This study explored the problem-solving schemas developed by 7th-grade pre-algebra students as they participated in a teaching experiment that was designed to help students develop effective schemas for solving algebraic problem situations involving contexts of (1) growth and change and (2) size and shape. This article describes the qualities and…

The growth in science understanding and reasoning of 12 children is being traced through their primary school years. The paper reports findings concerning children's growing understandings of evaporation, and their changing responses to exploration activities, that show the complexity and coherence of learning pathways. Children's responses to…

Evaluating the statistical process is considered a higher order skill and has received little emphasis in instruction. This study analyses thirty 15-year-old students' responses to two statistics assessment tasks, which required evaluation of a statistical investigation. The SOLO taxonomy is used as a framework to develop a hierarchy of responses.…

Parenting a gifted child may not be what Mom and Dad expected when they read parenting books and first saw that innocent infant face. A gifted child is a joy and a challenge--rarely predictable, sometimes frustrating and annoying, but never boring. This article discusses the characteristics and vulnerabilities of the gifted. The author offers some…

In terms of the assessment of students, it is generally accepted that open book examinations create an enriched environment, offering the student an opportunity to better understand and respond to a particular question. The present study provided the opportunity to examine this assumption and test it in a controlled manner. During the study of an…

Individual interviews were conducted with 96 K-3 students, stratified according to grade level, achievement level, and gender. The students were asked to explain land-to-hand progressions involved in bringing several common foods to our tables, identify products derived from common farm animals, explain why a pound of cereal costs more than a…

The Kuhn and Pease (p. 279, this issue) article advances the fields of cognitive development and learning by integrating work on executive functions, metacognition, and scientific reasoning. The article also expands developmental work to older children and adults, to personal beliefs, and to social information, and reinvigorates the construct of…

To investigate the cognitive validity of scientific and quantitative reasoning items, "think-alouds" (verbal solutions) were elicited for a general education instrument. Several items were not aligned in terms of anticipated versus actual content, and the instrument's accuracy is questioned. We discuss study weaknesses and merits of this framework…

This study investigates the perceptions and practices of early childhood practitioners in relation to the development of thinking in children aged 3-5 years. Five practitioners working in nursery and reception classes in England were interviewed, and sessions were observed in each setting, including discussions with the children. The results…

Over the past two decades, calculus reformers have called for the use of alternative pedagogical techniques to promote student learning. Some mathematics instructors have responded by developing a set of student projects intended to hone thinking skills and improve the mathematical writing skills of calculus students. Drawbacks to this strategy…

Relatively few studies have attempted to understand the beliefs young pupils have about the mind and learning. This collaborative action research study set out to explore the impact of a thinking skills pedagogy upon a sample of primary school children's learning and beliefs about learning over a period of 18 months. It was found that young…

The purpose of this research was to investigate and describe concrete examples of Year 1 students engaged in "good thinking" and to generate assertions about the ways teachers can foster habits of "good thinking" through science. The research design was a multiple case study of 32 lessons, of which four are analysed in detail in this paper. The…

The tendency to view science as specialized and inaccessible is common. As a result, many people do not persevere in trying to understand it. Although administrators give it a nod in terms of being important, they often see it as something for students who have certain kinds of intelligence and, unlike reading, accept less-than-deep understanding…

In this article, the author discusses the perils of adhering to a data-driven model of instruction, and discusses how writing center coaches can become involved with all academic disciplines represented at their schools--even those with which they are not familiar--in order to help students learn how to think about the things they are studying and…

Databases can be used as cognitive tools to help students integrate and interrelate content areas and thus make learning more meaningful. Sound applications of databases in teaching may actively engage students in analyzing, synthesizing, and evaluating information and constructing knowledge. Through building and exploring databases, students ask…