O ensino do conceito de integral, em sala de aula, com recursos da história da matemática e da resolução de problemas

Pós-graduação em Educação Matemática - IGCE

Processos de visualização e representação de conceitos de cálculo diferencial e integral com um software tridimencional

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Aspectos conceituais e instrumentais do conhecimento da prática do professor de cálculo diferencial e integral no contexto das tecnologias digitais

Pós-graduação em Educação Matemática - IGCE

O ensino do cálculo diferencial e integral na Escola Politécnica de São Paulo, no ano de 1904: uma análise documental

Pós-graduação em Educação Matemática - IGCE

Modelagem matemática no processo ensino-aprendizagem do cálculo diferencial e integral para o ensino médio

Pós-graduação em Educação Matemática - IGCE

Prof. J.O. Monteiro de Camargo e o ensino de cálculo diferencial e integral e de análise na Universidade de São Paulo

Pós-graduação em Educação Matemática - IGCE

Dimensões teórico-metodológicas do cálculo diferencial e integral: perspectivas histórica e de ensino e aprendizagem

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Cálculo diferencial e integral no movimento dos planetas

Pós-graduação em Matemática em Rede Nacional - IBILCE

Introdução a noções de cálculo diferencial e integral no ensino médio no contexto das TIC: implicações para prática do professor que ensina matemática

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uma abordagem didático-pedagógica do cálculo diferencial e integral I na formação de professores de matemática

Pós-graduação em Educação Matemática - IGCE

Diagnóstico dos casos de aprovação nas disciplinas de cálculo diferencial e integral I e II do curso de licenciatura em química - Unesp de Araraquara

Studies show that the disciplines of differential and integral calculus have high failure rates in all schools where they are present and, although this problem has been accentuated in recent years, it is not a local phenomenon. It's observed since 1970s in various Institutions of higher education in Brazil. These studies seek to understand the causes of failures and proposals for teaching methodology that aims to help reduce these rates. However, there is a large contingent of students who are successful at the first time that they perform these disciplines. And these cases, although they have not been studied, can contribute greatly to the understanding the aspects that are related to learning of them. And this understanding can lead to attitudes and learning and teaching methodologies that promote the expansion of this success. The fact that these subjects also have high failure rates in the Degree in Chemistry of this Institute, this study aimed to investigate the factors that were relevant to the cases for approval of the students performed for the first time. For this we constructed a questionnaire containing objective questions and open answers. The objective sought to diagnose the profile of these students with regard to age, gender, basic education (elementary and middle school), study habits, concurrent activities, among others. These questions were analyzed using simple statistics. The open-ended questions asked students to indicate that they attribute the success obtained in the disciplines and to suggest modes of study. These questions were analyzed using thematic categorization, a method of content analysis. This questionnaire was completed, voluntarily and without identification, by students who have passed the first time attended the courses Calculus I and/ or Calculus II and had never started another college prior to this. The results indicate that the most relevant factors in this process were dedication and correct habits...

Differential calculus and integration of generalized functions over membranes

In this paper we continue the development of the differential calculus started in Aragona et al. (Monatsh. Math. 144: 13-29, 2005). Guided by the so-called sharp topology and the interpretation of Colombeau generalized functions as point functions on generalized point sets, we introduce the notion of membranes and extend the definition of integrals, given in Aragona et al. (Monatsh. Math. 144: 13-29, 2005), to integrals defined on membranes. We use this to prove a generalized version of the Cauchy formula and to obtain the Goursat Theorem for generalized holomorphic functions. A number of results from classical differential and integral calculus, like the inverse and implicit function theorems and Green's theorem, are transferred to the generalized setting. Further, we indicate that solution formulas for transport and wave equations with generalized initial data can be obtained as well.

Introduction to the calculus,

"A revision of the author's A first course in the differential and integral calculus."--Pref.

Introduction to the calculus,

"A revision of the author's A first course in the differential and integral calculus."--Pref.

Calculus, with analytic geometry.

Includes index.