Reciprocity of inter-ethnic attitudes in a multicultural society

A national survey of multicultural and ethnic attitudes in Canada was conducted in 1974 (n = 1849). Data were analysed for the 1244 respondents whose ethnicity could be determined as Angloceltic, French, German, Italian or Ukrainian Canadian, A five group by five group intergroup attitude matrix was created, with each group acting both as attitude object and as holder of attitudes. Analysis indicated the existence of reciprocity or balance in the matrix: groups tended to reflect the attitude held toward them back onto the group holding the attitude. However this structural balance was moderated by the existence of shared attitudes about the position of a group in the national ethnic hierarchy. Further analysis indicated the existence of ethnocentrism in the matrix: attitudes toward ingroup and positive reference groups were more positive than toward out-groups. Perceived intergroup similarity and familiarity were positively correlated with each other and with intergroup acceptance. Results were discussed in relation to attitude balance theory and ethnocentrism theory, and in their implication for intergroup research in multicultural societies.     

Finding Common Ground: A Synthesis of Science and Mathematics Teacher Educators’ Experiences with Professional Growth

The seven articles that comprise this Special Issue examine the professional growth of mathematics and science teacher educators across different contexts and different foci of who is the teacher educator being studied. Despite these differences, a common thread running throughout these seven articles is the need for learning to be situated in collaboration with others. In this final article, we examine the contribution of these articles through two perspectives: that of the collaborative contexts supporting the professional growth of mathematics and science teacher educators, and the role of disciplinary knowledge as part of the purpose for teacher educators’ professional growth. We notice that collaboration can take on very different structures in supporting teacher educators’ professional learning due to the different purposes and roles of the teacher educators in the studies. We also notice that while collaboration figures as an important component in all of the studies, the disciplinary specific aspects of collaboration, i.e., how collaboration might be negotiated differently by teacher educators in mathematics and science, is still not well understood. Overall, these articles provide important insights that help to shed new light on the complex and multifaceted nature of teacher educators’ learning and growth and provide productive avenues for future research.

     

One and One is Sometimes Three in Small Group Mathematics Learning

In recent years, Mathematics teaching has been confronted by demands for higher standards and better pupil achievement in several parts of the world. Researchers have suggested the shift from teacher‐centred instruction towards more active participatory learning methods as one way to improve the quality of the teaching and learning process. The tension between whole‐class teaching versus small group learning in Mathematics has been particularly apparent in many education systems. This article analyses the development of Mathematics teaching by asking whether small group learning is an effective arrangement in teaching school Mathematics. We conclude that although there is no unanimity about the affects of small group learning on student achievement in school Mathematics, it seems that it produces at least equal academic outcomes among all students compared to more traditional methods of instruction. Working in pairs is a particularly effective form of learning Mathematics and that small groups are beneficial for developing mathematical problem‐solving skills. We also conclude that the present educational policies and increased quality assurance structures in many countries conflict, or are not consistent with scientific‐professional thinking and research on the teaching of Mathematics.     

An Objectivist Critique of Relativism in Mathematics Education

Many constructivists tag as `absolutist' references to mathematics as an abstract body of knowledge, and stake-out the moral high-ground with the argument that mathematics is not only utilised oppressively but that mathematics is, in-itself, oppressive. With much reference to Ernest's (1991) Philosophy of Mathematics Education this tag has been justified on the grounds that if mathematics is a social-cultural creation that is mutable and fallible then it must be social acceptance that confers the objectivity of mathematics. This paper argues that mathematics, albeit a social-cultural creation that is mutable and fallible, is a body of knowledge the objectivity of which is independent of origin or social acceptance. Recently, Ernest (1998) has attempted to express social constructivism as a philosophy of mathematics and has included the category of logical necessity in his elaboration of the objectivity of mathematics. We argue that this inclusion of logical necessity not only represents a U-turn, but that the way in which Ernest has included this category is an attempt to maintain his earlier position that it is social acceptance that confers the objectivity of mathematics.     

Methods of analysis and overall mathematics teaching quality in at-risk prekindergarten classrooms

Research Findings: This study analyzed the quality of teacher–child interactions across 10 videotaped observations drawn from 5 different prekindergarten classrooms delivering the same mathematics curriculum: MyTeachingPartner–Math. Interactions were coded using 2 observational measures: (a) a general measure, the Classroom Assessment Scoring System (CLASS); and (b) a math-specific measure, the Classroom Observation of Early Mathematics–Environment and Teaching (COEMET). Practice or Policy: High correlations were found between the 2 measures, suggesting that the CLASS may serve as a sufficient metric to determine the quality of mathematics instruction in prekindergarten, though the COEMET may provide finer grained detail about teachers’ practice. Results indicate that the quality of mathematics instruction provided by teachers generally fell in the low- to medium-quality range and did not differ significantly across curriculum-related contextual factors.     

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.     

教育男生和女生:对性别平等教育的启示

性别平等教育长期被视作教育中的次要问题,教育学界对此也存在不少误解。“零和式”的教育使性别平等问题走向了极端。性别平等教育的目标不仅使女生享有平等的教育的机会,同时也使男生受益。打破教育体制中固有的性别成见才是实现平等教育的根本途径。     

A Dual Effect of Pictorial Enrichment in Learning from Television News: Gunter's data revisited

An impairing effect of TV visuals reported by Gunter in this journal in 1980 appears to be inconsistent with other recent findings, which have suggested beneficial effects of still and film visualisations on news learning. Re‐examination of Gunter's data reveals that visual enrichment of news stories influenced learning in two distinct ways. Pictures reduced the recall of concurrently presented spoken information, but at the same time enhanced the recall of information presented in ‘talking head’ lead‐ins which preceded them.