ISCAP - Matemática - Livro, parte de livro, ou capítulo de livro
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- MatActiva Project – A mathematical dynamic environment to engage students in the learning processPublication . Torres, Cristina; Lopes, Ana Paula; babo, lurdes; Azevedo, Jose ManuelSeveral studies report that mathematical subjects have high failure rates from earlier grades to higher education. Nowadays, higher education institutions are facing many unprepared students with regard to the mathematical skills. Although students avoid mathematical courses, yet science, technology, engineering and mathematics fields keep among the job-growth areas. Aware of this reality, in 2007, a group of Mathematics lecturers from ISCAP (Institute of Accounting and Administration of Porto) started the development of an online project on the Moodle platform called, MatActiva. This project arose as a need to improve learning and increase the levels of success in the first years Mathematic courses. It aims to enhance mathematics education, creating a learning environment aligned with real needs of the students, in which they can learn at their own pace, motivating and encouraging them to overcome the difficulties, and giving them more confidence. It is a whole learning environment that provides innovative resources and carefully constructed materials (e.g. video-lectures, multiple-choice tests, challenges) on topics such as Elementary Mathematics, Calculus, Algebra, Statistics and Financial Mathematics. Nowadays, it is supported by several math lecturers and ERASMUS students. Throughout the development of the project some challenges were found and gradually exceeded. One of them is related with mathematical symbols and the TeX language. Another problem concerns the construction of good multiple-choice questions and how to obtain a good bank of questions. Many doubts also arose when we began producing video-lectures in 2009 as there was little information about that. The project´s success is measured by platform usage´s volume and student´s engagement using learning analytics tools and by student´s opinion, regularly inquired during the project. In addition to continuous improvement of the materials, we plan the development of an app for smartphones and switch to a more recent Moodle version with further capabilities and tools.
- Measures in Sectorization ProblemsPublication . Rodrigues, Ana Maria; Soeiro Ferreira, JoséSectorization means dividing a whole into parts (sectors), a procedure that occurs in many contexts and applications, usually to achieve some goal or to facilitate an activity. The objective may be a better organization or simplification of a large problem into smaller sub-problems. Examples of applications are political districting and sales territory division. When designing/comparing sectors some characteristics such as contiguity, equilibrium and compactness are usually considered. This paper presents and describes new generic measures and proposes a new measure, desirability, connected with the idea of preference.
- Sectors and routes in solid waste collectionPublication . Rodrigues, Ana Maria; Soeiro Ferreira, JoséCollecting and transporting solid waste is a constant problem for municipalities and populations in general. Waste management should take into account the preservation of the environment and the reduction of costs. The goal with this paper is to address a real-life solid waste problem. The case reveals some general and specific characteristics which are not rare, but are not widely addressed in the literature. Furthermore, new methods and models to deal with sectorization and routing are introduced, which can be extended to other applications. Sectorization and routing are tackled following a two-phase approach. In the first phase, a new method is described for sectorization based on electromagnetism and Coulomb’s Law. The second phase addresses the routing problems in each sector. The paper addresses not only territorial division, but also the frequency with which waste is collected, which is a critical issue in these types of applications. Special characteristics related to the number and type of deposition points were also a motivation for this work. A new model for a Mixed Capacitated Arc Routing Problem with Limited Multi-Landfills is proposed and tested in real instances. The computational results achieved confirm the effectiveness of the entire approach.