A constraint-based dynamic geometry system

Freixas, Marc; Joan-Arinyo, Robert; Soto-Riera, Antoni

doi:10.1016/j.cad.2009.02.016

Cited by 13 publications

(18 citation statements)

References 15 publications

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“…Bilgisayarların sınıf ortamlarında kullanılmasında araç olarak kullanılan dinamik yazılımlar, öğrencilerin ve öğretmenlerin ilgisini çekerek öğrenme ortamlarının alışılmışın dışına çıkmasına neden olmuştur. Kağıt üzerinde yapılan cetvel ve pergel çizimleriyle karşılaştırıldığında; doğru çizim yapabilmeyi (keşisme noktaları, teğet, vb) ve kullanıcının değerlerini her zaman değiştirebildiği geometrik kavramları inşa edebilmeyi sağlamaktadır (Freixas, Joan-Arinyo & Soto-Riera, 2010). Özellikle geometrik bilginin geleneksel tümdengelimli mantık ve dilsel tabanlı temsili yeniden yorumlanabilmekte veya tanımlanabilmektedir (Lopez-Real & Leung, 2006).…”

Section: Resultsunclassified

The Effect of a Dynamic Software on the Success of Analytical Analysis of the Circle and Prospective Mathematics Teachers Opinions

2013

NEFMED

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-The aim of the study was to examine the effects of geometry instruction, which was performed with a dynamic software, on the success of prospective elementary mathematics teachers in the analytical analysis of the circle, and to reveal their opinions in this performed geometry instruction. The embedded research design, which is among the mixed research approaches, was used in the study. The research applied 29 prospective elementary mathematics teachers and the data obtained from circle success test and semi-structured focus group interview form. In view of the analysis of the data, it was observed that the instruction, which was performed with a dynamic software, provided a positive contribution to the success of prospective teachers in the subject of the analytical analysis of the circle. Moreover, it was observed that the prospective teachers expressed that geometry instruction in a dynamic environment enabled them to understand point of power and the points on the circle, and it had positive effects on developing thinking skills, visuality, retention, learning in a short time, concretization and focusing the attention of the students with dynamism. In contrast, it was determined that the use of technology was low in mathematics and geometry courses in the secondary education institutions, and prospective teachers wanted to perform geometry instruction in dynamic environments in their teaching profession.

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Section: Resultsunclassified

The Effect of a Dynamic Software on the Success of Analytical Analysis of the Circle and Prospective Mathematics Teachers Opinions

2013

NEFMED

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“…The method applies to complex systems of geometric constraints in both 2D and 3D and has been successfully applied in the dynamic geometry field, [2]. It is a general method, the main drawback, however, is that it is based on numerical sampling.…”

Section: Introductionmentioning

confidence: 99%

“…This challenging and longtime standing problem used to be solved by regular sampling in the parameters space. See [2].…”

Section: Computing Dependences In 1 Dof Problemsmentioning

confidence: 99%

h-graphs: A new representation for tree decompositions of graphs

Hidalgo

Joan-Arinyo

2015

Computer-Aided Design

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“…A GSPs can be seen as a sequence of construction steps such that once values have been assigned to the free points, generates an actual construction that places free and dependent elements with respect to each others. Figure 1, shows a GSP and an actual construction, In Freixas et al (2010), Freixas et al reported on a dynamic geometry system based on constructive geometric constraint solving. In this technology, the user defines a geometric problem by sketching some geometric elements, denoted G, taken from a given repertoire (points, lines, circles, etc) and annotates the sketch with a set of geometric relationships, called constraints, (point-point distance, point-line distance, angle between two lines and so on), denoted C, that must be fulfilled for some specific values assigned to the set of parameters, P .…”

Section: Constraint-based Dynamic Geometrymentioning

confidence: 99%

“…See, for example, Bouma et al (1995); Joan-Arinyo et al (2003van der Meiden and Bronsvoort (2005). For an in depth study of the index and the role it plays in a geometric constraint solving see Freixas et al (2010).…”

Section: Constraint-based Dynamic Geometrymentioning

confidence: 99%

The Reachability Problem in Constructive Geometric Constraint Solving Based Dynamic Geometry

Hidalgo

Joan-Arinyo

2013

J Autom Reasoning

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An important issue in dynamic geometry is the reachability problem that asks whether there is a continuos path that, from a given starting geometric configuration, continuously leads to an ending configuration. In this work we report on a technique to compute a continuous evaluation path, if one exists, that solves the reachability problem for geometric constructions with one variant parameter. The technique is developed in the framework of a constructive geometric constraint-based dynamic geometry system, uses the A * algorithm and minimizes the variant parameter arc length.

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A constraint-based dynamic geometry system

Cited by 13 publications

References 15 publications

The Effect of a Dynamic Software on the Success of Analytical Analysis of the Circle and Prospective Mathematics Teachers Opinions

The Effect of a Dynamic Software on the Success of Analytical Analysis of the Circle and Prospective Mathematics Teachers Opinions

h-graphs: A new representation for tree decompositions of graphs

The Reachability Problem in Constructive Geometric Constraint Solving Based Dynamic Geometry

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