Collectives of humans-with-media in mathematics education: Notebooks, blackboards, calculators, computers and ... notebooks throughout 100 years of ICMI

The main aim of this study was to present evidence of the ways in which different media have conditioned and dramatically reorganized education, in general, and mathematics education, in particular. After an introduction of the theme, we discuss the epistemological perspective that provides the foundation for our analysis: the notion of humans-with-media. Then, we briefly illustrate how the medium is related to the scientific production of mathematical knowledge. We take a detour into the world of art to examine how devices and instruments have historically been associated with the production of mathematical knowledge. Then, we review studies on the history of education to show how traditional media were introduced into schools and have influenced education. In particular, we examine how devices such as blackboards and notebooks, which were novelties a 100 years ago, came to be accepted in schools and the mathematical activities that were promoted with their use. Finally, we discuss how information technology has changed education and how the Internet may have an impact on mathematics education comparable to that of the notebook over a century ago. © FIZ Karlsruhe 2009.

PRACTICAL LAND GRADING BASED ON LEAST SQUARES.

Practical methods for land grading design of a plane surface for rectangular and irregularly shaped fields based on a least squares analysis are presented. The least squares procedure leads to a system of three linear equations with three unknowns for determination of the best-fit plane. The equations can be solved by determinants (Cramer's rule) using a procedure capable of solution by many programmable calculators. The detailed computational process for determining the equation of the plane and a simple method to find the centroid location of an irregular field are also given. An illustrative example and design instructions are included to demonstrate the application of the design procedure.

A investigação do teorema fundamental do cálculo com calculadoras gráficas

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Representações dos números racionais e a medição de segmentos: possibilidades com tecnologias informáticas

Pós-graduação em Educação Matemática - IGCE

Explorando conexões entre a matemática e a física com o uso da calculadora gráfica e do CBL

Pós-graduação em Educação Matemática - IGCE

Uso de calculadoras em aulas de matemática: o que os professores pensam

Pós-graduação em Educação Matemática - IGCE

Uso didático da calculadora no ensino fundamental: possibilidades e desafios

Pós-graduação em Educação - FFC

Aplicações da função logarítmica em sala de aula no ensino médio: uma proposta de solução de problemas pela transposição para a linguagem matemática

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)