João Cabral

University of the Azores | UAc · Maths Department

Satisfied customers are the main sustainability factor for the viability of any activity, and tourism has increasing relevance to the global economy and the economic development of many regions. In order to create better matches between tourist demands and preferences and the local supply, an understanding of tourists as decision makers is necessar...

Renewable forms of energy are increasingly penetrating the electricity market, particularly, geothermal energy. A wide range of resource temperatures and fluid quality are converted mostly using traditional binary power plants and, recently, using Climeon modular units. Portuguese natural geothermal resources are far from precise estimations. Despi...

Esta obra de divulgação científica aborda temas tão diversos como: Ciência dos dados, Estatística e Análise de dados, Antologia Matemática, Métodos de Ensino da Matemática, Codificação da Informação, Números e Cálculo Matemático. Tem como objetivo sensibilizar o público em geral para a importância da ciência na sociedade e estimular o interesse pel...

Mathematics develops numerous competences in children, namely stimulates discovery, develops autonomy, makes easier everyday life, that is, helps them in various activities, such as: counting coins and identifying the geometrical shapes of the objects. Mathematics even contributes to development of rationality in children and helps them to concentr...

Objetivo: Contribuir para a otimização da gestão dos recursos de turismo com base na integração das preferências dos turistas na modelação matemática Hipótese: A inclusão das preferências dos turistas nas ferramentas de apoio à tomada de decisão, permite melhorar a satisfação obtida durante a estadia no destino e a otimização da gestão dos recurso...

Este livro, de divulgação científica, contém seis capítulos cujos temas são tão diversos como: Estatística, uma aprendizagem para a vida; Quadrivium; Informática, comunicação e colaboração; Do número à revolução de um ensino aberto; Mentes Brilhantes da Matemática; A Fotografia e a Matemática.

ADAPTATION OF THE FLIPPED LEARNING SYSTEM TO THE B-LEARNING SYSTEM O. Dias Lopes Silva, J.A. Nunes, A.S. Toledo Sousa, J.M. Gonçalves Cabral University of Azores (PORTUGAL) The fb-learning system, presented in 2015, as shown in Cabral and Nunes (2015), now suffers one improvement that can be applied to all ways of teaching that have distant learn...

Tourism contributes to the development of many regions. Different factors affect the movement of tourists within a destination. Those factors are related to the tourist characteristics, like the time budgets, preferences or destination knowledge, and to the destination features, like the attraction characteristics or accessibility level. Tourist de...

Tourism is one of the activities with high benefits on the development and for many regions, enabling the integration of local populations and economies. In our natural laboratory, the Azores Island of São Miguel, an important share of tourists identifies adventure, leisure and touch with nature, as the main reasons for the visit. The use of footpa...

In memory of our beloved Professor José Rodrigues Santos de Sousa Ramos (1948-2007), who João Cabral, one of the authors of this paper, had the honour of being his student between 2000 and 2006, we wrote this paper following the research by experimentation, using the new technologies to capture a new insight about a problem, as him so much love to...

In this paper we explore the importance of analyzing the exercises that the manuals have in Mathematics study, because the difficulty of identifying some errors on them can interfere with the capabilities of children. We work with some exercises related to the theme of temporal notions, based on a survey of textbooks from the 1st and 2nd grade (K-1...

On this work we suggest a teaching solution that can be implemented in Azores, an archipelago of nine islands of Portugal, based in already known system of e-learning, with a twist based on the flipped method. Structured in a cooperative way, the organization of the system allows to isolated groups of people to have access to a certain level of tea...

This work is a small, but strong, contribute to understand better the behavior, under iteration, of the Real Rational Map, f(x)=(x²-a)/(x²-b), with 0<b<a<1, with a and b real parameters. So, we show in this work how to choose some suitable regions of the parameter space (a,b), that allows a controlled and efficient study of this kind of maps, using...

The process of planning and selection of touristic points and activities, that a tourist can enjoy for a certain period of time in a place, can increase their levels of satisfaction, only if the offering network, that supports the touristic products, is oriented to the optimization of its use. This optimization is reliant of several criteria and mu...

The Game of the Parallel is a practice result of a study of the Desargues’s theorem and Fagnano’s and Malfatti’s problems, using different geometries, which is included in a master’s degree for teachers. Recognizing the potential that the game may have in context of the classroom and outside it, the creation of a game was, from the beginning, the w...

The Treason Game had its debut in the Recreational Mathematics Colloquium II, and now it is played in High Schools by students. But it is always a game in continuous evolution due to its richness in strategies and direct application to the teaching of isometries in Schools. We present the study, exploration and discussion of some strategies used by...

