This study examined if solving arithmetic problems hinders undergraduates' accuracy on algebra problems. The hypothesis was that solving arithmetic problems would hinder accuracy because it activates an operational view of equations, even in educated adults who have years of experience with algebra. In three experiments, undergraduates (N = 184)…

Research in the psychology of mathematics education has been confronted with the fact that people blatantly fail to solve tasks they are supposed to be able to solve correctly given their available domain-specific knowledge and skills. Also researchers in cognitive psychology have encountered such phenomena. In this paper, theories that have been…

The current study investigated developmental trajectories of teacher-reported aggressive behavior and whether these trajectories are associated with social-cognitive development (i.e., aggressive problem-solving) across the first three elementary grades in a large sample from Switzerland (N = 1,146). Semiparametric group-based analyses were…

A distinction can be drawn between extensive and intensive quantities. Extensive quantities (e.g., volume, distance), which have been the focus of developmental research, depend upon additive combination. Intensive quantities (e.g., density, speed), which have been relatively neglected, derive from proportional relations between variables. Thus,…

Though the No Child Left Behind Act of 2001 requires secondary students with Asperger's syndrome (AS) to take high-stakes mathematical tests, many students with AS exhibit weaknesses in mathematical and executive functioning skills. The purpose of this mixed-methods case study was to explore the use of differentiated mathematical strategies with…

Fourteen children with autism spectrum disorders (ASD) and fourteen age-matched typically-developing (TD) controls were tested on an adapted version of the Twenty Questions Task (Mosher and Hornsby in Studies in cognitive growth. Wiley, New York, pp 86-102, "1966") to examine effects of content, executive and verbal IQ factors on category use in…

In an accompanying study, Alibali et al. [Alibali, M. W., Ockuly, K. M., Fischer, A. D. (2009) "Learning new problem-solving strategies leads to changes in problem representation." "Cognitive Development, 24," 89-101.] present an important experimental result: introducing a new strategy can affect conceptual aspects of children's problem…

Proper Names appear at the heart of several debates in philosophy and the cognitive sciences. These include "reference", "intentionality", and the nature of "belief" as well as "language acquisition", "cognitive development", and "memory". This dissertation follows a cognitive approach to the philosophical problems posed by proper names. It puts…

A multiple-probe-across-problem-sets (tasks) design was used to evaluate the effects of the Detect, Practice, and Repair (DPR) on multiplication-fact fluency development in seven third-grade students nominated by their teacher as needing remediation. DPR is a multicomponent intervention and begins with a group-administered, metronome-paced…

A content analysis of over 28,000 pages from 141 elementary school mathematics textbooks published between 1900 and 2000 shows that widely used mathematics textbooks have changed substantially. Textbooks from the early part of the century were typically narrow in content but presented substantial amounts of advanced arithmetic and also asked…

Acquiring research skills is considered to be a highly challenging aspect of developing expertise in the social sciences. Because instruction and mentoring in these skills are typically grounded in the self-report of researchers, difficulties in learning the material may be due to the content and accuracy of these explanations. Using a…

This study examined the degree to which dimensions of parenting predicted early academic outcomes in a sample of 111 low-income African American children. Three aspects of parenting were assessed when the children were 36 months old: language stimulation, math-related stimulation, and maternal sensitivity. Academic outcomes were assessed at 54…

Funded by the Center of Inquiry in the Liberal Arts (CILA) at Wabash College, the Wabash National Study of Liberal Arts Education (WNS) is a multi-institution, multi-year, longitudinal study designed to identify the academic and non-academic collegiate experiences that foster liberal learning. This article describes how the study was done and…

Research shows that mental representation such as analogical reasoning is a fundamental cognitive tool for design problem solving (Daugherty & Mentzer, 2008; Hey, Lensey, Agogino, & Wood, 2008; Lewis, 2008). Not much is known, however, about the way students and professional engineers actively generate and change their mental representation when…

Recent studies have tested the addition of worked examples to tutored problem solving, a more effective instructional approach than the untutored problem solving used in prior worked example research. These studies involved Cognitive Tutors, software designed to support problem solving while minimizing extraneous cognitive load by providing…