Lilian Akemi Kato

Quais Elementos Caracterizam uma Atividade de Modelagem Matemática na Perspectiva Sociocrítica

A Modelagem Matematica e apontada por diversos autores como uma das tendencias em Educacao Matematica que pode contemplar a formacao da cidadania por tratar, preferencialmente, de problemas advindos da realidade vivenciada pelos estudantes, propiciando a utilizacao de argumentos matematicos para sua interpretacao ou solucao. A perspectiva sociocritica da Modelagem e aquela que mais se identifica com esse proposito, contudo nao tem sido explicitada nos trabalhos que relatam atividades de Modelagem com tais caracteristicas. Embora diversos trabalhos apontem a presenca das caracteristicas gerais desta perspectiva, ela nao costuma ser destacada como referencia-chave no texto. Neste texto, propomos alguns elementos que caracterizam uma atividade de Modelagem Matematica, segundo a perspectiva sociocritica, tomando por base alguns referenciais teoricos publicados no Brasil sobre este tema, e utilizamos esses elementos para analisar todos os relatos de experiencia apresentados na VI Conferencia Nacional sobre Modelagem em Educacao Matematica segundo as caracteristicas construidas.

Determinação da entalpia de vaporização de líquidos pelo método do isoteniscópio de Smith e Menzies

This article proposes an experimental procedure to determine the enthalpy (and entropy) of vaporization of organic liquid compounds, by the Smith-Menzies (isoteniscope) method. The values of vapor pressure at different temperatures were obtained and ΔvH (and ΔvS) were graphically determined, using the Clausius-Clapeyron equation. The results for diethyl-ether, propanone, ethanol and n-hexane are in very good agreement with those from literature. A historical and thermodynamic discussion on equations that correlates vapor pressures and temperature precedes the experimental proposition.

AS DIFERENTES REPRESENTAÇÕES SEMIÓTICAS ELABORADAS POR CRIANÇAS DO ENSINO FUNDAMENTAL UTILIZANDO JOGOS DIGITAIS

Duval’s Semiotic Representations Theory was the guiding theoretical reference to the present research, which mainly focused on identifying the possible mental representations elaborated by first grade students of Elementary School, by means of records obtained in activities mediated by digital games. The data collection methods, carried out as a research at the Pedagogy undergraduate level as a requirement for graduation were video recordings and written registers produced by students. The data analysis identified the formulation and manifestation of mathematical concepts representations. The data were analyzed according to the methodology proposed by Henry (2006), under Duval’s theory (2003), and the results indicated that the registers presented by students had a close relationship with the competencies developed during the game and the resolution of written activities at the same category. Therefore, this research provides the study of situations involving students who must interpret and convert different types of semiotic representations in order to understand the complex process of mathematical concepts by children. Keywords: Mathematics teaching; Digital Games; Semiotic Representations. DOI: http://dx.doi.org/10.14244/19827199543

Atribuição de significados biológicos às variáveis da equação logística: uma aplicação do Cálculo nas Ciências Biológicas

This article presents, as a main objective, a methodological proposal for the teaching of Calculus in Biology courses. It highlights the attribution of biological meanings to variables and parameters in mathematical models within the study of population dynamics. Logistic equations have been used as a mathematical model that characterizes several types of population growth and other complexities of the biological phenomenon which may be better explained through mathematical concepts related to Differential Calculus. The relationship between Calculus and Biology may contribute towards the comprehension of complex biological phenomena that may be explained through simple mathematical equations.