Early years teachers’ attitudes towards mathematics

Worldwide, there is considerable attention to providing a supportive mathematics learning environment for young children because attitude formation and achievement in these early years of schooling have a lifelong impact. Key influences on young children during these early years are their teachers. Practising early years teachers‟ attitudes towards mathematics influence the teaching methods they employ, which in turn, affects young students‟ attitudes towards mathematics, and ultimately, their achievement. However, little is known about practising early years teachers‟ attitudes to mathematics or how these attitudes form, which is the focus of this study. The research questions were: 1. What attitudes do practising early years teachers hold towards mathematics? 2. How did the teachers‟ mathematics attitudes form? This study adopted an explanatory case study design (Yin, 2003) to investigate practising early years teachers‟ attitudes towards mathematics and the formation of these attitudes. The research took place in a Brisbane southside school situated in a middle socio-economic area. The site was chosen due to its accessibility to the researcher. The participant group consisted of 20 early years teachers. They each completed the Attitude Towards Mathematics Inventory (ATMI) (Schackow, 2005), which is a 40 item instrument that measures attitudes across the four dimensions of attitude, namely value, enjoyment, self-confidence and motivation. The teachers‟ total ATMI scores were classified according to five quintiles: strongly negative, negative, neutral, positive and strongly positive. The results of the survey revealed that these teachers‟ attitudes ranged across only three categories with one teacher classified as strongly positive, twelve teachers classified as positive and seven teachers classified as neutral. No teachers were identified as having negative or strongly negative attitudes. Subsequent to the surveys, six teachers with a breadth of attitudes were selected from the original cohort to participate in open-ended interviews to investigate the formation of their attitudes. The interview data were analysed according to the four dimensions of attitudes (value, enjoyment, self-confidence, motivation) and three stages of education (primary, secondary, tertiary). Highlighted in the findings is the critical impact of schooling experiences on the formation of student attitudes towards mathematics. Findings suggest that primary school experiences are a critical influence on the attitudes of adults who become early years teachers. These findings also indicate the vital role tertiary institutions play in altering the attitudes of preservice teachers who have had negative schooling experiences. Experiences that teachers indicated contributed to the formation of positive attitudes in their own education were games, group work, hands-on activities, positive feedback and perceived relevance. In contrast, negative experiences that teachers stated influenced their attitudes were insufficient help, rushed teaching, negative feedback and a lack of relevance of the content. These findings together with the literature on teachers‟ attitudes and mathematics education were synthesized in a model titled a Cycle of Early Years Teachers’ Attitudes Towards Mathematics. This model explains positive and negative influences on attitudes towards mathematics and how the attitudes of adults are passed on to children, who then as adults themselves, repeat the cycle by passing on attitudes to a new generation. The model can provide guidance for practising teachers and for preservice and inservice education about ways to foster positive influences to attitude formation in mathematics and inhibit negative influences. Two avenues for future research arise from the findings of this study both relating to attitudes and secondary school experiences. The first question relates to the resilience of attitudes, in particular, how an individual can maintain positive attitudes towards mathematics developed in primary school, despite secondary school experiences that typically have a negative influence on attitude. The second question relates to the relationship between attitudes and achievement, specifically, why secondary students achieve good grades in mathematics despite a lack of enjoyment, which is one of the dimensions of attitude.

The QUTeach@Redcliffe program

The QUTeach@Redcliffe program enables senior secondary students from a disadvantaged region of Queensland to commence teacher education degrees while completing school. Introduced in mid-2008, QUTeach is a collaboration between Queensland University of Technology and Queensland’s Bays Cluster of State High Schools. It is currently in pilot form. The program emerged as the result of equity concerns in relation to students who face barriers to university entrance, in terms of social, racial or financial disadvantage. It was also motivated by a desire to generate a stream of new teachers who come from the region and understand its circumstances, and who can relate well to the school students they teach. Rather than learning as individuals on a university campus, students in the program are taught as a class so that they can learn from one another as well as from their instructors. The classes are conducted two evenings per week on the premises of Redcliffe State High School, which is more familiar and easier to access than the university campus. However, the students also attend the QUT’s Kelvin Grove campus one or two days each semester to familiarise themselves with the university environment and participate in lectures on campus.

