385
Record Type: Journal
Publication Date: 2013
Abstractor: As Provided
Reference Count: 24
The Introduction of Real Numbers in Secondary Education: An Institutional Analysis of Textbooks
González-Martín, Alejandro S.; Giraldo, Victor; Souto, Alexandre M.
Research in Mathematics Education, v15 n3 p230-248 2013
In this paper we analyse the introduction of irrational and real numbers in secondary textbooks, and specifically the propositions on how these should be taught, in a sample of Brazilian textbooks used in state schools and approved by the Ministry of Education. The analyses discussed in this paper follow an institutional perspective (using Chevallard's Anthropological Theory of Didactics). Our results indicate that the notion of irrational number is generally introduced on the basis of the decimal representation of numbers, and that the mathematical need for the construction of the field of real numbers remains unclear in the textbooks. It seems that textbooks used in secondary teaching institutions develop mathematical organisations which focus on the "practical" block.
Descriptors: Textbooks, Secondary Education, Numbers, Foreign Countries, Arithmetic, Mathematics, Mathematics Instruction, Mathematics Education
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Authoring Institution: N/A
Identifiers - Location: Brazil