'Catching them young':inspiring future engineers, an exploratory study

The requirement that primary school children appreciate fully the pivotal role played by engineering in the sustainable development of future society is reflected in the literature with much attention being paid to the need to spark childrens engineering imagination early-on in their school careers. Moreover, UK policy documents highlight the value of embedding engineering into the school curriculum, arguing that programmes aimed at inspiring children through a process of real-life learning experiences are vital pedagogical tools in promoting engineering to future generations. Despite such attention, engineering education at school-level remains sporadic, often reliant on individual engineering-entrepreneurs such as teachers who, through personal interest, get children involved in what are usually extra-curriculum, time-limited engineering focused programmes and competitions. This paper briefly discusses an exploratory study aimed at investigating the issues surrounding embedding engineering into the primary school curriculum. It gives some insight into the perceptions of various stakeholders in respect of the viability and value of introducing engineering education into the primary school curriculum from the age of 6 or 7. A conceptual framework of primary level engineering education, bringing together the theoretical, pedagogical and policy related phenomena influencing the development of engineering education is proposed. The paper concludes by arguing that in order to avert future societal disaster, childrens engineering imagination needs to be ignited from an early age and that to do this primary engineering education needs to be given far more educational, social and political attention. © 2009 Authors.

A operacionalização do programa de matemática em vigor no 1.º Ciclo do Ensino Básico pelos professores do concelho de Machico

Trabalho de projeto apresentado à Escola Superior de Educação de Paula Frassinetti para obtenção do grau de Mestre em Ciências da Educação Especialização em Supervisão Pedagógica

O enigma do modelo por competência no ensino primário de Moçambique

A implementação efectiva do Modelo por Competência nas instituições da educação constitui um dos maiores desafios do Ministério da Educação e Desenvolvimento Humano. Passa mais do que uma década que os currículos baseados em competência estão sendo implementados no Ensino Primário. Contudo, a qualidade de formação dos alunos nos diferentes ciclos de aprendizagem tem sido reclamada e/ou censurada por diferentes grupos sociais, incluindo professores, pais e encarregados de educação. É neste âmbito que o presente artigo pretende analisar o impacto e efeitos do desenvolvimento de competências na organização curricular moçambicana na qualidade de aprendizagens dos alunos do Ensino Primário do país. Para o efeito, foram eleitos os paradigmas quantitativo e qualitativo, a combinação de métodos bibliográficos, documental e de estudo de caso e ainda de técnicas como entrevista, questionário, observação e testes diagnósticos aplicados sobre uma amostra de (N=908) indivíduos (gestores, professores e alunos. O percurso investigativo permitiu que se chegasse à conclusão de que o modelo por competência está longe de ser implementado efectivamente nas escolas moçambicanas, uma vez que apenas 45% dos cerca de n=112 alunos testados é que desenvolveram as competências prescritas nos programas do Ensino Primário. Este facto deve-se à falta ou deficiente apropriação da filosofia e estratégias exigidas pelo currículo pelos dirigentes, gestores, professores e encarregados de educação, exiguidade de recursos infraestruturais, materiais e meios de ensino para efectiva implementação do currículo do Ensino Primário.

O currículo de matemática do 1º ciclo doensino secundário de Cabo Verde na perspectiva de professores

