Teachers’ perceptions of assessments of their mathematical knowledge in a professional development course

The purpose of the project reported in this article was to evaluate how assessing teachers’ mathematical knowledge within a professional development course impacted from the teachers’ perspective their learning and their experience with the course. The professional development course consisted of a 2-week summer institute and the content focus was geometry. We had decided to assess the mathematical learning of the teachers during this professional development course for various accountability reasons, but were concerned about possible negative by-products of this decision on the teachers and their participation. Thus, we worked to design assessment in ways that we hoped would minimize negative impacts and maintain a supportive learning environment. In addition, we undertook this evaluation to examine the impacts of the assessment, which included homework, quizzes, various projects, and an examination for program evaluation. Seventeen grade 5–9 teachers enrolled in the course participated in the study by completing written reflections and by describing their experiences in interviews. We learned that while our original intent was “to do no harm,” the teachers reported that their learning was enhanced by the assessment. The article concludes by describing the various properties of the assessments that the teachers identified as contributing to their learning of the geometry content, many of which align with current recommendations for assessing and evaluating grade K-16 mathematics students.

The Developmental Sequence and Relations Between Gesture and Spoken Language in Toddlers With Autism Spectrum Disorder

In typical development, gestures precede and predict language development. This study examines the developmental sequence of expressive communication and relations between specific gestural and language milestones in toddlers with autism spectrum disorder (ASD), who demonstrate marked difficulty with gesture production and language. Communication skills across five stages (gestures, word approximations, first words, gesture-word combinations, and two-word combinations) were assessed monthly by blind raters for toddlers with ASD participating in an randomized control trial of parent-mediated treatment (N = 42, 12–30 months). Findings revealed that toddlers acquired skills following a reliable (vs. idiosyncratic) sequence and the majority of toddlers combined gestures with words before combining words in speech, but in contrast to the pattern observed in typical development, a significant subset acquired pointing after first words.     

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.     

Mentoring interdisciplinary undergraduate students via a team effort

We describe how a team approach that we developed as a mentoring strategy can be used to recruit, advance, and guide students to be more interested in the interdisciplinary field of mathematical biology, and lead to success in undergraduate research in this field. Students are introduced to research in their first semester via lab rotations. Their participation in the research of four faculty members-two from biology and two from mathematics-gives them a first-hand overview of research in quantitative biology and also some initial experience in research itself. However, one of the primary goals of the lab rotation experience is that of developing teams of students and faculty that combine mathematics and statistics with biology and the life sciences, teams that subsequently mentor undergraduate research in genuine interdisciplinary environments. Thus, the team concept serves not only as a means of establishing interdisciplinary research, but also as a means of incorporating new students into existing research efforts that will then track those students into meaningful research of their own. We report how the team concept is used to support undergraduate research in mathematical biology and what types of team-building strategies have worked for us.     

Entry to the Skilled Trades in Australia: the role of family background and school achievement

This paper reports an analysis of factors associated with entry to skilled trades through the Australian apprenticeship system. It is based on data collected from a sample of nearly 2500 17‐year‐old males in 1978. The results suggest that:

(a) young males whose fathers were tradesmen were more likely to participate in apprenticeship training than other young males;

(b) apprentices had relatively higher achievement on numerical tests than on verbal tests;

(c) the sons of migrants from non‐English speaking countries were less involved in apprenticeship than other 17‐year‐old males; and

(d) young males who had attended private secondary schools were less likely to be involved in apprenticeship training than those who had attended public schools.

It was found that whether a person's father was a tradesman was a better predictor of participation in apprenticeship than the social prestige of the father's occupation.     

The political economy of growing a rural university in the USA using online education: an examination of incentives for educational imperialism and academic capitalism

Rural colleges and universities in the USA struggle to recruit new students, as their geographic region is depopulating and costs to attend classes on campus are increasing. Online education using the Internet is rapidly expanding as an effective growth strategy to reach new groups of students. In this paper, we take the position that online education is a form of cultural imperialism and academic capitalism where curriculum developers and professors are motivated to enroll new students in order to maintain the credibility and strength of their programmes and host institutions. We argue that it is not our intent to be educational imperialists or capitalists. Rather these are unintended consequences of our actions. This argument is supported by political economy theory in that we are marketing a technical rational form of online education without awareness of its long-term cultural, economic or political ramifications. Even though we pride ourselves on developing a high-quality programme that in our eyes meet the needs of our students, understanding the political economy of online education is essential if our programme that has access to the global market is to go beyond the individual needs of students and address social, cultural and political needs. We conclude that one way out of this malaise is to understand our role as instructors and course designers as a first step towards understanding the intended and unintended consequences of online education.     

Predictors of Criminal Justice Undergraduates’ Intentions to Pursue Graduate Education in Criminology or Criminal Justice

This study relies on data from 388 junior and senior criminal justice majors to examine predictors of intentions to pursue graduate education in criminology, criminal justice, or a closely related field. Logistic regression results demonstrate that women, students who receive greater encouragement to attend graduate school, students with a lower aversion to reading, writing, and statistics, and students who perceive greater diversity intolerance are more likely to report graduate school intentions. Although students’ race was not found to be significant in the overall model, split-sample models revealed that the significance of predictors varied by race and ethnicity. In discussing the findings, special attention is given to the need for primarily White institutions (PWIs) to partner with historically Black college and universities (HBCUs). We conclude by calling for departments to redouble their efforts to diversify their faculty and student bodies.