powerpoint final.pptx

8/11/2019 powerpoint final.pptx

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Graphing Graphing Tools and DynamicGeometry Software

Tools and Dynamic GeometrySoftware

bDiscussants

Lilaine E. Canobis,Jodeth Demonteverde,Jonna Lyn Gegantoni,Charlyn Estimera,

Aji Garacho, Aldren Padernilla


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Introduction

Most data is meaningless to most

people unless it is visualized. Stepping

beyond familiar visualizations like bar charts

and pie charts, there are many approaches

to visualizing data, from mapping (e.g.,

color coding a map to show voting patterns)

to visualizing networks (e.g., the linksbetween people).


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WINPLOT

Winplot is a general-purposeplotting utility, which can draw (andanimate) curves and surfaces presented in a variety of formats.


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Winplot can generate both 2D and 3D

plots of functions and sequences. Itcan also "animate" these plots usingup to 23 variables and theircorresponding sliders. At the presentonly one slider may be animated at atime. It also has a variety of exportoptions including EPS, SVG, PiCTeX,

and Metafile, as well as simplecopying to the Windows clipboard.


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Winplot is a graphing program written byRichard Parris, a teacher at Phillips ExeterAcademy in Exeter, New Hampshire. Mr.

Parris generously allows free use anddistribution of the software, and providesfrequent updates. Although the program isfree, it is of top quality and easy to use.


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These instructions expand onthose found in the program's help

menus; they discuss sometechniques of two-dimensionalplotting, useful in an algebra orcalculus class. It is assumed thatthe reader has already installedthe program in Microsoft Windows,and is familiar with the basic

workings of that operating system.(These instructions apply to theAugust 22, 2008, version ofWinplot.)


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A notable strength of Winplot is itsability to plot graphs that are typically

not available on other (especially free)plotting software, such as implicitfunctions, slope fields, and intrinsiccurves (curvature defined by arclength).In addition, several standard calculusoperations can be performed on thefunctions, including generating graphs

of cross-sectional solids and solids ofrevolution, tracing trajectories on slopefields given an initial point, andcalculating line and surface integrals.


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GEOMETERS SKETCHPAD

The Geometer's Sketchpadis a popularcommercialinteractive geometrysoftwareprogram for exploringEuclideangeometry,algebra,calculus, and other areasofmathematics. It was created by Nicholas

Jackiw. It is designed to run onWindows95orWindows NT 4.0or later andMac OS8.6or later (includingMac OS X). It also runsonLinuxunderWinewith a few bugs.

Sketchpad 4 working with triangle trisectors.
http://en.wikipedia.org/wiki/List_of_interactive_geometry_softwarehttp://en.wikipedia.org/wiki/List_of_interactive_geometry_softwarehttp://en.wikipedia.org/wiki/Euclidean_geometryhttp://en.wikipedia.org/wiki/Euclidean_geometryhttp://en.wikipedia.org/wiki/Algebrahttp://en.wikipedia.org/wiki/Calculushttp://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Windows_95http://en.wikipedia.org/wiki/Windows_95http://en.wikipedia.org/wiki/Windows_NT_4.0http://en.wikipedia.org/wiki/Mac_OS_8http://en.wikipedia.org/wiki/Mac_OS_8http://en.wikipedia.org/wiki/Mac_OS_Xhttp://en.wikipedia.org/wiki/Linuxhttp://en.wikipedia.org/wiki/Wine_(software)http://en.wikipedia.org/wiki/Wine_(software)http://en.wikipedia.org/wiki/Linuxhttp://en.wikipedia.org/wiki/Mac_OS_Xhttp://en.wikipedia.org/wiki/Mac_OS_8http://en.wikipedia.org/wiki/Mac_OS_8http://en.wikipedia.org/wiki/Windows_NT_4.0http://en.wikipedia.org/wiki/Windows_95http://en.wikipedia.org/wiki/Windows_95http://en.wikipedia.org/wiki/Mathematicshttp://en.wikipedia.org/wiki/Calculushttp://en.wikipedia.org/wiki/Algebrahttp://en.wikipedia.org/wiki/Euclidean_geometryhttp://en.wikipedia.org/wiki/Euclidean_geometryhttp://en.wikipedia.org/wiki/List_of_interactive_geometry_softwarehttp://en.wikipedia.org/wiki/List_of_interactive_geometry_software


