Linear Sparse Differential Resultant Formulas

Let P be a system of n linear nonhomogeneous ordinary differential polynomials in a set U of n-1 differential indeterminates. Differential resultant formulas are presented to eliminate the differential indeterminates in U from P. These formulas are determinants of coefficient matrices of appropriate sets of derivatives of the differential polynomials in P, or in a linear perturbation Pe of P. In particular, the formula dfres(P) is the determinant of a matrix M(P) having no zero columns if the system P is ``super essential". As an application, if the system PP is sparse generic, such formulas can be used to compute the differential resultant dres(PP) introduced by Li, Gao and Yuan.

Assessment of problem solving in computing studies

The assessment of learning outcomes is a key concept in the European Credit Transfer and Accumulation System (ECTS) since credits are awarded when the assessment shows the competences which were aimed at have been developed at an appropriate level. This paper describes a study which was first part of the Bologna Experts Team-Spain project and then developed as an independent study. It was carried out with the overall goal to gain experience in the assessment of learning outcomes. More specifically it aimed at 1) designing procedures for the assessment of learning outcomes related to these compulsory generic competences; 2) testing some basic psychometric features that an assessment device with some consequences for the subjects being evaluated needs to prove; 3) testing different procedures of standard setting, and 4) using assessment results as orienting feedback to students and their tutors. The process of development of tests to carry out the assessment of learning outcomes is described as well as some basic features regarding their reliability and validity. First conclusions on the comparison of the results achieved at two academic levels are also presented.

Estudos comparativos sobre a elaboração de mapas conceituais durante processo de avaliação da aprendizagem: identificando a importância das demandas e do efeito de preparação

Os mapas conceituais são ferramentas gráficas que possibilitam a representação dos modelos mentais do aluno. Devido a essa capacidade, o mapa conceitual pode ser utilizado como ferramenta avaliativa de conhecimento. O uso dessa ferramenta em sala de aula gera cargas na memória de trabalho que podem ser referentes ao conteúdo (carga intrínseca) ou à forma como esse recurso está sendo trabalhado na sala de aula (carga extrínseca). Este trabalho tem por objetivo investigar como os mapas conceituais auxiliam na avaliação da aprendizagem da disciplina Ciências da Natureza: Ciência, Cultura e Sociedade ofertada na Universidade de São Paulo para alunos ingressantes de diversos cursos de graduação (n = 64) durante o período de 2013.1 sobre o conteúdo de Mudanças Climáticas. Nas turmas avaliadas o mapa conceitual poderia ser utilizado como ferramenta de preparação para prova (MCPREP) como também era utilizado como parte da avaliação formal da disciplina (MC-AVAL). Essa pesquisa se constitui de três Estudos que investigam: 1. As diferenças de perfis de mapas conceituais obtidos na condição de MC-PREP x MCAVAL; 2. Se o grupo de alunos que fizeram MC-PREP tiveram MC-AVAL com perfil diferente daqueles que não fizeram; 3. A existência de uma correlação entre as características do MC-AVAL com o conhecimento declarativo dos estudantes. Os mapas conceituais foram avaliados considerando aspectos estruturais e semânticos. As metodologias das análises realizadas foram retiradas de trabalhos presente na literatura. Entre os aspectos semânticos estavam o uso de materiais instrucionais, a natureza das proposições, a presença de erros e a aderência a pergunta focal. Além dessas análises, foi verificada a presença de agrupamentos naturais que pudessem ser explicados com uso das categorias teóricas. A análise dos resultados indica que os mapas conceituais das condições MC-PREP e MC-AVAL são bastante distintas entre si, pois atendiam a objetivos educacionais diferentes. No Estudo 2 verificou-se que o MC-PREP não influenciou fortemente a elaboração do MC-AVAL, pois a diminuição da carga extrínseca provocada pela elaboração de MC-PREP não foi suficiente para mostrar diferenças entre os grupos, já que ambos estavam altamente treinados na técnica de mapeamento conceitual. Por fim, no Estudo 3, o principal fator correlacionando o conhecimento declarativo com a complexidade dos mapas conceituais foi o percentual de proposições apropriadas. As conclusões do trabalho são que a demanda de elaboração do mapa conceitual é realmente orientadora de produto, a elaboração de um mapa conceitual a mais em um grupo bem treinado na técnica não altera seu desempenho e o principal meio de avaliar os mapas conceituais deve ser a leitura de suas proposições constituintes.

Entornos virtuales: predicción de la satisfacción en contexto universitario

El presente estudio persigue un doble objetivo: evaluar el grado de satisfacción de los estudiantes con la formación recibida en un entorno virtual y, analizar su capacidad predictiva sobre la satisfacción. Se ha utilizado la versión española del cuestionario Distance Education Learning Environments Survey (Sp-DELES). Los resultados ponen de manifiesto el significativo nivel de satisfacción de los estudiantes con la experiencia y revelan las variables más importantes a la hora de explicar la varianza en satisfacción.

