Israel Moiseevich Gelfand (1913–2009)

In this homage to the late I M Gelfand, we try to give an overview of some of his contributions to the theories of Banach algebras in general and C*-algebras in particular, and briefly elaborate on the celebrated Gelfand-Naimark-Segal construction which gives a way of passing from positivity-preserving linear functionals to representations on Hilbert space.     

Young children's learning and transfer of biological information from picture books to real animals

Preschool children (N = 104) read a book that described and illustrated color camouflage in animals (frogs and lizards). Children were then asked to indicate and explain which of 2 novel animals would be more likely to fall prey to a predatory bird. In Experiment 1, 3- and 4-year-olds were tested with pictures depicting animals in camouflage and noncamouflage settings; in Experiment 2, 4-year-olds were tested with real animals. The results show that by 4 years of age, children can learn new biological facts from a picture book. Of particular importance, transfer from books to real animals was found. These findings point to the importance that early book exposure can play in framing and increasing children's knowledge about the world.     

Preschoolers' quarantining of fantasy stories

Preschool‐aged children are exposed to fantasy stories with the expectation that they will learn messages in those stories that are applied to real‐world situations. We examined children’s transfer from fantastical and real stories. Over the course of 2 studies, 3½‐ to 5½‐year‐old children were less likely to transfer problem solutions from stories about fantasy characters than stories about real people. A combined analysis of the participants in the 2 studies revealed that the factors predicting transfer differed for the fantasy and real stories. These findings are discussed within the context of their implications for preschoolers’ developing boundaries between fantasy and real worlds.     

Predicting First Grade Reading Performance from Kindergarten Response to Tier 1 Instruction

Many schools are beginning to implement multi-tier response to intervention (RTI) models for the prevention of reading difficulties and to assist in the identification of students with learning disabilities (LD). The present study was part of our larger ongoing longitudinal RTI investigation within the Florida Learning Disabilities Center grant. This study used a longitudinal correlational design, conducted in 7 ethnically and socio-economically diverse schools. We observed reading instruction in 20 classrooms, examined response rates to kindergarten Tier 1 instruction, and predicted students' first grade reading performance based upon kindergarten growth and end of year reading performance (n = 203). Teachers followed an explicit core reading program and overall, classroom instruction was rated as effective. Results indicate that controlling for students' end of kindergarten reading, their growth across kindergarten on a variety of language and literacy measures suppressed predictions of first grade performance. Specifically, the steeper the students' trajectory to a satisfactory outcome, the less likely they were to demonstrate good performance in first grade. Implications for future research and RTI implementation are discussed.     

Two-stage screening for math problem-solving difficulty using dynamic assessment of algebraic learning

The purpose of this study was to explore the utility of a dynamic assessment (DA) of algebraic learning in predicting third graders' development of mathematics word-problem difficulty. In the fall, 122 third-grade students were assessed on a test of math word-problem skill and DA of algebraic learning. In the spring, they were assessed on word-problem performance. Logistic regression was conducted to contrast two models. One relied exclusively on the fall test of math word-problem skill to predict word-problem difficulty on the spring outcome (less than the 25th percentile). The second model relied on a combination of the fall test of math word-problem skill and the fall DA to predict the same outcome. Holding sensitivity at 87.5%, the universal screener alone resulted in a high proportion of false positives, which was practically reduced when DA was included in the prediction model. Findings are discussed in terms of a two-stage process for screening students within a responsiveness-to-intervention prevention model.     

Videobased lesson analysis: Effective science PD for teacher and student learning

The Science Teachers Learning from Lesson Analysis (STeLLA) project is a videobased analysis‐of‐practice PD program aimed at improving teacher and student learning at the upper elementary level. The PD program developed and utilized two “lenses,” a Science Content Storyline Lens and a Student Thinking Lens, to help teachers analyze science teaching and learning and to improve teaching practices in this year‐long program. Participants included 48 teachers (n = 32 experimental, n = 16 control) and 1,490 students. The STeLLA program significantly improved teachers' science content knowledge and their ability to analyze science teaching. Notably, the STeLLA teachers further increased their classroom use of science teaching strategies associated with both lenses while their students increased their science content knowledge. Multi‐level HLM analyses linked higher average gains in student learning with teachers' science content knowledge, teachers' pedagogical content knowledge about student thinking, and teaching practices aimed at improving the coherence of the science content storyline. This paper highlights the importance of the science content storyline in the STeLLA program and discusses its potential significance in science teaching and professional development more broadly. © 2011 Wiley Periodicals, Inc., J Res Sci Teach 48: 117–148, 2011     

Examining the accuracy of teachers' judgments of DIBELS performance

The purpose of this investigation was to examine the accuracy of teachers' judgments of students' early literacy skills and to determine if students' achievement levels influenced teachers' judgments. Typical and lower‐achieving kindergarten and first‐grade students' scores on the Nonsense Word Fluency and Phoneme Segmentation Fluency measures of the Dynamic Indicators of Basic Early Literacy Skills (DIBELS) were compared to the predicted performance by their teachers. Results showed a moderately strong correlation between teachers' judgments and students' performance across all of the students, which is consistent with past research. Teachers' judgments, however, consistently and significantly overestimated the actual performance of students, particularly those who were typically performing students. The findings of the investigation suggest that relying on teachers' judgments of students' early literacy skills alone may be insufficient to accurately identify students at risk for reading difficulties. © 2011 Wiley Periodicals, Inc.