Structuralism and the Applicability of Mathematics

In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.

Representation and analysis of soccer players' actions using principal components

This paper proposes the use of the Principal Components Analysis (PCA) method to represent and to analyse soccer players' actions distribution in the pitch. The seven games of the Brazilian National Team during the 2002 World Cup were analysed. The player's position actions were measured from videotapes in a computer interface. The results were: a) the graphical representation, given by two orthogonal segments in the two directions of maximal variability and centred at the mean of each player's actions position; b) the eccentricity measurement, given by the variability ratio and c) the actions zone area, given by variability product. The results showed that the individual characteristics of acting were well represented by the PCA, allowing comparisons among games and providing insights related to the tactical organisation of the team.

On the construction and labelling of geometrically uniform signal sets in ℤ2 matched to additive quotient groups

We establish the conditions under which it is possible to construct signal sets satisfying the properties of being geometrically uniform and matched to additive quotient groups. Such signal sets consist of subsets of signal spaces identified to integers rings ℤ[i] and ℤ[ω] in ℤ2. © 2008 KSCAM and Springer-Verlag.

Professores-multiplicadores: uma maneira de organizar a formação de professores de matemática para o uso da informática na escola

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Linguagem e educação matemática: um mapeamento de usos na sala de aula

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Role playing game eletrônico: uma tecnologia lúdica para aprender e ensinar matemática

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Projetos em geometria analítica usando software de geometria dinâmica: repensando a formação inicial docente em matemática

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A resolução de problemas na licenciatura em Matemática: análise de um processo de formação no contexto do estágio curricular supervisionado

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

THREE TIME SCALE SINGULAR PERTURBATION PROBLEMS AND NONSMOOTH DYNAMICAL SYSTEMS

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

As contribuições dos jogos para o desenvolvimento e aprendizagem da matemática em crianças da pré-escola

This research aimed do verify the contribution of the games of rules to the development and learning of the mathematics of a philantropic institution for preschool children – Centro de Educação Infantil Santo Antônio (CEISA) - from March to September 2010. The overall universe comprehends one teacher, one class auxiliary, one trainee, the organization teaching coordinator and twenty six students. The main objective was to explore games as a strategic resource for the development and learning, by searching auxiliary contributions for teaching the mathematics, and ways to wake and keep the interest of the students for the games as tools of development and learning; to identify important points for such development and learning by using games; to detect the difficulties of the students in the process of teaching-learning mathematics; to use games as a moment for fun; to show the teachers the possibilities of using ludic materials as methodic resources and to make interventions, by means of the games, to enhance the process of teaching-learning the matematics, through a qualitative approach, using the interview as instrument by means of an observation and study of case

A note on units of finite local rings in an ascending chain

In this paper we present matrices over unitary finite commutative local rings connected through an ascending chain of containments, whose elements are units of the corresponding rings in the chain such that the McCoy ranks are the largest ones.

Some considerations about cohomology of finite groups

In this work we present some considerations about cohomology of finite groups. In the first part we use the restriction map in cohomology to obtain some results about subgroups of finite index in a group. In the second part, we use Tate cohomology to present an application of the theory of groups with periodic cohomology in topology.