In the article I have presented a proposal to amend the existing methodology of teaching to solve additive compare word problems by introducing a curriculum based on the constructivist approach.When the sets are not equal and one set has more elements than the other, a surplus of is visible and one can ask a natural question: How many more?The results of the constructivist introduction to teaching additive compare problems proved to be optimistic. Almost all pupils succeeded in simple situations,...
Zadania tekstowe na porównywanie różnicowe i ilorazowe są specyficznie trudne.Źródła tych trudności mogą tkwić inherentnie w naturze zadań, a takżewynikać z niewłaściwych metod nauczania.W pracy doktorskiej zaprezentowałam propozycję zmiany dotychczasowychmetod nauczania porównywania różnicowego i ilorazowego – poprzezwprowadzenie nauczania opartego na podejściu konstruktywistycznym. Zmianata polega na tym, że na początku nauki szkolnej wprowadza się dzieciw zagadnienia dotyczące porównywania różnicowego...
The paper is a report on the solutions of one-step additive and multiplicative compare problems, which were part of a larger test written in 2007 by 70 thousand 10-year-olds at the beginning of grade IV. A sample of 788 responses was analysed in detail and various types of students' difficulties were identified (the difficulty depended not only on the structure of the problem but also on many other factors).Tasks in which additive problems alternated multiplicative ones caused serious troubles;...
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