An examination of grade three mathematics textbooks for problem solving strategies

Three grade three mathematics textbooks were selected arbitrarily (every other) from a total of six currently used in the schools of Ontario. These textbooks were examined through content analysis in order to determine the extent (i. e., the frequency of occurrence) to which problem solving strategies appear in the problems and exercises of grade three mathematics textbooks, and how well they carry through the Ministry's educational goals set out in The Formative Years. Based on Polya's heuristic model, a checklist was developed by the researcher. The checklist had two main categories, textbook problems and process problems and a finer classification according to the difficulty level of a textbook problem; also six commonly used problem solving strategies for the analysis of a process problem. Topics to be analyzed were selected from the subject guideline The Formative Years, and the same topics were selected from each textbook. Frequencies of analyzed problems and exercises were compiled and tabulated textbook by textbook and topic by topic. In making comparisons, simple frequency count and percentage were used in the absence of any known criteria available for judging highor low frequency. Each textbook was coded by three coders trained to use the checklist. The results of analysis showed that while there were large numbers of exercises in each textbook, not very many were framed as problems according to Polya' s model and that process problems form a small fraction of the number of analyzed problems and exercises. There was no pattern observed as to the systematic placement of problems in the textbooks.

The relation of attentional, emotional, and social regulation to cognitive competence, from infancy to school entry

Recent research on the sources of cognitive competence in infancy and early childhood has highlighted the role of social and emotional factors (for example, Lewis, 1993b). Exploring the roots of competence requires a longitudinal and multivariate approach. To deal with the resulting complexity, potentially integrative theoretical constructs are required. One logical candidate is self-regulation. Three key developmental questions were the focus of this investigation. 1) Does infant self-regulation (attentional, emotional, and social) predict preschool cognitive competence? 2) Does infant self-regulation predict preschool self-regulation? 3) Does preschool self-regulation predict concurrent preschool cognitive competence? One hundred preschoolers (46 females, 54 males; mean age = 5 years, 11 months) who had participated at 9- and/ or 12-months of age in an object permanence task were recruited to participate in this longitudinal investigation. Each subject completed four scales of the WPPSI-R and two social cognitive tasks. Parents completed questionnaires about their preschoolers' regulatory behaviours (Achenbach's Child Behavior Checklist [1991] and selected items from Eisenberg et ale [1993] and Derryberry & Rothbart [1988]). Separate behavioural coding systems were developed to capture regulatory capabilities in infancy (from the object permanence task) and preschool (from the WPPSIR Block Design). Overall, correlational and multiple regression results offered strong affirmative answers to the three key questions (R's = .30 to .38), using the behavioural observations of self-regulation. Behavioural regulation at preschool substantially predicted parental reports of regulation, but the latter variables did not predict preschool competence. Infant selfregulation and preschool regulation made statistically independent contributions to competence, even though regulation at Time 1 and Time 2 ii were substantially related. The results are interpreted as supporting a developmental pathway in which well-regulated infants more readily acquire both expertise and more sophisticated regulatory skills. Future research should address the origins of these skills earlier in infancy, and the social contexts that generate them and support them during the intervening years.

Investigating the effects of arousal state on cognitive performance in individuals with and without mild head injury