Este estudo tem por objetivo compreender a perspetiva de professores sobre o currículo de Matemática do 1º ciclo do Ensino Secundário cabo-verdiano e conhecer necessidades de formação que identificam, para um melhor desempenho na sua catividade profissional. As questões de estudo são: 1) Como se reveem os professores de Matemática no currículo do 1º ciclo do Ensino Secundário, enquanto agentes que interpretam e implementam esse currículo? 2) Que potencialidades e dificuldades reconhecem nesse currículo? 3) Que áreas consideram haver necessidade de formação, para a melhoria da sua prática docente, nesse nível de ensino? O desenvolvimento do referencial teórico integra duas áreas temáticas como eixos centrais: o currículo, o professor e o professor de Matemática. Foi feita uma análise de normativos cabo-verdianos para a educação, entre os quais se destacam a Lei de Bases do Sistema Educativo, o Plano de estudos para o ensino secundário e o Programa de Matemática do 1o ciclo do Ensino Secundário. A metodologia adotada na investigação segue uma abordagem interpretativa e descritiva, suportada por um design de estudo de caso. São estudados três casos, relativos a professores de Matemática cabo-verdianos do 1º ciclo do Ensino Secundário. A recolha de dados recorre a urna entrevista semiestruturada a cada professor, à observação de três aulas por professor participante e à recolha documental. A análise de dados foi feita utilizando principalmente a técnica de análise de conteúdos. Os professores revêem-se como executores de um currículo uniforme, de cumprimento obrigatório, normativo, emanado centralmente e do qual procuram interpretar as intenções. A sua visão de currículo é centrada nos conteúdos do programa, um dos motivos para que o enquadramento ao nível dos meios institucionais e as competências esperadas ao nível do saber fazer e ao nível do saber ser nem sempre serem conhecidas e/ou cumpridas. Em Acão, revêem-se como figuras centrais do currículo. Todos se reveem com mais competência na implementação curricular à medida que vão adquirindo experiência profissional. Concordam com os temas do programa e um deles sugere a inclusão de um tema. Consideram que os conteúdos nem sempre estão bem organizados e mostram a necessidade de a metodologia do programa ser mais detalhada, evidenciando claramente os seus propósitos. Eventualmente, podem não concordar com a estrutura de currículo em espiral do programa. Os professores identificam mais formação com melhor desempenho. As necessidades de formação são: Metodologia do Ensino da Matemática, Resolução de Problemas, Avaliação e a Geometria ligada à utilização de materiais pedagógicos. O estudo parece indicar que os professores não desenvolvem práticas diferentes por não terem essa vivência e aponta os professores mais jovens como mais abertos à mudança. ABSTRACT: The aim of this study is to understand the perspective of the teacher in relation to the Mathematics curriculum of the 1st cycle of Secondary School of Cape Verde (grades 7-8) and to learn about his/her training needs to develop better skills and performance in their professional activity. The key questions in this study are: 1) how do Mathematics teachers, acting in the capacity of agents who interpret and implement the 1st cycle of Secondary School curriculum, see themselves in this curriculum? 2) What potentialities and difficulties can they recognize in the curriculum? 3) What areas do they consider in need of training to improve teaching capacity within such education grade? The theoretical framework of this investigation integrates two main areas: the curriculum and the teacher. An analysis of Cape-Verdian normative texts for education has been made, including the Lei de Bases do Sistema Educativo (Basis Law of the Educational System), the Study plan for secondary school and the Mathematics program of the 1st cycle of secondary school. ln terms of methodology, we opted for an interpretative approach to our investigation, namely the case study. We looked at three case studies concerning the Cape-Verdian mathematics teacher of the 1st cycle of secondary school. The data collection uses a semi­structured interview for each teacher, the observation of three classes per participating teacher and the documental collection. Content analysis is the main technique used for analyzing the data. Teachers see themselves as practitioners of a uniform curriculum with mandatory compliance and delineated guidelines set by the administration, and they follow their own understanding of its intended purpose. Their vision of the curriculum is focused on program contents, one of the reasons why the expected skills at the level of "how to do" and "how to be" are not always known and/or done. ln their professional setting they see themselves with professional skills growing in tandem with professional experience. They all agree with the program contents but one of them suggests one content to add. ln their opinion the program is not always well organized and they suggest the need for a more comprehensive and detailed methodology of program contents. ln addition, they might not agree with the spiral structure of the program curriculum. They also identified the need for more elaborate professional training including: A Methodology for Mathematics Education, solving problems, Evaluation and the Geometry related to the utilization of pedagogical materials. The study seems to indicate that teachers refrain from developing different practices because of lack of experience but also demonstrates that younger teachers are more open to change.

