GeoGebra: Geometry and Algebra
This activity belongs to the GeoGebra book GeoGebra Principia.
(we value more what we are capable of building ourselves, hence the success of classic construction games, such as Meccano or Lego). Here, I present one of the constructions that I showcased at the 2007 CIEM meeting [9] where I advocated for the use of this program in education. I have chosen this one because Markus popularized it by featuring it for years at the header of the official GeoGebra website .
SIMPLICITY: CAS Geometry
GeoGebra: Geometry and Algebra Since its inception, GeoGebra has enabled the rapid and straightforward construction of geometric models, enhancing learning, teaching, and research. This ease of use contributes to the IKEA effect (we value more what we are capable of building ourselves, hence the success of classic construction games, such as Meccano or Lego). Here, I present one of the constructions that I showcased at the 2007 CIEM meeting [9] where I advocated for the use of this program in education. I have chosen this one because Markus popularized it by featuring it for years at the header of the official GeoGebra website .Since then, GeoGebra has seen significant development. We can create countless models and applications related to areas such as Arithmetic, Equations, Functions, Isometries, Complex Variables, Statistics, Probability, Games, or even Music .
The variety of procedures is also immense: from slicing a hypercube into sections [15] to automatically proving a proposition [12, 17, 18, 28].
It is evident that what characterizes dynamic geometry is precisely its dynamism. Just like in most animals with a visual system, evolution has triggered a mental alert when any object or entity in our surroundings starts moving. Therefore, motion is a natural and excellent means to focus attention.
However, how can we easily visualize geometric loci without resorting to complex constructions or using cumbersome algebraic equations? We will see that one possible answer is to use the CAS.
Author of the construction of GeoGebra: Rafael Losada.
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The variety of procedures is also immense: from slicing a hypercube into sections [15] to automatically proving a proposition [12, 17, 18, 28].
It is evident that what characterizes dynamic geometry is precisely its dynamism. Just like in most animals with a visual system, evolution has triggered a mental alert when any object or entity in our surroundings starts moving. Therefore, motion is a natural and excellent means to focus attention.
However, how can we easily visualize geometric loci without resorting to complex constructions or using cumbersome algebraic equations? We will see that one possible answer is to use the CAS.
Author of the construction of GeoGebra: Rafael Losada.