Now showing items 1-10 of 4160
Banality of mathematical expertise
Practices within research mathematics can and do serve as models for mathematics education. However, typically such inspirations impose a devastating narrowness in relation to reflections on mathematics. This narrowness I ...
Theoretical Dynamics of Experimental Populations of Introduced and Native Blowflies (Diptera: Calliphoridae)
Equilibrium dynamics in experimental populations of Chrysomya megacephala (F.) and C. putoria (Wiedemann), which have recently invaded the Americas, and the native species Cochliomyia macellaria (F.), were investigated ...
Basic ingredients for mathematical modeling of tumor growth in vitro: Cooperative effects and search for space
Based on the literature data from HT-29 cell monolayers, we develop a model for its growth, analogous to an epidemic model, mixing local and global interactions. First, we propose and solve a deterministic equation for the ...
Mathematics and crises
One can identify at least three different types of relationships between mathematics and crises. First, mathematics can picture a crisis. This is in accordance with the classic interpretation of mathematical modelling, ...
Expansive movements in the development of mathematical modeling: Analysis from an Activity theory perspective
This research was conducted during an online continuing education course for mathematics teachers, whose core focus was modeling and applications. We studied the interactions of one group of two teachers, who worked ...
Mathematical Modelling and Didactics Sequences: a relationship of complementarity
(Unesp-dept MathematicaRio ClaroBrasil, 2008)
Ordered phases in the extended Hubbard model
(Elsevier B.V., 1994-04-02)
A novel method to probe the diverse phases for the extended Hubbard model (EHM), including the correlated hopping term, is presented. We extend an effective medium approach  to a bipartite lattice, allowing for charge- ...
An in-depth analysis of the HIV-1/AIDS dynamics by comprehensive mathematical modeling
(PERGAMON-ELSEVIER SCIENCE LTDOXFORD, 2012)
This work presents major results from a novel dynamic model intended to deterministically represent the complex relation between HIV-1 and the human immune system. The novel structure of the model extends previous work by ...
Dynamics of change of mathematics education in Brazil and a scenario of current research
Mathematics education in Brazil, if we consider what one may call the scientific phase, is about 30 years old. The papers for this special issue focus mainly on this period. During these years, many trends have emerged in ...
The role of software Modellus in a teaching approach based on model analysis
We discuss some results of a study carried out over the past 4 years to investigate the role of Modellus, a software package, in the development of an approach to teaching calculus for Biology majors. The central idea of ...