Avaliação da gestão curricular da matemática : cursos profissionais III

No mundo do trabalho, designadamente na indústria, acentua-se o défice de competências matemáticas nos profissionais da indústria, particularmente a Modelação Matemática, facto que constitui uma preocupação crescente à escala mundial e, obviamente, do sistema educativo português e da comunidade matemática nacional. Este défice é justificado pela falta de formação dos professores em contexto industrial e, de acordo com a National Council of Teachers of Mathematics, pela incapacidade que muitos docentes têm em apresentar a Matemática aplicada a situações laborais. Face à relevância social, económica e política da problemática descrita, centrou-se o presente estudo na Avaliação da Gestão Curricular da Matemática nos Cursos Profissionais de nível III do ensino secundário em Portugal, com enfoque na Modelação Matemática que, segundo os referentes internacionais, é simultaneamente uma competência e uma metodologia de ensino promotora do desenvolvimento de competências matemáticas nos profissionais da indústria. No contexto da gestão do currículo da Matemática para os cursos profissionais de nível III em escolas secundárias portuguesas, desenvolveu-se o presente estudo para se responder à questão de investigação: Em que medida a gestão curricular da Matemática, instituída, intencional e implementada nos cursos profissionais de nível III contempla situações-problema, suscetíveis de promover o desenvolvimento de competências no aluno, relevantes para o seu desempenho profissional? Construiu-se um referencial de avaliação, centrado na dimensão ecológica, segundo o modelo teórico Enfoque Ontosemiótico, abarcando um conjunto de sub-dimensões sobre as quais foram definidos critérios e respetivos indicadores. De realçar, ainda, que o referencial, além de ter servido de instrumento de avaliação da gestão curricular da Matemática nos cursos profissionais de nível III do ensino secundário, serviu, também, como guia orientador no desenho das sete situações-problema de natureza de Modelação Matemática no estudo de funções. O enquadramento metodológico do presente estudo assentou no método Estudo de Caso. Para analisar o caso, selecionaram-se sete unidades integradas de análise, a saber: a gestão curricular da Matemática de cada um dos seis professores participantes e a gestão curricular da Matemática instituída pelos normativos oficiais (programa da componente de formação científica da disciplina de Matemática para os cursos profissionais). Para a análise dos dados empíricos, respeitantes à gestão instituída, recorreuse à análise de conteúdo e teve essencialmente como propósito avaliar em que medida as orientações curriculares, emanadas no Programa da componente de formação científica disciplina de Matemática para os cursos profissionais de nível III, estão em conformidade com os referenciais teóricos. Sequencialmente, a operacionalização da avaliação intencional consubstanciou-se nos planos das aulas cedidos previamente a cada observação. A análise de conteúdo, como técnica de tratamento dos dados empíricos, foi a forma de se aceder às intenções de cada professor participante no estudo. A observação de aulas sucedeu à avaliação do plano de aula, constituindo a forma de avaliar in loco a gestão curricular da Matemática implementada, permitindo avaliar a coerência das observações com as intenções expressas nas planificações. Os registos das observações foram concretizados sob a forma de notas de campo que incluem uma componente descritiva e outra reflexiva que se dirigem para a análise dos dados empíricos recolhidos. Em termos de resultados, a avaliação da gestão curricular instituída foi reveladora de que o postulado pelos referentes para o desenvolvimento de competências tem a sua representação nas orientações curriculares expressas no Programa da componente de formação científica da disciplina de Matemática para os cursos profissionais de nível III. Contrariamente, a gestão curricular da Matemática pelos professores participantes revelou-se muito condicionada ao cumprimento dos conteúdos propostos pelo programa da disciplina. Por conseguinte, a gestão curricular da Matemática por competências, enfatizada no Programa (gestão instituída), encontrou, neste estudo, pouca tradução na gestão curricular intencional e implementada dos professores participantes, na medida em que a mesma não refletiu uma articulação com a componente de formação técnica do curso, visando uma metodologia proactiva no desenho de situações-problema promotoras de desenvolver, nos alunos, competências profícuas para a sua profissão, nomeadamente a Modelação Matemática. De salientar, ainda, que uma percentagem muito significativa de situações-problema propostas pelos professores não são, no geral, pertinentes para os respetivos cursos, não sendo, neste sentido, promotoras do estabelecimento de ligação com a futura performance profissional dos alunos. Tal lacuna parece ter resultado da ausência de trabalho colaborativo entre os professores de Matemática e os restantes docentes que constituem a equipa formativa do curso, lacuna que dificulta a articulação e coordenação em prol de um ensino contextualizado, ou ainda pela ausência de formação contínua pelos professores, no âmbito de temáticas inerentes à gestão curricular a cursos profissionais.

