This study used a person-centered approach to examine mother-daughter dyad behaviors when jointly solving addition problems during a card game. The goal was to identify maternal and child profile behaviors during the interaction as predictors of children's autonomous addition accuracy and strategy use at the end of first grade. Videotaped…

Thinking and learning are corresponding and interdependent processes in every classroom. To improve learning, teachers must be open to new ideas, particularly ideas that locate conditions for maximum learning. This paper presents four overlooked but critical ideas that identify a common area, a GAP experience within which maximum learning is…

Metacognition is a crucial prerequisite for self-regulated learning and refers to the knowledge and the regulation of cognitive processes. Several authors argue that children at preschool age can use initial metacognitive control strategies and monitor their learning activities. This fact will create the conditions for promoting metacognitive…

Metacognition is central to children's cognitive development. However, there is conflicting evidence about children's ability to accurately monitor their performance and subsequently control their behavior. This is of particular interest for mathematics topics on which children exhibit persistent misconceptions--that is, when children's knowledge…

Learning, development, and response to instruction often involve changes in the strategies that learners use to solve problems. In this chapter, our focus is on mathematical problem solving in both children and adults. We offer a selective review of research on three classes of factors that may influence processes of strategy change in…

The purpose of the study was to investigate the effectiveness of teaching a three-step cognitive strategy (TIP) using the schema broadening procedures on functional mathematical problem solving skills of young adults with intellectual disability (ID). We randomly assigned 14 learners with ID to the control and experimental group before the…

In Finland, schools' effectiveness in fostering the development of transversal skills is evaluated through large-scale learning to learn (LTL) assessments. This article presents how LTL skills--general cognitive competences and learning-related motivational beliefs--develop during primary school and how they predict pupils' CPS skills at the end…

Developing critical numeracy is important in a society where mathematics plays a particular and significant role. One way of helping learners to develop the level of numeracy required to participate in society is by exploring ideas embedded in rich, accessible tasks. These can be linked to contexts that have relevance in their lives. One…

This study investigated the effects of cognitive strategy instruction on the mathematical problem solving of three adolescents with spina bifida. Conditions of the multiple-baseline across-individuals design included baseline, two levels of treatment, posttesting, and maintenance. Treatment 1 focused on one-step math problems, and Treatment 2…

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…

The didactic function of business games is often seen only in the development of sociocommunicative competences and general problem-solving strategies. An equally important aspect of business games lies in the acquirement of technical and problem-oriented knowledge, which is the focus of this article. Moreover, this knowledge dimension is further…

Self-regulation is the controlling of a process or activity by the students who are involved in Problem solving in Physics rather than by an external agency (Johnson, 2011). Selfregulated learning consists of three main components: cognition, metacognition, and motivation. Cognition includes skills necessary to encode, memorise, and recall…

This study examines the conceptual learning and cognitive development processes of schoolchildren engaged in problem solving activities in a non-school, workplace setting known as the exploratory bicycle shop. The exploratory bike shop is a commercial bicycle shop: a) that has been adapted for combined retail and educational purposes and b) where…

Children sometimes solve problems incorrectly because they fail to represent key features of the problems. One potential source of improvements in children's problem representations is learning new problem-solving strategies. Ninety-one 3rd- and 4th-grade students solved mathematical equivalence problems (e.g., 3+4+6=3+__) and completed a…

Reported are two studies which describe the early development in children of the ability to consider every one of an array of instances. Taken together with other recent studies, the data reveal early development in preschool children of a fundamental, general problem solving skill. (PCB)