BEST GRAPHING SOFTWARE FOR THE CLASSROOM
Tori Rynders WHAT IS MAPLE?
• Math software and programming language
• It performs a variety of different operations from any branch of mathematics
• One single document HISTORY OF MAPLE
• Created in November 1980 by a group of researchers at the University of Waterloo who were looking into purchasing a super computer
• Maple 1.0 was first shown at conferences in 1982
• Public release in March 1985
• Total of 57 versions HOW TO USE MAPLE
1. Create new worksheet
2. Begin Working HOW TO GRAPH 3D OBJECTS: PLOT3D
• plot3d(equations, parameters)
• Example: • plot3d(sin(x)cos(y),x=-3..3,y=-3..3) HOW TO GRAPH 3D OBJECTS: PLOT TOOLS
• Example: • with(plottools): • T:=polygon([[0, 0], [2, 1], [3, 1], [4, 1]]) • display(prism(T)) MULTIPLE SHAPES ON ONE GRAPH
• Add a comma and second equation inside the brackets
• Change color to see clearer
• Example: • plot3d([cos(x)-2*cos(.4*x), sin(x)], x = -10 .. 10, shading = [DEFAULT, ZGRAYSCALE]) WHAT IS GEOGEBRA?
• Online mathematics software
• Intended for geometry, algebra, statistics, and calculus applications
• Designed with a calculator, graph, and workspace on screen HISTORY OF GEOGEBRA
• Created by Markus Hohenwarter in 2002
• Received several awards and was translated into 25 languages
• In 2006, became free to the public in the United States
• Development continues.. HOW TO USE GEOGEBRA
• Go to geogebra.org
• Login/Sign up
• Click “3D Calculator” HOW TO GRAPH 3D OBJECTS: EQUATIONS
• Type the equation into the workspace
• Example: �! + �! + �! = 3 HOW TO GRAPH 3D OBJECTS: TOOLS
• Click the “Tools” button • Select Specific tools HOW TO GRAPH 3D OBJECTS: TOOLS
• Example: Sphere
• Select “Sphere: Center & Point” in the tools menu
• Pick center point
• Drag mouse to determine radius MULTIPLE SHAPES ON ONE GRAPH
• In the workspace to the left, type a new equation in a separate input space
• Coexist in the same plane WHAT IS SAGEMATH?
• “System for Algebra and Geometry Experimentation”
• Online open-source computer algebra system
• Designed with a notebook as the user interface HISTORY OF SAGEMATH
• Developed by William Stein to combine many software packages into a common place
• First version released in February 2005
• Releases new updates every few weeks or months HOW TO GRAPH 3D OBJECTS
• Go to sagemath.org
• Select “CoCalc (SageMathCloud)”
• Create account/sign in
• Select “Create New Project” and give it a title HOW TO GRAPH 3D OBJECTS
• Select ”Create/Upload Files”
• Select “Sage Worksheet” to create new worksheet HOW TO GRAPH 3D OBJECTS
• Select the drop down menu, “Plots”
• Select “Function”
• Write in the function you want
• Hit “Run” HOW TO GRAPH 3D OBJECTS
• Example: • %var x y • plot3d(x * sin(y), (x, -5, 5), (y, -5, 5)) DISADVANTAGES
• Maple • SageMath • Expensive • Students will need to know • Need a harddrive to save Python work
ADVANTAGES
• Geogebra • Free • Saves to the cloud • Easy to learn