METHODOLOGICAL ASPECTS OF TEACHING MATHEMATICS TO INCAPABLE STUDENTS
DOI: 10.23951/2307-6127-2020-1-37-45
Differences in the mathematical abilities of different students are manifested in the fact that the same practice and exercises for students with different abilities give different results. For a capable student, these exercises lead to the mastery of mathematical knowledge and skills, for an incapable student do not. The reason for the inability to mathematics is the lack of working memory. There are two main approaches to solve the problem of teaching mathematics to incapable students: (1) training working memory and (2) reducing the load on working memory in the educational process. The results of the first approach are ambiguous: training working memory leads to an improvement in the performance of untrained tests for working memory, but it may not lead to noticeable changes in learning indicators associated with the working memory of the student. Accordingly, it remains to reduce the load on working memory in the educational process. Well known methods that reduce the load on working memory when studying mathematics are described. Automation of basic computing skills (arithmetic, trigonometric, geometric) is achieved with the help of computer trainers developed by the author: the mental calculations trainer, the trainer for developing skills in working with a trigonometric circle, the trainer for developing skills of using reduction formulas and the rectangular triangle solving trainer. The technique of working with trainers is based on the interval repetition method. Empirical data on the results of their implementation are presented.
Keywords: mathematical abilities, teaching mathematics, working memory, computer trainer, interval repetition
References:
1. Krutetskiy V. A. Psikhologiya matematicheskikh sposobnostey shkol’nikov. Pod red. N. I. Chuprikovoy [Psychology of mathematical abilities of schoolchildren. Ed. N.I. Chuprikova]. Moscow, Institute of Practical Psychology Publ.; Voronezh, MODEK Publ., 1998. 416 p. (in Russian).
2. Baddeley A. Working memory: Looking back and looking forward. Nature Reviews, 2003, vol. 4, pp. 829–839. DOI: 10.1038/nrn1201
3. Alloway T. P., Passolunghi M. C. The relationship between working memory, IQ and mathematical skills in children. Learning and Individual Differences, 2011, vol. 21 (1), pp. 133–137. DOI: 10.1016/j.lindif.2010.09.013
4. Alloway T. P. How does working memory work in the classroom? Educational Research and Reviews, 2006, no. 1 (4), pp. 134–139.
5. Berg D. H. Working memory and arithmetic calculation in children: The contributory roles of processing speed, shortterm memory, and reading. Journal of Experimental Child Psychology, 2008, vol. 99 (4), pp. 288–308. DOI: 10.1016/j.jecp.2007.12.002
6. Andersson U. The contribution of working memory to children’s mathematical word problem solving. Applied Cognitive Psychology, 2007, vol. 21, pp. 1201–1216. DOI: 10.1002/acp.1317.
7. Milton J. Dehn. Working Memory and Academic Learning: Assessment and Intervention. Wiley & Sons, 2008. 386 p.
8. Jaeggi S. M., Buschkuehl M., Jonides J., Perrig W. J. Improving fl uid intelligence with training on working memory. PNAS, 2008, vol. 105, no. 19, pp. 6829–6833. DOI: 10.1073/pnas.0801268105.
9. Dunning D. L., Holmes J., & Gathercole S. E. Does working memory training lead to generalized improvements in children with low working memory? A randomized controlled trial. Developmental Science, 2013, vol. 16 (6), pp. 915–925. DOI: 10.1111/desc.12068
10. Sánchez-Pérez N., Castillo A., López-López J. A., Pina V., Puga J. L., Campoy G., González-Salinas C., Fuentes L. J. Computer-Based Training in Math and Working Memory Improves Cognitive Skills and Academic Achievement in Primary School Children: Behavioral Results. Frontiers in Psychology, 2018, Jan 9, vol. 8, no. 2327. Doi: 10.3389/fpsyg.2017.02327
11. Gathercole S. E., Alloway T. P. Working Memory and Learning: A Practical Guide for Teachers. SAGE Publications, 2008. 128 p.
12. Watson A. C. Learning Begins: The Science of Working Memory and Attention for the Classroom Teacher (A Teacher’s Guide to the Learning Brain). Rowman & Littlefi eld, 2017. 174 p.
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Issue: 1, 2020
Series of issue: Issue 1
Rubric: GENERAL AND ADDITIONAL EDUCATION
Pages: 37 — 45
Downloads: 523