North American GeoGebra Journal (GeoGebra Institute of Ohio)
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88 research outputs found
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Hinged Tilings
No full textWe present interactive dynamical tilings formed by rigid regular polygons that are hinged to each other leaving polygonal empty spaces to allow for rotations. As one of the hinged tiles is rotated, the other tiles rotate too and the global shape of the tiling is changed. Examples include using tilings made of squares; hexagons and triangles; squares of two sizes; hexagons; octagons and squares; triangles; and three tilings where the polygons are joined by hinged rigid rods
Fostering Growth In Teacher Content Knowledge Through The Construction Of Sketches For Students
No full textIn this paper, the author investigates connections between teacher content knowledge and the construction of sketches through an examination of teacher-constructed applets. Specifically, the author analyzes the mathematics that teachers needed to know to design sketches in GeoGebra to support student understanding of a proportional reasoning problem aligned to 6th grade Common Core math standards
Exploring cyclic quadrilaterals with perpendicular diagonals
No full textHigh School Students explore three interesting results about cyclical quadrilaterals that have perpendicular diagonals. They explore how to generalize one of the results to any cyclical quadrilateral
Fostering Understanding of Monte Carlo Simulations for Estimating Using Dynamic GeoGebra Applets
No full textSimulations of events, using Monte Carlo methods in Geogebra, provide students with opportunities to actively participate in statistical events. Simulations can be used to derive statistical information about underlying distributions. In the following paper, we explore dart throwing and needle drop simulations as vehicles for estimating. Connecting abstract concepts to visually compelling media provides teachers with innovative approaches for teaching probability
Exploring Lake Erie Algae Growth In An Algebra Class Using Geogebra
No full textThe article describes an investigation activity based on the spread of the toxic algae in Lake Erie. Students collect data showing the algae spread over few days, find best fit curve(s) and make predictions for later days. Later on, they compare their predictions with actual data and adjust their models
Brownie Points
No full textIn this article, we explore an open-ended problem that integrates fair division, geometry, algebra, and its extensions in higher dimensions. GeoGebra is an essential tool used to further investigate this problem through its juxtaposition of algebraic and geometric representations. The reader is invited to try similar activities with his or her own students through the purposeful use of dynamic geometry
Where's The Firehouse?
No full textStudents will be tasked with finding the best location for a firehouse given houses along a street, which are represented as points on a line. The worksheet and accompanying GeoGebra sketch will not tell students how to approach the task, leading students to practice reasoning skills. In this paper, I will argue that rich tasks such as this one will benefit students more on end of course assessments under the Common Core and PARCC, and in mathematics classes in general
Building Dynamic Fraction Bar Models with GeoGebra
No full textIn this article, the author demonstrates how GeoGebra can be used to build fraction bar models for conceptualizing equivalent fractions as well as addition, subtraction, multiplication, and division of fractions. Each construction uses checkboxes and input boxes to allow users to dynamically interact with the constructions and sequences of polygons to create the fraction bars
The Parabola as a Locus: Paving the Way to the CCSS
No full textAuthors present a teaching activity conducted in a geometry class for prospective secondarymathematics teachers. Activity goal is to derive the equation of the parabolagiven the focus and the directrix (CCSS). Additionally, students use Geogebra to investigate the effect of thefocus and the directrix on the graph
The Parabola as the Locus of the Product of two Lines: Building Functions from Functions
No full textThis paper presents another approach to vertical parabolas--namely as the product of two lines. The locus in Geogebra (Hohenwarter, 2002) permits to produce this product and dynamically investigate changes in the parabola and relate them to its linear factors. This approach can be easily generalized to more linear factors, and to horizontal parabolas. This approach relates to the Function Domain -- Building Functions in the CCSS