A construction of integrated vertex operator in the pure spinor sigma-model in AdS(5) x S-5

Vertex operators in string theory me in two varieties: integrated and unintegrated. Understanding both types is important for the calculation of the string theory amplitudes. The relation between them is a descent procedure typically involving the b-ghost. In the pure spinor formalism vertex operators can be identified as cohomology classes of an infinite-dimensional Lie superalgebra formed by covariant derivatives. We show that in this language the construction of the integrated vertex from an unintegrated vertex is very straightforward, and amounts to the evaluation of the cocycle on the generalized Lax currents.

Logic TK: algebric notions from Tarski's consequence operator

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

The perspective of the teaching of arts projected by H. Gardner and the National Syllabus Parameters - (arts) of elementary school

In a concise way, the article reports part of the Master of Arts dissertation in Music entitled The meaning of the teaching of Arts in H. Gardner's perspective, presented in the IAUNESP [Arts Institute-State of Sao Paulo University] in 2008. Some considerations on the Statutory Law n. 11.769/08 were added to the original text. The produced research had an exploratory nature and a theoretical mark. Some texts by Howard Gardner, by the psychologist Eliane Leao, as well as the text of the National Syllabus Parameters-Art, from the Department of Elementary Education, served as a foundation for this article. The intended aim was to demonstrate to what extent the pedagogical proposition of the Arts Education projected by H. Gardner is similar to the one proposed by the National Syllabus Parameters, and which would the benefits be in this age group of an artistic sensitizing work for the development of the individual's personality.

Windows into Elementary Mathematics:Alternate public images of mathematics and mathematicians

Research on students’ (and teachers’) images of mathematics and mathematicians reveals a number of stereotypical images, most of which are negative. In this paper we present an overview of some these images and stereotypes and consider the questions: (1) how might the image of mathematics and mathematicians be a problem in mathematics education, and (2) what can be done to remedy the situation? Also, we consider an outreach project called Windows into Elementary Mathematics. In this project mathematicians are interviewed about their perspectives on elementary mathematics topics and their interviews are videotaped and are posted online, along with supporting images and interactive content. In this context we consider the questions: (3) what is the Windows project about, and (4) how might it offer an alternate (and perhaps better) image of mathematics and mathematicians? Lastly, we share an example where activities from the project were used in a math-for-teachers course.

Levels of phonological awareness, working memory, and lexical knowledge in elementary school children

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)