Teaching statistics interactively with Geogebra and R V. Gmez Rubio, - PowerPoint PPT Presentation

Teaching statistics interactively with Geogebra and R V. Gómez Rubio, M.J. Haro Delicado, F. Parreño Torres Departamento de Matemáticas Campus de Albacete Universidad de Castilla-La Mancha useR! 2013 Albacete, 10-12 July 2013 V. Gómez Rubio et al. (UCLM) Geogebra and R 1 / 12

R software for statistical computing Geogebra is a free software for dynamic geometry Geogebra is widely used to teach Mathematics at the high school and university levels With Geogebra, students can create and manipulate geometrical objects We use R for teaching Statistics in the Degrees of Computer Science and Industrial Engineering How can we use a more intuitive and dynamic environment to teach Probability and Statistics? V. Gómez Rubio et al. (UCLM) Geogebra and R 2 / 12

Geogebra and R Geogebra 5.0 and the Python Window From version 5.0, Geogebra will be able to run small Python scripts Gemoetric objects can be created and manipulated using small pieces of code Geogebra uses Jython, a Java implementation in Python Rserve package R package to make a server out of R Hence, it is possible to send commands to R from another software and get the results back Furthermore, Rserve provide an API in Java THis API can be easily imported using Geogebra’s Python Window And it can be included in Geogebra because it is written in JAVA!! V. Gómez Rubio et al. (UCLM) Geogebra and R 3 / 12

Geogebra with R and Rserve V. Gómez Rubio et al. (UCLM) Geogebra and R 4 / 12

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 points R.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() ); V. Gómez Rubio et al. (UCLM) Geogebra and R 5 / 12

Example 1: Sampling random points in R V. Gómez Rubio et al. (UCLM) Geogebra and R 6 / 12

Example 2: Control bands V. Gómez Rubio et al. (UCLM) Geogebra and R 7 / 12

Example 3: Importing maps into Geogebra V. Gómez Rubio et al. (UCLM) Geogebra and R 8 / 12

Example 4: Smoothing using ’lowess’ V. Gómez Rubio et al. (UCLM) Geogebra and R 9 / 12

Example 5: Point Patterns V. Gómez Rubio et al. (UCLM) Geogebra and R 10 / 12

Final remarks We have shown several examples on how Geogebra can be used to teach Statistics This can be used, not only for high school students, but for college students We have introduced a powerful link between Geogebra and R Hence, R packages can be used from Geogebra Howevere, R cannot access the varialbes in Geogebra (data sheets, GUI, etc.) with this link We are working on a connection based on rJava which provides a better link: Direct access to Geogebra objects New geometric objects can be created from R Handling geometric objects from R V. Gómez Rubio et al. (UCLM) Geogebra and R 11 / 12

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 V. Gómez Rubio et al. (UCLM) Geogebra and R 12 / 12