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Shaping the Standards: Geometry and Geometric Thinking
Mathematics Teaching in the Middle School, 1999This article is the third in a series inviting discussion of, and reaction to, the draft of Principles and Standards for School Mathematics. This month's article focuses on geometry and geometric thinking. Your feedback will help the writers prepare the final version of the document next summer; the final version will be released in April 2000.
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Thinking Geometrically in Pierre-Daniel Huet's "Demonstratio evangelica" (1679)
Journal of the History of Ideas, 2002Sometime after 1679, Pierre-Daniel Huet (1630-1721) indulged an author's vanity by comparing his Demonstratio evangelica with works whose authors are far better known today. He recorded his judgments on a scrap of paper.1 First, he contrasted the Demonstratio to Antoine Arnauld's Les nouveaux elemens de geometrie (1664).
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EXPLORING THE EVOLUTION OF GEOMETRICAL THINKING
2013Geometry situated artefacts is a great resource to have learners experience geometry. This study explores how pre-service teachers go through this experience and how they benefit by connecting real life geometry to their learning geometry trajectory.
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DEVELOPING GEOMETRICAL THINKING THROUGH MATHEMATIZATION
2017This paper summarizes aresearch done at a graduate course. The researcher investigates themathematization experience of three graduate students while solving a geometryproblem. The participants were expected to go through a verticalmathematization derived from a real life example.
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Geometrical Thinking: Solving a Problem on Graphic Representation
2020Establishing a new drawing system demands critical attention from the user in order to make the correlation between objects that are being represented, and the instruments used for their depiction. The successful use of a technique requires taking into consideration the knowledge implied in that same procedure.
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Applying Geometric Methods of Thinking to Life Situations
The Mathematics Teacher, 1938It is the purpose of this paper to deal with actual class room experiences in applying geometric methods of thinking to life situations and so I shall merely state briefly some of the considerations upon which our attempts have been based. I think we agree that geometry is the simplest and most convenient introduction to postulational thinking that has
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Geometric thinking levels among college of education students
2022Geometry is a key area of math. Reviewing the curriculum of primary and secondary school indicates that geometry is one of the major academic subjects, and it is consider one of the most difficult areas of mathematics to pupils. Quite a few studies conducted in recent decades reported the difficulties encountered by pupils that learning geometry.
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