Previous research has shown that--due to the extensive attention spent to proportional reasoning in mathematics education--many students have a strong tendency to apply linear or proportional models anywhere, even in situations where they are not applicable. This phenomenon is sometimes referred to as the "illusion of linearity". For example, in…

This study investigated the effects of orthographic depth on reading acquisition in alphabetic, syllabic, and logographic scripts. Children between 6 and 15 years old read aloud in transparent syllabic Japanese hiragana, alphabets of increasing orthographic depth (Albanian, Greek, English), and orthographically opaque Japanese kanji ideograms,…

The authors present 3 experiments demonstrating ways to reduce illegal moves in problem-solving tasks. They propose a 3-stage framework for the rejection of illegal moves. An illegal move must come to mind and be selected, checked for legality, and correctly rejected. Illegal move reduction can occur at any stage. Control group participants…

This pilot study was designed to examine mental rotation ability in individuals with Down syndrome. 7 individuals with Down syndrome (mean mental age = 8.18 +/- 2.73 years; mean chronological age = 29.8 +/- 5.4 years) and a group of 9 typically developing children, matched for mental age, (mean mental age = 8.40 +/- 1.73 years; mean chronological…

The treatment of errors in mathematics classrooms has gained attention in recent years, with many researchers suggesting that errors should be used as starting points for student inquiry into mathematics. In the study reported in this article, we examined how teachers used discourse around errors to generate inquiry by looking at the treatment of…

The authors offer research studies and other documented evidence that teaching grammar without a meaningful context does not improve student writing, largely because that approach does not address the root causes of errors. Several resources that support this position and offer more productive strategies are summarized, including the authors'…

This study examined developmental changes in concept formation, rule switching, and perseverative behaviors of children in the WCST by altering visual features of the test and using a new test score--the "zigzag" error score--which shows the number of shifts made between two incorrect concepts or rules. Instead of the original four 3-dimensional…

The "perceptual loop theory" of speech monitoring (Levelt, 1983) claims that inner and overt speech are monitored by the comprehension system, which detects errors by comparing the comprehension of formulated utterances to originally intended utterances. To test the perceptual loop monitor, speakers named pictures and sometimes attempted to halt…

This Commentary supports Gathercole's (2006) proposal on a double deficit in children with specific language impairment (SLI). The author suggests that these children have a limited phonological storage combined with a particular problem of processing novel speech stimuli. According to Gathercole, there are three areas of skill contributing to…

Background: It has been repeatedly found that performance of children with attention deficit hyperactivity disorder (ADHD) is more impaired when a long inter-stimulus interval (ISI) is used than when a short ISI is used. According to the cognitive-energetic model, this may reflect difficulty in remaining in an optimal motor activation state…

Long-term synaptic enhancement in the hippocampus has been suggested to cause deficits in spatial performance. Synaptic enhancement has been reported after hippocampal kindling that induced repeated electrographic seizures or afterdischarges (ADs) and after long-term potentiation (LTP) defined as synaptic enhancement without ADs. We studied…

The possible use of a calendar algorithm was assessed in DBC, an autistic "savant" of normal measured intelligence. Testing of all the dates in a year revealed a random distribution of errors. Re-testing DBC on the same dates one year later shows that his errors were not stable across time. Finally, DBC was able to answer "reversed" questions that…

In this article, we argue against the Representational Deficit Hypothesis, according to which second language (L2) speakers can never acquire functional categories or features that are absent in the first language (L1), suggesting that fossilization is inevitable. Instead, we support the Prosodic Transfer Hypothesis, which argues that the ultimate…

This paper summarizes an experiment conducted to examine the counting performance of 7- and 8-year-olds. Analysis of variance was computed on counting errors produced when enumerating a set of squares on a computer screen. The factors included in the analysis were age, gender, array size, error type, proximity, and error form. The primary…

A discussion of guides to English usage intended for Hong Kong speakers of English as a Second Language offers general comments on such guides, often written in Chinese and less commonly written in English, and more specific comments on one guide, written in English. The latter guide was analyzed for errors and misleading information. A large…