Mathematical images in advertising: constructing difference and shaping identity, in global consumer culture

Mathematics educators have long emphasised the importance of attitudes, beliefs, and feelings towards mathematics, as crucial in motivating (or not) its learning and use, and as influenced in turn by its social images. This paper is about images of mathematics. Our search for advertisements containing such images in UK daily newspapers, during 2006–2008, found that 4.7 % of editions included a “mathematical” advert, compared with 1.7 % in pilot work for 1994–2003. The incidence varied across type of newspaper, being correlated with class and gender profiles of the readership. Three quarters of advertisements were classified as containing only very simple mathematics. ‘Semiotic discursive’ analysis of selected advertisements suggests that they draw on mathematics not to inform, but to connote qualities like precision, certainty, and authority. We discuss the discourse on mathematics in advertising as ‘quasi-pedagogic’ discourse, and argue that its oversimplified forms, being empty of mathematical content, become powerful means for regulating and ‘pedagogising’ today's global consumers.     

Development of Category‐Based Induction and Semantic Knowledge

Category‐based induction is a hallmark of mature cognition; however, little is known about its origins. This study evaluated the hypothesis that category‐based induction is related to semantic development. Computational studies suggest that early on there is little differentiation among concepts, but learning and development lead to increased differentiation based on taxonomic relatedness. This study reports findings from a new task aimed to (a) examine this putative increase in semantic differentiation and (b) test whether individual differences in semantic differentiation are related to category‐based induction in 4‐ to 7‐year‐old children (N = 85). The results provide the first empirical evidence of an age‐related increase in differentiation of representations of animal concepts and suggest that category‐based induction is related to increased semantic differentiation.     

Effects of Mexican Immigrant Parents’ Daily Workplace Discrimination on Child Behavior and Family Functioning

This study investigated Mexican immigrant parents’ reports of perceived workplace discrimination and their children's behavior, parents’ moods, and parent–child interactions. Parents of one hundred and thirty‐eight 3‐ to 5‐year‐old children were asked to complete one survey daily for 2 weeks (N = 1,592 days). On days when fathers perceived discrimination, fathers and mothers reported more externalizing child behaviors, and mothers reported fewer positive child behaviors. When mothers perceived discrimination, they reported more externalizing child behaviors; fathers reported more internalizing child behaviors. Parents reported worse mood on days with perceived discrimination. Perceived discrimination was not strongly related to parent–child interactions. For fathers, but less so for mothers, those whose psychological acculturation indicated separation had more negative relations between daily perceived workplace discrimination and child and family outcomes.     

When ethnic minority students are judged as more suitable for the highest school track: a shifting standards experiment

When students are grouped into school tracks, this has lasting consequences for their learning and later careers. In Germany to date, some groups of students (boys, ethnic minority students) are underrepresented in the highest track. Stereotypes about these groups exist that entail negative expectations about their suitability for the highest track. Based on the shifting standards model, the present research examines if and how stereotypes influence tracking recommendations. According to this theory, members of negatively stereotyped groups will be judged more leniently or more strictly depending on the framing of the judgment situation (by inducing minimum or confirmatory standards). N = 280 teacher students participated in a vignette study in which they had to choose the amount of positive evidence for suitability they wanted to see before deciding to recommend a fictitious student to the highest track. A 2 (judgment standard: minimum vs. confirmatory) × 2 (target student’s gender: male vs. female) × 2 (target student’s ethnicity: no migration background vs. Turkish migration background) between-subjects design was used. No effects of target gender occurred, but the expected interaction of target’s ethnicity and judgment standard emerged. In the minimum standard condition, less evidence was required for the ethnic minority student to be recommended for the highest track compared to the majority student. In the confirmatory standards condition, however, participants tended to require less evidence for the ethnic majority student. Our experiment underlines the importance of the framing of the recommendation situation, resulting in a more lenient or stricter assessment of negatively stereotyped groups.

     

Does evidentiality support source monitoring and false belief understanding? A cross-linguistic study with Turkish- and English-speaking children

This study investigates the impact of evidentiality on source monitoring and the impact of source monitoring on false belief understanding (FBU), while controlling for short-term memory, age, gender, and receptive vocabulary. One hundred (50 girls) monolingual 3- and 4-year-olds from Turkey and the UK participated in the study in 2019. In Turkish, children's use of direct evidentiality predicted their source monitoring skills, which, in turn, predicted their FBU. In English, FBU was not related to source monitoring. Combined results from both languages revealed that Turkish-speaking children had better FBU than English-speaking children, and only for Turkish-speaking children, better source monitoring skills predicted better FBU. This suggests an indirect impact of evidentiality on FBU by means of source monitoring in Turkish.     

The influence of discussion groups in a case-based learning environment

The common practice of using discussion groups during case-based learning makes the role of discussion important in these learning environments. However, little empirical research has been done to investigate the influence of discussion on performance and motivation in case-based learning. The purpose of this article is to present the results of a study conducted to examine the role of discussion groups in a case-based environment. College students completed two cases either individually or in small discussion groups. Measures included two case analyses, an attitude survey, time on task, and document analysis. Results revealed significant performance and time differences between instructional methods on the first case, but not on the second case. In addition, results indicated significant differences in student attitudes between treatments. Overall, participants who worked in groups liked their method significantly better than those who worked alone, felt they learned more working in a group than they would have working alone, and expressed a preference for working in a group if they had to do the class over again. Implications for implementing case-based learning and future research are discussed. Anna E. Flynn is Vice President and NAPM Associate Professor with the National Association of Purchasing Management.     

A pedagogical analysis of science textbooks: How can we proceed?

This paper discusses some of the available frameworks for the pedagogical analysis of school science textbooks. First, it distinguishes between (a) studies which focus on elements of textbooks, such as the content, vocabulary, illustrations used, and the teaching methods promoted; and (b) those which consider the principles that organize the content and the form of presentation. In attempting to consider the sorts of principles that may be used in the studies categorised under (b), two crucial issues are discussed. The first issue refers to the relationship between scientific knowledge and school knowledge, which, as the relevant literature suggests, might not be conceived merely as a simplified “casting” of the scientific structure, but rather should be understood as a complex social process. The second issue explicitly addresses the nature of the pedagogic relationship and the place of the pedagogic text within it. Recent views about the nature of knowledge, it is argued, would suggest a reconceptualisation of the teaching activity, and indicate a model according to which the three elements of the teaching situation-the content, the pupil and the teacher—are seen as being (re)constituted in their articulation within and through the text(book). Thus, for example, what is to be a competent pupil in this approach is a function of the text. On the basis of these considerations, three approaches to the analysis of science textbooks are discussed: the socio-cognitive, the sociolinguistic and the socio-epistemic. The relative merits of the third approach are considered, and some examples are used from Greek science textbooks.     

Welding brass tits on the armor: An examination of the quest metaphor in Robin McKinley'sThe Hero and the Crown

Anna E. Altmann teaches children's literature in the School of Library and Information Studies at the University of Alberta.