North American GeoGebra Journal (GeoGebra Institute of Ohio)
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Using the tail of a sequence to explore its limit
No full textGraphing sequences is a common approach to explore limits both conceptually and computationally. In the traditional approach, the first terms of the sequence are the primary focus, however, we present a GeoGebra applet that facilitates the determination and understanding of limits by illustrating an inverted perspective that emphasizes the tail of the sequence instead. Additionally, two robust and valuable GeoGebra topics/commands will be highlighted in the applet, in particular Lists and Sequences. Finally, we conclude with a discussion of several issues surrounding the limits and GeoGebra.Â
Surviving On Mars With Geogebra
No full textIn this paper, the authors describe an interdisciplinary lesson focused on determining how long an astronaut can survive on Mars. The lesson utilizes resources provided by NASA within an inquiry-based context and is aligned to the Common Core modeling standard. The authors detail the use of a GeoGebra applet that encourages students to explore their own questions
Function Fitting to Develop Class Projects: Alcohol Awareness Models in College Algebra
No full textIn this article, the author shares models that were created for class projects in a section of College Algebra taught as part of a first-year cohort program in which the participating students complete eight introductory college courses as a learning community. Using real-world data and GeoGebra function fitting commands, the author has developed models related to a community engagement project theme of drug and alcohol awareness. Quadratic, rational, exponential, and logistic models are presented along with data and a discussion of how GeoGebra was used to create the models
"Messing Around" in Geogebra: Online Inquiry Through Apps and Games
No full textThis article explores a problem solving strategy called "messing around" that is particularly apt for online course work in GeoGebra. While traditional math problems may require students to search deliberately for a specific solution, messing around employs a more fortuitous approach. We dissect this approach and examine multiple GeoGebra apps that support messing around by providing students with a sandbox for mathematical experimentation
Geogebra Tools For The Poincare Ì Disk
No full textThePoincare Ìdisk model played an important role in the acceptance and development of hyperbolic geometry. Although exceptionally useful, the pedagogical value of the model can be further enhanced via experimentation in a dynamic geometry environment. The focus of this article is on the creation of custom tools in GeoGebra for constructing hyperbolic lines and circles in the Poincare Ì disk. In an effort to make this material accessible to a wider audience, the necessary mathematics is also included.Â
Exploration of the Sierpinski Triangle with GeoGebra
No full textIn this paper, the authors explore using fractals in the classroom to teach more complex ideas. In GeoGebra, the Sierpinski triangle is created using a combination of the midpoint and polygon tools. Once created, the triangle can be used to explore the concept of limits by looking at the decreasing area of the figure. Learners can then engage in open inquiry to find a pattern that describes the decreasing area. After the pattern is found, learners can use the sequence function to summarize their results. The variety of functions in GeoGebra allow fractals to be used in a meaningful way in a high school classroom or any setting in which people are willing to learn and inquire
Proceedings of the Fourth Annual Southern Connecticut GeoGebra Conference
No full textProceedings of the Fourth Annual Southern Connecticut GeoGebra Conferenc
Short Presentation Abstracts
No full text1. Measures of Center
2. Investigating Parametric Equations on GeoGebra
3. Polar Curves using Parametric Equations
4. z-scores
5. Creating transformations in GeoGebr