Voronoi cells via linear inequality systems

The theory and methods of linear algebra are a useful alternative to those of convex geometry in the framework of Voronoi cells and diagrams, which constitute basic tools of computational geometry. As shown by Voigt and Weis in 2010, the Voronoi cells of a given set of sites T, which provide a tesselation of the space called Voronoi diagram when T is finite, are solution sets of linear inequality systems indexed by T. This paper exploits systematically this fact in order to obtain geometrical information on Voronoi cells from sets associated with T (convex and conical hulls, tangent cones and the characteristic cones of their linear representations). The particular cases of T being a curve, a closed convex set and a discrete set are analyzed in detail. We also include conclusions on Voronoi diagrams of arbitrary sets.

Lectures in abstract algebra.

v. 1. Basic concepts.--v. 2. Linear algebra.--v. 3. Theory of fields and Galois theory.

Scaffolding and bilingual shared reading experiences: Promoting primary school students' learning and development

This paper explores the connections between scaffolding, second language learning and bilingual shared reading experiences. A socio- cultural theory of cognition underpins the investigation, which involved implementing a language and culture awareness program (LCAP) in a year 4 classroom and in the school community. Selected passages from observations are used to analyse the learning of three students, particularly in relation to languages other than English (LOTE). As these three case study students interacted in the classroom, at home and in the community, they co-constructed, appropriated and applied knowledge form one language to another. Through scaffolding, social spaces were constructed, where students learning and development were extended through a variety of activities that involved active participation, such as experimenting with language, asking questions and making suggestions. Extending these opportunities for student learning and development is considered in relation to creating teaching and learning environments that celebrate socio-cultural and linguistic diversity.

Productive leaders and productive leadership: Schools as learning organisations

This paper draws on a three-year study of 24 schools involving classroom observations and interviews with teachers and principals. Through an examination of three cases, sets of leadership practices that focus on the learning of both students and teachers are described. This set of practices is called productive leadership and how these practices are dispersed among productive leaders in three schools is described. This form of leadership supports the achievement of both academic and social outcomes through a focus on pedagogy, a culture of care and related organizational processes. The concepts of learning organisations and teacher professional learning communities as ways of framing relationships in schools, in which ongoing teacher learning is complementary to student learning, are espoused.

Improving learning in undergraduate control engineering courses using context-based learning models

Control Engineering is an essential part of university electrical engineering education. Normally, a control course requires considerable mathematical as well as engineering knowledge and is consequently regarded as a difficult course by many undergraduate students. From the academic point of view, how to help the students to improve their learning of the control engineering knowledge is therefore an important task which requires careful planning and innovative teaching methods. Traditionally, the didactic teaching approach has been used to teach the students the concepts needed to solve control problems. This approach is commonly adopted in many mathematics intensive courses; however it generally lacks reflection from the students to improve their learning. This paper addresses the practice of action learning and context-based learning models in teaching university control courses. This context-based approach has been practised in teaching several control engineering courses in a university with promising results, particularly in view of student learning performances.

Measuring environmental education program impacts and learning in the field: Using an action research cycle to develop a tool for use with young students

Despite the increasing importance of, and interest in, documenting the impact of environmental education programs on students' learning for sustainability, few tools are currently available to measure young students' environmental learning across all the dimensions of knowledge, skills, attitudes and behaviours. This paper reports on the development of such a tool, using an iterative action research process with 134 students, aged six to eleven, attending programs at an Environmental Education Centre in Queensland. The resulting instrument, the Environmental Learning Outcomes Survey (ELOS) incorporates observations of students' engagement in learning processes as well as measuring learning outcomes, and allows both of these aspects to be linked to particular components of the environmental education program. Test data using the instrument are reported to illustrate its potential usefulness. It is envisaged that the refined instrument will enable researchers to measure student environmental learning in the field, investigate environmental education program impacts and identify aspects of programs that are most effective in facilitating student learning. [Author abstract]

The role of the learning community in the development of discipline knowledge and generic graduate outcomes

In this paper we describe a study of learning outcomes at a research-intensive Australian university. Three graduate outcome variables (discipline knowledge and skills, communication and problem solving, and ethical and social sensitivity) are analysed separately using OLS regression and comparisons are made of the patterns of unique contributions from four independent variables (the CEQ Good Teaching and Learning Communities Scales, and two new, independent, scales for measuring Teaching and Program Quality). Further comparisons of these patterns are made across the Schools of the university. Results support the view that teaching and program quality are not the only important determinants of students' learning outcomes. It is concluded that, whilst it continues to be appropriate for universities to be concerned with the quality of their teaching and programs, the interactive, social and collaborative aspects of students' learning experiences, captured in the notion of the Learning Community, are also very important determinants of graduate outcomes, and so should be included in the focus of attempts at enhancing the quality of student learning.

