“It was smart when:” Supporting prospective teachers’ noticing of students’ mathematical strengths

Learning to name and notice students’ mathematical strengths is a challenging process requiring time and multiple iterations of practice for prospective teachers (PTs) to adopt. Mathematics teacher educators (MTEs) can approximate and decompose the complex practice of naming and noticing students’ mathematical strengths so PTs learn to teach mathematics while emphasizing what students know and can do. This study uses two tools MTEs can use to support PTs as they learn to name and notice students’ mathematical strengths: A LessonSketch experience, a digital platform with comic-based storyboards showing children engaged in a mathematics task, and a strengths-based sentence frame. Our study presents the findings from the 111 noticing statements from 18 PTs as they engaged in the LessonSketch digital experience and practiced making noticing statements about what children know about mathematics. The study found that after a sentence-frame intervention, the PTs are more likely to use strengths-based language and more likely to identify mathematical evidence in their noticing statements. Uncommitted language (statements that do not align with a strength- or deficit-based coding scheme), suggests a fruitful, yet complex space for supporting more PTs as they learn to name and notice students’ mathematical strengths. The paper concludes with implications for future research in teacher education.

     

Counting Skills and Number Concepts of Students with Moderate Intellectual Disabilities

A systematic study was carried out to investigate the basic counting and number skills, and the strategies used in counting and number tasks of students with moderate intellectual disabilities at different age levels. Using Fuson's (1988, 1992) number–word model, students' understanding and use of number words were examined in four situations (sequence, counting, cardinal, and symbol). Thirty students with moderate intellectual disabilities (IQ of 36–54) aged between 7 and 18 years were interviewed individually and their counting skills and concepts of number assessed by various number tasks. Results showed a significant difference between the three age groups on all the number skills assessed. Specifically, the learning pattern for the sequence of number–words and the kinds of correspondence errors made were similar to those of students with normal intelligence; one-to-one correspondence and stable-order principles were used and the cardinal principle was understood. Recommendations were made concerning the education of students with moderate intellectual disabilities in aspects of numeracy.     

Predictors of parental stress in mothers of young children with hearing loss

This study examined parental stress in 184 hearing mothers of young children who are deaf or hard of hearing. Stress levels were measured in three domains using the short-form of the Parental Stress Index (PSI; Abidin, 1995). Mothers in this study demonstrated significantly less parental distress on the PSI than a normative, hearing group, although this difference was quite small. Differences between the hearing and hearing loss samples did not reach conventional levels of significance for the Dysfunctional Parent-Child Interactions or the Difficult Child subscales. An examination of potential predictors of maternal stress revealed that mothers who perceived their daily hassles as more intense also obtained higher stress ratings on all three subscales. Additional predictors of parental distress were frequency of hassles, social support, and annual family income. Increased stress on the Dysfunctional Parent-Child Interaction subscale was predicted by children who had disabilities in addition to hearing loss, more delayed language relative to their chronological age, and less severe degrees of hearing loss. No additional, significant predictors were obtained for the Difficult Child subscale. When all measured variables were controlled for, characteristics that did not predict maternal stress on any of the three subscales included the child's gender, ethnicity, age of identification, mode of communication used, maternal education, and months between age of identification and child age at the time of observation.     

A Study of the Statistical Inference Criteria: Can We Agree on When to use Z Versus t?

Authors who write introductory business statistics texts do not agree on when to use a t distribution and when to use a Z distribution in both the construction of confidence intervals and the use of hypothesis testing. In a survey of textbooks written in the last 15 years, we found the decision rules to be contradictory and, at times, the explanations unclear. This paper is an attempt to clarify the decision rules and to recommend that one consistent rule be chosen to minimize confusion to students, instructors, and practitioners. Using the t distribution whenever σ is unknown, regardless of sample size, seems to provide the best solution both theoretically and practically.     

