Early childhood teachers' mathematical content knowledge

The process of becoming numerate begins in the early years. According to Vygotskian theory (1978), teachers are More Knowledgeable Others who provide and support learning experiences that influence children’s mathematical learning. This paper reports on research that investigates three early childhood teachers mathematics content knowledge. An exploratory, single case study utilised data collected from interviews, and email correspondence to investigate the teachers’ mathematics content knowledge. The data was reviewed according to three analytical strategies: content analysis, pattern matching, and comparative analysis. Findings indicated there was variation in teachers’ content knowledge across the five mathematical strands and that teachers might not demonstrate the depth of content knowledge that is expected of four year specially trained early years’ teachers. A significant factor that appeared to influence these teachers’ content knowledge was their teaching experience. Therefore, an avenue for future research is the investigation of factors that influence teachers’ content numeracy knowledge.

Will they know enough? Pre-service primary teachers' knowledge base for teaching intergrated social sciences

A significant issue in primary teacher education is developing a knowledge base which prepares teachers to teach in a range of subject areas. In Australia, the problem in primary social science education is compounded by the integrated nature of the key learning area of Studies of Society and Environment (SOSE). Recent debates on teaching integrated social sciences omit discussions on the knowledge base for teaching. In this paper, a case study approach is used to investigate primary pre-service teachers’ approaches to developing a knowledge base in designing a SOSE curriculum unit. Data from five teacher-educators who taught primary SOSE curriculum indicates that novice teachers’ subject content knowledge, as revealed through their curriculum planning, lacked a disciplinary basis. However, understanding of inquiry learning, which is fundamental to social science education, was much stronger. This paper identifies a gap in the scholarship on teaching integrated social science and illustrates the need to support and develop primary teachers’ disciplinary knowledge in teacher education.

A visual description of early-number counting, addition and subtraction knowledge

Early-number is a rich fabric of interconnected ideas that is often misunderstood and thus taught in ways that do not lead to rich understanding. In this presentation, a visual language is used to describe the organisation of this domain of knowledge. This visual language is based upon Piaget’s notion of reflective abstraction (Dubinsky, 1991; Piaget, 1977/2001), and thus captures the epistemological associations that link the problems, concepts and representations of the domain. The constructs of this visual language are introduced and then applied to the early-number domain. The introduction to this visual language may prompt reflection upon its suitability and significance to the description of other domains of knowledge. Through such a process of analysis and description, the visual language may serve as a scaffold for enhancing pedagogical content knowledge and thus ultimately improve learning outcomes.

Facilitating growth in prospective teachers’ knowledge : teaching geometry in primary schools

This paper reports on a study that focused on growth of understanding about teaching geometry by a group of prospective teachers engaged in lesson plan study within a computer-supported collaborative learning (CSCL) environment. Participation in the activity was found to facilitate considerable growth in the participants’ pedagogical-content knowledge (PCK). Factors that influenced growth in PCK included the nature of the lesson planning task, the cognitive scaffolds inserted into the CSCL virtual space, the meta-language scaffolds provided to the participants, and the provision of both private and public discourse spaces. The paper concludes with recommendations for enhancing effective knowledge-building discourse about mathematics PCK within prospective teacher education CSCL environments.

Education for sustainability : a case study of pre-service primary teachers' knowledge and efficacy

This study investigated the relationships between knowledge and efficacy for teaching sustainability in a sample of 266 pre-service primary teachers at a large, metropolitan university in Australia. A survey gathered information about the participant’s attitudes and self-efficacy for education for sustainability, along with their perceived and actual knowledge of environmental sustainability issues. The participants typically believed they were confident in their abilities to engage with education for sustainability with self-efficacy increasing with increased levels of perceived knowledge. However no relationship was found between perceived knowledge and actual knowledge which suggests that the participants either do not feel constrained by their lack of knowledge, or are perhaps unaware of their actual knowledge of sustainability issues. This lack of relationship may have implications for the development of pedagogical content knowledge with pre-service teachers potentially developing shallow, tokenistic approaches to Education for Sustainability.

Reshaping children’s knowledge through film making: What to film, how to film and why

How can teachers reinvigorate content area knowledge and representation through filmmaking? We give examples of what to film, how to film, and why, drawing on our visual ethnographic research with Year 5 students in a working class suburb of Logan, Queensland. The unit developed content knowledge of Indigenous places and practices through sensitising activities in nature. Valuing students’ funds of knowledge, we interpreted local places through epistemologies of different cultures. Through filmmaking workshops by a digital artist, students filmed community members in a local shopping mall about their perceptions of health and happiness in local places. Students were positioned as future community leaders, presenting their films at a national conference. To conclude, we map the dominant and marginalised, local and specialised, and print and visual forms of knowledge that were interwoven, reshaped, and shared through multimodal design.

Strategies for mentoring pedagogical knowledge

Fundamental for mentoring a preservice teacher is the mentor’s articulation of pedagogical knowledge, which in this research draws upon specific practices, viz: planning, timetabling lessons, preparation, teaching strategies, content knowledge, problem solving, questioning, classroom management, implementation, assessment, and viewpoints for teaching. Mentoring is haphazard; consequently mentors need a pedagogical knowledge framework and a repertoire of pedagogical knowledge strategies to guide a preservice teacher’s development. Yet, what are strategies for mentoring pedagogical knowledge practices? This qualitative research investigates mentoring strategies assigned to pedagogical knowledge from 27 experienced mentor teachers. Findings showed that there were multiple strategies that can be linked to specific pedagogical knowledge practices. For example, mentoring strategies associated with planning for teaching can include co-planning, verbally reflecting on planning with the mentee, and showing examples of the mentor teacher’s planning (e.g., teacher’s plans, school plans, district and state plans). This paper provides a bank of practical strategies for mentoring pedagogical knowledge practices to assist a preservice teacher’s development.