Promoting Learning for Sustainability: Principals' Perceptions of the Role of Outdoor and Environmental Education Centres

Outdoor and Environmental Education Centres provide programs that are designed to address a range of environmental education aims, and contribute broadly to student learning for sustainability. This paper examines the roles such Centres can play, and how they might contribute to the Australian Government’s initiative in relation to sustainable schools. Interviews with the principals of 23 such Centres in Queensland revealed three roles or models under which they operate: the destination model; the expert/advisor model; and the partnership model. Principals’ understandings of these roles are discussed and the factors that support or hinder their implementation are identified. It is concluded that while the provision of programs in the environment is still a vital role of outdoor and environmental education centres, these can also be seen as a point of entry to long-term partnerships with whole school communities.

A reflexive course for Masters students to understand and plan their own continuing professional development

Continuing Professional Development (CPD) is seen as a vital part of a professional engineer’s career, by professional engineering institutions as well as individual engineers. Factors such as ever-changing workforce requirements and rapid technological change have resulted in engineers no longer being able to rely just on the skills they learnt at university or can pick up on the job; they must undergo a structured professional development with clear objectives to develop further professional knowledge, values and skills. This paper presents a course developed for students undertaking a Master of Engineering or Master of Project Management at the University of Queensland. This course was specifically designed to help students plan their continuing professional development, while developing professional skills such as communication, ethical reasoning, critical judgement and the need for sustainable development. The course utilised a work integrated learning pedagogy applied within a formal learning environment, and followed the competency based chartered membership program of Engineers Australia, the peak professional body of engineers in Australia. The course was developed and analysed using an action learning approach. The main research question was “Can extra teaching and learning activities be developed that will simulate workplace learning?” The students continually assessed and reflected upon their current competencies, skills and abilities, and planed for the future attainment of specific competencies which they identified as important to their future careers. Various evaluation methods, including surveys before and after the course, were used to evaluate the action learning intervention. It was found that the assessment developed for the course was one of the most important factors, not only in driving student learning, as is widely accepted, but also in changing the students’ understandings and acceptance of the need for continuous professional development. The students also felt that the knowledge, values and skills they developed would be beneficial for their future careers, as they were developed within the context of their own professional development, rather than to just get through the course. © 2005, American Society for Engineering Education

Building learning communities to support beginning teachers use of technology

This paper reports on the early stages of a three year study that is investigating the impact of a technology-enriched teacher education program on beginning teachers' integration of computers, graphics calculators, and the internet into secondary school mathematics classrooms. Whereas much of the existing research on the role of technology in mathematics learning has been concerned with effects on curriculum content or student learning, less attention has been given to the relationship between technology use and issues of pedagogy, in particular the impact on teachers' professional learning in the context of specific classroom and school environments. Our research applies sociocultural theories of learning to consider how beginning teachers are initiated into a collaborative professional community featuring both web-based and face to face interaction, and how participation in such a community shapes their pedagogical beliefs and practices. The aim of this paper is to analyse processes through which the emerging community was established and sustained during the first year of the study. We examine features of this community in terms of identity formation, shifts in values and beliefs, and interaction patterns revealed in bulletin board discussion between students and lecturers.

A IMPORTÂNCIA DAS TICS E DA EDUCAÇÃO COMO PROCESSO COMUNICACIONAL DIALÓGICO NO ENSINO SUPERIOR: Um Estudo da Universidade Estadual de Mato Grosso do Sul

Esta tese teve por objetivo saber como o corpo docente da Universidade Estadual de Mato Grosso do Sul (UEMS) percebe, entende e reage ante a incorporação e utilização das Tecnologias de Informação e Comunicação (TICs) nos cursos de graduação dessa Instituição, considerando os novos processos comunicacionais dialógicos que elas podem proporcionar na sociedade atual. Metodologicamente, a tese é composta por pesquisa bibliográfica, buscando fundamentar as áreas da Educação e Comunicação, assim como a Educomunicação; pesquisa documental para contextualização do lócus da pesquisa e de uma pesquisa exploratória a partir da aplicação de um questionário online a 165 docentes da UEMS, que responderam voluntariamente. Verificou-se que os professores utilizam as TICs cotidianamente nas atividades pessoais e, em menor escala, nos ambientes profissionais. Os desafios estão em se formar melhor esse docente e oferecer capacitação continuada para que utilizem de forma mais eficaz as TICs nas salas de aula. Destaca-se ainda que os avanços em tecnologia e os novos ecossistemas comunicacionais construíram novas e outras realidades, tornando a aprendizagem um fator não linear, exigindo-se revisão nos projetos pedagógicos na educação superior para que estes viabilizem diálogos propositivos entre a comunicação e a educação. A infraestrutura institucional para as TICs é outro entrave apontado, tanto na aquisição como na manutenção desses aparatos tecnológicos pela Universidade. Ao final, propõe-se realizar estudos e pesquisas que possam discutir alterações nos regimes contratuais de trabalho dos docentes, uma vez que, para atuar com as TICs de maneira apropriada, exige-se mais tempo e dedicação do docente.