Search results for "Geometric pattern"
showing 10 items of 10 documents
Strategies exhibited by good and average solvers of geometric pattern problems as source of traits of mathematical giftedness in grades 4-6
2019
International audience; We describe and analyse the strategies used by students in primary grades 4, 5 and 6 to solve linear and affine geometric pattern problems. Based on two problems posed in a teaching experiment, we have identified several profiles of strategies used by students to solve the problems. We consider the profiles of students who were good geometric pattern problem solvers as traits that may help identify mathematical giftedness. Our results show that average students used very often incorrect functional strategies and were consistent in using incorrect proportional strategies along the grades. On the other hand, good geometric pattern problem solvers tended to use correct …
The Cognitive Demand of a Gifted Student’s Answers to Geometric Pattern Problems
2018
Mathematically gifted students require specific teaching methodologies to foster their interest in mathematics and their engagement in solving problems. Geometric pattern problems are an interesting context in which to introduce algebra to those students. We present the case of a nine-year-old student engaged in a teaching unit based on geometric pattern problems that was aimed at helping him start learning algebra, equations, and algebra word problems. To analyze and assess the cognitive effort the student made to solve the problems, we used a particularization to this context of the cognitive demand model. We analyzed answers typical of the different kinds of problems posed throughout the…
SHREC 2020: Retrieval of digital surfaces with similar geometric reliefs
2020
Abstract This paper presents the methods that have participated in the SHREC’20 contest on retrieval of surface patches with similar geometric reliefs and the analysis of their performance over the benchmark created for this challenge. The goal of the context is to verify the possibility of retrieving 3D models only based on the reliefs that are present on their surface and to compare methods that are suitable for this task. This problem is related to many real world applications, such as the classification of cultural heritage goods or the analysis of different materials. To address this challenge, it is necessary to characterize the local ”geometric pattern” information, possibly forgetti…
Maiolica bricks spires and domes in Sicily.Tipology, constructive and decorative elements
2018
The use of maiolica bricks as artefact for surface decoration is widespread both in monumental and ordinary architectures in the Mediterranean regions, harmonizing the local construction traditions with the Islamic influences. This study presents an in-depth analysis of examples of spires and domes in Sicily featuring earthenware maiolica cladding serving both as decoration and structural element. Due to the limited knowledge of these artefacts, incautious construction operations led to an alteration of their material and technical features, putting at risk a centuries-old heritage. The systematic investigation on more than a hundred samples categorises these architectural polychrome elemen…
Wedge-shaped bricks spires and domes. Construction and decorative aspects
2018
The use of maiolica bricks as artefact for surface decoration is widespread both in monumental and ordinary architectures in the Mediterranean regions, harmonizing the local construction traditions with the Islamic influences. This study presents an in-depth analysis of examples of spires and domes in Sicily featuring earthenware maiolica cladding serving both as decoration and structural element. Due to the limited knowledge of these artefacts, incautious construction operations led to an alteration of their material and technical features, putting at risk a centuries-old heritage. The systematic investigation on more than a hundred samples categorises these architectural polychrome elemen…
Edma 0-6 : educación matemática en la infancia
2018
There are numerous studies that support the interest of starting the development of algebraic thinking in Primary School. In this paper, we present a part of a research project aimed to explore the processes of solution of geometric pattern problems by students in Primary grades 4th to 6th. We analyze the behavior of students who were administered a teaching unit based on the resolution of this type of problems in the GeoPattern application, created by the authors for this purpose. A characteristic of the application is that it informs the students on the correctness of their answers and allows them to respond again to the same question when their answer was wrong. This causes the students …
The Cuneiform Brick
2022
The study presents some results of an experimental research on brick wall cladding, proposing methodological approaches for the creation of new geometric-compositional configurations. Citing innovative case studies of historical and contemporary architecture, the research has allowed to determine a different geometric shape of the brick, which takes its cue from the traditional wedge-shaped brick in majolica brick, widespread in Sicily since the sixteenth century for the realization of cusps and domes. Through the definition of procedural parametric algorithms for the analysis and geometric-spatial control, it is described the path that led to the digital prototype of a modular component of…
Il mattone cuneiforme maiolicato. Procedure algoritmico-parametriche digitali come strumento di indagine e progettazione: dall'architettura storica a…
2020
The study focuses on the cuneiform in majolica brick that has been widespread in Sicily since the 16th century for the construction of spires and domes. A unifying element that has constituted a particular identity contribution to the island’s brick tradition; an original solution able to combine aesthetics with structural and durability. On the basis of more than a hundred examined cases, the different geometrical-formal peculiarities detected in relation to the characteristics of the shell are described. Some analyses and checks of the traditional geometrical composition patterns of the wall facade are reported. Through the definition of digital tools of algorithmic-parametric design, new…
La rappresentazione dell'architettura in alcuni rivestimenti musivi di epoca medievale in Sicilia
2019
Nei mosaici che decorano le chiese costruite in Sicilia nel XII dai re normanni compaiono rappresentazioni di edifici. Tali rappresentazioni, come frequentemente accade in epoca pre-rinascimentale, condensano, per accostamento, diverse ‘viste’ dello stesso edificio. La presenza negli edifici normanni di pavimenti e manufatti lignei decorati secondo pattern geometrici, ha suggerito la ricerca di analoghi tracciati nei rivestimenti musivi. L’analisi grafica propone la presenza di quadrati e ottagoni stellati in un mosaico della Cappella palatina di Palermo che raffigura un padiglione coperto da una cupola. Many buildings are depicted in the mosaic panels that enrich the churches built in Sici…
Ceramic Production in the Indigenous Settlement of Entella (Western Sicily) During the Archaic Age
2010
Indigenous fine tablewares (both plain and with painted geometric patterns/decorations) were widely diffused in western and central Sicily between the seventh and the fifth centuries BC (Gargini 1995; Spatafora 1996; Trombi 1999; Campisi 2003 However, the considerable recurrence of shapes and decorative subjects inhibits the identification of specific production centres merely on the basis of stylistic and morphological analyses. Therefore, the extent of the distribution of objects manufactured in different workshops cannot be fully appreciated, and the network of ceramic trade in Archaic Sicily is acknowledged only in terms of the relationships between the Phoenician and Greek colonies and…