Leader noticing of facilitation in videocases of mathematics professional development

In this article, we report on Researching Mathematics Leader Learning (RMLL), a project designed to support leaders in learning how to facilitate robust opportunities for teachers’ mathematical learning. Our two-phase research design allowed us to construct a set of videocase seminars, enact the seminar design with leaders, analyze these data, refine our seminar design, and implement a second set of seminars with a new group of leaders. We drew on the noticing literature to examine leaders’ pedagogical reasoning as they discussed videocases of professional development. In this article, we demonstrate how changes in our framework for leader development and the resulting changes in the prompts and tasks shaped leader noticing in three ways: (a) accounting for the mathematical work of the facilitator and teachers in the videocase; (b) linking the mathematical work to goals for teacher learning; and (c) reasoning around the facilitator’s work in advancing those learning goals. Analysis indicates that in Phase II, leader discussions were more focused on the mathematical and pedagogical work needed to advance teacher learning. Based on our research and development work with over 70 leaders, we offer a set of design principles for leader professional development.     

The effect of superfluous information on children's solution of story arithmetic problems

Forty 6- to 7-year-old children were tested with single-step, addition/subtraction story problems with and without superfluous numerical information. Half of the children were allowed to find out the solution using objects and half were given pen and paper. Fewer problems with superfluous information than those without such information were solved accurately. Less than half of the problems were attempted with spontaneous modelling with objects and rarely were pen and paper used. In many cases, the use of objects could not facilitate solution of problems with superfluous information thus suggesting that in these cases children's failure to solve the problems could not be explained just by an increase in the cognitive demand for selective attention to, and memory of, the relevant information.     

An overview of Prolog debugging tools

In this paper we present an overview of the advances in debugging standard Prolog programs. The analysis offered is in terms of a classification of tools that provide different degrees of activity in the debugging process. Other possible dimensions of analysis are also outlined.     

The Use and Effectiveness of Palmtop Computers in Education

This paper reports how palmtop computers were used in an English secondary school over the course of a year. In particular, it concentrates on the perceived effectiveness of such computers in an educational setting, and on how teachers' and students' knowledge and use of content-free applications increased over that time. The benefits and potential problems with this new technology are discussed along with the consequences it has for classroom and school organisation.     

Exploring the Influence of Efficacy Beliefs and Homework Help in Predicting Reading Achievement Among Underserved Children in an Afterschool Program

The purpose of this study was to determine the effectiveness of a local afterschool program in helping underserved elementary school students improve their reading achievement. The study followed a cohort of students with 28 participants who were low-income, ethnic minority children in the 1st–6th grades between the ages of 6 and 12. Data on students’ developmental assets and school progress were collected at two different time points. Overall, students showed increased perceptions of efficacy about having the ability and skills to do well on a task and getting good grades in school, as well as improvements in reading achievement over time. While changes in homework completion predicted changes in reading achievement, changes in efficacy beliefs and program exposure did not. Results suggest that teacher perceptions of homework completion may be an important pathway through which afterschool programs can help narrow the reading achievement gap experienced by ethnic minority students from disadvantaged backgrounds.     

The Cognitive and Behavioral Characteristics of Children With Low Working Memory

This study explored the cognitive and behavioral profiles of children with working memory impairments. In an initial screening of 3,189 five- to eleven-year-olds, 308 were identified as having very low working memory scores. Cognitive skills (IQ, vocabulary, reading, and math), classroom behavior, and self-esteem were assessed. The majority of the children struggled in the learning measures and verbal ability. They also obtained atypically high ratings of cognitive problems/inattentive symptoms and were judged to have short attention spans, high levels of distractibility, problems in monitoring the quality of their work, and difficulties in generating new solutions to problems. These data provide rich new information on the cognitive and behavioral profiles that characterize children with low working memory.     

Only Familiar Information is a “Curse”: Children’s Ability to Predict What Their Peers Know

The ability to make inferences about what one’s peers know is critical for social interaction and communication. Three experiments (n = 309) examined the curse of knowledge, the tendency to be biased by one’s knowledge when reasoning about others’ knowledge, in children’s estimates of their peers’ knowledge. Four- to 7-year-olds were taught the answers to factual questions and estimated how many peers would know the answers. When children learned familiar answers, they showed a curse of knowledge in their peer estimates. But, when children learned unfamiliar answers to the same questions, they did not show a curse of knowledge. These data shed light on the mechanisms underlying perspective taking, supporting a fluency misattribution account of the curse of knowledge.