This book is an exploration of story and its importance in early childhood. It provides a thorough theoretical foundation, and considers how to practically implement the use of stories to aid children's wellbeing and holistic development. The chapters cover topics including cognitive and emotional development, creativity, play, mathematics,…

Ben, a good mathematics student, participated in a seven-week study. Describes three tasks that reflect impact of textbooks, real-life connections, and mathematical symbols. Shows that Ben's notion of one-half was task-dependent, concrete, and based on physical actions. (NI)

This book offers a broad view for a varied audience of what the vision expressed in all three National Council of Teachers of Mathematics' Standards documents will look like when aligned with practice and outlines ways in which desired changes can be realized. Six sections and 21 chapters in the book are: Section I--History: (1) "Paths to the…

This paper proposes a semantic analysis in which meanings of word problems are structures that include class and order relations, and suggests a hypothesis of developmental levels that can account for children's performance of these problems at various ages. The different kinds of problems vary in the complexity of semantic structures and the…

Outlines one teacher's questioning of the understanding of computational processes by her students in mathematics class. Points out the importance of teaching the context of meaning and its application in mathematics. (MD)

Analyzed was the mental activity required to answer Profile Test questions. This was then related to the results of pupils with differing profiles. Most of the mental activity could be reduced to three categories of knowledge: data, short operations, and paths. These categories are then discussed and applied. (MNS)

Mathematics instruction can be approached as a cognitive skill, as illustrated by these elementary-level classroom activities. (LH)

Discussed is the importance of establishing the link between students' understanding of mathematics in real world settings and the symbolism used to represent that mathematics. Examples provide evidence that students and sometimes teachers fail to establish that link. References are given for resources providing strategies and contexts to assist…

How multiplication is usually taught in school and how it could be taught are discussed. Development of understanding is illustrated through children's words and work. (MNS)

Metacognition is described and suggestions for teachers about developing and improving metacognitive skills in performing mathematical tasks are given. (MNS)

This discussion is primarily designed to increase teachers' awareness of Piaget's theory of cognitive development and implications for mathematics in the middle school. It is hoped such awareness will compel instructors to adopt strategies that help pupils gain more from mathematical experiences, by providing impetus for innovation and…

Describes a method of teaching the order of mathematical operations based upon the psychological theory of conceptual generalization. (MDH)

Classroom discourse can nurture students' appreciation of mathematics as a community activity by involving students in defining the curriculum, engaging in authentic mathematical inquiry, and using the history of mathematics to understand how mathematical thought develops in society. (MKR)

Describes the use of a graphic organizer--webs--to help students learn to connect concepts in mathematics. (MKR)

One of a series of activity guides designed to aid teachers in developing the thinking skills of intermediate grade students, this publication offers a variety of learning activities and resource materials. The activities and resources include: a calendar which lists important days and birthdays in December, January, and February; poems; word…