Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found…

The problem of racial and ethnic discipline disproportionality is both long-standing and widespread. Educators must address this issue by identifying rates of discipline disproportionality, taking steps to reduce it, and monitoring the effects of intervention on disproportionality. The purpose of this guide is to provide a reference for…

This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…

The authors examined the effectiveness of strategy instruction taught by general educators in mixed-ability classrooms. Specifically, the authors compared the mathematical word problem-solving performance and computational skills of students who received schema-based instruction (SBI) with students who received general strategy instruction (GSI).…

Presents solutions for a problem concerning doubling a recipe from a previous article on number concepts in the October 1997 issue. (ASK)

This book addresses different types of thinking, including critical, creative, and analytical, and presents a variety of problem-solving strategies, along with specific ways they can be taught to students. The main emphases of the book are thinking and mathematics, problem solving, and the application of computational skills. The problem-solving…

Two games and one activity designed to be used with a hand-held calculator are presented. (MK)

The focus is on multi-step problems, with suggestions on helping students understand the mathematical relations, decide which computational procedures to use, and identify the sequence in which computations should be performed. An activity to aid understanding of variables is also included. (MNS)

A distinction is made between estimation and checking, and an analysis of standard errors made on calculators when pupils are checking answers is given. (MP)

Five calculator activities are described that are designed to explore ordered operations. Suggestions are given on mathematical objectives, strategies for solving, and possible extensions or follow-up activities. (MP)

Definitions of estimating and approximating are given and areas where these skills are used (such as practical situations, problem solving, and measurement) are discussed. Nine activities which range from second to twelfth-grade level are suggested. (MK)

Presents a problem on counting squares that emphasizes the computation and identification of squares. (ASK)

Addresses the principles and problems associated with the use of significant figures. Explains uncertainty, the meaning of significant figures, the Simple Rule, the Three Rule, and the 1-5 Rule. Also provides examples of the Rules. (ML)

Problems and activities are presented for which "I can't do it" or "It can't be done" are the correct responses. Including problems of this type in the curriculum adds a new dimension to students' learning and helps to develop better problem solvers. (Author/MK)

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