¿Cómo estudiantes para profesor de matemáticas comprenden el aprendizaje del límite de una función?

En este estudio presentamos una investigación que tiene como objetivo generar información sobre cómo estudiantes para profesor de educación secundaria (EPS) comprenden el proceso de aprendizaje de las matemáticas. El contexto que hemos utilizado es la actividad de anticipar respuestas de los estudiantes de Bachillerato que reflejen diferentes niveles de desarrollo conceptual de la comprensión del concepto de límite de una función, como una actividad relevante vinculada a la competencia docente. Los resultados muestran dos formas distintas de considerar la comprensión del concepto de límite por parte de los EPS que tienen implicación sobre cómo anticipan las respuestas de los estudiantes y sobre las características de los problemas que plantean para apoyar el aprendizaje de la concepción dinámica de límite de los estudiantes.

Emergency skill training--a randomized controlled study on the effectiveness of the 4-stage approach compared to traditional clinical teaching

The "4-stage approach" has been widely accepted for practical skill training replacing the traditional 2 stages ("see one, do one"). However, the superior effectiveness of the 4-stage approach was never proved.

A two-year experience teaching computer literacy to first-year medical students using skill-based cohorts

Because it is widely accepted that providing information online will play a major role in both the teaching and practice of medicine in the near future, a short formal course of instruction in computer skills was proposed for the incoming class of students entering medical school at the State University of New York at Stony Brook. The syllabus was developed on the basis of a set of expected outcomes, which was accepted by the dean of medicine and the curriculum committee for classes beginning in the fall of 1997. Prior to their arrival, students were asked to complete a self-assessment survey designed to elucidate their initial skill base; the returned surveys showed students to have computer skills ranging from complete novice to that of a systems engineer. The classes were taught during the first three weeks of the semester to groups of students separated on the basis of their knowledge of and comfort with computers. Areas covered included computer basics, e-mail management, MEDLINE, and Internet search tools. Each student received seven hours of hands-on training followed by a test. The syllabus and emphasis of the classes were tailored to the initial skill base but the final test was given at the same level to all students. Student participation, test scores, and course evaluations indicated that this noncredit program was successful in achieving an acceptable level of comfort in using a computer for almost all of the student body.

Fine Motor Skill Interventions for Teaching Handwriting

On my poster board I will display various samples of my student's writing to demonstrate their improved abilities due to my physical hand exercise.

Improving speaking skill in the students of third, fifth and seventh levels at la salle languajes center (clus)through teaching technques such as : Role playing, student' presentations, games and grouppair word

Tesis (Licenciado en Lenguas Castellana, Inglés y Francés).--Universidad de La Salle. Facultad de Ciencias de La Educación. Licenciatura en Lengua Castellana, Inglés y Francés, 2013

Nonlinear pedagogy : implications for teaching games for understanding (TGfU)

Nonlinear Dynamics, provides a framework for understanding how teaching and learning processes function in Teaching Games for Understanding (TGfU). In Nonlinear Pedagogy, emergent movement behaviors in learners arise as a consequence of intrinsic self-adjusted processes shaped by interacting constraints in the learning environment. In a TGfU setting, representative, conditioned games provide ideal opportunities for pedagogists to manipulate key constraints so that self-adjusted processes by players lead to emergent behaviors as they explore functional movement solutions. The implication is that, during skill learning, functional movement variability is necessary as players explore different motor patterns for effective skill execution in the context of the game. Learning progressions in TGfU take into account learners’ development through learning stages and have important implications for organisation of practices, instructions and feedback. A practical application of Nonlinear Pedagogy in a national sports institute is shared to exemplify its relevance for TGfU practitioners.

