In mathematics education, representations are used in place of mathematical structures, ideas, or relationships to concretize, transform, and represent them. When students interact with these representations, they engage in various cognitive activities such as thinking, reasoning, understanding, remembering, problem-solving, attention, and…

Although growing up in stressful conditions can undermine mental abilities, people in harsh environments may develop intact, or even "enhanced," social and cognitive abilities for solving problems in high-adversity contexts (i.e. 'hidden talents'). We examine whether childhood and current exposure to violence are associated with memory…

An exploratory study aimed at testing CREC, a training programme designed for people with cognitive impairments caused by a stroke, is reported. The goal of the programme is to improve flexibility in thinking through a creative approach based on everyday problems. The programme includes two Serious Games (SGs) developed ad hoc, dealing with the…

This archival data study examined the relations between cognitive abilities and math reasoning for Hispanic English learner (EL) students in grades 1 through 5 with an identified learning disability. The 295 student participants were referred for an initial psycho-educational Spanish or English evaluation due to academic concerns by their school…

We can now get purposefully directed in the way we assess our learners in light of the emergence of evidence from the field of neuroscience. Why higher-order learning or abstract concepts need to be the focus in assessment is elaborated using the knowledge of semantic and episodic memories. With most of our learning identified to be implicit, why…

Multiple evidences in the Technology-Enhanced Learning domain indicate that Game-Based Learning can lead to positive effects in students' performance and motivation. Educational games can be completely virtual or can combine the use of physical objects or spaces in the real world. However, the potential effectiveness of these approaches…

This study addressed predictors of the development of word problem solving (WPS) across the intermediate grades. At beginning of 3rd grade, 4 cohorts of students (N = 261) were measured on computation, language, nonverbal reasoning skills, and attentive behavior and were assessed 4 times from beginning of 3rd through end of 5th grade on 2 measures…

We have developed a process model that learns in multiple ways while finding faults in a simple control panel device. The model predicts human participants' learning through its own learning. The model's performance was systematically compared to human learning data, including the time course and specific sequence of learned behaviors. These…

The ability to compute, problem solve, and apply concepts and skills in mathematics influences multiple decisions in our lives. The National Research Council (1989) reported that mathematics is especially evident in our technology-rich society, where number sense and problem solving skills have increased the importance and demands of advanced…

This article explores the thinking behind students' thinking. (Contains 2 endnotes.)

Teachers intuitively recognize the importance of metacognition but may not be aware of its many dimensions. Mr. Martinez explores the varieties of metacognitive skills and then offers suggestions for cultivating them in learners of all ages. (Contains 4 endnotes.)

Troubleshooting in a practice situation requires two types of information, namely for reasoning about the problem-cause and for finding an adequate solution ("declarative information") and for manipulating the environment ("procedural information"). It is hypothesized that presenting this information piece-by-piece during practice (i.e.,…

This article examines ways in which intuitive understandings may help teachers in developing the thinking of pupils with autism. The article suggests that, by working toward students' development of an autobiographical memory, it may be possible for them to establish an awareness of their own role as a problem solver. (JDD)

In 3 experiments, 93, 97, and 86 college students, respectively, learned how to solve 20 verbal analogy problems and took transfer and memory tests. Results are inconsistent with active responding theory and further indicate that schema induction is maximized when the schemas are made salient and the cognitive system is not overloaded. (SLD)

Designed to help stimulate the development of thinking skills in children of varying abilities and to review basic skills at all elementary grade levels, this book contains 153 "ready-to-go" classroom activities. Included are "total-group,""partner," and "individual" activities. Activities in the book are…