‘Crossing’ the equals sign: insights into pre-service teachers’ understanding of linear equations

This paper reports on an exploratory study designed to determine and enhance the conceptual understanding of a group of pre-service mathematics teachers at one Irish university utilizing an established framework for understanding mathematics. 23 students on a one year Professional Diploma in Mathematics Education participated in the study, which involved the distribution of a pre- and post-test and engagement in a ten week intervention designed to enhance their subject matter knowledge (SMK) and pedagogical content knowledge (PCK). The findings highlight that although there was an improvement in overall conceptual understanding across the entire cohort at the end of the intervention, within certain mathematical topics there was a statistically insignificant improvement and many deep-rooted issues remain. In this paper we focus on the pre-service teachers’ understanding of elementary algebra, in particular, how to solve a linear equation.     

Meaningful evaluation of sex and relationship education

Effective sex and relationship education promotes agency and targets sexual practice as it is socially produced. The aim of evaluation therefore is to contribute to good sexual health through identifying when and how education is promoting agency and changes in sexual practice. Good evaluation takes account of the complexities of the specific object being addressed—sexual practice—which is fluid and essentially social. Innovative study design and the use of rigorous and transparent methods enable evaluators to track and understand the slow, unsteady and sometimes unpredictable mechanisms of change. The data gathered (both quantitative and qualitative) require interpretation, and interpretations inform the development of sex and relationship education programmes. Randomised controlled trials do not meet these criteria of meaningful evaluation, nor do evaluations of one‐off interventions. This paper considers the role of cross‐sectional and longitudinal surveys, in‐depth qualitative studies, and reviews in evaluating whether education works, how it works, how its messages are being actively taken up and transformed by the target population, and in informing the development of future education.     

Does equal access mean treat the same? From theory to practice in the classroom of English as an Additional Language learner in Ireland – towards a transformative agenda

While a substantial body of research exists on First- and Second-Language Acquisition (SLA), research on the language acquisition process that a language minority student goes through when they are acquiring a second language has been largely unexplored. Pedagogical practices that espouse language learning theories facilitate both the language development and integration of the language minority child into the classroom. This paper will look at various linguistic variables within the field of SLA which are of particular relevance to the language acquisition process of such students in an Irish context. By embedding these linguistic factors into pedagogical practices, educators can engage with a transformative framework which will not only aid their linguistic and cognitive development, but will also empower the students by developing their critical language skills and facilitate their ability to access the mainstream curriculum.     

Teaching mathematics after hours

The quantum of instruction time allocated to curriculum subjects such as mathematics facilitates greater exposure to knowledge and skill development, leading to higher levels of achievement. There are a number of manifestations of time to consider when investigating the quantum of time in mathematics education. The OECD have investigated the time allocated to mathematics by schools internationally, while also reporting on the prevalence of private tuition and time spent on homework. However, to date, no attention has been afforded to the provision of ‘hidden curriculum time’ for mathematics. This study seeks to advance the work of the OECD and describes a case study that sought to ascertain if teachers in Ireland provide additional mathematics lessons outside of school hours. The authors examined how prevalent this practice is, how many additional minutes some students receive as a result of this practice and ascertained teachers’ reasons for providing/not providing these additional mathematics classes. The results from this case study show that the majority of teachers at Senior Cycle provide these classes while a large proportion of Junior Cycle teachers also do. In extreme cases, these additional classes expose students to an additional 88.3 h of mathematics over the two-year Senior Cycle programme.     

A cross-cultural study of possible iatrogenic effects of gifted education programs: tenth graders’ perceptions of academically high performing classmates

Previous empirical studies have yielded inconclusive results about peer perceptions of academically high performing students. The purpose of this study was to investigate students’ perceptions of the intellectual ability, positive social qualities, and popularity of a hypothetical new high performing classmate. Participants were 1060 Vietnamese, South Korean, British, Australian, Peruvian, and Spanish boys and girls in 10th grade. The results revealed that the perceptions of academically high performing classmates differed by country group. Positive perceptions of intellectual ability and social qualities were commonly found in all countries except the two Asian countries (Vietnam and South Korea), where the students reported more neutral views of high performers. In conclusion, it is argued that there is no evidence for possible iatrogenic effects of gifted education programs aiming at high achievements     

Students as Partners in Peer Mentoring: Expectations,Experiences and Emotions

Innovative Higher Education - Increasing emphasis in recent years has been placed on how faculty, staff and students in higher education can be drawn into more collaborative learning relationships...     

Cultural diversity in the curriculum: perceptions and attitudes of Irish hospitality and tourism academics

Academics are facing significant challenges in preparing indigenous students for employment in the multicultural working environment of hospitality and tourism organisations. In dealing with the impact of the new skills and flexibilities demanded by increasing globalisation, the indigenous workforce needs to possess a multicultural perspective and the adaptive skills and mindsets to integrate more inclusively in diverse work settings. This article explores the nature of cultural diversity within the Irish hospitality and tourism workforce (in both Northern Ireland and the Republic of Ireland). An attempt is made to identify the challenges that hospitality and tourism educators face in implementing education for cultural diversity within the curriculum in order to prepare indigenous students (and indeed local industry staff) for employment within a multicultural workforce. The main themes analysed include: training requirements; educators’ requirements; programme content and learning outcomes; assessment methods; and methods of programme delivery.     

Primary school teachers’ experiences of external providers in Ireland: learning lessons from physical education

There is an increasing trend towards the use of external providers in primary schools. The added value of external providers in enhancing aspects of children’s learning is supported in the physical education literature. Less is known, however, about the experiences of classroom teachers working with these external providers. To address this gap and guided by the question ‘What are primary school teachers experiences of external providers?’ we conducted qualitative semi-structured interviews with primary school classroom teachers who had used external physical education providers (n?=?10). A thematic analysis of the data involved systematic coding from which themes were constructed. Findings alert to the limited partnership between classroom teachers and external providers currently. Teachers’ perceptions of external providers as having greater expertise resulted in classroom teachers engaging minimally in communicating with external providers and taking little part in lessons taught by the external provider. Overall findings indicate communication and involvement in pedagogical decision making as areas to address in reconceptualising the relationship between classroom teachers and external providers.