Most of the following GeoGebra materials
were developed as part of a workshop for High School teachers. None had used
GeoGebra before.
GeoGebra is free and can be downloaded at www.geogebra.org . There is a wealth of material available through this website on how to use the software as well as a Wiki that has hundreds of constructions and teaching activities for all grade levels and a variety of mathematical topics.
I have provided just a few of my own here.
· Column 1: A brief name of the topics covered in the PDF handout.
· Column 2: The PDF files have the directions on how to make some constructions in GeoGebra as well as learning activities. These directions are for a beginning user, but I was available for questions to those following the typed instructions. I hope they are clear enough. Also, there are a few cases where following the step-by-step instructions will not result exactly with the resulting construction in the HTML file. The two main reasons for this are:
1. I made these HTML files as presentations, so there may be embellishments (fonts, colors, etc) that are not included directly in the step-by-step instructions, but you will learn how to make these changes in the general information provided.
2. I sometimes made mine work a little nicer using tools/menu items in a way that the class had not been introduced to yet. However, the main parts of the constructions and the necessary tools to make them are all described in detail. As the user becomes more comfortable with the software, he/she will soon be making them work even nicer.
· Column 3: The HTML files are the resulting constructions. The constructions are made in GeoGebra (.ggb files) and were then exported as dynamic HTML, which are the files listed in this column. I have also included some other more advanced constructions that I had fun doing while developing the workshop materials – these do not have instructions. You can use the files as they are in html, or I have generally left all the tool buttons accessible, so you can alter these HTML files with them. The resulting HTML files can be viewed without the GeoGebra software.
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Activity |
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PDF
file |
HTML
File |
Description
of PDF infromation |
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Midpoint Polygons |
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Properties resulting from the polygon formed by connecting the midpoints of the sides of a given polygon. Triangle and Quadrilateral. |
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Construct Quadrilaterals |
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Directions on how to construct common quadrilaterals using GeoGebra. Very detailed instructions utilizing most of the available tools. |
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Transformations |
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The four isometries of the plane. First using coordinates. Identifying isometries without coordinates. Compositions of isometries. Isometries and quadrilaterals. |
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Sliders - Constructions |
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Construction Perpendicular Bisector via Slider Construction Perpendicular Bisector via Navigaton Bar |
Using sliders for slope-intercept, function transformations, inscribed polygons in a circle, constructions with the navigation bar and construction protocol. |
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Inscribed Polygons: This allows the user to