Time limitations in NAPLAN numeracy tests

The article discusses evidence that time prevented many students from showing what they could do in the 2010 Year 7 and 9 NAPLAN numeracy tests. In addition to analysing the available data, the article discusses some NAPLAN numeracy questions that contribute to this problem. It is suggested that schools should investigate whether time limitation is a problem for their own students. The article discusses the implications of these findings for teachers preparing students for NAPLAN tests and for the developers of the tests.

Addressing quality teaching in hard to staff settings : the Exceptional Teachers for Disadvantaged Schools Project

This Exceptional Teachers for Disadvantaged Schools (ETDS) project sets out to design a new model of Australian teacher education responding to recent demands for quality education in low SES and disadvantaged schools. The project moves teacher education from the ‘missionary’ (Larabee, 2010) or deficit (Comber and Kamler 2004; Flessa, 2007) approaches, towards a focus on notions of quality and academic excellence. Rice (2008, p.1) argues for a need to place more of the “very best teachers into the most challenging schools”, yet the problem is not merely one of training more teachers, for disadvantaged schools already receive disproportionate numbers of beginning teachers (Connell, 1994; Vickers & Ferfolja, 2006). Rather, Grossman and Loeb (2010, p. 245) argue the problem centers on the common practice of “[p]lacing the least experienced teachers with the most needy students”. This paper reports on the first year trial of the project. The ETDS project is at present, the only mainstream Australian teacher education model that targets cohorts of academically high achieving pre-service teachers with the overt aim of preparing graduates of the program to teach in disadvantaged schools. At the end of its first year, the ETDS program graduated 20 new teachers, each of whom had over the previous 18 months engaged with a specialized curriculum and carefully monitored/scaffolded practicum placements in disadvantaged schools around Brisbane, Australia.

Jabberwocky : the complexities of mathematical English

Mathematical English is a unique language based on ordinary English, with the addition of highly stylised formal symbol systems. Some words have a redefined status. Mathematical English has its own lexicon, syntax, semantics and literature. It is more difficult to understand than ordinary English. Ability in basic interpersonal communication does not necessarily result in proficiency in the use of mathematical English. The complex nature of mathematical English may impact upon the ability of students to succeed in mathematical and numeracy assessment. This article presents a review of the literature about the complexities of mathematical English. It includes examples of more than fifty language features that have been shown to add to the challenge of interpreting mathematical texts. Awareness of the complexities of mathematical English is an essential skill needed by mathematics teachers when teaching and when designing assessment tasks.

Mid-Career professionals in STEM transiting to school teaching : barriers at the border

In many countries there is a shortage of quality teachers in areas of science, technology, engineering and mathematics (STEM). Additional to the low levels of recruitment is an extraordinary high attrition rate with some 50% of beginning teachers leaving the profession within five years. One solution implemented in several countries has been to encourage mid-career professionals in the area of STEM to become school teachers. These professionals are said to bring to teaching enthusiasm, knowledge and a passion for their subject which will impact engagement and learning by students. However, these career-changers have constructed professional identities and are accustomed to working within a culture of collaboration and inquiry. In contrast, school cultures are quite different and often teaching is a lonely solitary affair with little opportunity for collegial relationships aimed at knowledge building in the context of teaching. Crossing from a culture of STEM to a culture of schools and teaching can be challenging. This study was conducted with 13 teachers who were followed for three years. However, this paper reports on the experiences of one teacher with an engineering background crossing the boundaries from practising STEM to Teaching STEM.

Female students’ interactions in a middle school engineering project : a case study

Targeting females at high school or earlier may be a key towards engaging them in science, technology, engineering and mathematics (STEM) education. This ethnographic study, part of a three-year longitudinal research project, investigated Year 8 female students’ learning about engineering concepts associated with designing, constructing, testing, and evaluating a catapult. There was a series of lead-up lessons and four lessons for the catapult challenge (total of 18 x 45-minute lessons) over a nine-week period. Data from two girls within a focus group showed that they needed to: (1) receive clarification on engineering terms to facilitate more fluent discourse, (2) question and debate conceptual understandings without peers being judgemental, and (3) have multiple opportunities for engaging with materials towards designing, constructing and explaining key concepts learnt. There are implications for teachers facilitating STEM education, such as: clarifying STEM terms, articulating how students can interact in non-judgmental ways, and providing multiple opportunities for interacting within engineering education.