We examined the cognitive and emotional sequelae following mild head injury (MHI; e.g., concussion) in high-functioning individuals and whether persons with MHI pre~ent, both physiologically and via self-report, in a manner different from (i.e., underaroused) that of persons who have no history of head injury. We also investigated the effect arousal state ~as on the cognitive performance of this population. Using a quasiexperimental research design (N = 91), we examined changes in attention, working memory, and cognitive flexibility (subtests ofthe WAIS-III, 1997,WMS-III, 1997, & DKEFS, 2002) as a function of manipulated arousal (i.e., induced psychosocial stress/activation; reduced activation/relaxation). In addition to self-reported arousal and state anxiety (State-Trait Anxiety Inventory; Speilberger, 1983a) measures, physiological indices of arousal state (i.e., electrodermal responsivity, heart rate, and respiration activity) were recorded (via Polygraph Professional Suite, 2008) across a 2.5 hour interval while completing various cognitive tasks. Students also completed the Post-concussive Symptom Checklist (Gouvier et aI., 1992). The results demonstrate that university students who report a history ofMHI (i.e., "altered state of consciousness") experience significantly lower levels of anxiety, were physiologically underaroused, and were less responsive to stressors in their environment, compared to their non-~HI cohorts. As expected, cognitive flexibility (but not other neuropsychological measures of cognition) was advantaged with increased stress, and disadvantaged with reduced stress, in persons with reported MHI, but not for those without reported MHI which provided limited support for our hypothesis. Further, university students who had no complaints related to their previous MHI endorsed a greater number of traditional post-concussive symptoms in terms of intensity, duration and frequency as compared to students who did not report a MHI. The underarousal in traumatic brain injury has been associated with (ventromedial prefrontal cortex) VMPFC disruption and may be implicated in MHI generally. Students who report sustaining a previous MHI may be less able to physiologically respond and/or cognitively appraise, stressful experiences as compared to their no-MHI cohort and experience persistent, long-lasting consequences despite the subtle nature of a history of head injury.

Examining the inclusion experiences of students with intellectual disabilities : a study focusing on the transition from elementary to secondary school

Transitioning from elementary to secondary school is a major event in adolescents' lives and can be associated with academic, social, and emotional challenges (Shaffer, 2005; Sirsch, 2003). Considerably less research has focused on the transitional experiences of students with intellectual disabilities (lD) as they enter secondary school and the role of educational inclusion in this process (Noland, Cason, & Lincoln, 2007). Conceivably, students with ID who leave inclusive elementary schools, where they have been educated alongside their peers without ID, and who enter segregated secondary educational placements may experience unique social and emotional challenges (Farmer, Pearl, & Van Acker, 1996; Fryxell & Kennedy, 1995; Shaffer, 2005). This study examined the transitional experiences of 6 students with ID and the role of educational inclusion, with a focus on elementary to secondary school transitions from inclusive to segregated settings and vice versa. This study included the collection of multiple sources of data. Semi-structured interviews with 6 caregivers and students with ID were conducted. Students' Individual Education Transitional Plans were discussed in caregivers' interviews to determine how they shaped students' educational inclusion experiences (Ontario Ministry of Education & Training, 1999/2000/2004). Parts ofthe following questionnaires were "qualitized" (Tashakkori & Teddlie, 1998) and administered orally: "Youth Self-Report" (YSR; Achenbach, 2001 c) and "Child Behaviour Checklist Caregivers Form" (CBLC/6-18; Achenbach, 200la). The findings of this study contribute to the literature on educational inclusion by highlighting the positive/negative social and emotional impact of congruent and incongruent transitional experiences of students with ID and the role of educational inclusion.

Working Memory in the Junior/Intermediate Classroom

This research project explored the connection between working memory and children’s learning. The project created a resource titled Working Memory Strategies for the Junior/ Intermediate Educator: A Handbook based on a literature review, the deconstruction of theoretical and empirical studies, teacher resources, and findings from a needs assessment completed by teachers that together show there is insufficient support for teachers working with students who have deficits in working memory along with other common classroom learning disabilities. As learning disabilities become more common in the classroom that increasingly affect working memory in a majority of cases, teachers must be prepared not only to address specific symptoms of the conditions, but also to help students learn how to navigate and become aware of their working memory ability. The handbook thus was developed as a useful resource for teachers looking to expand their knowledge about how learning occurs. A needs assessment completed by junior and intermediate division teachers in Ontario helped determine what educators found most important for inclusion in the handbook, and the same teachers were offered the opportunity to review the completed handbook. Teacher participants provided constructive feedback and indicated that the handbook would be a valuable resource for them and their colleagues when working with students who have working memory issues. It was suggested that the handbook would be useful when creating students’ Individual Education Plans and that the assessment checklist included in the handbook would be an excellent resource for teachers collecting data regarding students’ working memory and ability to learn.