Geometric sketchpad is believed to be a common software for many math teachers to make teaching courseware. Its standard and accurate drawing function brings us great convenience in drawing on the computer, and it can also show students some graphic movement processes that can't be presented at ordinary times intuitively, so that they can have a dynamic experience, so as to better understand and master some knowledge points about graphics.
With the development of science and information technology, there are more and more softwares for making related subjects, and their functions are much better than the original ones. Today, I'm going to introduce you to a software, which is a brand-new dynamic teaching software: GeoGebra, which increases the ability to handle variables on the basis of the drawing function of the geometric sketchpad.
Introduction to GeoGebra
GeoGebra is a free and cross-platform dynamic mathematics software, which can be used by all educational levels, including geometry, algebra, tables, graphics, statistics and calculus, and is concentrated in a simple and easy-to-use software. Won several educational software awards in Europe and America.
GeoGebra is abbreviated as CGB. The basic elements of its drawing include points, straight lines, line segments, polygons, vectors, conic curves and functions. These drawing elements can be dynamically changed directly on the screen or by using commands after creation. GeoGebra can complete a lot of drawing work of junior high school mathematics. For example, GeoGebra can directly draw conic curves, calculate derivatives and integrals of functions, and calculate extreme values and inflection points of polynomial functions, which greatly facilitates teachers to make teaching materials.
software function
? It can be used for study, teaching and assessment free of charge.
? Powerful, easy to use and interact.
? Support multiple languages.
? Really observe and experience mathematics and science in an interesting way.
? Can be suitable for various courses or projects.
? It is used by millions of people all over the world.
Comparison of GeoGebra with Geometer's Sketchpad, SuperSketchpad and other softwares
(1) is more convenient in the demonstration of solid geometry and compass curve.
The geometric sketchpad was originally designed for the teaching of plane geometry, so most of its functions are based on ruler drawing, which will certainly help teachers and amateurs to better understand the essence of ruler drawing, but for most teachers who just apply it to practical classroom purposes, it is really a very painful thing to use ruler drawing to realize the demonstration of analytic geometry and even physics and chemistry. In this respect, through the efforts of several plane geometry experts, such as Chen, etc., the demonstration of most ruler drawing problems on the geometric drawing board has been basically realized. The process is extremely complicated, and a lot of advanced geometry knowledge is used. The drawing and even tangent of conic curve in geometric sketchpad has always been a big problem.
Supersketchpad provides the function of allowing users to calculate and draw by copying and pasting mathematical expressions, which makes curve drawing and expression measurement much more convenient. In GeoGebra, users can directly click the button to draw and tangent nonstandard ellipses, which is very simple and convenient.
(2) The geometric sketchpad with the combination of numbers and shapes only has the dynamic change of shapes, which is very unfavorable for revealing the subtle properties of graphics, especially for learning analytic geometry and functions.
GeoGebra, on the other hand, combines algebra with geometry to realize the synchronous change of graphics and algebraic equations, thus realizing the real dynamic demonstration. You can draw a graph directly by directly inputting the conic equation (such as "X2/4+Y2= 1") in the following command input box, or even directly display △ABC by inputting (A+B+C)/3 through vector operation.
(3) It is completely free and easy for secondary development.
We have used a lot of drawing software. In addition to professional large-scale drawing software, small-scale drawing software can not realize dynamic demonstration, or the output effect is poor, it is difficult to upgrade and secondary development, and the fees are expensive, so there are many problems. GeoGebra, as a software based on Java language, is easy to write and develop again.
Part of the information comes from the internet, thanks to the "calm and calm" bloggers of Sina blog for sharing.