The power of percent

Which statistic would you use if you were writing the newspaper headline for the following media release: "Tassie’s death rate of deaths arising from transport-related injuries was 13 per 100,000 people, or 50% higher than the national average”? (Martain, 2007). The rate “13 per 100,000” sounds very small whereas “50% higher” sounds quite large. Most people are aware of the tendency to choose between reporting data as actual numbers or using percents in order to gain attention. Looking at examples like this one can help students develop a critical quantitative literacy viewpoint when dealing with “authentic contexts” (Australian Curriculum, Assessment and Reporting Authority [ACARA], 2013a, p. 37, 67). The importance of the distinction between reporting information in raw numbers or percents is not explicitly mentioned in the Australian Curriculum: Mathematics (ACARA, 2013b, p. 42). Although the document specifically mentions making “connections between equivalent fractions, decimals and percentages” [ACMNA131] in Year 6, there is no mention of the fundamental relationship between percent and the raw numbers represented in a part-whole fashion. Such understanding, however, is fundamental to the problem solving that is the focus of the curriculum in Years 6 to 9. The purpose of this article is to raise awareness of the opportunities to distinguish between the use of raw numbers and percents when comparisons are being made in contexts other than the media. It begins with the authors’ experiences in the classroom, which motivated a search in the literature, followed by a suggestion for a follow-up activity.

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.

Enhancing the teaching and learning of mathematical visual images

The literacy demands of mathematics are very different to those in other subjects (Gough, 2007; O'Halloran, 2005; Quinnell, 2011; Rubenstein, 2007) and much has been written on the challenges that literacy in mathematics poses to learners (Abedi and Lord, 2001; Lowrie and Diezmann, 2007, 2009; Rubenstein, 2007). In particular, a diverse selection of visuals typifies the field of mathematics (Carter, Hipwell and Quinnell, 2012), placing unique literacy demands on learners. Such visuals include varied tables, graphs, diagrams and other representations, all of which are used to communicate information.

Challenges in embedding numeracy throughout the curriculum in three Queensland secondary schools

The new Australian Curriculum and national standardised testing have placed the teaching of numeracy across the curriculum at the forefront of what Australian schools must do. However, it has been left to schools to determine how they do this. Although there is a growing body of literature giving examples of pedagogies that embed numeracy in various learning areas, there are few studies of cross-curricular numeracy from the management perspective. This paper responds to the research question: How do selected Queensland secondary schools interpret and apply the Australian Curriculum requirement to embed numeracy throughout the curriculum? A multiple case study design was used to investigate the actions of the senior managers and mathematics teachers in three large secondary schools located in outer Brisbane. The numeracy practices in the three schools were interpreted from asocial constructivist perspective. The study found that in each school key managers had differing constructions of numeracy that led to confusion in administrative practices, policy development and leadership. The lack of coordinated cross-curricular action in numeracy in all three schools points to the difficulty that arises when teachers do not share the cross-curricular vision of numeracy present in the Australian Curriculum. The managers identified teachers’ commitment, understanding, or skills in relation to numeracy as significant barriers to the successful implementation of numeracy in their school. Adoption of the Australian Curriculum expectation of embedding numeracy across the curriculum will require school managers to explicitly commit to initiatives that require persistence,time and, most importantly, money.

Challenges in embedding numeracy throughout the curriculum in three Queensland secondary schools

The Australian Curriculum identified seven General Capabilities, including numeracy, to be embedded in all learning areas. However, it has been left to individual schools to manage this. Whilst there is a growing body of literature about pedagogies that embed numeracy in various learning areas, there are few studies from the management perspective. A social constructivist perspective and a multiple case study approach were used to explore the actions of school managers and mathematics teachers in three Queensland secondary schools, in order to investigate how they meet the Australian Curriculum requirement to embed numeracy throughout the curriculum. The study found a lack of coordinated cross-curricular approaches to numeracy in any of the schools studied. It illustrates the difficulties that arise when teachers do not share the Australian Curriculum cross-curricular vision of numeracy. Schools and curriculum authorities have not acknowledged the challenges for teachers in implementing cross-curricular numeracy, which include: limited understanding of numeracy; a lack of commitment; and inadequate skills. Successful embedding of numeracy in all learning areas requires: the commitment and support of school leaders, a review of school curriculum documents and pedagogical practices, professional development of teachers, and adequate funding to support these activities.