The impact of professional development on early childhood educators’ confidence, understanding and knowledge of education for sustainability

In recent times, Australia has recognised and enacted a range of initiatives at service, system and community levels that seek to embed sustainability into the early childhood sector. This paper explores the impact of a professional development (PD) session that provided opportunities for early childhood educators to learn and share ideas about the theory and practice of sustainability generally and early childhood education for sustainability (ECEfS) specifically. The PD was entitled ‘Living and Learning about Sustainability in the Early Years’ and was offered on three occasions across Tasmania. A total of 99 participants attended the three PD sessions (one 5 hour; two 2 hour). The participants had varying levels of experience and included early childhood teachers, centre based educators and preservice teachers. At the start and end of the PD, participants were invited to complete a questionnaire that contained a series of likert scale questions that explored their content knowledge, level of understanding and confidence in regards to ECEfS. Participants were also asked at the start and end of the PD to ‘list five words you think of when you consider the word sustainability.’ A model of teacher professional growth was used to conceptualise the results related to the changes in knowledge, understanding and confidence (personal domain) as a result of the PD related to ECEfS (external domain). The likert-scale questions on the questionnaire revealed significant positive changes in levels of knowledge, understanding and confidence from the start to the end of the PD. Differences as a function of length of PD, level of experience and role are presented and discussed. The ‘5 words’ question showed that participants widened their understandings of ECEfS from a narrow environmental focus to a broader understanding of the social, political and economic dimensions. The early childhood education and care (ECEC) sector has been characterised as having a pedagogical advantage for EfS suggesting that early childhood educators are well placed to engage with EfS more readily than might educators in other education sectors. This article argues that PD is necessary to develop capability in educators in order to meet the imperatives around sustainability outlined in educational policy and curriculum documents in ECEC.

The knowledge base of subject-matter experts in teaching : A case study of a professional scientist as a beginning teacher

One method of addressing the shortage of science and mathematics teachers is to train scientists and other science-related professionals to become teachers. Advocates argue that as discipline experts these career changers can relate the subject matter knowledge to various contexts and applications in teaching. In this paper, through interviews and classroom observations with a former scientist and her students, we examine how one career changer used her expertise in microbiology to teach microscopy. These data provided the basis for a description of the teacher’s instruction which was then analysed for components of domain knowledge for teaching. Consistent with the literature, the findings revealed that this career changer needed to develop her pedagogical knowledge. However, an interesting finding was that the teacher’s subject matter as a science teacher differed substantively from her knowledge as a scientist. This finding challenges the assumption that subject matter is readily transferable across professions and provides insight into how to better prepare and support career changers to transition from scientist to science teacher.

Exploring links between pedagogical knowledge practices and student outcomes in STEM education for primary schools

Science, technology, engineering, and mathematics (STEM) education is an emerging initiative in Australia, particularly in primary schools. This qualitative research aimed to understand Year 4 students' involvement in an integrated STEM education unit that focused on science concepts (e.g., states of matter, testing properties of materials) and mathematics concepts (e.g., 3D shapes and metric measurements) for designing, making and testing a strong and safe medical kit to insulate medicines (ice cubes) at desirable temperatures. Data collection tools included student work samples, photographs, written responses from students and the teacher, and researcher notes. In a post-hoc analysis, a pedagogical knowledge practice framework (i.e., planning, timetabling, preparation, teaching strategies, content knowledge, problem solving, classroom management, questioning, implementation, assessment, and viewpoints) was used to explain links to student outcomes in STEM education. The study showed how pedagogical knowledge practices may be linked to student outcomes (knowledge, understanding, skill development, and values and attitudes) for a STEM education activity.

Professional development for the integration of biotechnology education

Views on the nature and relevance of science education have changed significantly over recent decades. This has serious implications for the way in which science is taught in secondary schools, particularly with respect to teaching emerging topics such as biotechnology, which have a socio-scientific dimension and also require novel laboratory skills. It is apparent in current literature that there is a lack of adequate teacher professional development opportunities in biotechnology education and that a significant need exists for researchers to develop a carefully crafted and well supported professional development design which will positively impact on the way in which teachers engage with contemporary science. This study used a retrospective case study methodology to document the recent evolution of modern biotechnology education as part of the changing nature of science education; examine the adoption and implementation processes for biotechnology education by three secondary schools; and to propose an evidence based biotechnology professional development model for science educators. Data were gathered from documents, one-on-one interviews and focus group discussions. Analysis of these data has led to the proposal of a biotechnology professional development model which considers all of the key components of science professional development that are outlined in the literature, as well as the additional components which were articulated by the educators studied. This research is timely and pertinent to the needs of contemporary science education because of its recognition of the need for a professional development model in biotechnology education that recognizes and addresses the content knowledge, practical skills, pedagogical knowledge and curriculum management components.

Primary students’ spatial visualization and spatial orientation : an evidence base for instruction

This paper reports on the performance of 58 11 to 12-year-olds on a spatial visualization task and a spatial orientation task. The students completed these tasks and explained their thinking during individual interviews. The qualitative data were analysed to inform pedagogical content knowledge for spatial activities. The study revealed that “matching” or “matching and eliminating” were the typical strategies that students employed on these spatial tasks. However, errors in making associations between parts of the same or different shapes were noted. Students also experienced general difficulties with visual memory and language use to explain their thinking. The students’ specific difficulties in spatial visualization related to obscured items, the perspective used, and the placement and orientation of shapes.