How current pedagogy methods in games teaching in the UK, Australia and the US have been shaped by historical, socio cultural, environmental and political constraints

Crucial to enhancing the status and quality of games teaching in schools is a developed understanding of the teaching strategies adopted by practitioners. In this paper, we will demonstrate that contemporary games‟ teaching is a product of individual, task and environmental constraints (Newell, 1986). More specifically, we will show that current pedagogy in the U.K., Australia and the United States is strongly influenced by historical, socio-cultural environmental and political constraints. In summary, we will aim to answer the question „why do teachers teach games the way they do.‟ In answering this question, we conclude that teacher educators, who are trying to influence pedagogical practice, must understand these potential constraints and provide appropriate pre-service experiences to give future physical education teachers the knowledge, confidence and ability to adopt a range of teaching styles when they become fully fledged teachers. Essential to this process is the need to enable future practitioners to base their pedagogical practice on a sound understanding of contemporary learning theories of skill acquisition.

Teaching and Learning Entrepreneurship for Micro and Small Businesses in the Cultural Industries Sector

Reports on an ESRC-funded, in-depth qualitative research project into 50 micro and small enterprises (MSEs) in the cultural industries. Our evidence sheds light on the extent to which the teaching and learning strategies adopted by higher education, further education and other VET providers are effective in providing entrepreneurship education and training for this innovative, high skill sector. Our findings suggest that entrepreneurs in this sector learn best by being able to experiment with ideas, by “doing” and networking with others and by working with more experienced mentors in their sector. The article concludes by suggesting a more “naturalistic” approach to teaching and learning entrepreneurship for micro and small businesses in the cultural industries sector.

A constraints-led perspective to understanding skill acquisition and game play: A basis for integration of motor learning theory and physical education praxis?

Background: In order to design appropriate environments for performance and learning of movement skills, physical educators need a sound theoretical model of the learner and of processes of learning. In physical education, this type of modelling informs the organization of learning environments and effective and efficient use of practice time. An emerging theoretical framework in motor learning, relevant to physical education, advocates a constraints-led perspective for acquisition of movement skills and game play knowledge. This framework shows how physical educators could use task, performer and environmental constraints to channel acquisition of movement skills and decision making behaviours in learners. From this viewpoint, learners generate specific movement solutions to satisfy the unique combination of constraints imposed on them, a process which can be harnessed during physical education lessons. Purpose: In this paper the aim is to provide an overview of the motor learning approach emanating from the constraints-led perspective, and examine how it can substantiate a platform for a new pedagogical framework in physical education: nonlinear pedagogy. We aim to demonstrate that it is only through theoretically valid and objective empirical work of an applied nature that a conceptually sound nonlinear pedagogy model can continue to evolve and support research in physical education. We present some important implications for designing practices in games lessons, showing how a constraints-led perspective on motor learning could assist physical educators in understanding how to structure learning experiences for learners at different stages, with specific focus on understanding the design of games teaching programmes in physical education, using exemplars from Rugby Union and Cricket. Findings: Research evidence from recent studies examining movement models demonstrates that physical education teachers need a strong understanding of sport performance so that task constraints can be manipulated so that information-movement couplings are maintained in a learning environment that is representative of real performance situations. Physical educators should also understand that movement variability may not necessarily be detrimental to learning and could be an important phenomenon prior to the acquisition of a stable and functional movement pattern. We highlight how the nonlinear pedagogical approach is student-centred and empowers individuals to become active learners via a more hands-off approach to learning. Summary: A constraints-based perspective has the potential to provide physical educators with a framework for understanding how performer, task and environmental constraints shape each individual‟s physical education. Understanding the underlying neurobiological processes present in a constraints-led perspective to skill acquisition and game play can raise awareness of physical educators that teaching is a dynamic 'art' interwoven with the 'science' of motor learning theories.

Journalism education dilemmas : career-focussed skill set, teamwork or critical thinking?

In Australian universities, journalism educators usually come to the academy from the journalism profession and consequently place a high priority on leading students to develop a career-focussed skill set. The changing nature of the technological, political and economic environments and the professional destinations of journalism graduates place demands on journalism curricula and educators alike. The profession is diverse, such that the better description is of many ‘journalisms’ rather than one ‘journalism’ with consequential pressures being placed on curricula to extend beyond the traditional skill set, where practical ‘writing’ and ‘editing’ skills dominate, to the incorporation of critical theory and the social construction of knowledge. A parallel set of challenges faces academic staff operating in a higher education environment where change is the only constant and research takes precedent over curriculum development. In this paper, three educators at separate universities report on their attempts to implement curriculum change to imbue graduates with better skills and attributes such as enhanced team work, problem solving and critical thinking, to operate in the divergent environment of 21st century journalism. The paper uses narrative case study to illustrate the different approaches. Data collected from formal university student evaluations inform the narratives along with rich but less formal qualitative data including anecdotal student comments and student reflective assessment presentations. Comparison of the three approaches illustrates the dilemmas academic staff face when teaching in disciplines that are impacted by rapid changes in technology requiring new pedagogical approaches. Recommendations for future directions are considered against the background or learning purpose.

