Collaborative action research on the learning and teaching of algebra: a story of one mathematics teacher's development

This paper presents the story of a mathematics teacher's transformation that resulted from her engagement in collaborative action research. The collaborative research, conducted by a university mathematics educator and an eighth-grade mathematics teacher (Marylin), centered on investigating the outcomes of implementing a Hands-On Equations approach to teaching algebra. This algebraic study, which is briefly reported herein, serves as a vehicle for examining the questions, reflections, and changes brought forth by Marylin throughout the collaborative process. Thus, the project of investigating the teaching and learning of algebra can be viewed as the sub-study within the broader study of the effects of collaborative action research on the mathematics teacher involved in the investigation. Within this paper, issues related to the broader study of collaborative action research in the mathematics classroom, that are connected to Marylin's transformation, are discussed. These issues include the characterization of and goals for collaborative action research as well as the challenges for collaborative action research in mathematics classrooms.This revised version was published online in September 2005 with corrections to the Cover Date.     

‘I’m more confident now,I was really quiet’: exploring the potential benefits of child-led research

This article explores whether child-led research (CLR) benefits the well-being of the children and young people involved. The article draws upon evaluation data from a pilot CLR programme facilitated by a non-government organisation that supports disadvantaged children, young people and families. Nine participants (aged 10–14 years old) volunteered for the CLR programme, conducted over 18 weeks, which involved learning about and undertaking their own research on a topic of their choosing. The programme was externally evaluated both in terms of process and outcomes so as to gain insights into what is involved in CLR and any potential benefits it might offer for participants. The discussion explores a range of positive benefits for children whilst also signalling the challenges involved in planning, implementing and evaluating such initiatives, not least of which is the difficulty in scaling up this kind of research, given its resource-intensive nature.     

Children's conceptions of probability — A psychological and pedagogical review

This paper identifies a number of key questions concerning children's understanding of probability. A selection of psychological and pedagogical research studies is evaluated. Attention is drawn to the various definitions of probability assumed by their authors, indicating the relevance of these to an understanding and synthesis of the reported findings. The possibility of basing relevant classroom practice on subjective rather than theoretical concepts of probability is discussed.     

LEARNING TO BE IN PUBLIC SPACES: IN FROM THE MARGINS WITH DANCERS, SCULPTORS, PAINTERS AND MUSICIANS

ABSTRACT:  This article reports research in three Nottingham schools, concerned with (1) 'The school as fertile ground: how the ethos of a school enables everyone in it to benefit from the presence of artists in class'; (2) 'Children on the edge: how the arts reach those children who otherwise exclude themselves from class activities, for any reason' and (3) 'Children's voices and choices: how even very young children can learn to express their wishes, and then have them realised through arts projects'. The research methodology was rooted in two modes of inquiry, philosophical investigation and action research. The article draws on this research to argue that arts-based work in school has helped disadvantaged and/or disaffected children to engage in activities (both arts-based and others), and to be able to lay the groundwork for exercising voice and agency as they did so. If social justice is to flourish there is a need for particular kinds of public spaces and a need to create conditions such that children can learn to participate in those spaces, whether or not they are comfortable with the usual settings for 'rational argument' or 'deliberative democracy'. It is suggested that arts-based education, in some forms, is one good way of creating these conditions.     

Paving the Pathway: Exploring Student Perceptions of Professional Development Preparation in Doctoral Education

The breadth of doctoral education has expanded to include professional development activities in order to prepare students for academic and nonacademic careers. This mixed methods study focused on students’ perceptions of professional development opportunities at a Research One university. The findings suggest that most students feel prepared in scholarly-related activities; but they identify gaps in areas such as preparation for grant writing, teaching, and leading research teams. Statistically significant differences in perceived preparation were noted among disciplines. We offer suggestions for future research in doctoral professional development and recognize the need to expand and diversify centralized, institution-based resources so as to pave the pathway to successful careers for graduate students.     

Longitudinal Genetic Analysis of Early Reading: The Western Reserve Reading Project

We examined the genetic and environmental contribution to the stability and instability of reading outcomes in early elementary school using a sample of 283 twin pairs drawn from the Western Reserve Reading Project. Twins were assessed across two measurement occasions. In Wave 1, children were either in kindergarten or first grade. Wave 2 assessments were conducted one year later. Results suggested substantial genetic stability across measurement occasions. Additionally, shared environmental influences also accounted for stability, particularly for variables more closely tied to direct instruction such as phonological awareness, letter knowledge, and word knowledge. There was also evidence for independent genetic and shared environmental effects, suggesting that new sources of variance may emerge as the demands of school change and children begin to acquire early reading skills.     

Masculinity, Femininity, and Sex Role Attitudes in Early Adolescence: Exploring Gender Intensification

This longitudinal study of 200 young adolescent girls and boys (mean age 11.6 years in sixth grade) investigated the hypothesis that differences in masculinity, femininity, and sex role attitudes would intensify across the sixth, seventh, and eighth grades (between 11 and 13 years of age) and that pubertal timing (early, on time, late) would play a role in this intensification. Analyses revealed that sex differences in masculinity and sex role attitudes increased across grades, but not sex differences in femininity. Pubertal timing was not associated with this gender divergence, although the evidence is equivocal for boys. The results provide support for gender intensification, but the role of pubertal timing may not be as strong as previously supposed.     

A study of an adapted social–emotional learning: Small group curriculum in a school setting

Clinicians and training programs strive to implement evidence‐based practices and manualized treatments with fidelity. However, the constraints of a local setting may limit the extent to which this is possible. In the current study, an adapted model of an evidence‐based social–emotional learning small group curriculum, the Incredible Years Children’s Small Group Training Series (Webster‐Stratton, 2004), was implemented and evaluated in an elementary school setting. Results of the study demonstrated statistically significant decreases in problem behaviors and intensity of problem behaviors, as rated by teachers. Teachers also reported improvement in classroom behavior, emotion regulation, problem‐solving, and friendship skills, as well as a high overall level of satisfaction with the intervention itself. Discussion of the results includes a review of the strengths and limitations associated with outcome research in a naturalistic setting, suggestions to consider when adapting evidence‐based programs, and recommendations for future research.     

“Beyond Bali”: a transformative education approach for developing community resilience to violent extremism

The Bali bombings of 2002 and 2005 confronted Australia and its neighbours directly for the first time with the dangers of violent extremism. Since then, the Bali Peace Park Association (BPPA), consisting of former victims, their families and other interested parties, has been lobbying for the creation of the “Bali Peace Park” to be built on one of the bombing sites. Peace parks have been conceived as community-driven projects against violent extremism, and the planned Bali Peace Park embodies this principle. In 2012, the BPPA initiated “Beyond Bali”, an ambitious and highly relevant curriculum development project, and secured funding from the Australian Attorney General’s Department. Drawing on the expertise of a counter-terrorism expert, two university education experts and the first-hand experiences of victims and their families, the Beyond Bali curriculum package was created. Beyond Bali covers a range of topics and activities, including social science studies and ethical dilemma learning, is suitable for Years 8 and 9 students studying the Australian Curriculum, and is available for free from the BPPA: http://www.balipeacepark.com.au/beyond-bali-education-package.html. In this paper we position Beyond Bali as a transformative education resource within the fields of peace and global education and argue that it embodies UNESCO’s “learning to be” principle.