Mathematical ideas dynamised:
Creating animation in GeoGebra with geometric transformations

- October 30th, 2024  -

Department of Mathematics

University of Bari Aldo Moro, Italy 🇮🇹

Sergio Rubio-Pizzorno | 🇲🇽🇨🇱

Phd student (last year) in Science with specialization in Mathematics Education

GeoGebra Ambassador

Center for Research and Advanced Studies (Cinvestav) - México 🇲🇽

Department of Mathematics Education

Seminar

Créditos












Taller "Herramientas GeoGebra para la Educación en línea" por Sergio Rubio-Pizzorno se distribuye bajo una Licencia Creative Commons Atribución-NoComercial 4.0 Internacional.
Basada en una obra en https://slides.com/zergiorubio/2020-taller-11eical .

BY

NC

What is the important idea?

Translation

  1. Open GeoGebra.

  2. Change the view to Geometry.

  3. Create a quadrilateral.

  4. Create an arbitrary vector.

  5. Translate the quadrilateral by the vector.

  6. ⚠️Do not close the windows⚠️

Rotation

  1. Open (a new window of) GeoGebra.

  2. Change the view
    to Geometry
    .

  3. Create a quadrilateral.

  4. Create a point outside the quadrilateral.

  5. Rotate the quadrilateral around the point by an angle of 180° (counter clockwise).

  6. ⚠️Do not close the windows⚠️

Static transformation

Static Dynamic transformation

  1. Go to the Translation  GeoGebra file.

  2. Create a slider:

    1. Name: animate

    2. Number.

    3. Interval: 0 to 1.

    4. Increment: 0.1

  3. Show the Input Bar.

  4. Animate the translation:
    Translate [q1,u*animate]

  5. Change the value of the slider.

  1. Go to the Rotation  GeoGebra file.

  2. Create a slider:

    1. Name: animate

    2. Angle.

    3. Interval: 0° to 180°.

    4. Increment: 1°

  3. Show the Input Bar.

  4. Animate the rotation:
    Rotate [q1,animate,E]

  5. Change the value of the slider.

Basic animation

Basic Concatenated animation

  1. Go to the Translation  GeoGebra file.

  2. Modify the animate slider:

    1. Interval: 0 to 2.

  3. Create a second vector.

  4. Animate the second part of the animation:
    Translate(q1', v * If(0 ≤ animate < 1,0,If(1 ≤ animate < 2, animate - 1)))

  5. Change the value of the slider*.

  6. Create the SFX 📽️:

    1. Redo the first part on the animation.
    2. Modify the visibility of the objects.
  1. Open (a new window of) GeoGebra.

  2. Change the view
    to Geometry
    .

  3. Create a right triangle.

  4. Create the squares on their sides.

  5. Do the dissection.

  6. ⚠️Do not close the windows⚠️
  1. Create a single polygon for each dissection.

  2. Trace the necessary vector.

  3. Modify the animate slider:

    1. Interval: 0 to 5.5

  4. Animate each dissection in a concatenated way.

Grazie mille!

Sergio Rubio-Pizzorno🇲🇽🇨🇱 

Mathematical ideas dynamised: Creating animation in GeoGebra with geometric transformations

By Sergio Rubio-Pizzorno

Mathematical ideas dynamised: Creating animation in GeoGebra with geometric transformations

[October 2nd 2024] GeoGebra tools to study Algebra. By Sergio Rubio-Pizzorno for the course NAME of the Prof. PhD Eleonora Faggiano, from the Department of Mathematics at the University of Bari Aldo Moro, (Bari, Italy🇮🇹).

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