Principles for the Prevention and Intervention of Mathematics Difficulties

Three levels of prevention and intervention in the area of mathematics are addressed: (a) primary prevention focusing on universal design, (b) secondary prevention focusing on adaptations, and (c) tertiary prevention focusing on intensive and explicit contextualization of skills‐based instruction. The purpose of this paper is to identify and discuss principles of prevention and intervention in the area of mathematics. First, we identify research‐based principles associated with primary prevention. Second, we turn our attention to secondary prevention, with a focus on prereferral intervention. We identify principles that serve to differentiate primary and secondary prevention and specify instructional variables that are promising for use within a secondary prevention mode. Finally, we discuss intervention. We identify principles of effective intervention, which include individually referenced decision making, instructional intensity, and deliberate contextualization of skills‐based instruction.     

Gender,Science, and Scientific Organizations in Germany

This article considers the situation of women in science in Germany. We argue that scientific organizations play a crucial role in shaping science careers, often with different consequences for men and women. To sustain the argument, we offer a study of the careers of male and female scientists in the Max Planck Society. Our findings show that external support increases career options and opportunities for men, but not for women scientists.     

Aggregators: Cornerstone or Annex?

With the goal of building a high quality academic library collection in mind, the Serials Librarian and the Collection Assessment Librarian at Middle Tennessee State University evaluated the value of journal content accessed through a journal aggregator database. Data from EBSCOhost, UlrichsWeb, and Institute for Scientific Information (ISI) Journal Citation Reports were used to evaluate content with respect for subject, quality, and coverage. An important goal of the project was to share the analysis with library liaisons in an effort to assist them with collection development responsibilities. The analysis raises questions about the relationship between discovery, access, and collection development.     

Thermodynamic treatment of the swelling pressure of coal

Formulas for the swelling pressure of coal during carbonization have been derived from the first and second law of thermodynamics. Estimates have been used for various otherwise unavailable thermodynamic properties. Application of formulas has been illustrated by means of suitable examples.     

Sources of Individual Differences in Children's Understanding of Fractions

Longitudinal associations of domain‐general and numerical competencies with individual differences in children's understanding of fractions were investigated. Children (n = 163) were assessed at 6 years of age on domain‐general (nonverbal reasoning, language, attentive behavior, executive control, visual‐spatial memory) and numerical (number knowledge) competencies; at 7 years on whole‐number arithmetic computations and number line estimation; and at 10 years on fraction concepts. Mediation analyses controlling for general mathematics ability and general academic ability revealed that numerical and mathematical competencies were direct predictors of fraction concepts, whereas domain‐general competencies supported the acquisition of fraction concepts via whole‐number arithmetic computations or number line estimation. Results indicate multiple pathways to fraction competence.     

The Prediction of Antisocial Behavior from Avoidant Attachment Classifications

109 Children were classified using the Ainsworth Strange Situation at 18 months. 81 children who were unequivocally classified as insecure/avoidant (A1, A2) or securely attached (B1, B2, B3) were used in this study. The children's parents reported on occurrences of problem behaviors at 24 months, 27 months, 30 months, and 48 months using several methods. The children were observed at 18 and 30 months in their homes with their families and in toddler playgroups during the same period. The only significant effect for attachment classification was that teachers and observers of the playgroups rated girls classified as insecure/avoidant as more difficult to deal with and as having more difficulty with peers than girls rated as securely attached.     

Teachers' use of rubrics to score non‐traditional tasks: factors related to discrepancies in scoring

This study considered middle school mathematics teachers’ use of rubrics to score non‐traditional tasks. A group of eighth‐grade teachers attended a two‐day workshop where they evaluated assessment tasks and discussed the use an associated scoring rubric. Scored samples of student work submitted by the teachers indicated that they had difficulty using the rubrics for scoring. When compared to expert ratings, all except one teacher had discrepancies in scoring and some discrepancies indicated major problems. These discrepancies appear to be related to whether the task contained familiar or unfamiliar content and the mix of procedure and explanation the task required. Several other factors related to discrepancies, such as leniency errors, teacher knowledge, and the halo effect are also discussed. With the expanded use of rubrics in many arenas, these results show the need for more professional development related to rubric use.     

Responsiveness‐to‐Intervention: Definitions,Evidence, and Implications for the Learning Disabilities Construct

Longstanding concern about how learning disabilities (LD) are defined and identified, coupled with recent efforts in Washington, DC to eliminate IQ‐achievement discrepancy as an LD marker, have led to serious public discussion about alternative identification methods. The most popular of the alternatives is responsiveness‐to‐intervention (RTI), of which there are two basic versions: the “problem‐solving” model and the “standard‐protocol” approach. The authors describe both types, review empirical evidence bearing on their effectiveness and feasibility, and conclude that more needs to be understood before RTI may be viewed as a valid means of identifying students with LD.