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 […]
Requiring little material: two pawns, two L-shaped tokens of different colors, a 4×4 checkerboard, and having very simple rules, the L game is educationally very interesting because it allows the development of the spatial representation of objects. It is a fun application of the concepts of translation, symmetry and rotation. The rules of the L […]
The Hanoi Mystery puzzle game is largely inspired by the famous Tower of Hanoi puzzle. The logic behind the puzzle is the same, but it’s more playful. Principle of the game The game is played by two players. Each game has two rounds. One player is the “coder” and sets up the puzzle; the other […]
Flip-flop pinball, a hybrid of pinball and billiards, is a code-breaking game in which players model the path of the ball and can test their hypotheses. Game rules The game board is a 9×9 grid. A number of bumpers are placed in the squares, subject to a few proximity rules. They are hidden by a […]
Sudoku allows you to practice spatial organization while respecting the constraint of having unique pieces in each row, column, and region. It’s an excellent exercise in observation, concentration, and logic. It also introduces the concepts of rows and columns, and therefore horizontality and verticality. It’s also a great way to memorize numbers. Game rules Sudoku […]
Available in the Logic Puzzles section, the game Admission to the Gorgias Academy combines reading with logic. To solve the riddles, you need to read the statement carefully and, above all, analyze the propositions made and rank them according to the number of liars. The principle The player lives in Greece in 450 BC. He […]
Brave New World It’s about making people happy. Quite uniformly. Here is the starting and ending situation: There’s no difficulty here: a single state is enough. Here’s a video showing a possible solution and how to program it. Our program transforms all sad or angry emoticons into smiling ones, sparing those that are already in […]
Move the apples! Yes, our machine can also transport fruit! Let C={apple, pear, grape, =, blank, X} be a collection. Place several apples, pears, and grapes in a row in the boxes, making sure to mix them together. There should be no white space between the fruits. End the row with the = sign. The […]
Adding sticks Stick arithmetic is probably the easiest to implement with a Turing machine. The collection to use is C={ ☐, |, X, =, +}. We write an addition on the strip with sticks, for example: ||||+||= The result should be of the form: ||||+||=|||||| Start on the = sign or on the stick immediately […]
Learning to count, discovering numbers: the decimal number domino can provide a visual aid to this learning process. This article explains the pedagogical principles behind this tool and suggests a few activities. Warning The teaching guidelines given here are general. Whether you use them with dominoes or not, you can apply them to all other […]
How to use decimal dominoes to learn tens and counting to 100. That’s it, the pupils are counting to 10. They are used to adding and removing tokens one by one. They can count up from a pile of 5 and even create numbers by removing a few tokens, such as obtaining a 9 from […]
The examples presented in this article are for three-domino bars, which use numbers greater than 100, which allows us to understand carryover passages. Of course, we can use fewer dominoes to work on addition. If S is the sum of terms a and b : S <= 10: two unit domino bars are enough (there […]
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