In today's world, where the volume of knowledge everyone must deal with is increasing exponentially, many educators agree that schools must focus on developing skills for life-long learning. But what does that mean for an area such as algebra? Teachers' goal in school algebra should be to guide students to "work smarter" with algebraic symbols and…

This article speculates on using games to explore the logical thinking not only of the participant but of a variety of sets of people. It considers the thinking of participants and spectators and the play of individuals who had been prior spectators or players and those who were not. (JA)

A series of recent studies have demonstrated that rats will increase their rate of operant responding for sucrose reinforcement when food-pellet reinforcement will be upcoming in the same session. One potential explanation for this increase is that operant, rather than respondent or general, behavior becomes increasingly probable in sessions in…

This research addresses the kinds of matching elements that determine analogical relatedness and literal similarity. Despite theoretical agreement on the importance of relational match, the empirical evidence is neither systematic nor definitive. In 3 studies, participants performed online evaluations of relatedness of sentence pairs that varied…

Eighty-four 24- and 30-month-old children were tested with two analogy tasks: formal and problem solving. Experiment 1 included three Groups: relations specified, relations unspecified, and associative control (no exposure to base relations). In Experiment 2 the relation that linked that a- and b-terms in formal problems was explicitly shown in…

Analogous thinking has been commonly discussed as being an inherent and distinguishing characteristic of human cognition (e.g., Gentner, 2010; Goldstone, Day, & Son, 2010; Holyoak, in press; Rittle-Johnson & Star, in press). Gentner (2003) has argued that as part of the human cognitive toolbox, comparison accompanied by the relational language to…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

The science curriculum in Malaysia emphasizes the acquisition of scientific skills, thinking skills, and the inculcation of scientific attitudes and noble values. Besides that, the acquisition of scientific and technological knowledge and its application to the natural phenomena and students' daily experiences are also equally emphasized. The…

When a test is adapted from a source language (SL) into a target language (TL), the two forms are usually not psychometrically equivalent. If linking between test forms is necessary, those items that have had their psychometric characteristics altered by the translation (differential item functioning [DIF] items) should be eliminated from the…

This article looks at the non-tenure-line instructors in a teacher education programme. Although they play a crucial role in teacher education, they largely toil in the shadows. They have limited voice in programme decisions, are offered little or no induction, and often work in isolation. The high turnover in staff and their heavy teaching and…

These science activities for elementary students focus on the external structures and functions of the human eye with hands-on object box activities based on the Montessori theory (1966) of concrete learning through manipulation of objects and focus of attention through touch. Object boxes are sets of items and corresponding cards housed in a box.…

Teachers know that real mathematical understanding includes the higher-level skills of comparing, contrasting, and making connections among different computational approaches. What mathematical connections can students make when asked to explore a task that is posed in three different ways? This article describes a unique task structure that helps…

Gifted middle school mathematics students often exhibit boundless energy, a desire to exert some degree of control over their learning, and an ability to think logically and abstractly in ways that astound their parents and teachers. Middle school math curriculum that combines guided investigations of real-life problems with product-based…

This empirical study presented the description of two teaching methods called "deductive" and "inductive" approaches. The first involved providing a group of participants with rules and then examples directly and separately, but the second approach involves providing another group of participants with examples or content…

This study investigated the inclusion of English language learners (ELLs) in state standards and assessments, as measured by comments made by peer reviewers in the federal evaluation of states' standards and assessments. As required by the Elementary and Secondary Education Act (ESEA), reauthorized in 2004 as No Child Left Behind (NCLB), states…