Mathematics across the curriculum : problem-solving, reasoning and numeracy in primary schools.

Está escrito para facilitar la enseñanza y el aprendizaje en los primeros años de la escuela y en la etapa de primaria. Las matemáticas son una asignatura troncal y su uso y aplicación en actividades de resolución de problemas es fundamental para que los niños utilicen sus conocimientos y habilidades en una amplia variedad de situaciones. Muestra, además, cómo enseñar conceptos matemáticos a través de otras materias: historia, geografía, artes, ciencia y tecnología, salud y bienestar,y desarrollo físico. También, se tratan temas de planificación y evaluación, organización y práctica en la clase y el empleo de otros recursos.

An instrument for assessing primary students’ knowledge of information graphics in mathematics

Information graphics have become increasingly important in representing, organising and analysing information in a technological age. In classroom contexts, information graphics are typically associated with graphs, maps and number lines. However, all students need to become competent with the broad range of graphics that they will encounter in mathematical situations. This paper provides a rationale for creating a test to measure students’ knowledge of graphics. This instrument can be used in mass testing and individual (in-depth) situations. Our analysis of the utility of this instrument informs policy and practice. The results provide an appreciation of the relative difficulty of different information graphics; and provide the capacity to benchmark information about students’ knowledge of graphics. The implications for practice include the need to support the development of students’ knowledge of graphics, the existence of gender differences, the role of cross-curriculum applications in learning about graphics, and the need to explicate the links among graphics.

Impact of a play-based curriculum in the first two years of primary school: literacy and numeracy outcomes over seven years

In 2000–2002 an innovative early years curriculum, the Enriched Curriculum (EC), was introduced
into 120 volunteer schools across Northern Ireland, replacing a traditional curriculum similar to
others across the UK at that time. It was intended by the designers to be developmentally appropriate
and play-based with the primary goal of preventing the experience of persistent early failure in
children. The EC was not intended to be a literacy and numeracy intervention, yet it did considerably
alter pedagogy in these domains, particularly the age at which formal reading and mathematics
instruction began. As part of a multi-method evaluation running from 2000–2008, the research
team followed the primary school careers of the first two successive cohorts of EC children, comparing
them with year-ahead controls attending the same 24 schools. Compared to the year-ahead control
group, the findings show that the EC children’s reading and mathematics scores fell behind in
the first two years but the majority of EC children caught up by the end of their fourth year. Thereafter,
the performance of the first EC cohort fell away slightly, while that of the second continued to
match that of controls. Overall, the play-based curriculum had no statistically significant positive
effects on reading and mathematics in the medium term. At best, the EC children’s scores matched
those of controls.

Primary alkaline battery cathodes a three-scale model

A mathematical model for the galvanostatic discharge and recovery of porous, electrolytic manganese dioxide cathodes, similar to those found within primary alkaline batteries is presented. The phenomena associated with discharge are modeled over three distinct size scales, a cathodic (or macroscopic) scale, a porous manganese oxide particle (or microscopic) scale, and a manganese oxide crystal (or submicroscopic) scale. The physical and chemical coupling between these size scales is included in the model. In addition, the model explicitly accounts for the graphite phase within the cathode. The effects that manganese oxide particle size and proton diffusion have on cathodic discharge and the effects of intraparticle voids and microporous electrode structure are predicted using the model.

Integrating concrete and virtual materials in an elementary mathematics classroom : a case study of success with fractions

