The following is a detailed comparison of the two softwares:
Comparison of basic characteristics between 1.GeoGebra and geometry sketchpad software
The basic characteristics of 1 GeoGebra software. GeoGebra is a dynamic mathematics software which integrates the functions of geometry, algebra and calculus. Support for 56 languages, multi-platform cross-platform use, very powerful. On the one hand, GeoGebra is a dynamic geometric software, which can draw points, line segments, straight lines, vectors, polygons, conic curves and even functions in the drawing area, and at the same time display the parameter equation corresponding to the image in the algebraic area, and change its attributes at any time; On the other hand, you can also directly input the coordinates of points or the parametric equations of line segments, straight lines, polygons and quadrics in the command dialog box, and display the corresponding images in the drawing area. Therefore, GeoGebra has the ability to handle variables (these variables can be numerical values, angles, vectors or point coordinates), and it can also differentiate and integrate functions, find the roots of equations or calculate the maximum and minimum values of functions. Therefore, GeoGebra has the function of dealing with algebra and geometry at the same time, which the geometric drawing board does not have. For example, in the application of statistics, GeoGebra's extremely powerful Chinese commands are beyond the reach of the geometric drawing board. GeoGebra's internal commands are all sinicized, and Chinese characters are used instead of English for mathematics majors, which eliminates the obstacle of mathematics majors not knowing English and reduces the difficulty of learning, while the internal commands of geometry drawing board are still in English. GeoGebra can output lossless web pages and high-definition pictures, and make real 3D graphics, which is unmatched by Geometer's Sketchpad.
GeoGebra is widely used in the United States, Britain, France, Germany, Switzerland, Austria, Spain, Canada, Israel, Ukraine, Turkey and other countries, and takes GeoGebra as an important part of teachers' professional development and training. Therefore, GeoGebra is definitely a rare teaching aid software for the majority of mathematics teachers in China. This software is suitable for mathematics teaching and learning in primary schools, junior high schools, senior high schools and universities.
2. The basic characteristics of geometry sketchpad software. Geometer's Sketchpad software is an excellent educational software produced and published by American Key Curriculum Publishing Company. It is a general teaching environment for mathematics and physics, providing rich and convenient creative functions, and users can write their own teaching courseware at will. The Geometer's Sketchpad provides functions such as point tracking, animation and trajectory, and can track the trajectories of drawn points, straight lines and conic curves. Provide trajectories of various driving modes including single-point driving, multi-point driving and parameter driving; Geometric sketchpad can measure length, distance, angle, area, perimeter, arc length, radian angle, coordinates and so on; Of course, the measurement function also has limitations, such as not measuring the area of arch and the arc length of ellipse, and GeoGebra has done a perfect job in this respect.
Second, the comparative study of GeoGebra and Geometer's Sketchpad
1.GeoGebra is easier to operate than the geometric sketchpad. 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 use it for practical classroom use, 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.
In GeoGebra, users can directly draw non-standard ellipses and do tangent operation by clicking the button, allowing users to use the copied and pasted mathematical expressions to calculate and draw, which makes the linkage between curve drawing and expression much more convenient.
2. Compared with the geometric sketchpad, Geogebra has a more prominent feature of combining numbers and shapes. There are only dynamic changes of shapes in the geometric sketchpad, but there are countless changes, which is a great deficiency in revealing the subtle properties of graphics, especially in the study of analytic geometry and functions. For example, using the geometric sketchpad, you can easily draw the intersection of two figures, parallel lines, vertical lines, bisectors, circles and other figures, and you can also draw the intersection of some figures and the trajectories of points that meet the conditions; However, the current geometric sketchpad can't make the curve equation according to the curve equation, and can't make the intersection of two function images. 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 directly input the conic equation (such as "X3/4+2Y= 1") in the command input box below to draw a picture directly, or even directly display the center of gravity of △ABC by inputting (A+B+C)/3 in the form of vector operation.
3. Compared with the Geometer's Sketchpad, Geogebra is completely free and easy for secondary development. The charging level of software is the biggest obstacle to the popularization and application of educational software. There is no software more suitable for students to learn than GeoGebra, which is one of the reasons why GeoGebra is popular in Europe and America. Geometric sketchpad is charged. GeoGebra, as a software based on Java language, is easy to write and re-develop, so the update speed of GeoGebra is very fast.
4.GeoGebra has strong applicability. Under the guidance of information technology, people's learning style has undergone fundamental changes, and they can learn anytime and anywhere by using fragmented time. GeoGebra also releases mobile versions of Android and Mac OS software with the times, so that students can explore mathematics knowledge anywhere. However, the Geometer's Sketchpad is just a one-button version of computer, which can't run on mobile devices, and there is a generation gap with modern students' learning.
To sum up, the introduction and application of new teaching software can effectively improve the quality of classroom teaching and help students accurately form a deep understanding and cognition of the corresponding teaching content. In the current mathematics teaching, GeoGebra and Geometer's Sketchpad are widely used and are important auxiliary tools for teachers. Both of them have their own advantages in operating characteristics and scope of application, and teachers should study them in combination with the actual needs of specific teaching in the process of application and selection.