Gelfman E. G., Kholodnaya M. A.

Title of the article Academic Texts as a Medium for Students’ Intellect Development in Teaching Mathematics
Authors Gelfman Emanuila G., Kholodnaya Marina A.
In the section Didactic issues
Year 2014 Issue №8 Pages 67
Type of article   Index UDK   Index BBK  
Abstract

The aim of the publication is to demonstrate the implementation results of the “Mathematics, Psychology, Intellect” (MPI) educational project used for selecting and devising the new textbook content for multipurpose learning activities and students’ intellect development in comprehensive schools.

The methodology, based on the psycho-didactic approach, involves the analysis of the existing experience of textbooks development, including the traditional reference and narrative books, and the ones, organized as a dialogue with a student-reader and oriented toward the facts comprehension and reasoning. In the context of the reader-oriented theory, the author proves the advantages of special developmental materials complying with the enrichment model.

Research results describe mathematical textbooks and learning materials development for secondary schools including students’ books, practicum and workbooks for independent study, and computer software for the 5 to 9th –year students. Secondly, the authors denote the psycho-didactic typology of and requirements for developmental texts.

Scientific novelty is related to the specificity of the given academic texts, conveying the structure of the formal mathematical knowledge on the one hand, and on the other hand - developing the basic components of students’ mental experience (including cognitive, conceptual, metacognitive and intentional ones), and creating the conditions for exercising the individual cognitive styles.

Practical significance results from activating the individual intellectual resources of school leavers, developing their learning ability and readiness for the future innovative professional and personal life.

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Index terms mathematical education, psycho-didactics, students’ intellectual development, academic texts, multipurpose learning activities.
References

1. Gel'fman Je. G., Holodnaja M. A.. Uchebnyj proekt kak sposob monito-ringa intellektual'nyh vozmozhnostej uchashhihsja na urokah matematiki. [Study project as a method of monitoring mental ability of students at math lessons]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta. [Tomsk State Pedagogical University Bulletin]. 2013, № 11 (139). Р. 150–155 (In Russian)

2. Gel'fman Je. G., Holodnaja M. A. Psihodidaktika shkol'nogo uchebnika. Intellektual'noe vospitanie uchashhihsja. [Psycho-didactics of school textbook. Intellectual education of students]. St. Petersburg: Piter, 2006. 118 p. (In Russian)

3. Davydov V. V. Teorija razvivajushhego obuchenija. [Theory of developing training]. Moscow: INTOR, 1996. (In Russian)

4. Dozmorova E. V. Vozmozhnosti razvitija tvorcheskogo myshlenija obuchajushhihsja 5–6‑h klassov na urokah matematiki s pomoshh'ju voprosov. [Possibilities of development of creative thinking among the pupils of the fifth and sixth grades at mathematics lessons]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta. [Tomsk State Pedagogical University Bulletin]. 2008. № 2 (76). Р. 5–8 (In Russian)

5. Enriching learning model in project IIP: problems, thoughts, solutions. Tomsk: Izd‑vo Tomskogo un‑ta, 2002. (In Russian)

6. Panov V. I. Psihodidaktika obrazovatel'nyh sistem: teorija i praktika. [Psy­cho-didactics of educational systems: theory and practice]. St.‑Petersburg: Piter, 2007. 134 p. (In Russian)

7. Penskaja Ju. K. Razvitie u budushhih uchitelej matematiki umenija konstruirovat' uchebnye teksty, napravlennye na intellektual'noe vospitanie uchashhihsja. [Training future mathematics teachers for ability to design educational texts aimed at intellectual education of pupils.]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta. [Tomsk State Pedagogical University Bulletin]. 2011. № 4 (106). Р. 89–92. (In Russian)

8. Prosvirova I. G. Osobennosti motivacii uchebnoj dejatel'nosti u uchashhihsja mladshego podrostkovogo vozrasta. [Special features of the motivation of training activity in the students of the low-order teenage period]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta. [Tomsk State Pedagogical University Bulletin], 2006. № 10 (61). Р. 61–64. (In Russian)

