Narrativas de Práticas Pedagógicas de Professoras que Ensinam Matemática na Educação Infantil

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Mathematical pedagogical content knowledge in early childhood education: A study in initial teacher education in Portugal

The study aims to explore the specificity of mathematics Pedagogical Content Knowledge in Early Childhood Education Pedagogy. The pedagogy of ECE (Siraj-Blatchford, 2010) and the didactics of ECE (Pramling & Pramling-Samuelsson, 2011) suggest dimensions of knowledge that require strong content and PC knowledge of teachers. Recent studies about PCK of ECE teachers highlight similar specific dimensions: organization of educational environment and interactions with children (Lee, 2010, McCray, 2008, Rojas, 2008). The current framework for ECE Teacher Education in Portugal (since 2007) focuses both content knowledge and subject didactics. PCK has been labelled the 'great unknown' in ECE (Rojas, 2008) in traditions where the child's development is considered as the main knowledge base for ECE (Chen & McNamee, 2006, Cullen, 2005, Hedges & Cullen, 2005). We studied the perspectives of 27 initial teacher education students about knowledge for teaching and about ECE Pedagogy. We used one open-ended questionnaire and students' analysis of episodes focusing children's answers or discourse relevant for mathematics (about high numbers and square root). The questionnaire was anonymous and students’ permission to use the answers was obtained. In the questionnaire, interactions with children (62%) and organization of the educational environment (38%) are highlighted as the most important focus for the teacher. Students suggested tasks that were adult planned and oriented to further the situations presented in the episodes. Very few references to children's exploratory actions (Bonawitz et al., 2011) were made. The specificity of ECE (child initiated activities, e.g.) needs to be further developed in initial teacher education.

Healthy children, healthy planet : the case for transformative education in schools and early childhood from an Australian perspective

Climate change is an urgent global public health issue with substantial predicted impacts in the coming decades. Concurrently, global burden of disease studies highlight problems such as obesity, mental health problems and a range of other chronic diseases, many of which have origins in childhood. There is a unique opportunity to engage children in both health promotion and education for sustainability during their school years to help ameliorate both environmental and health issues. Evidence exists for the most effective ways to do this, through education that is empowering, action orientated and relevant to children’s day to day interests and concerns, and by tailoring such education to different educational sectors. The aim of this discussion paper is to argue the case for sustainability education in schools that links with health promotion and that adopts a practical approach to engaging children in these important public health and environmental issues. We describe two internationally implemented whole-school reform movements, Health Promoting Schools (HPS) and Sustainable Schools (SS) which seek to operationalise transformative educational processes. Drawing on international evidence and Australian case examples, we contend that children’s active involvement in such processes is not only educationally engaging and rewarding, it also contributes to human and environmental resilience and health. Further, school settings can play an important ecological public health role, incubating and amplifying the socially transformative changes urgently required to create pathways to healthy, just and sustainable human futures, on a viable planet.

Teacher's Beliefs and Practices in Early Childhood Education in Singapore

This book contributes to the literature on early childhood education services in Singapore. It evolved from a research study which was carried out to understand the beliefs and practices of three Singaporean teachers through their critical reflection on their professional work. This study was based on research which indicates that any efforts to improve the quality of early childhood services should involve the teachers themselves. Teachers who are capable of critical reflection on their work with children and families will be more effective practitioners.

Mathematical modelling in mathematics education and instruction

This paper aims at giving a concise survey of the present state-of-the-art of mathematical modelling in mathematics education and instruction. It will consist of four parts. In part 1, some basic concepts relevant to the topic will be clarified and, in particular, mathematical modelling will be defined in a broad, comprehensive sense. Part 2 will review arguments for the inclusion of modelling in mathematics teaching at schools and universities, and identify certain schools of thought within mathematics education. Part 3 will describe the role of modelling in present mathematics curricula and in everyday teaching practice. Some obstacles for mathematical modelling in the classroom will be analysed, as well as the opportunities and risks of computer usage. In part 4, selected materials and resources for teaching mathematical modelling, developed in the last few years in America, Australia and Europe, will be presented. The examples will demonstrate many promising directions of development.

Teaching and learning geometry : issues and methods in mathematical education.

Recurso para la evaluación de la enseñanza y el aprendizaje de la geometría en la enseñanza secundaria desde la perspectiva de los nuevos docentes y de los que tienen más experiencia. Está diseñado para ampliar y profundizar el conocimiento de la materia y ofrecer consejos prácticos e ideas para el aula en el contexto de la práctica y la investigación actual. Hace especial hincapié en: comprender las ideas fundamentales del currículo de geometría; el aprendizaje de la geometría de manera efectiva; la investigación y la práctica actual; las ideas erróneas y los errores; el razonamiento de la geometría; la solución de problemas; el papel de la tecnología en el aprendizaje de la geometría.

Modelling Mathematical Reasoning in Physics Education

Many findings from research as well as reports from teachers describe students' problem solving strategies as manipulation of formulas by rote. The resulting dissatisfaction with quantitative physical textbook problems seems to influence the attitude towards the role of mathematics in physics education in general. Mathematics is often seen as a tool for calculation which hinders a conceptual understanding of physical principles. However, the role of mathematics cannot be reduced to this technical aspect. Hence, instead of putting mathematics away we delve into the nature of physical science to reveal the strong conceptual relationship between mathematics and physics. Moreover, we suggest that, for both prospective teaching and further research, a focus on deeply exploring such interdependency can significantly improve the understanding of physics. To provide a suitable basis, we develop a new model which can be used for analysing different levels of mathematical reasoning within physics. It is also a guideline for shifting the attention from technical to structural mathematical skills while teaching physics. We demonstrate its applicability for analysing physical-mathematical reasoning processes with an example.

