A Follow‐Up of Mathematics Interventions for Secondary Students with Learning Disabilities

Abstract This article extends a previous review of the literature ( Maccini & Hughes, 1997 ) on mathematics interventions for secondary school students with learning disabilities (LD). A systematic review of the literature from 1995 to 2006 yielded 23 articles that met the criteria for inclusion. It was determined that a number of practices demonstrated significant gains for secondary school students with LD in math, including mnemonic strategy instruction, graduated instructional approach, cognitive strategy instruction involving planning, schema‐based instruction, and contextualized videodisc instruction. We also discuss the nature and focus of math interventions and implications for both research and practice based on the findings.     

Redefining Without Undermining Liberal Education

We have long associated the ideal of a liberal education with an ideal of the educated person. Cognitive science, constructivist views of education, a new appreciation of the significance of practical knowledge, and a heightened awareness of the potential of education for social progress have had an impact on these ideals. As a consequence, new critiques and conceptions of liberal education challenging the viability of the traditional ideal have emerged. What these are is the subject of analysis here. Particular attention is given to the notion of many-sided development and the promise it holds for innovation and revitalization in liberal education.     

Broadening the horizons of research on discovery-based learning

In reviewing the six articles within this Instructional Science special issue, we are reminded of Schoenfeld’s (Educ Res 45(2):105–111, 2016) review of American Educational Research Association president-authored papers for the centennial celebration of AERA. There, he succinctly unveiled the content focus of AERA research in the first half of the twentieth century: “there is content to be mastered; it is the schools’ job to help students master it” (p. 106). Yet, like Schoenfeld says, “A century later, we hear the echoes of this functionality in the calls for ‘21st-century skills,’” (p. 106), and the “skills” of the twentieth and twenty-first century would hardly know each other. Twentieth century skills, as represented in the accounts from past AERA presidents, were product-oriented, like accurate copying and precise handwriting. Twenty-first century skills are focused on creativity, ingenuity, critical thinking, and the like. In our primary research space, mathematics education, problem solving, sense making, and conceptual understanding dominates in the twenty-first century, whereas procedures dominated teaching and learning mathematics in the twentieth century.     

Perceptions and knowledge of preservice and inservice educators about early reading instruction

A major conclusion from research regarding children with poor reading performance is that early, systematic instruction in phonological awareness and phonics improves early reading and spelling skills and results in a reduction of the number of students who read below grade level. The purpose of this study was to examine the perceptions and knowledge of presevice and inservice educators about early reading instruction. The results indicated that these educators expressed positive attitudes toward explicit and implicit code instruction, with inservice educators more positive about explicit code instruction than preservice educators and preservice educators more positive about implicit code instruction. Preservice and inservice educators demonstrated limited knowledge of phonological awareness or terminology related to language structure and phonics. Additionally, they perceived themselves as only somewhat prepared to teach early reading to struggling readers. These findings indicate a continuing mismatch between what educators believe and know and what convergent research supports as effective early reading instruction for children at risk for reading difficulties. Implications support continuing efforts to inform and reform teacher education. Just prior to publication, the editorial office was informed of the untimely death of the first author, Candace Bos, who died on August 13, 2001.     

When Peer Performance Matters: Effects of Expertise and Traits on Children's Self‐Evaluations After Social Comparison

The present research examined the influence of peer characteristics on children's reactions to upward social comparisons. In Experiment 1, one hundred twenty‐six 5‐, 8‐, and 10‐year‐olds were told that they were outperformed by an expert or novice peer. Older children reported higher self‐evaluations after comparisons with an expert rather than a novice, whereas 5‐year‐olds reported high self‐evaluations broadly. In Experiment 2, ninety‐eight 5‐ to 6‐year‐olds and 9‐ to 10‐year‐olds were told that the peer possessed a positive or negative trait that was task relevant (i.e., intelligence) or task irrelevant (i.e., athleticism). Older children reported higher self‐evaluations after hearing about positive rather than negative traits, irrespective of relevance. Younger children reported high self‐evaluations indiscriminately. Results inform the understanding of social comparison development in childhood.     

Survey of attitudes toward statistics: Factor structure and factorial invariance for women and men

White undergraduate students enrolled in introductory statistics courses completed the Survey of Attitudes Toward Statistics (SATS). Student responses were analyzed using confirmatory factor analysis to determine the validity of several alternative models of the structure of attitudes toward statistics. A four‐factor structure composed of Affect, Cognitive Competence, Value, and Difficulty provided the best model fit. Responses of women and men to the SATS were then examined to explore scale invariance across gender. Invariance tests of factor structure, factor‐variable correlations, factor correlations, and variable uniquenesses showed that the four‐factor model fit well for both female and male responses. Only two significant differences in model fit were found: the Value variance was greater for women and the correlation between Affect and Value was greater for men. Generally, the study provided evidence for the appropriateness of a four‐factor structure of the SATS.