scholarly journals Ethnomathematical study on folk dances: focusing on the choreography

Revemop ◽  
2020 ◽  
Vol 2 ◽  
pp. e202014
Author(s):  
Sara Cristina Magalhães Gomes Ribeiro ◽  
Pedro Manuel Baptista Palhares ◽  
María Jesús Salinas Salinas
Keyword(s):  
Mathematical Structure ◽  
Autonomous Community ◽  
Numerical Schemes ◽  
Mathematical Ideas ◽  
School Practice ◽  
Northern Portugal ◽  
Different Types

The investigation in ethnomathematics we are developing aims to analyse the mathematical structure inherent in various elements that constitute folk dances of Northern Portugal and Galicia, which is an autonomous community of Spain, specifically choreography, music and accessories. Focusing on choreography, we intend to represent and describe the movements that dancers perform during dances. Different types of choreography were identified in folk dances based on dispositions that although dancers may not remain fixed through the dance, are those to which they end up returning. In addition, diagrams and numerical schemes were elaborated to represent the successive positions occupied by dancers or pairs through the folk dances. The mathematical ideas and procedures resulting from this ethnomathematical research will then be used for school practice, through the construction of tasks to be applied in the classroom.Keywords: Ethnomathematics. Folk dances. Choreography.Estudio etnomatemático sobre danzas folclóricas: centrándose en la coreografíaLa investigación en Etnomatemática que estamos desarrollando tiene como objetivo analizar la estructura matemática inherente a los diversos elementos que constituyen las danzas folclóricas del norte de Portugal y Galicia, que es una comunidad autónoma de España, a saber, coreografía, accesorios y música. Centrándonos en la coreografía, pretendemos representar y describir los movimientos que realizan los bailarines durante los bailes. Se han identificado diferentes tipos de coreografía en los bailes folclóricos, en función de las disposiciones que, si bien los bailarines no pueden mantener fijos durante los bailes, ellos son a los que finalmente regresan. Además, se elaboraron diagramas y esquemas numéricos para representar las posiciones sucesivas ocupadas por los bailarines o parejas a través de los bailes folclóricos. Las ideas y procedimientos matemáticos resultantes de esta investigación etnomatemática se utilizarán en la práctica pedagógica mediante la construcción de tareas que se aplicarán en el aula.Palabra clave: Etnomatemática. Danzas folclóricas. Coreografía.Estudo etnomatemático sobre danças folclóricas: focando na coreografiaA investigação em Etnomatemática que estamos a desenvolver visa analisar a estrutura matemática inerente aos vários elementos que constituem danças folclóricas do Norte de Portugal e da Galiza, que é uma comunidade autónoma de Espanha, nomeadamente a coreografia, os acessórios e a música. Focando na coreografia, pretendemos representar e descrever os movimentos que os dançarinos realizam durante as danças. Diferentes tipos de coreografias foram identificados nas danças folclóricas, baseados nas disposições que, embora os dançarinos possam não manter fixas ao longo das danças, são aquelas a que eles acabam por retornar. Além disso, foram elaborados diagramas e esquemas numéricos para representar as sucessivas posições ocupadas pelos dançarinos ou pares através das danças folclóricas. As ideias e procedimentos matemáticos resultantes desta investigação etnomatemática serão, então, utilizadas na prática pedagógica, por meio da construção de tarefas para serem aplicadas na sala de aula.Palavras-chave: Etnomatemática. Danças folclóricas. Coreografia.

Mathematical ideas and indigenous languages

2021 ◽  
Author(s):  
Bill Barton ◽  
Roslyn M Frank
Keyword(s):  
Cognitive Linguistics ◽  
Mathematical Thinking ◽  
Human Experience ◽  
Indigenous Languages ◽  
Mathematical Ideas ◽  
Cultural Activities ◽  
Recent Interest ◽  
Formal Mathematics ◽  
Different Types ◽  
And Linguistics

Recent interest in how anthropology and linguistics relates to mathematics has led to recognition that mathematical thinking is a function of language in ways not previously recognised. Ethnomathematics, cognitive linguistics, and anthropology are all pointing to a way of understanding mathematical ideas based on human experience and cultural activities. Formal mathematics can be seen to have developed from metaphors deeply embedded in our languages. This raises the question of relativity in mathematics. Do different languages embody different types of mathematics? This chapter examines some emerging evidence in the grammar and syntax of indigenous languages, i.e. languages structurally very different from the Indo-European linguistic tradition. The educational consequences of the possibility of different mathematical thinking is briefly discussed.

