How can students achieve an understanding of multiplication that allows them to go beyond recall to explain their thinking? Author and mathematics education professor Juli Dixon introduces a program that teachers can seamlessly integrate into existing mathematics instruction. Learn six tactics to help you shift from an anxiety-producing,…

The overarching purpose of this document is to define a new vision for mathematics instruction that explicitly attends to the needs of English Language Learners (ELLs), addressing the interdependence of language and mathematics. The sections in this report are devoted to (1) making clear that the grade-level college- and career-readiness…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

A method for teaching the product rule of differentiation in calculus is described. (MK)

A method for teaching division of fractions without "inverting" is described. (MK)

Discusses the image the populace has of mathematics. Suggest ways of overcoming the misconception of mathematics. (ASK)

This paper demonstrates how calculators may be used to motivate a concept called infinite composition of functions. Several mathematical topics, such as continued square roots, continued fractions, and infinite products are treated and discussed as special cases. (Author/MK)

Suggestions for teaching the concept of division by zero are given. (MK)

Research findings on children's understanding of fractions, gleaned from interviews, are briefly noted. (MNS)

Some strategies for avoiding misconceptions about the greatest common factor and the least common multiple are presented. Several alternative methods for computing each are given. (MNS)

An activity for generating approximations of pi is described. (MK)

The author discusses the use of calculators in calculus classes and difficulties caused by roundoff errors. References for advanced follow-up topics are given. (Author/MK)

A research study with first-grade pupils considered the effect of conservation and transitivity on learning the concept of measurement, and provided insights into the processes children use to solve measurement problems. The tasks, reactions, and implications for instruction are discussed. (MNS)

Six activities useful in developing the idea of prime factorization are described. Some of these activities are best done with a calculator. (MK)

This article seeks to examine some basic concepts of "telling time" and to suggest a more effective way of teaching such a fundamental concept. (Author/MK)