UNDERSTANDING PARTICIPATION RATES IN POST-16 MATHEMATICS AND PHYSICS: CONCEPTUALISING AND OPERATIONALISING THE UPMAP PROJECT

We report on a project currently in progress that aims to identify through research the range of factors (individual, school and out-of-school, including home) and their interactions that influence post-16 (i.e. post-compulsory) participation in mathematics and physics in the UK and to assess their relative importance among different student populations. In this project, we are beginning to elucidate the views of students and examine the sources of these views by exploring the contexts in which both school and university students experience barriers or opportunities and form their identities with regard to participation in mathematics and physics. Our focus in this paper is on our methodology, the reasons for it and how and why our approach to data collection developed during the project. We situate our work within a mixed-methods approach, using multilevel modelling and discourse analysis to analyse and interpret our findings that derive from our own questionnaires, interviews and ethnography and from existing large-scale datasets. We argue that greater acknowledgement in the education literatures that investigate student participation in mathematics and science needs to be made than is usual of the range of factors, including unconscious forces that may affect participation.     

ENGLISH UNIVERSITIES, ADDITIONAL FEE INCOME AND ACCESS AGREEMENTS: THEIR IMPACT ON WIDENING PARTICIPATION AND FAIR ACCESS

ABSTRACT:  This paper argues that the introduction of access agreements following the establishment of the Office for Fair Access (OFFA) has consolidated how English higher education institutions (HEIs) position themselves in the marketplace in relation to widening participation. However, the absence of a national bursary scheme has led to obfuscation rather than clarification from the perspective of the consumer. This paper analyses OFFA's 2008 monitoring report and a sample of twenty HEIs' original 2006 and revised or updated access agreements (2008) to draw conclusions about the impact of these agreements on notions of 'fair access' and widening participation. The authors conclude that, unsurprisingly in an increasingly market-driven system, institutions use access agreements primarily to promote enrolment to their own programmes rather than to promote system-wide objectives. As a consequence of this marketing focus, previous differences between pre-1992 and post-1992 institutions in relation to widening participation and fair access are perpetuated, leading to both confusion for consumers and an inequitable distribution of bursary and other support mechanisms for the poorest applicants to HE.     

MATHEMATICS EDUCATION VALUES QUESTIONNAIRE FOR TURKISH PRESERVICE MATHEMATICS TEACHERS: DESIGN, VALIDATION, AND RESULTS

The purpose of this study was to develop a questionnaire that could measure preservice mathematics teachers' mathematics educational values. Development and validation of the questionnaire involved a sequential inquiry in which design principles were established from the existing literature and a pool of items was constructed then submitted to experts for consideration of the construct validity. Alterations to the items based on their suggestions were made to produce a trial version of the questionnaire. A pilot study involving preservice mathematics teachers explored the validity and usefulness of the questionnaire. The pilot results were used to revise the questionnaire that was administered to a sample of preservice mathematics teachers attending Cumhuriyet University, Sivas, Turkey. Further explorations of the construct and structural validity, item contributions, and reliability were achieved by using a factor analysis and two different item analysis methods. Results revealed that the questionnaire included four factors, satisfactory item contributions, and acceptable internal consistency. One result obtained in this study suggested that some mathematics education values based on Western culture (e.g., accessibility–special) have not been accepted by Turkish preservice mathematics teachers.     

MATHEMATICS AS AN IM/PURE KNOWLEDGE SYSTEM: SYMBIOSIS, (W)HOLISM AND SYNERGY IN MATHEMATICS EDUCATION

The problem of culturally decontextualised mathematics education faced by Nepali students, teachers and teacher educators has often been oriented by the view of the nature of mathematics as a body of pure knowledge, which gives rise to an exclusive emphasis on an ideology of singularity, epistemology of objectivism, language of universality and logic of certainty whilst developing curriculum, conceiving pedagogies and implementing assessment strategies in school mathematics education and mathematics teacher education programmes. With epistemic referents of dialectical logics and performative imagination, an alternative view of the nature of mathematics as an impure knowledge is discussed with its possible disempowering features, such as essentialism, hegemony and dualisms. Finally, an inclusive view of the nature of mathematics as im/pure knowledge system is articulated with the help of various forms of dialectics.     

PREDICTING MATHEMATICS ACHIEVEMENT: THE INFLUENCE OF PRIOR ACHIEVEMENT AND ATTITUDES

Achievement in mathematics is inextricably linked to future career opportunities, and therefore, understanding those factors that influence achievement is important. This study sought to examine the relationships among attitude towards mathematics, ability and mathematical achievement. This examination was also supported by a focus on gender effects. By drawing on a sample of Australian secondary school students, it was demonstrated through the results of a multivariate analysis of variance that females were more likely to hold positive attitudes towards mathematics. In addition, the predictive capacity of prior achievement and attitudes towards mathematics on a nationally recognised secondary school mathematics examination was shown to be large (R ²  =  0.692). However, when these predictors were controlled, the influence of gender was non-significant. Moreover, a structural equation model was developed from the same measures and subsequent testing indicated that the model offered a reasonable fit of the data. The positing and testing of this model signifies growth in the Australian research literature by showing the contribution that ability (as measured by standardised test results in numeracy and literacy) and attitude towards mathematics play in explaining mathematical achievement in secondary school. The implications of these results for teachers, parents and other researchers are then considered.     

