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Equivalence class formation effects on the solution of addition and subtraction problems

Grant number: 11/16925-8
Support type:Scholarships in Brazil - Master
Effective date (Start): April 01, 2012
Effective date (End): December 31, 2012
Field of knowledge:Humanities - Psychology - Experimental Psychology
Principal researcher:João dos Santos Carmo
Grantee:Marcelo Henrique Oliveira Henklain
Home Institution: Centro de Educação e Ciências Humanas (CECH). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil


The objective of this research is to evaluate if the formation of an equivalence class between three different ways of presenting problems (sentence - transformation or comparison - number and balance model), with three possible positions of the unknown, can improve students performance in solving problems of addition and subtraction. Participants who achieve performance improvement, and those who do not achieve, will be exposed to an evaluation of the effect of training of problem solving in the form of balance on participants' performance. It will be conducted the following phases: instruction on the tasks that participants will be exposed; pre-test to evaluate the problem solving skills; preparatory training for solving problems in the form of balance; teaching and testing of conditional discriminations between problems in the form of balance and problems in the form of numbers and word-problems (transformation); post-test I to assess the effects of this procedure; training of problem solving in the form of balance; teaching and test of conditional discrimination problems in the form of balance and problems in the form of word-problems (comparison); post-test II to evaluate the effect of this procedure; and test of generalization to evaluate the effect of what was learned in new problem situations. This research is a contribution in order to follow up on studies that propose and evaluate procedures for improving the performance of solving addition and subtraction operations, whose learning is characterized as fundamental to the development of mathematical skills.

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
MARCELO HENRIQUE OLIVEIRA HENKLAIN; JOAO DOS SANTOS CARMO. Stimulus Equivalence and Increase of Correct Responses in Addition and Subtraction Problems. Paidéia, v. 23, n. 56, p. -, Set. 2013.
MARCELO HENRIQUE OLIVEIRA HENKLAIN; JOÃO DOS SANTOS CARMO. Equivalência de estímulos e redução de dificuldades na solução de problemas de adição e subtração. Psicologia : Teoria e Pesquisa, v. 29, n. 3, p. 341-350, Set. 2013.

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