teaching beyond showing

chris cambré, Jul 26, 2017

When teaching math to weaker students I had to rely on my creativity, using brooms or teddybears to explain mathematical concepts. Since text books are static they had difficulties with things as "when x approaches to infinity. Since in a textbook nothing moves I took a toy car to ride on graphs on the blackboard. Anything can help when it comes to teaching and lerning. GeoGebra is a great showing tool. But learning is an activity by students. GeoGebra has become so powerful that a teacher can be tempted to make beautiful stuff so full of features... that thinking and learning by students is prevented. Starting from my own teaching experience I focus on some topics where GeoGebra can make a difference in both directions.

Table of Contents

  1. GeoGebra in the classroom and at home
    1. take some brooms
    2. the chain rule and a teddybear
    3. A nice, well ordered board!
    4. Dealing with errors
    5. teaching, learning, studying
    6. conditions of properties
    7. central and and circumferential ngle
    8. Controling a construction or not?
    9. the logic of a construction
    10. a wide range of exercises
  2. alternate interoir angles
    1. alternate interior angles
    2. Alternate Interior Angles Theorem (V1)
    3. alternate interior angles
    4. alternate interior angles

1.

GeoGebra in the classroom and at home

  • 1. take some brooms
  • 2. the chain rule and a teddybear
  • 3. A nice, well ordered board!
  • 4. Dealing with errors
  • 5. teaching, learning, studying
  • 6. conditions of properties
  • 7. central and and circumferential ngle
  • 8. Controling a construction or not?
  • 9. the logic of a construction
  • 10. a wide range of exercises

1.1.

take some brooms

equivalence principles
How to start with solving sets of equations? What are equivalence principles?[br]Brooms can solve the problem... [br]Because isn't the crossing of two brooms a different thing than the solution of a set of equations? And if I hold a third broom so that it goes through the same point I might is well remove one of the first two. [br][list][*]Why should I take a third broom?[/*][*]How shoulf I hold it to define more easily the crossing point?[/*][/list]
Or years later, in a GeoGebra-applet
– chris cambré

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1.10.

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2.

alternate interoir angles

How are anternate interoir angles related? How can you illustrate this property? What kind of activity is possible for students? How adapt an existing file? I worked on a file by Tim Brzezinski to try out some possibilities of GeoGebra.

  • 1. alternate interior angles
  • 2. Alternate Interior Angles Theorem (V1)
  • 3. alternate interior angles
  • 4. alternate interior angles

2.1.

alternate interior angles

Alternate interior angles are equal.[br]This file is useful as reference in a serie of applets to illustrate properties.[br]The learning activity is poor, everything is shown immediately on the screen.
– chris cambré

2.2.

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