Enhancing the teaching of family and consumer sciences : the role of graphic organisers

In a world of constant and rapid change there are greater demands placed on learners to not only gain content knowledge, but also to develop learning skills and to adopt new strategies that will enable them to produce better and faster learning outcomes. Especially in internationally advancing nations like Kuwait this will be a major challenge of the future. This literature review examines theoretical frameworks that enhance Kuwaiti teachers’ knowledge and skill to adopt culturally relevant reform practices across a number of disciplines and provide guidance in an exploration and use of newer pedagogical tools like graphic organisers. It analyses the effects of graphic organisers on higher order learning and evaluates how they can effect professional development and pedagogical change in Kuwait.

Assembling dynamic repertoires of literate practices : teaching that makes a difference

This chapter considers how teachers can make a difference to the kinds of literacy young people take up. Increasingly, researchers and policy-makers see literacy as an ensemble of socio-cultural situated practices rather than as a unitary skill. Accordingly, the differences in what young people come to do with literacy, in and out of school, confront us more directly. If literacy development involves assembling dynamic repertoires of practices, it is crucial to consider what different groups of children growing up and going to school in different places have access to and make investments in over time; the kinds of literate communities from which some are excluded or included; and how educators make a difference to the kinds of literate trajectories and identities young people put together.

Building the foundations : skill acquisition in children

Introduction: Why we need to base childrens’ sport and physical education on the principles of dynamical systems theory and ecological psychology As the childhood years are crucial for developing many physical skills as well as establishing the groundwork leading to lifelong participation in sport and physical activities, (Orlick & Botterill, 1977, p. 11) it is essential to examine current practice to make sure it is meeting the needs of children. In recent papers (e.g. Renshaw, Davids, Chow & Shuttleworth, in press; Renshaw, Davids, Chow & Hammond, in review; Chow et al., 2009) we have highlighted that a guiding theoretical framework is needed to provide a principled approach to teaching and coaching and that the approach must be evidence- based and focused on mechanism and not just on operational issues such as practice, competition and programme management (Lyle, 2002). There is a need to demonstrate how nonlinear pedagogy underpins teaching and coaching practice for children given that some of the current approaches underpinning children’s sport and P.E. may not be leading to optimal results. For example, little time is spent undertaking physical activities (Tinning, 2006) and much of this practice is not representative of the competition demands of the performance environment (Kirk & McPhail, 2002; Renshaw et al., 2008). Proponents of a non- linear pedagogy advocate the design of practice by applying key concepts such as the mutuality of the performer and environment, the tight coupling of perception and action, and the emergence of movement solutions due to self organisation under constraints (see Renshaw, et al., in press). As skills are shaped by the unique interacting individual, task and environmental constraints in these learning environments, small changes to individual structural (e.g. factors such as height or limb length) or functional constraints (e.g. factors such as motivation, perceptual skills, strength that can be acquired), task rules, equipment, or environmental constraints can lead to dramatic changes in movement patterns adopted by learners to solve performance problems. The aim of this chapter is to provide real life examples for teachers and coaches who wish to adopt the ideas of non- linear pedagogy in their practice. Specifically, I will provide examples related to specific issues related to individual constraints in children and in particular the unique challenges facing coaches when individual constraints are changing due to growth and development. Part two focuses on understanding how cultural environmental constraints impact on children’s sport. This is an area that has received very little attention but plays a very important part in the long- term development of sporting expertise. Finally, I will look at how coaches can manipulate task constraints to create effective learning environments for young children.

Teaching planning beyond the national context : pedagogic analyses of international fieldtrip experiences

Urban and regional planners, in the era of globalization, require being equipped with skill sets to better deal with complex and rapidly changing economic, socio-cultural, political and environmental fabrics of cities and their regions. In order to provide such skill sets, urban and regional planning curriculum of Queensland University of Technology (Brisbane, Australia) offers regional planning practice in the international context. This paper reports the findings of the pedagogic analyses from the regional planning practice fieldtrips to Malaysia, Korea, Turkey, Taiwan, and discusses the opportunities and constraints of exposure of students to regional planning practice beyond the national context.