The Fontán Relational Education Model

A brief on the Fontán Relational Education model.

It’s 7:30 in the morning and my colleague and I are sitting in heavy traffic. Cars are bundled so closely together that you can reach your hand out of the window to greet the stranger next to you with a handshake. Here, lines on the road are strictly for decoration. This is Bogotá, Colombia and we are on our way to visit a private school called the Fontán School.

Located in the foothills of the Colombian Andes Mountains, the Fontán School was founded by Ventura Fontán and Emilia Garcia, two cognitive psychologists with a vision of solving the educational problems Colombia had been suffering over the last century. In 1957, they created the Fontán Relational Education Model, and it became the foundation for their future research.

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Inspire and GeoGebra [Updated]

One of the great new features in Inspire is the ability to embed HTML code. This affordance allows us to have available a host of new tools in mathematics such as embedding YouTube videos, Twitter widgets and GeoGebra dynamic worksheets. In this tutorial, we will embed a GeoGebra dynamic worksheet.

Update: In order to use this feature, you will need to create a free account on GeoGebra Tube.

You will need two things: GeoGebra 4.4 and Inspire 1.6 and above.

Step 1

On the top menu bar, select the menu option “GeoGebraTube”. Log-in with your credentials.

Open GeoGebra and create a construction. In this tutorial, we will create a triangle showing interior-angle measures and each vertex of the triangle will be draggable (Figure 1).

Triangle constructed in GeoGebra.
Figure 1: Triangle constructed in GeoGebra.

Step 2

Once you have completed your sketch in GeoGebra, select File > Export > Dynamic Worksheet as Webpage (html)… (Figure 2)

Export option under the File menu.
Figure 2: Export option under the File menu.

Step 3

You will be presented with the export window (Figure 3). Under “Title”, type the title of your construction. Optionally, you can also add text above and below your construction as it will appear on GeoGebraTube. Next, click on the button labeled “Upload”. This will upload your construction to GeoGebraTube.

Upload menu to GeoGebraTube.
Figure 3: Upload menu to GeoGebraTube.

Step 4

You will be presented with a webpage describing different elements for your construction. This construction will be uploaded to your GeoGebraTube account as a “worksheet”. As such, GeoGebra has certain elements you can edit like those in Figure 4. If you do not wish to make any changes, click on “Continue” toward the bottom-right of the page.

Upload material to GeoGebraTube initial step.
Figure 4: Upload material to GeoGebraTube initial step.

Step 5

The next page will ask you to add some metadata to your construction worksheet. These elements are required by GeoGebra, so you will need to fill them in (Figure 5).

In order to make your construction work within Inspire, you will need to select either “Public” or “Shared” from the Visibility options. If you choose “Private”, Inspire will not be able to access your construction. Note that if you simply want to upload your construction, but not have it shared publicly among the GeoGebra community, simply select “Shared”; Inspire will still be able to access the construction.

Click the “Save” button toward the bottom-right of the page.

Upload material - required meta-tags.
Figure 5: Upload material – required meta-tags.

Step 6

The final step is to copy the embed code to include in Inspire. To do this, select the “Embed” option (see Figure 6). Select the “Copy to Clipboard” button.

Final step for GeoGebra construction set-up.
Figure 6: Final step for GeoGebra construction set-up.

Step 7

In Inspire, select Insert > Link > Embed HTML… (Figure 7)

Exporting menu in GeoGebra.
Figure 7: Embed menu in Inspire.

Step 8

The Embed HTML window will appear. Simply select Ctrl-V using your keyboard to paste the code you copied in Step 6 (Figure 8).

Embed HTML
Figure 8: Copy embed code in Inspire.

Step 9

Once you click OK, you will see a new widget appear on your flipchart (Figure 9). It will now contain the construction you created in GeoGebra. This widget is similar to embedding a video into your flipchart and therefore you can resize it and move it anywhere on your page.

GeoGebra applet in Inspire
Figure 9: GeoGebra widget on an Inspire flipchart.

Considerations to Note

First, there are a few more steps to accomplishing this task. However, I think it will ultimately be a better way forward. The inclusion of uploading your constructions to GeoGebraTube will serve two purposes: 1) it will freely store your constructions in the cloud, and 2) it will allow you to easily share your constructions with the community (if you choose).

Second, since GeoGebra uses HTML5 as its core code for webpages, only features supported by HTML5 can be exported. For those of you who have no idea what I am talking about, just keep this in mind: intricate constructions, for example, those that may contain sliders or traces may not export correctly because of the limitations of HTML5. Your best bet is to export your construction as HTLM5 and view it in your browser first. If you notice that certain features do not work, then it is likely that they will not work in Inspire.

Also, note that if you are not connected to the Internet, your constructions may not load properly. This is because Inspire relies on features of GeoGebra that are online. So, if you followed the preceding steps and nothing comes up in your flipchart, this might be the reason.