WITNESSING IN THE CLASSROOM: THE ETHICS AND POLITICS OF AFFECT

A bstract .  In this essay, Michalinos Zembylas explores the meaning of affect and its importance to educational efforts to create the classroom conditions necessary for students and teachers to become critical witnesses to trauma and oppression. Zembylas draws out some of the ethical and political possibilities that emerge through such efforts, and extends our thinking about the affective possibilities of witnessing . His aims are threefold: (1) to discuss the nature of affect and the affective economies of witnessing; (2) to show some of the ways in which classrooms and affect interact to produce a particular politics and ethics, especially in contexts of historical trauma; and (3) to provide a sketch of how progressive pedagogies based on witnessing can educate toward an understanding of affect that may encourage a transformative political response.     

EXAMINING THE RELATIONSHIPS AMONG CLASSROOM CLIMATE, SELF-EFFICACY, AND ACHIEVEMENT IN UNDERGRADUATE MATHEMATICS: A MULTI-LEVEL ANALYSIS

For nearly 50 years, leaders in American industry, military, education, and politics have focused considerable attention on STEM (science, technology, engineering, and mathematics) education. Given the increased societal demand for STEM careers, the relationships among classroom climate, self-efficacy, and achievement in undergraduate mathematics needed to be examined. A purposeful sample of college algebra instructors (n = 15), employed at public 4-year universities in various states (n = 10) across the nation, was administered the Principles of Adult Learning Scale at the beginning of the semester to assess classroom climate. At the end of the course semester, their college algebra students (n = 326) were administered the Mathematics Self-Efficacy Scale-Revised and final college algebra examinations. The results of the multi-level analysis indicated: (a) students having higher mathematics self-efficacy also had higher mathematics achievement, (b) teacher-centered classroom climates had greater mathematics self-efficacy levels, (c) classroom climate was not a significant predictor of mathematics achievement, (c) classroom climate did not moderate the relationship between mathematics self-efficacy and achievement, and (d) although boys reported higher mathematics self-efficacy than girls, gender differences were not found to exist in regard to mathematics achievement.     

SCIENTIFIC STUDY GROUPS,SEMINARS, AND SCHOOLS IN ROMANIAN HIGHER EDUCATION IN MATHEMATICS

This article describes certain less visible but very significant basic units which have arisen in the discipline of mathematics in Romanian universities in parallel to the highly visible structure of chairs, departments, faculties, laboratories, institutes, and the like. These units: study groups, seminars, and schools of thought have grown up around the work of certain talented, original, and prolific thinkers and have been perpetuated by the students of the latter. In particular, these units have been very successful in inculcating an attitude favourable to research in beginning students, even having stimulated some of them, including students still in high school, to undertake research projects which have given very interesting results.     

THE BORDER CROSSED US: EDUCATION, HOSPITALITY POLITICS, AND THE SOCIAL CONSTRUCTION OF THE ILLEGAL IMMIGRANT

In this essay, Dennis Carlson explores some of the implications of Derrida's hospitality politics in helping articulate a progressive response to a rightist cultural politics in the United States of policing national, linguistic, and other borders. He applies the concept of hospitality politics to a critical analysis of the social construction of the problem of illegal immigrants in U.S. public schools. This entails a discussion of three interrelated discourses and practices of hospitality: a universalistic discourse of philosophical and religious principles, a legalistic-juridical discourse, and a discourse and practice grounded in the ethos of everyday life. Derrida suggested that a democratic cultural politics must interweave these three discourses and also recognize the limitations of each of them. Moreover, a democratic cultural politics must be most firmly rooted in the praxis of ethos, and in the ethical claims of openness to the other.     

HOMEWORK AND MATHEMATICS ACHIEVEMENT IN HONG KONG: EVIDENCE FROM THE TIMSS 2003

Though it is generally believed that doing homework promotes better learning, no consensus has been achieved concerning its importance and relevance to students’ achievement. The historical up-and-down status of public attitudes toward homework indicates that understanding about the role of homework in students’ learning is far from comprehensive and clear. The literature shows that much research effort has been devoted to the relationship between amount of homework and achievement, but little on quality of homework and how it has been used. Applying a 2-level hierarchical linear model on the TIMSS 2003 data, this study investigated the relationship between classroom practices on homework and 8th grade students’ mathematics achievement in Hong Kong in three dimensions: frequency and amount of homework, types of homework, and usage modes of homework. The results showed that while the time spent on daily mathematics homework had significantly positive effect on students’ TIMSS results, no effect was observed on the frequency of homework assigned. Out of three types of homework, only homework of the problem/question type demonstrated significant effect. The practice of having students start homework in class had negative influence on students’ learning outcome. Implications and suggestions for educational practice and future research were then discussed.