Developing culturally responsive mathematics teachers: secondary teachers’ evolving conceptions of knowing students

Research advances in teaching, learning, curriculum, and assessment have not changed the continued underperformance of marginalized students in mathematics education. Culturally responsive teaching is a means of addressing the needs of these students. It is sometimes challenging, however, to convince secondary mathematics teachers about the importance of culture in mathematics education. To contribute to what is known about supporting secondary mathematics teachers in developing a culturally responsive teaching practice, we studied the impacts of a graduate course called Culture in the Mathematics Classroom on 13 teachers enrolled in the course. The course was designed to guide secondary mathematics teachers in understanding and growing their capacity to enact culturally responsive teaching in their classrooms. The purpose of our research was to explore how teachers’ perceptions changed as a result of their engagement in the class with respect to understanding the role of culture in knowing and being responsive to their students. Specifically, we examined how each of the four course projects seemed to individually and collectively influence teachers’ thinking. Overall, teachers appeared to expand their cultural awareness and dispositions for cultural responsiveness that would support them in knowing and supporting their students in the manner of a culturally responsive teacher. Teachers did not, however, develop some more “advanced” understandings related to power and privilege in society. This study provides researchers and mathematics teacher educators with a potential analytic framework for understanding teacher change with respect to culturally responsive teaching.     

Scale dimensionality and population heterogeneity: Potential problems in the interpretation of attitude data

This paper examines problems in the interpretation of attitude data which may arise when the dimensionality of the instrument and sources of heterogeneity in the population are ignored. As a specific example, the paper describes the development and analysis of an instrument designed to measure primary school children's liking of science-related activities. Careful analysis of the patterns of response to the questionnaire created some disquiet about the conventional methods used to collapse data from attitude scales. The results demonstrate that conclusions drawn from attitude measurement can be misleading when proper attention is not given to the structure of the instrument nor to the structure of the population from which the measurements are made.     

Using narrative fiction as a means of assessing and learning in a history of social welfare module

This article describes a narrative development project undertaken by students on a History of Social Welfare module at a British university. Students were asked to choose a character, setting and story from a range of scenarios and time periods that reflected many of the key areas covered in lecture and seminar classes. The narrative was not formally assessed but aligned closely with the summative assessment for the module. Students were expected, in their narratives, to identify and make explicit reference to legislation, social policy information and sociological/anthropological concepts pertinent to the period and chosen character. Most students played an active part in the construction of the narratives and were encouraged to consider aspects of meta-learning, including how they can work with others and cooperate as a member of a team. As a result of the success of this form of assessment, the project has been developed into the core mode of assessment for this module in future years of delivery.     

GCSE Art and Design: An Arena for Orthodoxy or Creative Endeavour?

This article explores the potential correlation between key aspects of the creative process and the requirements of GCSE Art and Design Specifications as determined and defined by stated assessment objectives. It considers approaches that might be employed to more effectively establish a link between pupils’ creative endeavours and their necessary evidencing of attainment in respect of these objectives. In order to illustrate and amplify this enquiry reference is made to specific examples of candidates' work that was selected by the Assessment and Qualifications Alliance (AQA) to exemplify and disseminate GCSE Art and Design standards for teachers in 2006. It concludes with a set of implications for consideration.     

Behavioral CRs elicited by a lithium- or an amphetamine-paired contextual test chamber

The behavioral CRs elicited by a drug-paired contextual cue in rats were measured in a series of experiments. The first three experiments measured the pattern of CRs elicited by a lithiumand an amphetamine-paired CS chamber. The final experiment measured the pattern of URs elicited by lithium or amphetamine when administered in the same chamber. The suppression of grooming-related activities (body washing, face washing, and/or scratching) appeared as a nonspecific effect of both drug USs that was capable of becoming conditioned to the contextual chamber cue. A number of other behaviors differed among conditions, which provides evidence that contextual cue-drug associations are drug-specific. Of the behaviors that differed between the two US drug conditions, lithium CRs showed evidence of behavioral activation (enhanced rearing and limb flicking), but amphetamine CRs showed evidence of behavioral suppression (line crossing, rearing, and shaking). The UR patterns shared some similar and some dissimilar elements of the CR patterns elicited by the CS chamber for both lithium and amphetamine; in fact, by the activity and rearing measures, the URs and CRs were opposite in direction. The results exclusively supported neither stimulus substitution nor conditioned compensatory response accounts of Pavlovian conditioning; instead, each process appears to have accounted for different components of the overall CR pattern.     

Event duration memory: The effects of delay-interval illumination and instructional cuing

The effect of interference treatments on pigeons’ working memory for event duration was investigated, using a successive matching-to-sample procedure. In three experiments, birds were trained to match different keylight durations (2 or 6 sec) to different comparison colors (red or green) following delays of 0 to 12 sec. The interfering effect of delay-interval illumination and illumination change was assessed in Experiments 1 and 2. It was found that the absolute levels of houselight illumination influenced delayed matching accuracy. Birds trained with houselight illumination showed larger decrements in matching accuracy with increasing delays than did birds trained with darkened delay intervals. In addition, increases in delay-interval illumination relative to baseline produced greater interference with delayed matching accuracy than did decreases in houselight illumination relative to baseline. In Experiment 3, the effect of interpolated instructional cues to remember or forget was examined. As in other directed forgetting experiments employing conventional modality characteristics as the samples to be remembered, it was found that instructional cues to forget, presented during the delay interval, reduced matching accuracy compared to instructional cues to remember. It was concluded that these findings support models of temporal memory that assume temporal information is coded into categorical information onto some nontime dimension over models that assume temporal information is remembered amodally as specific time durations.