North American GeoGebra Journal (GeoGebra Institute of Ohio)
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88 research outputs found
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Intersection of Polyhedrons and a Plane with GeoGebra
No full textUsing GeoGebra, we present an innovative method for teaching of the intersection of polyhedrons with a plane using infinite points and the swap of finite and infinite points. The method presented is efficient and powerful, allowing one to generate solutions of a whole set of problems by solving one instance and using a pre-made applet at any stage of the solution process
Exploring Conservation of Momentum in Inelastic and Elastic Collisions and Explosions
No full textA GeoGebra applet was created to supplement lectures and experiments surrounding collisions for AP or introductory college physics. Students can explore two-body one-dimensional conservation of momentum problems in this simulation by manipulating the masses and velocities of two colliding objects. They can compare both vectoral and graphical momentum representations of inelastic and elastic collisions as well as the novel addition of explosions, a special form of inelastic collision. In the following article the importance of momentum representation as a graphical area is explained along with the mathematics of the program, hints for using the applet and how it can be incorporated into the classroom
Proceedings of the Third Annual Southern Connecticut GeoGebra Conference
No full textProceedings of the Third Annual Southern Connecticut GeoGebra Conferenc
Using GeoGebra To Present Kinetic Data And Ligand Binding Data To A Biochemistry Class
No full textThere are two hyperbolic functions commonly presented in Biochemistry classes. Both of these functions, the Michaelis-Menten enzyme activity curve and the Scatchard ligand binding isotherm, are routinely re-expressed using a linear transform in order to determine the rate and binding constants inherent in each model. We will demonstrate how these transforms, when presented in GeoGebra, make useful and interactive teaching tools. 
Euclid, the Game! for Virtual Mathematics Teams
No full textEuclid, the Game! is capable of providing students carefully structured enironments and motivations to explore and learn from those environments. In addition, the Virtual Mathematics Teams with Geogebra program offers students opportunities to communicate their solutions with other students. The combination of these two environments enhances both the motivational and educational aspects of the activity. View Articl
Visualizing Solids Of Revolution In Geogebra
No full textSurfaces can be graphed in GeoGebra by either using the Surface command, defining a function f (x, y), or inputting an equation of at most three variables. Some surfaces can be easily graphed using a function of two variables or an equation, but we have more control over the surface if the Surface command is used. We start by graphing surfaces of revolution encountered in single variable calculus class. A surface of revolution can be graphed in GeoGebra provided we can parameterize the circular cross-section. This method of graphing a surface of revolution can be applied to model objects with circular cross-section, like a Hershey's Kiss, in GeoGebra. 
Geometric Translations: An Interactive Approach Based on Students' Concept Images
No full textWe present activities are based on the nature of middle-school students' concept images of geometric translations. We propose the use of interactive GeoGebra files, prototypical examples, and nonexamples. These are chosen to help students develop their thinking through the natural stages of thinking about translation as a motion. We discuss the importance of geometric transformations in the learning of geometry, and the central role of examples and nonexamples in the learning of mathematical concepts. We describe three stages in middle-school students' thinking about geometric translations as motion translations; and some misconceptions found in research studies. Twelve activities constitute the main body of the article. We discuss more advanced stages in the understanding of geometric translations that will need to be addressed beyond the middle-school. View Articl
Hidden Properties of the Equilateral Triangle
No full textThe equilateral triangle provides a rich context for students and teachers to explore and discover geometrical relations using GeoGebra. In this paper, we provide teachers with interactive applets to use in their classrooms to support student conjecturing regarding properties of the equilateral triangle. Proofs of the properties are then presented. Proofs make use of theorems in geometry, trigonometry, coordinate geometry, as well as inequalities about numbers
Modeling a Total Solar Eclipse Using GeoGebra
No full textUsing a modeling approach, this article discusses how to build a GeoGebra model to help students make sense of a total solar eclipse. A few powerful tools in GeoGebra such as sliders, tangents, animation allow students to explore the mathematical dynamics of a solar eclipse and identify the causes behind a total or partial solar eclipse
An Informal Approach to Linear Least Squares
No full textModeling data using the least squares method is used extensively in practice, and is therefore an essential topic for students of data science. This paper describes a GeoGebra applet used to facilitate understanding of the objective and the underlying mathematics of the least squares method. Additionally, lists, one of the most robust and valuable GeoGebra features is highlighted through the use of the Sequence command. The discussion includes ideas for enhancing the applet