figures impossible to construct under the traditional compass-and-straight-edge rules (such as the. KSEG was inspired by The Geometers Sketchpad, but it goes beyond the. caption Geometers Sketchpad editing a circumcircle. Use the triangle in the figure to determine its. You create a construction, such as a triangle with a circumcenter, and then. Which of the following illustrations is the circumcenter of the triangle shown below 3. The basic steps to construct the circumcenter are discussed below: Step 1: Outline the perpendicular bisectors of all the sides of the triangle applying a compass. Construct the circumcenter of the following triangle. A difference between the work of the designer and that of a user is established, especially in terms of the effects on reasoning, proof, modelling activity and the creation of digital artefacts. The circumcenter of a triangle can be constructed by tracing the perpendicular bisector of any of the two sides of the given triangle. The notion of valence of mathematical work makes it possible to account for the operating domain of interactions as well as for the possible adaptations of an evolving subject-milieu system, whether for the accomplishment of a task or in the course of learning mathematics. He goes on to define the new mathematical work by introducing concepts of reference in the interaction between human and machine.
It opens with historical considerations that relate to the development of mathematical work to do arithmetic when symbolic or mechanical tools and algorithmic methods were used. This chapter focuses on the particularities of mathematical work in the digital age.
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