Abstract
Investigations of the actual reading process and of the structure of a mathematical text are important for elaborating didactical methods for teaching reading a mathematical text. The article reports on a broader project concerning the structure of a mathematical text. The structure of several hundred texts has been analyzed. Academic textbooks and mathematical monographs (especially in Polish) written by mathematicians have been used as a source. Characteristic features of proof construction, that may influence the course of the reading process, have been isolated. For instance, transmission means have been investigated such as text segmentation which uses delimiters and so called procedure schemes.
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References
Konior, J.: 1983,Analysis of the Construction of Proof Text in Mathematics (in Polish: “Analiza konstrukcji tekstu dowodu jako środka przekazu w matematyce”), Uniwersytet Śląski, Katowice.
Krygowska, Z.: 1969, ‘Le texte mathématique dans l'enseignement’,Educational Studies in Mathematics 2/3, 360–370.
Kuratowski, K.: 1977,Introduction to Set Theory and Topology, PWN, Polish Scientific Publishers, Warszawa, pp. 79–81.
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Konior, J. Research into the construction of mathematical texts. Educ Stud Math 24, 251–256 (1993). https://doi.org/10.1007/BF01275425
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DOI: https://doi.org/10.1007/BF01275425