The influence of student experience with word processors on the quality of essays written for a direct writing assessment

Although prior research has identified general procedural and qualitative differences between word-processed and pen and paper writing, little attention has been directed toward identifying how these differences relate to the prior word processing experiences of individual students. Additionally, few researchers have addressed the issue of fairness when discussing the use of word processors in writing assessment. This study investigates this relationship by comparing essays composed with pen and paper for a direct writing assessment to those composed with a word processor by students having different levels of experience with using word processors for writing.We observed differences between the two composition media similar to differences observed in previous studies of word-processed writing. That is, our results show that, overall, word-processed essays are neater and longer than were pen and paper essays. Word-processed essays also have a more formal tone and a weaker voice than their pen and paper counterparts. No composition medium differences were observed for the number of mechanical errors.In terms of how word processor experience interacts with writing quality, we found that word processors use neither improved nor worsen the quality of essays produced by students who have medium to high levels of experience using computers for writing. On the other hand, the word processor essays produced by students with a low level of experience writing with computers were scored, on a six-point scale, almost an entire point lower than those produced with pen and paper by these same students. Groups with high and medium levels of experience with word processors wrote slightly more words with a word processor than with pen and paper. On the other hand, the group with a low level of experience with using computers for writing wrote over 100 words fewer on word processors than with pen and paper. As for the number of simple sentences, groups with high and medium levels of comfort and experience with computers for writing wrote fewer simple sentences with a word processor than with pen and paper, while the group with a low level of comfort and experience with computers for writing wrote more simple sentences with word processors than with pen and paper. There were no group by media interactions for the number of mechanical errors.     

Further abuse of sexually abused children

OBJECTIVE: To determine the incidence of re-abuse in children known to have been sexually abused and to find factors that increase the risk of re-abuse. METHOD: The study group consisted of 183 children with substantiated sexual abuse who presented to two children's hospitals' Child Protection Units in Sydney, Australia during 1988 through 1990. At intake, when the children were aged between 5 years and 15 years, data about the child, the family, and the nature of the index sexual abuse were collected. Six years after presentation for the abuse, records of the Department of Community Services were checked to see if any of the young people had been the subject of substantiated notifications for abuse/neglect before and after intake to the study. Predictors of notifications for abuse/neglect after presentation for the index sexual abuse were identified. RESULTS: Of the sexually abused young people, nearly one in three were the subject of subsequent substantiated notifications to the Department of Community Services for some form of child abuse and neglect or behavior which placed them at risk of harm. Later notifications for abuse/neglect were predicted by notifications for emotional abuse before the index sexual abuse (adjusted RR = 4.88, CI: 1.43 to 16.65), severity of the index sexual abuse (p = .03), and the number of changes in the child's primary caregivers before intake (p = .03). Approximately one in six of the sexually abused young people were notified for sexual abuse after intake to the study. One in 10 also had prior notifications for sexual abuse. Sexual abuse notifications after study intake were predicted by caregiver changes before intake (p = .01) and whether or not there were notifications for emotional abuse before the index sexual abuse (adjusted RR = 3.40, CI: 1.05 to 11.02). CONCLUSIONS: Revictimization of children appears to be a marker of ongoing family dysfunction. Intervention in child sexual abuse needs to consider a range of risk factors associated with re-abuse and, in particular, should focus on family functioning if further abuse is to be prevented.     

Using Qualitative Evaluation Methods to Identify Exemplary Practices in Early Childhood Education

The proliferation of early childhood programs for children with and without disabilities has occurred without clear indicators or standards of program quality. Evaluations of these programs often consist of compliance monitoring or outcome assessment. Little attention is given to program context or the quality of individual components of the program. In this paper, an alternative evaluation model, a connoisseurship or professional review model using on-site observations, interviews, and document review, was used to identify exemplary practices in early childhood education in one large midwestern state. The results indicated that with proper training and support, early childhood professionals without experience in qualitative methods can become proficient in interviewing techniques, observation, and document review. The resulting case study reports were useful for identifying and describing exemplary practices across the state, demonstrating the potential for this alternative approach to evaluation in early childhood education.