Expectation and variation with a virtual die

By the time students reach the middle years they have experienced many chance activities based on dice. Common among these are rolling one die to explore the relationship of frequency and theoretical probability, and rolling two dice and summing the outcomes to consider their probabilities. Although dice may be considered overused by some, the advantage they offer is a familiar context within which to explore much more complex concepts. If the basic chance mechanism of the device is understood, it is possible to enter quickly into an arena of more complex concepts. This is what happened with a two hour activity engaged in by four classes of Grade 6 students in the same school. The activity targeted the concepts of variation and expectation. The teachers held extended discussions with their classes on variation and expectation at the beginning of the activity, with students contributing examples of the two concepts from their own experience. These notions are quite sophisticated for Grade 6, but the underlying concepts describe phenomena that students encounter every day. For example, time varies continuously; sporting results vary from game to game; the maximum temperature varies from day to day. However, there is an expectation about tomorrow’s maximum temperature based on the expert advice from the weather bureau. There may also be an expectation about a sporting result based on the participants’ previous results. It is this juxtaposition that makes life interesting. Variation hence describes the differences we see in phenomena around us. In a scenario displaying variation, expectation describes the effort to characterise or summarise the variation and perhaps make a prediction about the message arising from the scenario. The explicit purpose of the activity described here was to use the familiar scenario of rolling a die to expose these two concepts. Because the students had previously experienced rolling physical dice they knew instinctively about the variation that occurs across many rolls and about the theoretical expectation that each side should “come up” one-sixth of the time. They had observed the instances of the concepts in action, but had not consolidated the underlying terminology to describe it. As the two concepts are so fundamental to understanding statistics, we felt it would be useful to begin building in the familiar environment of rolling a die. Because hand-held dice limit the explorations students can undertake, the classes used the soft-ware TinkerPlots (Konold & Miller, 2011) to simulate rolling a die multiple times.

Student understandings of numeracy problems: Semantic alignment and analogical reasoning

Despite compulsory mathematics throughout primary and junior secondary schooling, many schools across Australia continue in their struggle to achieve satisfactory numeracy levels. Numeracy is not a distinct subject in school curriculum, and in fact appears as a general capability in the Australian Curriculum, wherein all teachers across all curriculum areas are responsible for numeracy. This general capability approach confuses what numeracy should look like, especially when compared to the structure of numeracy as defined on standardised national tests. In seeking to define numeracy, schools tend to look at past NAPLAN papers, and in doing so, we do not find examples drawn from the various aspects of school curriculum. What we find are more traditional forms of mathematical worded problems.

Formação continuada na escola: como os professores dos anos iniciais do ensino fundamental intepretam os resultados da Prova Brasil

A formação é necessária a todos os profissionais da educação, visto que o ser humano nunca está pronto ou acabado. No contexto das constantes transformações sociais, a formação continuada ganha nova força na atual conjuntura social, cultural e econômica do país e a escola passa a ser entendida como um locus privilegiado para essa formação. Contudo, para que essa formação ocorra no sentido proposto por Vera Candau, a escola necessita ser de fato um lugar de reflexão, capaz de identificar os problemas, discuti-los e, coletivamente, resolvê-los. Paralelamente à discussão sobre formação continuada, nos deparamos com os resultados da avaliação nacional, que insistem em evidenciar os baixos desempenhos dos estudantes das escolas públicas. A Prova Brasil, em especial, tem divulgado os resultados para cada escola com o objetivo de envolver os professores e demais funcionários na reflexão sobre a qualidade da educação e da aprendizagem de seus alunos. Com a finalidade de buscar compreender como a escola interpreta os resultados da Prova Brasil, favorecendo a formação continuada de seus docentes, foi feita a análise das ações de uma escola pública situada no município de Nova Iguaçu, que atende alunos do primeiro segmento do Ensino Fundamental. A pesquisa, portanto, é de natureza qualitativa, envolvendo observações participantes, questionários com os sujeitos escolhidos: professores, coordenação pedagógica, direção e coleta de dados na Secretaria Municipal de Educação. O referencial teórico desta discussão está embasado nas discussões acerca da valorização da escola e da importância desta como locus privilegiado de formação continuada. Assim, autores como Candau, Imbernón, dentre outros, são fundamentais. Os resultados dos levantamentos educacionais podem ser excelentes instrumentos para fomentar a discussão sobre o ensino e a aprendizagem dos estudantes na escola.

