Basic additive and multiplicative problems. How to approach them with bar diagrams.
The Actilud site offers a range of configurable exercises for working on basic additive problems. The problems are classified according to Vergnaud’s typology – they are not sorted by the type of operation they involve – addition or subtraction – but by their nature. The same type of problem can therefore be solved by either […]
In this article, I’m going to suggest some ideas for working on the bar model from the Actilud.com website, which, once adapted to your classroom, will save you time and efficiency thanks to digital technology. This article does not aim to explain in detail the educational interest of bar diagrams; there is a whole literature […]
It is important for students to understand that whatever the additive type of statement, it fits into a single model, that of the classic bar model: Whether we have addition or subtraction, it’s the same model that underlies the problem. However, like any model, the classic bar model has its limitations. In particular, it reduces […]
This post deals only with the “classic” multiplicative bar diagram. Since July 2024, multiplication problems have been enriched by a new model, the Cartesian scheme, which is dealt with in another article. The multiplication bar diagram allows you to model multiplication and division problems. On Actilud, you’ll find a variety of exercises involving different types […]
The Cartesian scheme is an alternative to the basic multiplicative scheme. It is much simpler to understand than its analogue, but it is also more limited. Presentation The principle of the Cartesian diagram is based on the calculation of the area of the rectangle: A = L x L Area equals length multiplied by width […]
by