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Wednesday 15 August 2018

Authentic learning

What research says

Authentic or experience learning is based on the idea students may have a better learning experience with documents or situations coming from the "real world", at the least the world outside the school.

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Saturday 11 August 2018

Interest based learning

What research says

Getting the students interested or using their points of interest to improve learning seems to be very obvious and it is a very old idea.

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Tuesday 7 August 2018

Learning in group

What research says

The Russian psychologist Lev Vygostki was the first to elaborate that social interactions are essential to human learning. His work induced a lot of research on collaborative learning.

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Sunday 29 July 2018

Learning by doing

Taking a closer look at the often-cited innovative pedagogical approaches helps revisit the design of the Dynabook concept; expanding it from the constructivism approach to a broader and more diverse way of teaching and learning. The writing of this paper is deeply influenced by the A. Tricot study, Innovation pédagogique, 2017 on what is considered innovative pedagogy.

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Sunday 22 July 2018

The Dynabook and its learning models

Children using the proposed Dynabook (c) Alan Kay On learning-by-doing...

In Alan Kay's Dynabook it is best to learn something kinesthetically, then iconically, and finally the intuitive knowledge will be in place to allow the more powerful but less vivid symbolic processes to work at their strongest(Kay1990).

What said scientific studies on the field of learning by doing and other related pedagogical approaches?

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Wednesday 18 July 2018

The Dynabook Concept

Dynabook concept, A Personal Computer for Children of All Ages.

A Dynabook technical drawing

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Friday 6 July 2018

Dr. Geo and Dynamic Media

A Dynabook mock up Alan Kay coined the term Dynabook, the expressions Dynamic media and Active Essays. How does Dr. Geo connects to the underneath concepts behind these words? This is what we explain in the following paragraphs.

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Wednesday 4 January 2017

Cercle inscrit

Dans un article précédent, nous montrions comment écrire une description textuelle du cercle circonscrit à un triangle. Cette fois-ci nous expliquons comment écrire une description textuelle du cercle inscrit à un triangle Cette description sera toujours en français, et légèrement plus complexe.

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Tuesday 3 January 2017

Mathematics series

My son came to me with a mathematics series, he need to find its convergence. After the mathematics work is done, we want to confirm by calculus the found limit. Dr. Geo can be of some help here.

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Monday 2 January 2017

Model with perpendicular bisector

How to resolve a real world problem with perpendicular bisector?

Mathematics is the tool of the mind to build simplified model of a real world problem situation. Then within its model, the mathematics toolset helps to build solutions. We present in the following paragraphs a very simple example of this process with the use of the Dr. Geo software.


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Saturday 31 December 2016

Cercle circonscrit

Comment écrire une description textuelle du cercle circonscrit à un triangle

Avec le logiciel Dr. Geo, il est possible d'écrire un code source en français décrivant n'importe quelle figure. Ecrire une telle description pour le cercle circonscrit d'un triangle est assez simple et court comme expliqué dans les paragraphes suivants.

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Circumscribed circle

How to write a textual description of a circumscribed circle to a triangle?

With Dr. Geo software, you can write source code describing any sketch. Writing a description of the circumscribed circle to a triangle is pretty simple and short as explained in the following paragraphs.

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Friday 25 March 2016

Construire la trajectoire parabolique d'un objet soumis à la gravité

Lorsque vous lancez un objet, sa trajectoire est une parabole. Comment est-ce que sa vitesse instantanée et ses composantes verticale et horizontale varient-elles au cours de la trajectoire ? Que se passe-t-il lorsque la vitesse initiale est plus grande ? Plus petite ? Que se passerait-il si la gravité était plus importante ? Plus faible ? Nulle ? Négative ? Avec une gravité et une vitesse initiale constantes, comment lancer l'objet pour lui faire atteindre le point le plus loin à l'horizon ? Dans cet article nous présentons un modèle pour explorer ces questions.

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Saturday 12 March 2016

Tiny, yet so beautiful

 How do you introduce an unknown, alternative programming language to other developers ? One way to do so is by showing lots of small examples. That is what we did in Elegant Pharo Code — Beautiful & Powerful One-liners, Expressions and Snippets.

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Thursday 10 March 2016

Fibonacci spiral

The Fibonacci spiral is based on the Fibonacci sequence to construct a curve forming a spiral. This spiral and some variants appear in the constructions of live entities. In this article we present a computed, interactive version of this spiral with the help of Dr. Geo, an interactive geometry and programming application. Later we discuss on the interest of this approach in mathematics secondary teaching.

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Tuesday 23 February 2016

La spirale de Fibonacci

La spirale de Fibonacci s'appuie sur la suite éponyme pour la construction d'une courbe en forme de spirale, cette spirale et ses variantes apparaissent dans des constructions du vivant. Dans cet article nous proposons une construction calculée d'une forme interactive de cette courbe, à l'aide de Dr. Geo, logiciel de géométrie interactive et de programmation. Nous relaterons ensuite les liens à faire avec les programmes d'enseignement secondaire de mathématiques.

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Wednesday 10 February 2016

Drawing the Parabolic Trajectory of an Object under Gravity

Parabolic trajectory under gravity [Thanks to Hilaire for editing and typesetting the article in TeXmacs and provided the pdf version much more pleasant for reading and printing. Traduction française: Construire la trajectoire parabolique d'un objet soumis à la gravité.]

When you throw an object into the air, its trajectory is a parabola. How do its instantaneous velocity and the vertical and horizontal components of the instantaneous velocity change over the course of its trajectory? What happens when the initial speed is larger? Smaller? What happens if the gravity were larger? Smaller? Zero? Negative? Holding gravity and the initial speed constant, in which direction can you throw to make the object reach the farthest point along the horizon? This sketch created using Dr. Geo can help a high school physics teacher explore all these questions with her/his students.

In this article we will show you how to construct this gravity sketch. The reader is assumed to be familiar with the basics of Dr. Geo such as drawing parallel lines and changing the colors/names/styles/... of the points and lines. Note: To avoid a bug, you need to update your Dr. Geo to 16.03 or later. Also, you may want to "save session" so as to make the upgrade permanent.

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Saturday 17 October 2015

Programmation recursive

Aborder la récursivité n'est pas aisé pour les néophytes. Voici une approche pas à pas de la construction du triangle de Sierpinski pour appréhender sa dimension auto-répétée.


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Termes d'une suite

On continue avec les suites ou comment afficher les termes d'une suite qui est chaotique pour certaines valeurs de son paramètre.

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Diagramme de suite récurrente

Vous avez sans doute tous ce souvenir de classe de terminale, des suites récurrentes, avec recherche d'un point fixe d'une fonction. Dr. Geo permet d'explorer ce sujet.

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