Teaching statistics interactively with Geogebra and R

V. Gómez Rubio, M.J. Haro Delicado, F. Parreño Torres

Departamento de MatemáticasCampus de Albacete

Universidad de Castilla-La Mancha

useR! 2013Albacete, 10-12 July 2013

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R software for statistical computing

Geogebra is a free software for dynamic geometryGeogebra is widely used to teach Mathematics at the high school anduniversity levelsWith Geogebra, students can create and manipulate geometricalobjectsWe use R for teaching Statistics in the Degrees of Computer Scienceand Industrial EngineeringHow can we use a more intuitive and dynamic environment toteach Probability and Statistics?

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Geogebra and R

Geogebra 5.0 and the Python WindowFrom version 5.0, Geogebra will be able to run small Python scriptsGemoetric objects can be created and manipulated using small piecesof codeGeogebra uses Jython, a Java implementation in Python

Rserve packageR package to make a server out of RHence, it is possible to send commands to R from another softwareand get the results backFurthermore, Rserve provide an API in JavaTHis API can be easily imported using Geogebra’s PythonWindowAnd it can be included in Geogebra because it is written in JAVA!!

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Geogebra with R and Rserve

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Example 1: Sampling random points in R

#Simulamos 10 puntos al azar en R y los dibujamos en Geogebra#desde la Ventana de Python

import sys;

sys.path.append("/home/virgil/Rservejar/Rserve.jar");sys.path.append("/home/virgil/Rservejar/REngine.jar");

from org.rosuda.REngine.Rserve import RConnection;

R= RConnection();

#Ten random pointsR.eval("set.seed(1); d<-data.frame(x=runif(10), y=runif(10))");

for i in range(1,11):Point(R.eval(’d[%d,1]’%(i)).asDouble(),

R.eval(’d[%d,2]’ % (i)).asDouble());

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Example 1: Sampling random points in R

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Example 2: Control bands

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Example 3: Importing maps into Geogebra

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Example 4: Smoothing using ’lowess’

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Example 5: Point Patterns

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Final remarks

We have shown several examples on how Geogebra can be used toteach StatisticsThis can be used, not only for high school students, but for collegestudentsWe have introduced a powerful link between Geogebra and RHence, R packages can be used from GeogebraHowevere, R cannot access the varialbes in Geogebra (data sheets,GUI, etc.) with this linkWe are working on a connection based on rJava which provides abetter link:

Direct access to Geogebra objectsNew geometric objects can be created from RHandling geometric objects from R

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References

Geogebra developers web site:https://dev.geogebra.org

R software:http://www.r-project.org

Link between Geogebra and R:http://www.uclm.es/profesorado/vgomez/GeogebraR

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