Strong／weak limits and strong／weak differentials of multi-variable indeterminate forms. II： Supplementary annotations and analysis

Supplementary annotations on special forms 1to 4, discussion on the general characteristics of K(t) and K(t,t′), and analyses on two noticeable limits are presented in this part. It is demonstrated that strong and weak parabolic transforms can beemployed to change the standard form of a multi-variable indeterminate form into χ^mK type, hence to derive the standardformulae of the limit and the differential.     

Progress monitoring with objective measures of writing performance for students with mild disabilities

To adequately monitor progress in writing, a test must show stability and demonstrate a performance profile over time that parallels those of accepted criterion measures. This study investigated the technical adequacy of seven objective indexes of writing quality in monitoring the progress of 36 middle school (Grades 6-8) students with mild disabilities over a 6-month period. The stability of each index was assessed. Holistic ratings of the same writing samples and the Test of Written Language served as validation criteria. Three indexes were moderately correlated with holistic ratings, but were not sufficiently stable over time. Direct, objective writing assessment must be used with caution for progress monitoring, given our present lack of precision in measuring the complex task of writing.     

Exploring the relationship between early childhood and elementary grade-level overlap and early childhood teacher output

This study explores the relationship between grade-level overlap between elementary education (ELED) and early childhood education (ECED) licenses and ECED teacher output. Analysis of Title 2 data indicates that ECED/ELED overlap is extensive, as evidenced by the number of states with grade-level overlaps of 5 (n = 2), 4 (n = 24), 3 (n = 10), and 2 years (n = 7). In the 47 states with both types of credentials, ELED licensees may teach preschool in two states, kindergarten in 30, first grade in 41, second grade in 42, and third grade in 43. The percentage of ECED (relative to ELED) teacher licensure program completers is low in states where elementary licenses begin in preschool (5%), kindergarten (14%), and Grade 1 (23%), but higher in states where elementary licenses begin in Grades 2 (45%), 3 (44%), and 4 (70%).     

Secondary science teachers' knowledge base when teaching science courses in and out of their area of certification

This study examined the similarities and differences in experienced secondary science teachers' planning, teaching, and reflecting on their teaching, when teaching in their science area of certification and when teaching in another science area. The study also focused on the influence of these teachers' content knowledge, pedagogical knowledge, and pedagogical content knowledge on their planning, teaching, and reflecting. Experienced teachers were observed and interviewed while teaching classes in their science area of certification, and in another science area they were teaching for the first or second time. Both similarities and differences in teaching were found in the two areas for all three teachers. For example, their planning and postlesson reflections were similar in both areas. In the interactive phase of teaching more differences were observed. Many aspects of their teaching resembled that of expert teachers in other studies. In the unfamiliar science area, the teachers sometimes acted like novice teachers. However, they were able to draw upon their pedagogical knowledge to provide a framework for their teaching in both science areas. Their wealth of pedagogical knowledge, and pedagogical content knowledge for general science topics, seemed to sustain them in whatever content they were teaching. Recommendations for further study and implications for teacher education are discussed.     

To answer questions from text,one has to understand what the question is asking: differential effects of question aids as a function of comprehension skill

Reading and Writing - The present study investigates the effectiveness of question paraphrases in supporting students’ understanding of a specific task. Secondary school students (i.e.,...     

Perianal findings in prepubertal children selected for nonabuse: a descriptive study

The results of the perianal portion of a project designed to collect normative data of the anogenital anatomy from a representative sample of prepubertal children is presented. A total of 318 children were examined by three physicians from a child sexual abuse evaluation program. After screening for the onset of puberty and the possibility of undetected abuse, 267 subjects remained. The sample included 161 girls and 106 boys ranging in age from 2 months to 11 years. The perianal findings that were encountered with the greatest frequency included erythema (41%), increased pigmentation (30%), and venous engorgement (52%) after two minutes in the knee-chest position. Wedge-shaped smooth areas in the midline, with or without depressions, were found both anterior and posterior to the anus in 26% of the children. Anal skin tags/folds were discovered anterior to the anus in 11%. In 49% of the children there was some dilatation of the anus which opened and closed intermittently in 62%. Flattening of the anal verge and rugae occurred during dilatation by the midpoint of the examination in 44% and 34%, respectively. Perianal findings that were found infrequently in all subgroups included skin tags/folds (0%) and scars (1%) outside the midline, anal dilatation greater than 20 mm without the presence of stool in the rectal ampulla (1.2%), irregularity of the anal orifice after complete dilatation (3%), and prominence of the anal verge (3%). No abrasions, hematomas, fissures, or hemorrhoids were encountered. Less commonly detected findings within specific subgroups included perianal erythema in girls (32%) as compared to boys (57%), pigmentation in the lighter skinned white children (22%) when compared to black (53%) and Hispanic (58%) children, and venous congestion at the beginning of the examination (7%) when compared to the same findings after four minutes in the knee-chest position (73%). There were no perianal skin tags/folds found in the boys. The relatively high incidence of perianal soft tissue changes that were found in this study, when compared to the frequency of similar observations in children suspected of having been sexually abused, reemphasizes the caution medical examiners must exercise in rendering an opinion as to the significance of medical findings.