This paper describes an approach to introducing fraction concepts using generic software tools such as Microsoft Office's PowerPoint to create "virtual" materials for mathematics teaching and learning. This approach replicates existing concrete materials and integrates virtual materials with current non-computer methods of teaching primary students about fractions. The paper reports a case study of a 12-year-old student, Frank, who had an extremely limited understanding of fractions. Frank also lacked motivation for learning mathematics in general and interacted with his peers in a negative way during mathematics lessons. In just one classroom session involving the seamless integration of off-computer and on-computer activities, Frank acquired a basic understanding of simple common equivalent fractions. Further, he was observed as the session progressed to be an enthusiastic learner who offered to share his learning with his peers. The study's "virtual replication" approach for fractions involves the manipulation of concrete materials (folding paper regions) alongside the manipulation of their virtual equivalent (shading screen regions). As researchers have pointed out, the emergence of new technologies does not mean old technologies become redundant. Learning technologies have not replaced print and oral language or basic mathematical understanding. Instead, they are modifying, reshaping, and blending the ways in which humankind speaks, reads, writes, and works mathematically. Constructivist theories of learning and teaching argue that mathematics understanding is developed from concrete to pictorial to abstract and that, ultimately, mathematics learning and teaching is about refinement and expression of ideas and concepts. Therefore, by seamlessly integrating the use of concrete materials and virtual materials generated by computer software applications, an opportunity arises to enhance the teaching and learning value of both materials.

Report on Innovation Working Group : The Mathematics Education into the 21st Century Project. Dresden, Saxony

This document reports on the Innovations Working Group that met at the 10th International Conference “Models in Developing Mathematics Education” from the 11-17th September 2009 in Dresden, Saxony. It briefly describes the over arching and consistent themes that emerged from the numerous papers presented. The authors and titles of each of the papers presented will be listed in Table 2.

Recognising and respecting Torres Strait Islander mathematics knowledges and home languages through mainstream mathematics education [Abstract]

This abstract provides a preliminary discussion of the importance of recognising Torres Strait Islander knowledges and home languages of mathematics education. It stems from a project involving Torres Strait Islander Teachers and Teacher Aides and university based researchers who are working together to enhance the mathematics learning of students from Years 4-9. A key focus of the project is that mathematics is relevant and provides students with opportunities for further education, training and employment. Veronica Arbon (2008) questions the assumptions underpinning Western mainstream education as beneficial for Aboriginal and Torres Strait Islander people which assumes that it enables them to better participate in Australian society. She asks “how de we best achieve outcomes for and with Indigenous people conducive to our cultural, physical and economic sustainability as defined by us from Indigenous knowledge positions?” (p. 118). How does a mainstream education written to English conventions provide students with the knowledge and skills to participate in daily life, if it does not recognise the cultural identity of Indigenous students as it should (Priest, 2005; cf. Schnukal, 2003)? Arbon (2008) states that this view is now brought into question with calls for both ways education where mainstream knowledge and practices is blended with Indigenous cultural knowledges of learning. This project considers as crucial that cultural knowledges and experiences of Indigenous people to be valued and respected and given the currency in the same way that non Indigenous knowledge is (Taylor, 2003) for both ways education to work.

A thematic approach to integrating maths and science for pre-service primary teachers via sustainability

Efforts to improve mathematics and science content knowledge have in many institutions required redefining teacher education through new teaching and learning. See, for example, Peard & Pumadevi (2007) for an account of one such attempt involving the development of a Foundations Unit, Scientific and Quantitative Literacy. This unit is core for all first year pre-service primary teacher education students at Queensland University of Technology (QUT) and two Education Institutes in Malaysia, Institute Perguruan Raja Melewar (IPRM), and Institute Perguruan Teknik (IPT) Kuala Lumpur. Since then, QUT has modified the unit to adopt a thematic approach to the same content. An aim of the unit rewrite was the development of a positive attitude and disposition to the teaching and learning of mathematics and science, with a curiosity and willingness to speculate about and explore the world. Numeracy was specifically identified within the mathematics encountered and appropriately embedded in the science learning area. The importance of the ability to engage in communication of and about mathematics and science was considered crucial to the development of pre-service primary teachers. Cognisance was given to the appropriate selection and use of technology to enhance learning - digital technologies were embedded in the teaching, learning and assessment of the unit to avoid being considered as an optional extra. This was achieved around the theme of “the sustainable school”. This „sustainability‟ theme was selected due to its prominence in Australia‟s futures-oriented National Curriculum which will be implemented in 2011. This paper outlines the approach taken to the implementation of the unit and discusses early indicators of its effectiveness.