Além da Linha Vermelha: um estudo sobre a formação de professores em Física, Química e Matemática na interface das políticas públicas e do mundo do trabalho

Esta pesquisa realiza um estudo sobre a formação de professores em Física, Química e Matemática na dimensão das políticas públicas educacionais e das novas ordenações do mundo produtivo. O eixo metodológico investe na abordagem qualitativa, elegendo como campo empírico o Instituto de Educação, Ciência e Tecnologia do Rio de Janeiro (IFRJ), mais especificamente, o campus Nilópolis, localizado na região da Baixada Fluminense (recorte geopolítico), no Estado do Rio de Janeiro. A técnica de pesquisa baseou-se na realização de entrevistas com licenciandos cujo perfil compreende àquele que tenha realizado atividades de estágio docente. Esta escolha justifica-se por ser este o perfil de estudante mais próximo do término do curso e que, principalmente, através desta experiência, apresenta concepções, ainda que iniciais, da realidade da educação básica. Este estudo investiu na história dos sujeitos participantes através de seus respectivos relatos, onde foi possível categorizá-los em importantes aspectos que se interconectam: 1) na análise das políticas públicas para a educação superior a partir da ênfase na investigação de como estas se efetivam em uma territorialidade e no contexto de uma nova institucionalidade; 2) na reflexão sobre o impacto das transformações do mundo do trabalho na subjetividade dos licenciandos, engendrando a possível atividade docente no cenário de crise de identidades profissionais; e 3) no exame da realidade das escolas da educação básica, espaço onde a formação se destina. Este caminho permitiu refletir sobre o lugar do magistério nas escolhas de formação e nas perspectivas profissionais.

Por uma outra Epistemologia de Formação: Conversas sobre um Projeto de Formação de Professoras no Município de Queimados

Esta tese origina-se da pesquisa de doutoramento realizada por meio do projeto de extensão Conversas entre professores: a prática como ponto de encontro, outra forma de pensar a formação e os currículos praticados no município de Queimados/RJ com professoras da rede municipal. Seu objetivo é pensar uma Epistemologia de Formação Contínua fundamentada no trabalho em sala de aula, na troca de experiências, nas histórias de vida e nos saberes experienciais enredados na vida cotidiana apontando/desinvisibilizando a complexidade que faz parte da vida e do processo de formação que é contínuo assim como os usos e a importância das narrativas nesse processo. Desenvolve-se a partir de uma metodologiapolítica que envolve os cotidianos das salas de aula, as rodas de conversa com narrativas de experiências e de histórias de vida. Defende que a formação se dá continuamente, ou seja, é um processo que começa com o nascimento e se tece por toda a vida dos sujeitos. Para isso, discute tanto a importância das memórias de vida como dispositivo de autoformação, pensando por que o exercício de autoconhecimento é tão importante nessa trajetória quanto a importância que o compartilhamento de experiências, por meio das narrativas, tem na formação contínua. Considera a ideia de que as políticas oficiais de educação se tecem a partir dos embates cotidianos entre diferentes grupos, ou seja, não há uma política separada da prática, há políticaspráticas, o que significa que todas as ações desenvolvidas pelos praticantes das escolas são também fruto de decisões e convicções políticas e expressam valores e objetivos também políticos. Traz ainda discussão acerca do que vem sendo dito em textos oficiais de políticas públicas para a formação continuada no Brasil e de que forma esses textos vêm sendo lidos e usados no município de Queimados. Pretende se apresentar como uma políticaprática contra-hegemônica, que desinvisibliza os cotidianos escolares mostrando que o que parece posto como política de formação contínua é um processo de embates que se tece coletivamente e cotidianamente. Pratica um exercício da suspeita que tem mostrado que há outras maneiras de produzir políticaspráticas de formação que estão enredadas às histórias de vidas das professoras