The importance of symbolic systems is that they give us the possibility of simplifying some dynamical systems. Our expectations is that our work can help to understand better the behavior, under iteration, of the Real Rational Map, f(x)=(x²-a)/(x²-b), with 0<b<a<1. Kneading Theory is a powerful tool, and we use it to simplify processes arising from...

The introduction of advanced scientific modules to support teaching has an important fundamental in mathematics education. But this kind of introduction collides with the lack of time that the teachers of High School have to develop new strategies and implement them, because they are attached, in Portugal, to a bureaucratic machine that consumes va...

The global market advent, with consumers, that requires speed, quality of service and respect for the environment came to dictate the change of some imposed paradigms. We are seeing the integration of internal and external supply chains following the customers concerns about the environment and social friendly processes, making it sustainable. The...

This work is an attempt to study the dynamics of real rational maps f ab (x) = (x 2 - a) / (x 2 - b), using symbolic dynamics. It is given an example that illustrates how the topological entropy can be calculated using kneading theory and Markov partitions in this family of rational maps.

The global market advent, with consumers, that requires speed, quality of service and respect for the environment came to dictate the change of some imposed paradigms. We are seeing the integration of internal and external supply chains following the customers concerns about the environment and social friendly processes, making it sustainable. The...

O surgimento do mercado global com consumidores que exigem rapidez, qualidade de serviços e respeito pelo meio ambiente veio ditar a alteração dos paradigmas instituídos. Assiste-se à integração interna e externa das cadeias de abastecimento e à aposta em processos respeitadores do meio ambiente e das preocupações sociais dos seus clientes, tornand...

Como é apresentado em Casaca e Marlow (2005), o surgimento do mercado global com consumidores que exigem rapidez, qualidade de serviços e respeito pelo meio ambiente veio ditar a alteração dos paradigmas instituídos. Assiste-se à integração interna e externa das cadeias de abastecimento e à aposta em processos respeitadores do meio ambiente e das p...

Sometimes the student only needs the teacher fires the spark that ignites a whole new set of ideas and will to do something different, giving their own contribution to the development of new concepts in knowledge. The author in this article shows how a simple discipline of Informatics for Tourism, with sometimes boring concepts to the students, wi...

Using the Numerical Range Theory we make some interesting observations about the behavior of the dynamics of the family of rational function f λ (x) given by $$\displaystyle{f_{\uplambda }(x) = 1 - \frac{2\uplambda } {{x}^{2} + \uplambda - 4}}$$ in the neighborhood of the bifurcation point.

A problem which arises quite often is that, given a set of n individuals, is to build a group of individual classes or subgroups so that every subgroup is internally homogeneous (ie is composed of individuals "similar") and that the various subgroups are heterogeneous among themselves (ie is, individuals from different subgroups are "dissimilar")....

Um orientador de um trabalho científico, que conduz usualmente a uma defesa pública perante um júri, desde a fase inicial, da estruturação do trabalho, à fase final, da apresentação e defesa pública, usa frequentemente uma avaliação qualitativa nas várias etapas de progresso do aluno. Esta avaliação qualitativa dilui-se, muitas vezes, no sucesso do...

A introdução de módulos científicos avançados para suportar a didática tem uma importância fundamental no ensino da Matemática. Mas esta necessidade esbarra com a falta de tempo que os professores têm para desenvolver estratégias novas e implementa-las, já que ficam presos a uma máquina burocrática que consome tempo precioso, que poderia ser invest...

Predominance is a new strategy game for two-player played on a Penrose’s tiling board with a time control. This game is played in two stages. The first stage is the position of the seventy two pieces. The pieces are divided into white and black sets, that are gone placing alternatingly by rules. Each set has four commanders, six knights, ten soldie...

Treason is a two player game played with the usual rules of the checkers game, but played in a different board, with the needed adaptations. Instead of squares we have triangles, and the initial position of the pieces is similar to the checkers game. The board has also in the main diagonal a free battle zone that allows the players to diversify the...

Sometimes we obtain attractive results when associating facts to simple elements. The goal of this work is to introduce a possible alternative in the study of the dynamics of rational maps. In this study we use the family of maps f(x)=x 2 -a x 2 -b, making some associations with the matrix A=1-a1-b of its coefficients. Calculating the numerical ran...

Sometimes we obtain attractive results when associating facts to simple elements. The goal of this work is to introduce a possible alternative in the study of the dynamics of rational maps.