Another Sofware: GEOGEBRA

   In my previous post, I have mentioned about Geometer’s Sketchpad. Now, I want to introduce GeoGebra for you. GeoGebra is a free dynamic software which can be used to learn and teach mathematics and geometry. Its name arises from geometry and algebra. Although there are a lot of similarities between Geometer’s Sketchpad and GeoGebra, when we compare them, GeoGebra has more complex structure. In addition, you can open a GeoGebra account yourself, share their constructions in there, and follow other users who you like their sharing.

   GeoGebra has different types which are GeoGebra Graph-Calculator, GeoGebra Geometry, GeoGebra 3D Graph, and Mathematics Applications. You can use one of them according to your aim.

   GeoGebra has been rapidly having popularity among teachers and researchers around the world, because it is easy-to-use dynamic mathematics software that combines many aspects of different mathematical packages. GeoGebra encourages students to make projects in mathematics and geometry since students can personalize their work in this software. For example, they can change the colors, font size, line style according to their preferences, they can make some constructions by different ways; there is no limitation in how they construct.

   You can design a game relevant to your topic by using GeoGebra. So, the topic become more interesting for students because today’s children spend most of their times with games and learn too much. The visualization is possible with GeoGebra for the student to see and explore mathematical relations and concepts which were difficult to show in past lessons without technology.

   I want to talk about reasons of why you can use this software. First, GeoGebra is a free open source dynamic mathematics software. So, you can freely download it from http://www.goegebra.org/. Because of that, you do not face the license problems. Secondly, GeoGebra is constantly being developed by various researchers. Its database is always updating and improving.

3D Printer Technology for Education

        I want to mention about 3D printers which is not common as it should be in Turkey. There are many people who do not know yet. Especially in mathematics issues that students have difficulties to imagine, some basic shapes can be printed by using these printers. I want to share a good example of pattern which is made with 3D printer.

   Most of students generally have difficulties to imagine geometric shapes, this causes that students cannot understand the logic of issues deeply. They solve problems without understanding why they do, just from formulas and rules. Sometimes angles are considered as there are just on paper but there are in everywhere of real life. Students can realize this fact thanks to this printed model and visual learning provides permanent information because students realize the relationship between angles and shapes in real world themselves. In addition, this model helps the students to understand the concepts of an angle and measure of an angle. Students have also difficulties to discriminate between them, most of them think an angle as measure of angle. By this model, they can also see relationship between types of angles obviously because angles can be removed from their places. For example, they can see that addition of right angle and acute angle is smaller than straight angle by trying to motion the angles. So, they can compare the angle of addition and straight angle.

         In this website, you can find more example of projects which is done by using 3D printer. https://www.thingiverse.com/education Moreover, you can order these kinds of models from 3D printer centers. If you want to more information about 3D design products, one of my friends is interested in these kinds of things. They prepare the products in different size and colors depending your wishes. I can help you to contact him 😊