scholarly journals Análise de Praxeologias em Avaliação Formativa em Ambientes Virtuais na Construção delimites de uma Função Real de uma Variável RealAnalysis of practices in formative evaluation in virtual environments in the construction of the concept of limits of a real function of a real variable

2019 ◽  
Vol 21 (5) ◽  
Author(s):  
Osnildo Andrade Carvalho ◽  
Luiz Marcio Santos Farias ◽  
Itamar Miranda da Silva
Keyword(s):  
Virtual Environments ◽  
Real Function ◽  
Formative Evaluation ◽  
Real Variable

O presente trabalho é um recorte de uma pesquisa em andamento, e tem como objetivo analisar as práticas em avaliação formativa em aulas de cálculo diferencial e integral através de ambientes virtuais. Nosso foco é a incompreensão do conceito de limites, conceito este essencial para o curso de cálculo. Nossa lente teórica está alicerçada nos aportes da Teoria Antropológica do Didático; esta teoria apresenta elementos importantes para o desenvolvimento da pesquisa tais como as praxeologias, os ostensivos e não ostensivos. A nossa questão de investigação é como os estudantes reorganizarão as praxeologias relativas ao conceito de limites, numa organização didática, com a presença sistemática da avaliação formativa, tendo como suporte um ambiente virtual. Temos como hipótese que a atividade institucional somente se completa quando se dá ênfase à exploração dos momentos de trabalho da técnica e do tecnológico-teórico. A nossa abordagem metodológica está pautada na engenharia didática, que procura modelar teoricamente a investigação. E por fim, esperamos, com essa investigação, apresentar contribuições para o aprendizado de cálculo diferencial e integral bem como dialogar com pesquisas relacionadas com o tema.

On the derivation of discontinuous functions

1939 ◽  
Vol 35 (3) ◽  
pp. 373-381
Author(s):  
D. R. Dickinson
Keyword(s):  
Real Function ◽  
Limit Point ◽  
Real Variable ◽  
Positive Direction ◽  
The Real ◽  
Discontinuous Functions ◽  
Set Of Points

Let f(x) be a real function of the real variable x, let P be any point lying on the graph of f(x) and let l be a ray from P making an angle θ (− π < θ ≤ π) with the positive direction of the x-axis. We say that θ is a derivate direction of f(x) at the point P if the ray l meets the graph of f(x) in a set of points having a limit point at P.

scholarly journals Evaluación formativa para entornos virtuales en áreas de bases de datos [Formative evaluation for virtual environments in the areas of databases]

2015 ◽  
Author(s):  
Lilia Ana Sandoval Pineda ◽  
Jorge Enrique Quevedo Reyes
Keyword(s):  
Formative Assessment ◽  
Virtual Environments ◽  
Formative Evaluation ◽  
Point Of View ◽  
Theoretical Point ◽  
Review Of The Literature ◽  
The Subject ◽  
Assessment Strategies ◽  
Entornos Virtuales

El artículo tiene como objetivo presentar la actualidad de la evaluación formativa en el tema de diseño bases de datos para entornos virtuales, en donde se mencionan las plataformas virtuales con sus estrategias de evaluación convencional para áreas afines con la ingeniería. Entre los principales aspectos en que se centra la revisión de la literatura esta la taxonomía de Bloom, entornos virtuales, plataformas y evaluación formativa. Desde el punto de vista teórico se centra en el tema de diseño de las bases de datos, las metodologías de evaluación y las diferentes alternativas para ambientes virtuales, enfatizando en los recursos y formas como se afrontan en la actualidad. También se tiene en cuenta el papel del estudiante y del docente en el proceso de evaluación y realimentación del aprendizaje. Luego de experimentar y evaluar desde el punto de vista evaluación formativa, tanto las plataformas estándar, como también los proyectos desarrollados por institutos y universidades, se concluye que las plataformas ni siquiera tienen en cuenta este tipo de evaluación y los resultados obtenidos por proyectos particulares no son suficientes para cubrir un proceso real y completo de este tipo de evaluación.Palabras Clave: Entorno Virtual, Evaluación formativa, Diseño de base datos.This article aims to present the current of formative assessment for the subject of database design for virtual environments where virtual platforms mentioned with conventional assessment strategies for areas related to engineering. Among the main issues focused review of the literature is Bloom's taxonomy, virtual environments, platforms, and educational assessment. From the theoretical point of view focuses on the design theme of the databases, assessment methodologies and the different alternatives for virtual environments, emphasizing resources and forms as encountered today. It also takes into account the role of the student and the teacher in the process of assessment and feedback of learning. After experimenting and evaluating from the point of view formative assessment, both standard platforms, as the projects developed by colleges and universities, it is concluded that the platforms do not even take into account this type of assessment and the results obtained for particular projects, not sufficient to cover actual and complete a process of this type of assessment.Keywords: Virtual Environment, formative evaluation, Designed data base

scholarly journals Development of the Theory of the Functions of Real Variables in the First Decades of the Twentieth Century

2020 ◽  
Author(s):  
Loredana Biacino
Keyword(s):  
Twentieth Century ◽  
Calculus Of Variations ◽  
Real Function ◽  
Measure Theory ◽  
Real Variable ◽  
Italian Mathematicians ◽  
Lebesgue Theorem

In (Biacino 2018) the evolution of the concept of a real function of a real variable at the beginning of the twentieth century is outlined, reporting the discussions and the polemics, in which some young French mathematicians of those years as Baire, Borel and Lebesgue were involved, about what had to be considered a genuine real function. In this paper a technical survey of the arising function and measure theory is given with a particular regard to the contribution of the Italian mathematicians Vitali, Beppo Levi, Fubini, Severini, Tonelli etc … and also with the purpose of exposing the intermediate steps before the final formulation of Radom-Nicodym-Lebesgue Theorem and the Italian method of calculus of variations.

