Disentangling Mathematics Target and Access Skills: Implications for Accommodation Assignment Practices

Appropriate assignment of accommodations is predicated on a clear distinction between target skills and access skills. In this study, we examine the agreement between test developer/researchers’ and educators’ classification of target and access skills as a possible explanatory mechanism for assigning accommodations. Findings indicate that participants with expertise in mathematics education had the highest agreement when classifying target skills, as evidenced by a higher overall sensitivity value and the greatest number of items with the highest sensitivity value. Conversely, special education faculty members had the highest overall agreement when classifying access skills, as evidenced by a higher overall specificity value. Mathematicians, however, had the highest sensitivity values for the greatest number of items. Implications for accommodation assignment practices are discussed.     

21st century teachers: how non-traditional pre-service teachers navigate their initial experiences of contemporary classrooms

In the twenty-first century, teachers’ work has become more complex with high levels of accountability, increased bureaucratic responsibilities and unprecedented levels of public scrutiny. However, teaching fundamentally remains a caring profession, requiring well-developed social skills and emotional labour to successfully engage and motivate students. Teachers need resilience to thrive in these environments of intense and often conflicting pressures. Drawing on a transactional-ecological modelthis qualitative study explored the resilience and teacher identity development of a cohort of pre-service career-change teachers as they navigated their initial experiences in contemporary classrooms. The findings indicate that this cohort arrived to teacher education with teacher identities strongly aligned with a broad conceptualisation of care as active practice. This paper discusses how their identities and capacities for resilience were challenged and reviewed during their classroom experiences and the implications for teacher education and the profession.     

Testing Students with Special Needs: A Model for Understanding the Interaction Between Assessment and Student Characteristics in a Universally Designed Environment

This article presents a model of assessment development integrating student characteristics with the conceptualization, design, and implementation of standardized achievement tests. The model extends the assessment triangle proposed by the National Research Council ( Pellegrino, Chudowsky, & Glaser, 2001 ) to consider the needs of students with disabilities and English learners on two dimensions: cognitive interaction and observation interaction. Specific steps in the test development cycle for including students with special needs are proposed following the guidelines provided by Downing (2006) . Because this model of test development considers the range of student needs before test development commences, student characteristics are supported by applying the principles of universal design and appropriately aligning accommodations to address student needs. Specific guidelines for test development are presented.     

Didactics and History of Mathematics: Knowledge and Self-Knowledge

The basic assumption of this paper is that mathematics and history of mathematics are both forms of knowledge and, therefore, represent different ways of knowing. This was also the basic assumption of Fried (2001) who maintained that these ways of knowing imply different conceptual and methodological commitments, which, in turn, lead to a conflict between the commitments of mathematics education and history of mathematics. But that conclusion was far too peremptory. The present paper, by contrast, takes the position, relying in part on Saussurean semiotics, that the historian's and working mathematician's ways of knowing are complementary. Recognizing this fact, it is argued, brings us to a deeper understanding of ourselves as creatures that do mathematics. This understanding, which is a kind of mathematical self-knowledge, is then proposed as an alternative commitment for mathematics education. In light of that commitment, history of mathematics assumes an essential role in mathematics education both as a subject and as a mediator between the aforementioned ways of knowing.     

Cerebral dominance and subtypes of developmental dyslexia

Conclusions Evidence of different syndromes of developmental dyslexia raises the question of the interaction between dyslexic types and patterns of cerebral dominance. Some of the proposed classifications of dyslexia, and most notably the one proposed by Boder (1971), strongly suggest that dyslexic subtypes, that can be identified clinically by reading-spelling patterns, may possess different or opposite cerebral dominance patterns. Thus, research of cerebral dominance in dyslexia (i.e., Orton’s hypothesis) should involve careful selection and classification of subjects. When this is done it can be shown that electrophysiological measures can identify cerebral-dominance abnormalities in at least one subtype of developmental dyslexia. This paper was presented in part at the 29th Annual Conference of The Orton Society, November 1978, in Minneapolis, Minnesota.     

Children's drawings provide a new perspective on teacher–child relationship quality and school adjustment

A growing literature points to the importance of children's relationships with their teachers as a factor influencing attitudinal, cognitive, and behavioral aspects of school adjustment. However, such data may be confounded when the same teacher rates school adjustment as well as relationship quality. The present study sought to address this problem by investigating direct (self-reported feelings about the teacher) and indirect (representations through drawings) procedures to assess children's perspectives on the relationship. Self-report questions were adapted from measures of school liking and maternal acceptance. Drawings applied Fury's system for describing relational negativity in child–family drawings. Results, based on a sample of 125 six-year-olds, showed significant associations between children's reports/drawings and teacher-rated relationship quality and school adjustment. Negativity in child–teacher drawings was a particularly salient correlate, suggesting that children's representations of relationships can provide a useful independent means of identifying relationship or adjustment difficulties at school.     

Promoting Math Talk in Adult–Child Interactions Through Grocery Store Signs

Young children have better math abilities when their parents engage in more math‐related conversations with them. Yet, previous studies have found that math talk occurs only very infrequently in everyday interactions. In the present study, we sought to promote adult–child conversations about math in a naturalistic context using minimal instructions. We observed 179 adult–child dyads while they shopped in grocery stores with signs prompting them to engage in math‐related conversations (math condition), signs prompting them to talk about other topics (general language condition), or without any signs (baseline condition). In the math condition, more adults talked about math compared to the general language or the baseline condition, and this finding could not be explained by demographic characteristics of the dyad or the overall amount of conversations. This study demonstrates that cost‐effective signs placed in everyday contexts can promote math‐related conversations and potentially provide math learning opportunities for children.     

A Factor Analytic Study of the Infant-Toddler and Early Childhood Versions of the HOME Inventory Administered to White, Black, and Hispanic American Parents of Children Born Preterm

Factor analyses were performed on the Infant-Toddler and the Early Childhood versions of the HOME Inventory for 3 groups (blacks, whites, and Hispanics) of premature, low-birthweight children. Participants lived in 8 different U.S. cities. On the IT-HOME, 5 factors were originally retained for each group using the principal factors method of extraction. Factor structures for blacks and whites were similar, accounting for 85% and 75% of the variance, respectively. The structure for Hispanics was somewhat different; a 7-factor solution accounting for 65% of the variance was most interpretable. For the EC-HOME, 6 factors were retained for both black and white groups, accounting for 80% and 73% of the variance, respectively. For Hispanics, an 8-factor solution accounted for 59% of the variance. The factor structures for blacks and whites were largely in agreement with the current organization of items into subscales. The fit for Hispanics was not quite as good, but most factors also corresponded to current subscales.     

Infant Temperament Measured by Multiple Observations and Mother Report

Observers and mothers rated infant behavior ( n = 50) in the home on dimensions of temperament once a week for 8 weeks. Although week-to-week correlations were modest (intraclass correlations of .14–.36), aggregates of the 8 observations had high reliability for both observers and mothers. Mother reports were tied to our observation sessions by having mothers ( a ) rate their infants' behavior during the period when our observations were made and ( b ) use a questionnaire that mirrored the scoring system used for scoring the videotaped observation sessions. When direct observations were compared with mother reports (on the aggregated weekly reports and on 4 widely used questionnaires), little evidence of mother-observer correspondence was found. The interpretation of the large literature that has used maternal report is discussed, as well as the importance of direct observation of infant behavior when temperament is assessed.