The geometrical dilemma

Ionasc Daniela
Age range: 
10-12
Language: 
English
Level of difficulty: 
Easy
Level of interaction: 
Low
Average learning time: 
1 didactic hour
Access rights: 
Creative Commons Attribution (CC BY)
Description: 

We aim to find out where the error lies in placing geometry elements.

Two figures are composed of the same polygons but in another order.

Currently there are no screenshots uploaded, please visit the web link of the lab for more information!

Inquiry Learning Phases: 
Introduction (Orientation)
Orientation (Conceptualisation)
Apps in use: 

The Concept Mapper tool lets learners create concept maps, to get an overview of the key concepts and their relations in a scientific domain. They can define their own concepts and relations or choose from a list of predefined terms.

As a...Read more

Category: 
Go-Lab inquiry apps
App type: 
OpenSocial gadget

The Hypothesis Tool helps learners formulate hypotheses. Predefined domain terms can be combined to form a hypothesis, using drag and drop. Learners can also add their own terms using the Type your own box. As a teacher you can change the...Read more

Category: 
Go-Lab inquiry apps
App type: 
OpenSocial gadget
Conceptualisation ()
Investigation (Investigation)
Indication (Conclusion)
Discussion (Discussion)
Dashboard ()
Apps in use: 

This app displays the number of actions of the students in an ILS per app as a bar chart. Students can adapt the visualisation by filtering for apps and by altering the representation.Read more

Category: 
Go-Lab inquiry apps, Learning analytics apps
App type: 
OpenSocial gadget

This app shows for every phase in an inquiry space which users are currently active in that phase. Users are shown with their profile picture or the first letter of their name. The visualisation is updated in real time.Read more

Category: 
Go-Lab inquiry apps, Learning analytics apps
App type: 
OpenSocial gadget

This app displays a table with the time spent for each student in each phase of an Inquiry Learning Space (a Go-lab learning environment). The time spent is updated in real time for each user and phase.Read more

Category: 
Go-Lab inquiry apps, Learning analytics apps
App type: 
OpenSocial gadget
Scenario: 

Analysis of a Conflict Situation, with the help of the areas of elementary geometric figures studied, due to an optical illusion.

The two analyzed figures are composed of the same geometric elements, placed in another order.

 

http://www.geogebra.org/m/EMTakPst

Cognitive objectives: types of knowledge: 
Factual: Knowledge of basic elements, e.g. terminology, symbols, specific details, etc
Conceptual: Knowledge of interrelationships among the basic elements within a larger structure,
e.g. classifications, principles, theories, etc
Procedural: Knowledge on how-to-do, methods, techniques, subject-specific skills and algorithms, etc
Processes: 
To understand: To help the learner organize and arrange information mentally
Organisational requirements: 

You have several ways to detect the apparent error in studying the two figures.

Students' prior knowledge: 
Minimum area knowledge is required for triangular and square triangles.
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