Generation workshop 2010

The Generation Workshop Program 2010, a part of the Queensland Government Unlimited: Designing for the Asia Pacific Event Program, consisted of two one-day intensive design thinking workshops run on October 7-8, 2011 at The Edge, State Library of Queensland, for 100 senior secondary students and 20 secondary teachers self-selected from the subject areas of Visual Art, Graphics and Industrial Technology and Design. Participants were drawn from a database of Brisbane and regional Queensland private and public schools from the goDesign and Living City Workshop Programs. The workshop aimed to facilitate awareness in young people of the role of design in society and the value of design thinking skills in solving complex problems facing the Asia Pacific Region, and to inspire the generation of strategies for our future cities. It also aimed to encourage the collaboration of professional designers with secondary schools to inspire post-secondary pathways and idea generation for education. Inspired by international and national speakers Bunker Roy (Barefoot College) and Hael Kobayashi (Associate Producer on "Happy Feet" film for Australia's Animal Logic), the Unlimited showcase exhibition Make Change: Design Thinking in Action and ‘Idea Starters’/teaching resources provided, students worked with a teacher in ten random teams, to generate optimistic strategies for the Ideal City of tomorrow, each considering a theme – Food, Water, Transport, Ageing, Growth, Employment, Shelter, Health, Education and Energy. Each team of 6 was led by a professional designer (from the discipline of architecture, interior design, industrial design, urban design, graphic design or landscape architecture) who was a catalyst for driving the student creative thinking process. Assisted by illustrators, the teams prepared a visual presentation of their idea from art materials provided. The workshop culminated in a video-taped interactive design chatter to the larger group, which will be utilised as a toolkit and praxis for teachers as part of the State Library of Queensland Design Minds Project. Photos of student design work were published on the Unlimited website.

Interface design in interactive science courseware for the Malaysian Smart School Project

With the goal of improving the academic performance of primary and secondary students in Malaysia by 2020, the Malaysian Ministry of Education has made a significant investment in developing a Smart School Project. The aim of this project is to introduce interactive courseware into primary and secondary schools across Malaysia. As has been the case around the world, interactive courseware is regarded as a tool to motivate students to learn meaningfully and enhance learning experiences. Through an initial pilot phase, the Malaysian government has commissioned the development of interactive courseware by a number of developers and has rolled this courseware out to selected schools over the past 12 years. However, Ministry reports and several independent researchers have concluded that its uptake has been limited, and that much of the courseware has not been used effectively in schools. This has been attributed to weaknesses in the interface design of the courseware, which, it has been argued, fails to accommodate the needs of students and teachers. Taking the Smart School Project's science courseware as a sample, this research project has investigated the extent, nature, and reasons for the problems that have arisen. In particular, it has focused on examining the quality and effectivity of the interface design in facilitating interaction and supporting learning experiences. The analysis has been conducted empirically, by first comparing the interface design principles, characteristics and components of the existing courseware against best practice, as described in the international literature, as well as against the government guidelines provided to the developers. An ethnographic study was then undertaken to observe how the courseware is used and received in the classroom, and to investigate the stakeholders' (school principal, teachers and students') perceptions of its usability and effectivity. Finally, to understand how issues may have arisen, a review of the development process has been undertaken and it has been compared to development methods recommended in the literature, as well as the guidelines provided to the developers. The outcomes of the project include an empirical evaluation of the quality of the interface design of the Smart School Project's science courseware; the identification of other issues that have affected its uptake; an evaluation of the development process and, out of this, an extended set of principles to guide the design and development of future Smart School Project courseware to ensure that it accommodates the various stakeholders' needs.

goDesign Express 2011 Workshop

The goDesign Express 2011 Workshop was a design immersion workshop run by the Queensland University of Technology (QUT) Built Environment and Engineering Faculty during three weeks of 70-minute art class periods/sessions in August/September 2011 at Morayfield State High School, for 80 Grade 10 and 64 Grade 11 art students and two teachers, and October 2011 at Narangba Valley State High School for 60 Grade 10 and 30 Grade 11 art students and two teachers. Funded and administrated through QUT’s Widening Participation Program, which supports outreach activities to increase tertiary enrolments for under represented groups (such as low-SES, rural and indigenous students), the program utilised two activities from Day 1 of the highly successful 3-day goDesign Travelling Workshop Program for Regional Secondary Students (http://eprints.qut.edu.au/47747/). In contrast to this program, which was facilitated by two tertiary design educators, the goDesign Express 2011 Workshop was facilitated primarily by three tertiary interior design/architecture students, with assistance from a design educator. This action research study aimed to facilitate an awareness in young people, of the value of design thinking skills in generating strategies to solve local community challenges. It also aimed to investigate the value of collaboration between secondary school students and teachers, and tertiary design students and educators, in inspiring post-secondary pathways for school students, professional development for schoolteachers, and alternative career prospects and leadership skills for tertiary design students. During the workshop, secondary students and teachers explored, analysed and reimagined their local community through a series of scaffolded problem solving activities around the theme of ‘place’. Students worked individually and in groups designing graphics, fashion and products, and utilising sketching, making, communication, collaboration and presentation skills to improve their design process, while considering social, cultural and environmental opportunities for their local community. The workshop was mentioned in a news article in the local Caboolture Shire Herald newspaper.