Didactic Proposal for Physical Education for Three-Year Olds in Early Childhood Education

2021 ◽  
pp. 262-279
Author(s):  
Carmen Delgado Ruiz ◽  
Elena Portero Ponce ◽  
Elena González Vela ◽  
María Muñoz Álvarez
Keyword(s):  
Physical Activity ◽  
Early Childhood ◽  
Early Childhood Education ◽  
Physical Education ◽  
Performing Arts ◽  
Autonomous Community ◽  
Childhood Education ◽  
La Mancha ◽  
Different Types

Throughout this chapter the authors are going to present a didactic proposal, called “Lights, Camera, and Action” that is arranged to be carried out with three-year-old boys and girls and consists of five sessions, which will be spread over 15 days, and physical activity will be performed twice a week. In this proposal, topics like the typical in the performing arts such as circus, theater, dance, and music are explored. In this playful and motivating way, physical activity will be promoted, through our own content such as jumps, turns, and different types of balance. The didactic proposal contains objectives, competences, and contents, regulated by the Curriculum Decree 67/2007 establishing Early Childhood Education in the Autonomous Community of Castilla-La Mancha (Spain).

scholarly journals Theoretical framework for higher-order quantum theory

2019 ◽  
Vol 475 (2225) ◽  
pp. 20180706 ◽  
Author(s):  
Alessandro Bisio ◽  
Paolo Perinotti
Keyword(s):  
Quantum Theory ◽  
Convex Sets ◽  
Mathematical Structure ◽  
Higher Order ◽  
Equivalence Relations ◽  
Full Generality ◽  
Special Cases ◽  
Different Types ◽  
Causal Structures

Higher-order quantum theory is an extension of quantum theory where one introduces transformations whose input and output are transformations, thus generalizing the notion of channels and quantum operations. The generalization then goes recursively, with the construction of a full hierarchy of maps of increasingly higher order. The analysis of special cases already showed that higher-order quantum functions exhibit features that cannot be tracked down to the usual circuits, such as indefinite causal structures, providing provable advantages over circuital maps. The present treatment provides a general framework where this kind of analysis can be carried out in full generality. The hierarchy of higher-order quantum maps is introduced axiomatically with a formulation based on the language of types of transformations. Complete positivity of higher-order maps is derived from the general admissibility conditions instead of being postulated as in previous approaches. The recursive characterization of convex sets of maps of a given type is used to prove equivalence relations between different types. The axioms of the framework do not refer to the specific mathematical structure of quantum theory, and can therefore be exported in the context of any operational probabilistic theory.

scholarly journals Introducing a new tool to navigate, understand and use International Codes of Nomenclature

PeerJ ◽  
2019 ◽  
Vol 7 ◽  
pp. e8127
Author(s):  
Evangelos Vlachos
Keyword(s):  
A Priori ◽  
Mathematical Structure ◽  
Zoological Nomenclature ◽  
International Code ◽  
Entire System ◽  
Different Types ◽  
Standard Sets ◽  
Linear Text ◽  
And Linguistics

Background In order to designate the various concepts of taxa in biology, evolution and paleontology, scientists have developed various rules on how to create unique names for taxa. Different Codes of Nomenclature have been developed for animals, plants, fungi, bacteria etc., with standard sets of Rules that govern the formation, publication and application of the nomina of extant and extinct species. These Codes are the result of decades of discussions, workshops, publications and revisions. The structure and complexity of these Codes have been criticized many times by zoologists. This project aims, using the International Code of Zoological Nomenclature as a case study, to show that the structure of these Codes is better reflected and understood as networks. Methods The majority of the text of the Code has been divided into hundreds of Nodes of different types, connected to each other with different types of Edges to form a network. The various mathematical descriptors of the entire system, as well as for the elements of the network, have been conceptually framed to help describing and understanding the Code as a network. Results The network of the Code comprises 1,379 Nodes, which are connected with 11,276 Edges. The structure of the Code can be accurately described as a network, a mathematical structure that is better suited than any kind of linear text publication to reflect its structure. Discussion Thinking of the Code as a network allows a better, in-depth understanding of the Code itself, as the user can navigate in a more efficient way, as well as to depict and analyze all the implied connections between the various parts of the Code that are not visible immediately. The network of the Code is an open access tool that could also help teaching, using and disseminating the Code. More importantly, this network is a powerful tool that allows identifying a priori the parts of the Code that could be potentially affected by upcoming amendment and revisions. This kind of analysis is not limited to nomenclature, as it could be applied to other fields that use complex textbooks with long editing history, such as Law, Medicine and Linguistics.

Delving Deeper: New Life for an Old Topic: Completing the Square Using Technology

2010 ◽  
Vol 104 (3) ◽  
pp. 230-236
Author(s):  
Steve Phelps ◽  
Michael Todd Edwards
Keyword(s):  
Mathematics Teaching ◽  
Mathematical Structure ◽  
School Mathematics ◽  
National Council ◽  
Mathematical Ideas ◽  
Use Of Technology ◽  
Teachers And Students ◽  
Principles And Standards

Mathematics teaching has always been a curious blend of the old and the new. As the use of technology becomes more commonplace in school classrooms, this blend becomes even more pronounced. When teachers and students revisit traditional topics using technology, they are afforded opportunities to connect mathematical ideas in powerful, previously unimagined ways. The National Council of Teachers of Mathematics (NCTM) captures the importance of connections clearly in its Principles and Standards for School Mathematics (2000): “The notion that mathematical ideas are connected should permeate the school Technologymathematics experience at all levels. As students progress through their school mathematics experience, their ability to see the same mathematical structure in seemingly different settings should increase” (p. 64).