9. Smoljakova D. V. Uchebnye tekst po istorii matematiki kak sredstvo intellektual'nogo vospitanija uchashhihsja osnovnoj shkoly. [Texts on the history of mathematics as an instrument for mental education of basic school pupils]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta. [Tomsk State Pedagogical University Bulletin]. 2006. № 3 (54). Р. 36–39. (In Russian)

10. Holodnaja M. A. Kognitivnye stili: O prirode individual'nogo uma. [Cognitive styles: On the nature of the individual mind]. St. Petersburg: Piter, 2004. 380 p. (In Russian)

11. Holodnaja M. A. Psihologija intellekta: paradoksy issledovanija. [Psychology of intelligence: paradoxes of research]. St. Petersburg: Piter, 2002. 169 p. (In Russian)

12. Biker-Ahsbahs A. Towards the emergence of constructing mathematical meaning. Proceeding of the 28th Conference of the International Group for the Psychology of Mathematics Education. 2004. V. 2. Р. 119–126. (Translated from English)

13. Brousseau G. Theory of didactical situation in mathematics. Dordrecht. Netherlands: Klumer. 1997. (Translated from English)

14. Burke L. A., Williams J. M. Developing Young Thinkers: an intervention aimed to enhance children's thinking skills. Thinking Skills and Creativity. 2008. V. 3. Р. 104–124. (Translated from English)

15. Gelfman E., Demidova L., Kholodnaja M., Lobanenko N., Wolfengaut J. Concept formation process and an individual child's intelligence. Mathematics for tomorrow's young children. Kluwer Academic Publishers, 1996. Р. 151–163. (Translated from English)

16. Gelfman E., Kholodnaya M., Cherkassov R. From Didactics of Mathematics to Psycho-Didactics. International view on didactics of mathematics as a scientific discipline. Proceedings WG25, ICME–8. Univ. of Modena. Italy. 1997. Р. 102–107. (Translated from English)

17. Gelfman E., Kholodnaya M. On Development of Metacognitive Experience of Students. Proceedings European Research Conference on Math Education. Charles University. Czech Republic. 1997. Р. 57–62. (Translated from English)

18. Gelfman E., Kholodnaya M. The role of ways of information coding in students' intellectual development. Inge Schwank (Ed.). European Research in Mathematics Education / Proceedings of the First Conference of the European Society for Research in Mathematics Education. Vol. II. Publishing House: Forschungsinstitut fur Mathematikdidaktik, Osnabrueck. 1999. Р. 38–48. (Translated from English)

19. Hershkowitz R., Schwarz B., Dreyfus T. Abstraction in context: Epistemic actions. Journal for Research in Mathematics Education. 2001. V. 32. Р. 195–222. (Translated from English)

20. Malara N., Navarra G. ArAl Project. Arithmetic pathways towards favouring Pre-algebraic thinking. Pitagora Editrice Bologna, Italy, 2003. (Translated from English)

21. Picker S. H., Berry J. S. Investigating pupils images of mathematicians. Proceedings of the 25th Conference of the International group for the Psychology of Mathematics Education. Utrecht University. Netherlands. 2001. V 4. Р. 49–54 (Translated from English)

22. Simon M. Reconstructing mathematics pedagogy from a constructivist perspective. Journal for Research in Mathematics Education. 1995. V. 26. Р. 114–145. (Translated from English)

23. Simon M., Tzur R. Explicating the role of mathematical tasks in conceptual learning: An elaboration of the Hypothetical Learning Theory. Mathematical Thinking and Learning. 2004. V. 6 (2). P. 91–104. (Translated from English)

24. Weinberg A., Wiesner E. Understanding mathematical textbooks through reader-oriented theory. Educational Studies in Mathematics. 2011. V. 76. P. 49–63. (Translated from English)

 

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