Visual spatial representation in mathematical problem solving by deaf and hearing students

This research examined the use of visual-spatial representation by deaf and hearing students while solving mathematical problems. The connection between spatial skills and success in mathematics performance has long been established in the literature. This study examined the distinction between visual-spatial "schematic" representations that encode the spatial relations described in a problem versus visual-spatial "pictorial" representations that encode only the visual appearance of the objects described in a problem. A total of 305 hearing (n = 156) and deaf (n = 149) participants from middle school, high school, and college participated in this study. At all educational levels, the hearing students performed significantly better in solving the mathematical problems compared to their deaf peers. Although the deaf baccalaureate students exhibited the highest performance of all the deaf participants, they only performed as well as the hearing middle school students who were the lowest scoring hearing group. Deaf students remained flat in their performance on the mathematical problem-solving task from middle school through the college associate degree level. The analysis of the students' problem representations showed that the hearing participants utilized visual-spatial schematic representation to a greater extent than did the deaf participants. However, the use of visual-spatial schematic representations was a stronger positive predictor of mathematical problem-solving performance for the deaf students. When deaf students' problem representation focused simply on the visual-spatial pictorial or iconic aspects of the mathematical problems, there was a negative predictive relationship with their problem-solving performance. On two measures of visual-spatial abilities, the hearing students in high school and college performed significantly better than their deaf peers.     

Learning to improve: using writing to increase critical thinking performance in general education biology

Increasingly, national stakeholders express concern that U.S. college graduates cannot adequately solve problems and think critically. As a set of cognitive abilities, critical thinking skills provide students with tangible academic, personal, and professional benefits that may ultimately address these concerns. As an instructional method, writing has long been perceived as a way to improve critical thinking. In the current study, the researchers compared critical thinking performance of students who experienced a laboratory writing treatment with those who experienced traditional quiz-based laboratory in a general education biology course. The effects of writing were determined within the context of multiple covariables. Results indicated that the writing group significantly improved critical thinking skills whereas the nonwriting group did not. Specifically, analysis and inference skills increased significantly in the writing group but not the nonwriting group. Writing students also showed greater gains in evaluation skills; however, these were not significant. In addition to writing, prior critical thinking skill and instructor significantly affected critical thinking performance, whereas other covariables such as gender, ethnicity, and age were not significant. With improved critical thinking skill, general education biology students will be better prepared to solve problems as engaged and productive citizens.     

Theoretical perspectives on mathematics teacher change

In this review essay we critically examine issues raised by authors whose work is published in the two Special Issues of JMTE (Part 1, 13.5 and Part 2, 13.6) on Mathematics Teacher and Mathematics Teacher Educator Change—Insight through theoretical perspectives. While the authors have drawn on a wide range of theories and approaches, we have chosen to view their articles through a single socio-cultural lens to explore responses to the two questions that motivated these Special Issues: (1) How are opportunities created for teachers to change themselves? (2) What do (university-based) researchers learn from working with teachers?     

Development and validation of a brief screening version of the Childhood Trauma Questionnaire

OBJECTIVE: The goal of this study was to develop and validate a short form of the Childhood Trauma Questionnaire (the CTQ-SF) as a screening measure for maltreatment histories in both clinical and nonreferred groups. METHOD: Exploratory and confirmatory factor analyses of the 70 original CTQ items were used to create a 28-item version of the scale (25 clinical items and three validity items) and test the measurement invariance of the 25 clinical items across four samples: 378 adult substance abusing patients from New York City, 396 adolescent psychiatric inpatients, 625 substance abusing individuals from southwest Texas, and 579 individuals from a normative community sample (combined N=1978). RESULTS: Results showed that the CTQ-SF's items held essentially the same meaning across all four samples (i.e., measurement invariance). Moreover, the scale demonstrated good criterion-related validity in a subsample of adolescents on whom corroborative data were available. CONCLUSIONS: These findings support the viability of the CTQ-SF across diverse clinical and nonreferred populations.     

Mothers' Physiological and Affective Responding to Infant Distress: Unique Antecedents of Avoidant and Resistant Attachments

In a sample of 127 mother–infant dyads, this study examined the predictive significance of mothers' physiological and observed emotional responding within distressing and nondistressing caregiving contexts at 6 months for infant attachment assessed with Fraley and Spieker's (2003) dimensional approach and the categorical approach at 12 months. Findings revealed that a lesser degree of maternal respiratory sinus arrhythmia withdrawal and higher levels of maternal neutral (vs. positive) affect within distressing (vs. nondistressing) caregiving contexts were distinctive antecedents of avoidance versus resistance assessed dimensionally (but not categorically), independent of maternal sensitivity. Discussion focuses on the usefulness of examining mothers' physiological and affective responding, considering the caregiving context, and employing the dimensional approach to attachment in identifying unique antecedents of patterns of attachment insecurity.     

Concurrent Validity of LibQUAL+™ Scores: What Do LibQUAL+™ Scores Measure?

The present study investigated the validity of LibQUAL+™ scores, and specifically how total and subscale LibQUAL+™ scores are associated with self-reported, library-related satisfaction and outcomes scores. Participants included 88,664 students and faculty who completed the American English (n_AE = 69,494) or the British English (n_BE = 19,170) LibQUAL+™ language versions in the 2004 data collection cycle. Results suggest that LibQUAL+™ scores primarily measure satisfaction rather than outcomes.