scholarly journals LEARNING KNOWLEDGE OF TEACHERS OF MATHEMATICS TO EXPLAIN THE DIFFERENCE BETWEEN THEORETICAL ADVICE AND SCHOOL PRACTICE WITH THE HELP OF LINKING ASSIGNMENTS

2021 ◽  
Vol 6 (2(25)) ◽  
pp. 21-26
Author(s):  
R. Magsar ◽  
B. Hadbaatar
Keyword(s):  
Secondary School Teachers ◽  
School Teachers ◽  
School Practice ◽  
Mathematical Connections ◽  
Study And Teaching ◽  
Different Types ◽  
Basic Quality ◽  
Teaching Of Mathematics ◽  
The Difference

This research is based on the theory that mathematical connections are established by solving problems in different ways in the study and teaching of mathematics. Based on one-on-one interviews with 12 secondary school teachers in Mongolia and two group meetings, we showed that the difference between theoretical advice and school practice in a multitasking environment depends on the basic quality of the teachers’ knowledge. A complex relationship has been revealed between different types of teachers’ knowledge.

The extinction time of a general birth and death process with catastrophes

1986 ◽  
Vol 23 (04) ◽  
pp. 851-858 ◽  
Author(s):  
P. J. Brockwell
Keyword(s):  
Laplace Transform ◽  
Size Distribution ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Death Process ◽  
Extinction Time ◽  
Birth And Death Process ◽  
Different Types ◽  
The Laplace Transform ◽  
Necessary And Sufficient

The Laplace transform of the extinction time is determined for a general birth and death process with arbitrary catastrophe rate and catastrophe size distribution. It is assumed only that the birth rates satisfyλ0= 0,λj> 0 for eachj> 0, and. Necessary and sufficient conditions for certain extinction of the population are derived. The results are applied to the linear birth and death process (λj=jλ, µj=jμ) with catastrophes of several different types.

Differentiating between different forms of moral obligations

2020 ◽  
Vol 43 ◽  
Author(s):  
Rajen A. Anderson ◽  
Benjamin C. Ruisch ◽  
David A. Pizarro
Keyword(s):  
Moral Character ◽  
Moral Obligations ◽  
Different Types

Abstract We argue that Tomasello's account overlooks important psychological distinctions between how humans judge different types of moral obligations, such as prescriptive obligations (i.e., what one should do) and proscriptive obligations (i.e., what one should not do). Specifically, evaluating these different types of obligations rests on different psychological inputs and has distinct downstream consequences for judgments of moral character.

Ultrastructural Investigations of the Contractile Filaments of Amoebae

1974 ◽  
Vol 32 ◽  
pp. 188-189
Author(s):  
P.L. Moore
Keyword(s):  
Cytoplasmic Streaming ◽  
Three Dimensional ◽  
Freeze Fracture ◽  
Amoeboid Movement ◽  
Different Types ◽  
Chemical Conditions ◽  
Complete Interpretation

Previous freeze fracture results on the intact giant, amoeba Chaos carolinensis indicated the presence of a fibrillar arrangement of filaments within the cytoplasm. A complete interpretation of the three dimensional ultrastructure of these structures, and their possible role in amoeboid movement was not possible, since comparable results could not be obtained with conventional fixation of intact amoebae. Progress in interpreting the freeze fracture images of amoebae required a more thorough understanding of the different types of filaments present in amoebae, and of the ways in which they could be organized while remaining functional.The recent development of a calcium sensitive, demembranated, amoeboid model of Chaos carolinensis has made it possible to achieve a better understanding of such functional arrangements of amoeboid filaments. In these models the motility of demembranated cytoplasm can be controlled in vitro, and the chemical conditions necessary for contractility, and cytoplasmic streaming can be investigated. It is clear from these studies that “fibrils” exist in amoeboid models, and that they are capable of contracting along their length under conditions similar to those which cause contraction in vertebrate muscles.

Study of the Molecular Architecture of Keratin Filaments by Electron Microscopy

1982 ◽  
Vol 40 ◽  
pp. 118-119
Author(s):  
U. Aebi ◽  
P. Rew ◽  
T.-T. Sun
Keyword(s):  
Electron Microscopy ◽  
Structural Organization ◽  
Cell Types ◽  
Structural Features ◽  
Molecular Architecture ◽  
The Past ◽  
Keratin Filaments ◽  
Different Types ◽  
10 Nm Filaments ◽  
Different Cell Types

Various types of intermediate-sized (10-nm) filaments have been found and described in many different cell types during the past few years. Despite the differences in the chemical composition among the different types of filaments, they all yield common structural features: they are usually up to several microns long and have a diameter of 7 to 10 nm; there is evidence that they are made of several 2 to 3.5 nm wide protofilaments which are helically wound around each other; the secondary structure of the polypeptides constituting the filaments is rich in ∞-helix. However a detailed description of their structural organization is lacking to date.

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