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Geometer's Sketchpad includes the traditional

Euclidean tools of classical geometric constructions;

that is, if a figure (such as the pentadecagon) can beconstructed with compass and straight-edge, it can

also be constructed using this program. However, the

program also allows users to employ transformations

to "cheat," creating figures impossible to constructunder the traditional compass-and-straight-edge

rules (such as the regular nonagon). Objects can also

be animated. The program also allows the

determination of the midpointand midsegments ofobjects.
http://en.wikipedia.org/wiki/Pentadecagonhttp://en.wikipedia.org/wiki/Nonagonhttp://en.wikipedia.org/wiki/Midpointhttp://en.wikipedia.org/wiki/Midpointhttp://en.wikipedia.org/wiki/Nonagonhttp://en.wikipedia.org/wiki/Pentadecagon


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Grape

(Computers),orGRAphicsProgrammingEnvironment is asoftwaredevelopment environmentformathematical visualization, especiallydifferential geometry and continuum

mechanics.In 1994, it won the EuropeanAcademic Software Award.

The termgraphicalrefers to theapplications; the programming itself is mostly

based onC. GRAPE was developed by theUniversity of Bonn in Germany and is availablefor free for non-commercial purposes. It hasnot been developed actively since 1998.
http://en.wikipedia.org/wiki/Softwarehttp://en.wikipedia.org/wiki/Mathematical_visualizationhttp://en.wikipedia.org/wiki/C_(programming_language)http://en.wikipedia.org/wiki/C_(programming_language)http://en.wikipedia.org/wiki/Mathematical_visualizationhttp://en.wikipedia.org/wiki/Software


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Cabri Geometry

Cabri Geometryis a commercialinteractivsoftwareproduced by the French companyteaching and learning geometry and trigon

was designed with ease-of-use in mind. Thallows the user to animate geometric figursignificant advantage over those drawn onblackboard.
http://en.wikipedia.org/wiki/Interactive_geometry_softwarehttp://en.wikipedia.org/wiki/Interactive_geometry_softwarehttp://en.wikipedia.org/wiki/Trigonometryhttp://en.wikipedia.org/wiki/Trigonometryhttp://en.wikipedia.org/wiki/Interactive_geometry_softwarehttp://en.wikipedia.org/wiki/Interactive_geometry_software


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Relationships between points on a

geometric object may easily bedemonstrated, which can be usefulin the learning process. There arealso graphing and display functionswhich allow exploration of theconnections between geometry andalgebra. The program can be run

underWindowsor theMac OS.
http://en.wikipedia.org/wiki/Microsoft_Windowshttp://en.wikipedia.org/wiki/Mac_OShttp://en.wikipedia.org/wiki/Mac_OShttp://en.wikipedia.org/wiki/Microsoft_Windows


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GEOGEBRA

GeoGebrais aninteractivegeometry,algebra, statisticsandcalculusapplication, intended for learning andteaching mathematics and science from

primary school to university level.GeoGebra is available onmultipleplatformswith its desktop applicationsforWindows,Mac OSandLinux, with its