Cluster sets and topology

2018 ◽  
Vol 68 (6) ◽  
pp. 1465-1476
Author(s):  
Jacek Jędrzejewski ◽  
Stanisław Kowalczyk
Keyword(s):  
Real Function ◽  
Real Variable ◽  
Real Numbers ◽  
And Topology ◽  
Cluster Sets

Abstract Limit numbers (cluster sets) of a real function of a real variable were discussed in the literature by many authors. Generalizations of cluster sets were considered by distinctions of some classes of sets which generated some kind of limit. In general they were close to some topology on the set of real numbers. However not all such classes allowed to define a topology on ℝ in a simple way. We consider some topologies in ℝ generated by those classes of sets. We investigate a connection between limit numbers generated by those classes and limit numbers defined by a topology generated by a class 𝔅.

scholarly journals On extensions of inequalities of Kolmogoroff and others and some applications to almost periodic functions

1972 ◽  
Vol 13 (1) ◽  
pp. 1-16 ◽  
Author(s):  
C. J. F. Upton
Keyword(s):  
Real Function ◽  
Real Line ◽  
Complex Function ◽  
Real Variable ◽  
Almost Periodic Functions ◽  
Almost Periodic ◽  
Periodic Functions ◽  
Almost Everywhere ◽  
Image Position

Let f(x) be a complex function of a real variable, defined over the whole real line, which possesses n derivatives (the nth at least almost everywhere) and is such that . Then, if k is any integer for which 0< k < n, Kolmogoroff's inequality may be written as,or, by putting ,The constant K=K (k, n) known explicitly and is the best possible, i.e., there is a (real) function for which equality holds (see Bang [1]).

scholarly journals Some Remarks on the Self-Exponential Function: Minimum Value, Inverse Function, and Indefinite Integral

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
J. L. González-Santander ◽  
G. Martín
Keyword(s):  
Closed Form ◽  
Exponential Function ◽  
Real Function ◽  
Inverse Function ◽  
Real Variable ◽  
The Self ◽  
Series Expansions ◽  
Minimum Value ◽  
Indefinite Integral

Considering the function xx as a real function of real variable, what is its minimum value? Surprisingly, the minimum value is reached for a negative value of x. Furthermore, considering the function fβx=x-βx, β∈R and x>0, two different expressions in closed form for the inverse function fβ-1 can be obtained. Also, two different series expansions for the indefinite integral of fβ and fβ-1 are derived. The latter does not seem to be found in the literature.

The sense of presence in virtual environments:

2003 ◽  
Vol 15 (2) ◽  
pp. 69-71 ◽  
Author(s):  
Thomas W. Schubert
Keyword(s):  
Virtual Environments ◽  
Coding Theory ◽  
Model Building ◽  
Self Report ◽  
Survey Study ◽  
Spatial Presence ◽  
Component Structure ◽  
Sense Of Presence ◽  
Being There ◽  
Measure Sense

Abstract. The sense of presence is the feeling of being there in a virtual environment. A three-component self report scale to measure sense of presence is described, the components being sense of spatial presence, involvement, and realness. This three-component structure was developed in a survey study with players of 3D games (N = 246) and replicated in a second survey study (N = 296); studies using the scale for measuring the effects of interaction on presence provide evidence for validity. The findings are explained by the Potential Action Coding Theory of presence, which assumes that presence develops from mental model building and suppression of the real environment.

Dreamlike and Playful Virtual Environments to Inspire Children’s Divergent Thinking

2020 ◽  
pp. 1-11
Author(s):  
Jérôme Guegan ◽  
Claire Brechet ◽  
Julien Nelson
Keyword(s):  
Virtual Environments ◽  
Divergent Thinking ◽  
Idea Generation ◽  
Combined Processes ◽  
Office Environment ◽  
School Aged Children

Abstract. Computers have long been seen as possible tools to foster creativity in children. In this respect, virtual environments present an interesting potential to support idea generation but also to steer it in relevant directions. A total of 96 school-aged children completed a standard divergent thinking task while being exposed to one of three virtual environments: a replica of the headmistress’s office, a replica of their schoolyard, and a dreamlike environment. Results showed that participants produced more original ideas in the dreamlike and playful environments than in the headmistress’s office environment. Additionally, the contents of the environment influenced the selective exploration of idea categories. We discuss these results in terms of two combined processes: explicit references to sources of inspiration in the environment, and the implicit priming of specific idea categories.

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