Early childhood education in Illinois: focus on kindergarten.

Bibliography; p. 34-37.

Integrating engineering education in the middle school mathematics curriculum

Many nations are experiencing a decline in the number of graduating engineers, an overall poor preparedness for engineering studies in tertiary institutions, and a lack of diversity in the field. Given the increasing importance of mathematics, science, engineering, and technology in our world, it is imperative that we foster an interest and drive to participate in engineering from an early age. This discuission paper argues for the intergration of engineering education within the elementary and middle school mathematics curricula. In doing so, we offer a definition of engineering education and address its core goals; consider some perceptions of engineering and engineering education held by teachers and students; and offer one approach to promoting engineering education within the elementary and middle school mathematics curriculum, namely through mathematical modeling.

Social inequalities and parent involvement in children’s education in the early years of school

Strengthening cooperation between schools and parents is critical to improving learning outcomes for children. The chapter focuses on parental engagement in their children’s education in the early years of school. It considers issues of social and cultural capital as important to whether, or not, parents are involved in their children’s schooling. Analyses of data from a national representative sample of children and their families who participate in Growing up in Australia: The Longitudinal Study of Australian Children are presented. Results indicated that higher family socio-economic position was associated with higher levels of parental involvement and higher expectations about children’s future level of education.

Mathematical modelling in the early school years

In this article we explore young children's development of mathematical knowledge and reasoning processes as they worked two modelling problems (the Butter Beans Problem and the Airplane Problem). The problems involve authentic situations that need to be interpreted and described in mathematical ways. Both problems include tables of data, together with background information containing specific criteria to be considered in the solution process. Four classes of third-graders (8 years of age) and their teachers participated in the 6-month program, which included preparatory modelling activities along with professional development for the teachers. In discussing our findings we address: (a) Ways in which the children applied their informal, personal knowledge to the problems; (b) How the children interpreted the tables of data, including difficulties they experienced; (c) How the children operated on the data, including aggregating and comparing data, and looking for trends and patterns; (c) How the children developed important mathematical ideas; and (d) Ways in which the children represented their mathematical understandings.

Elementary teacher education in papua new guinea: towards a culturally connected perspective of teaching

Global and national agendas for quality education have led to reforms in Papua New Guinea’s (PNG) elementary education, but criticism of the learner-centred, Western pedagogies has emerged. One key influence on quality teacher education relates to perspectives of teaching. Existing research shows teachers’ beliefs and perceptions of teaching influence their practice, however to date little research has investigated perspectives of teaching for elementary education in PNG. This single exploratory case study investigated the perspectives of teaching for eighteen elementary teacher trainers as they studied for a Bachelor of Early Childhood (Teacher Education). The study, drawing on an interpretivist paradigm, analysed journals and course planning documents using a thematic approach. The findings revealed that while the trainers’ perspectives of teaching children tended to reflect a learning-centred perspective (focused on what the teacher does), their perspectives of teaching adults were both learning-centred and learner-centred (what the learner does). Based on these findings, a culturally connected perspective of teaching is advocated for PNG elementary teacher education. This perspective enables the co-existence of both the learning-centred and learner-centred perspectives of teaching in the PNG cultural context and has implications for teacher education and the communities involved in elementary education in general.

Media Literacy through Arts Education in Australia

Media arts has been included as one of five Arts subjects for the new Australian Curriculum and will become mandatory learning for all Australian children from pre-school to year six, and elective for children in years seven to twelve. While media education has historically been associated with English curriculum in Australia, it has also occurred through the Arts since at least the 1960s and creative practice has almost always been included as an aspect of official media curricula. This chapter investigates the possibilities for creative and critical learning enabled through media arts by discussing the media learning of one primary school student. This chapter investigates the possibilities for creative and critical learning enabled through the inclusion of media arts in the curriculum. Media arts has been included as one of five Arts subjects for the new Australian Curriculum and will become mandatory learning for all Australian children from pre-school to year six, and elective for children in years seven to twelve. Media education has historically been associated with English curriculum in Australia due to its development through the critical reading tradition. However, media literacy education in secondary schools has also occurred through the Arts since at least the 1960s and creative practice has almost always been included as an aspect of official media curricula. This chapter investigates the media learning of one primary school student, to consider the nature of creative learning and how this relates to the ‘critical’ aspects of media arts curriculum. We undertook this work as part of a large research project that has been investigating the relationship between digital media and traditional literacy outcomes in a primary school.

New directions in intercultural early education in Australia

Early education in Australia encompasses both early education and care(ECEC) and the early years of school. Educational approaches to cultural and linguistic diversity have varied not only by sector but also by jurisdiction based on distinct curriculum frameworks and policies. In Australian early education, provision for cultural and linguistic diversity has been framed largely by multicultural discourse, as defined by a complex history of progressive, yet often superficial reforms. Current initiatives serve to change this trajectory and the positioning of stakeholders. The incorporation of intercultural rather than multicultural approaches offers new possibilities for early education and directs attention to real challenges for ECEC. They re-position Aboriginal and Torres Strait Islanders as the First Australians, and direct attention to both Australia’s social, cultural and linguistic diversity and to the role of early childhood educators in enacting more inclusive pedagogies. Challenges yet to be addressed include the cultural understanding of Australian early childhood educators, particularly those who identify as Anglo- Australian, deeper policy enactment in pedagogic practice and negotiation with diverse families and communities. This paper will address the historical and current policy contexts of intercultural early education in Australia, the development of intercultural initiatives, and emerging issues as national policies are introduced. The discussion draws on responses to intercultural early education in New Zealand and Canada to consider approaches to intercultural priorities in Australia. The paper will attend predominantly to Aboriginal and Torres Strait Islander perspectives as a core element of change in Australian early childhood policy, focusing on ECEC.