tablet apps forAndroid,iPadandWindows,and with itsweb applicationbasedonHTML5technology.
http://en.wikipedia.org/wiki/Interactive_geometry_softwarehttp://en.wikipedia.org/wiki/Interactive_geometry_softwarehttp://en.wikipedia.org/wiki/Algebrahttp://en.wikipedia.org/wiki/Statisticshttp://en.wikipedia.org/wiki/Calculushttp://en.wikipedia.org/wiki/Cross-platformhttp://en.wikipedia.org/wiki/Cross-platformhttp://en.wikipedia.org/wiki/Windowshttp://en.wikipedia.org/wiki/Mac_OShttp://en.wikipedia.org/wiki/Linuxhttp://en.wikipedia.org/wiki/Android_(operating_system)http://en.wikipedia.org/wiki/IPadhttp://en.wikipedia.org/wiki/Windows_Storehttp://en.wikipedia.org/wiki/Web_applicationhttp://en.wikipedia.org/wiki/HTML5http://en.wikipedia.org/wiki/HTML5http://en.wikipedia.org/wiki/Web_applicationhttp://en.wikipedia.org/wiki/Web_applicationhttp://en.wikipedia.org/wiki/Windows_Storehttp://en.wikipedia.org/wiki/IPadhttp://en.wikipedia.org/wiki/Android_(operating_system)http://en.wikipedia.org/wiki/Linuxhttp://en.wikipedia.org/wiki/Mac_OShttp://en.wikipedia.org/wiki/Windowshttp://en.wikipedia.org/wiki/Cross-platformhttp://en.wikipedia.org/wiki/Cross-platformhttp://en.wikipedia.org/wiki/Calculushttp://en.wikipedia.org/wiki/Statisticshttp://en.wikipedia.org/wiki/Algebrahttp://en.wikipedia.org/wiki/Interactive_geometry_softwarehttp://en.wikipedia.org/wiki/Interactive_geometry_software


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Its creator, Markus

Hohenwarter,started the project in2001 at the University of Salzburg,continuing it atFlorida Atlantic

University(2006

2008),Florida StateUniversity(20082009), and now at

theUniversity of Linztogether withthe help of open-source developers

and translators all over the world.
http://en.wikipedia.org/wiki/University_of_Salzburghttp://en.wikipedia.org/wiki/Florida_Atlantic_Universityhttp://en.wikipedia.org/wiki/Florida_Atlantic_Universityhttp://en.wikipedia.org/wiki/Florida_State_Universityhttp://en.wikipedia.org/wiki/Florida_State_Universityhttp://en.wikipedia.org/wiki/University_of_Linzhttp://en.wikipedia.org/wiki/University_of_Linzhttp://en.wikipedia.org/wiki/Florida_State_Universityhttp://en.wikipedia.org/wiki/Florida_State_Universityhttp://en.wikipedia.org/wiki/Florida_Atlantic_Universityhttp://en.wikipedia.org/wiki/Florida_Atlantic_Universityhttp://en.wikipedia.org/wiki/University_of_Salzburg


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After a successful Kickstartercampaign, GeoGebra expandedtheir offerings to include aniPad,anAndroidand aWindows Store

appversion.
http://en.wikipedia.org/wiki/Kickstarterhttp://en.wikipedia.org/wiki/IPadhttp://en.wikipedia.org/wiki/Android_(operating_system)http://en.wikipedia.org/wiki/Windows_Storehttp://en.wikipedia.org/wiki/Windows_Storehttp://en.wikipedia.org/wiki/Windows_Storehttp://en.wikipedia.org/wiki/Windows_Storehttp://en.wikipedia.org/wiki/Android_(operating_system)http://en.wikipedia.org/wiki/IPadhttp://en.wikipedia.org/wiki/Kickstarter


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Constructions can be made with points,vectors, segments, lines, polygons,conic sections, inequalities, implicitpolynomials and functions. All of them

can be changed dynamically afterwards.Elements can be entered and modifieddirectly via mouse and touch, orthrough the Input Bar.


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GeoGebra has the ability to use

variables for numbers, vectors andpoints, find derivatives andintegrals of functions and has afull complement of commands likeRoot or Extremum. Teachers andstudents can use GeoGebra tomake conjectures and to

understand how to provegeometric theorems.


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GeoGebra has the ability to use

variables for numbers, vectors andpoints, find derivatives andintegrals offunctions and has a fullcomplement of commands like Rootor Extremum. Teachers andstudents can use GeoGebra tomake conjectures and to

understand how to provegeometric theorems.

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