The BRAKE Driver Awareness Program & Senior Health Education

The BRAKE Driver Awareness Program provides evidence-based behaviour, risk, attitude and knowledge education for young drivers. BRAKE was founded during 2006 by Queensland Police Sergeant Rob Duncan and has been delivered to more than 35,000 senior secondary students since 2007. BRAKE is a participant directed program supported by resources provided at no cost. It includes eight parts able to be delivered in different configurations. BRAKE is endorsed by the Queensland Police and Queensland Ambulance Services. It is recognised by the Queensland Studies Authority as a Queensland Certificate of Education registered life skills course. This session is a must attend for secondary teachers, coordinators, staff in senior leadership positions and other stakeholders seeking a unique approach to adolescent road safety education. It will conclude with an opportunity to consider how BRAKE can be integrated into the senior secondary Health Education curriculum or pastoral care, social action and personal development programs.

Student knowledge of curriculum literacies as they enter high school

This study explores students' perceptions of their learning, particularly their knowledge of writing, in their first year of high school. Conducted in a large regional high school, the researcher worked with two Year 8 teachers in the subjects of English, Science and History to apply Systemic Functional Linguistics in the development of lessons with a specific focus on writing. This Design Based Research project revealed how external and internal factors are impacting on teachers' abilities to improve students' knowledge and understandings of how specific subjects organise and represent information, particularly through writing.

Focusing on what counts: Using exploratory focus groups to enhance the development of an electronic survey in a mixed-methods research design

This paper describes the use of exploratory focus groups to inform the development of a survey instrument in a sequential phase mixed methods study investigating differences in secondary students’ career choice capability. Five focus groups were conducted with 23 year 10 students in the state of New South Wales (NSW), Australia. Analysis of the focus group data informed the design of the instrument for the second phase of the research project: a large-scale cross-sectional survey. In this paper, we discuss the benefits of using sequential phase mixed method approaches when inquiring into complex phenomena such as human capability.

El autoconcepto social y el rendimiento académico en la educación artística escolar del alumnado preadolescente

[EN] This correlational study aims to analyse the relationship of the social dimension of the selfconcept with age, educational level, sex and with the academic performance, understood as qualification and as artistic understanding of a group of primary and secondary students. The results show, generally, negative relationship between social self-concept and demographic variables, while statistically significant, although of opposite sign, of the social self-concept with the qualification in the field and with the artistic understanding respectively.

Irakurriaren ulermenaren zailtasunak bigarren hezkuntzan

(FR)Ce texte reprend la question de la compréhension de lecture et la faible note que nos étudiants du secondaire donnent à ce secteur, d’après PISA. De plus en plus de voix s’élèvent pour réclamer que la compréhension de lecture soit une des tâches de tous les professeurs et plus seulement des professeurs de langue et littérature. Lors de la préparation au métier d’enseignant, de plus en plus de cours sont organisés en rapport avec cette question de plus en plus préoccupante dans ce secteur. Les données sont celles-ci et toutes les tentatives pour résoudre ce problème semblent insuffisantes si on ne reprend pas la question au niveau du Curriculum et si on prépare les professeurs aux stratégies de lecture pour que les élèves parviennent à être des lecteurs compétents.

A proposal of categorisation for analysing inductive reasoning

We present an analysis of the inductive reasoning of twelve Spanish secondary students in a mathematical problem-solving context. Students were interviewed while they worked on two different problems. Based on Polya´s steps and Reid’s stages for a process of inductive reasoning, we propose a more precise categorization for analyzing this kind of reasoning in our particular context. In this paper we present some results of a wider investigation (Cañadas, 2002).

Inductive reasoning in the justification of the result of adding two even numbers

In this paper we present an analysis of the inductive reasoning of twelve secondary students in a mathematical problem-solving context. Students were proposed to justify what is the result of adding two even numbers. Starting from the theoretical framework, which is based on Pólya’s stages of inductive reasoning, and our empirical work, we created a category system that allowed us to make a qualitative data analysis. We show in this paper some of the results obtained in a previous study.

Graphical representation and generalization in sequences problems

In this paper we present different ways used by Secondary students to generalize when they try to solve problems involving sequences. 359 Spanish students solved generalization problems in a written test. These problems were posed through particular terms expressed in different representations. We present examples that illustrate different ways of achieving various types of generalization and how students express generalization. We identify graphical representation of generalization as a useful tool of getting other ways of expressing generalization, and we analyze its connection with other ways of expressing it.

Pensar e filosofar a partir do problema da existência de Deus

Relatório da Prática de Ensino Supervisionada, Mestrado em Ensino de Filosofia, Universidade de Lisboa, 2010