Teachers often express to Marulyn Burns their worry about the need to "cover the curriculum." In response, she draws on one of her favorite quotes: "You don't want to cover a subject; you want to uncover it." This quote is from "The Having of Wonderful Ideas and Other Essays on Teaching and Learning" by Eleanor…

Over the years, the author has learned that illustrated books can help dispel the myth that math is dull, unimaginative, and inaccessible. They can spark children's mathematical imaginations in ways that textbooks and workbooks often don't. Picture books can also help students who love to read--but think math isn't their thing--experience the…

Simple, classroom-tested probability activities that capture students' interest, develop critical thinking skills, and reinforce addition facts are suggested. All activities involve investigating the probabilities of the sums that come up when two dice are tossed. (MT)

More than two-thirds of American adults fear and/or loathe mathematics. This book looks at why math has the dreadful reputation that it does and provides a chance to face math phobia and help others. This book delivers a positive message about what math can and should mean to all and how children can be kept from adopting the negative attitudes…

Innovative teachers can make writing as an integral part while teaching math to students. The teachers will have to implement the math instruction that enables students to organize and consolidate their mathematical thinking through communication, analyze and evaluate the mathematical thinking of others, and use the language of mathematics to…

Writing is a key component in developing mathematics thinking and understanding. Four strategies to encourage student writing to describe thinking and reasoning are offered. Teachers can use this writing to verify student understanding of mathematical concepts. (MT)

Through her work as a consultant, Burns has found that a handful of students in all classes lack an adequate foundation in basic math concepts and lag far behind their peers in both understanding and skills. Students who lack a foundation on which to build new learning are generally not well served even by well-planned, differentiated instruction;…

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)

Presented are five scenarios of how division might be introduced to a class of third graders using experiences with the concept, process, and symbolism of division rather than algorithms. Instruction that makes problem solving the emphasis of students' learning is described. (KR)

Offers suggestions for presenting multiplication to elementary students at the primary and intermediate levels. At the primary level, the emphasis is on introducing the concept of multiplication; at the intermediate level, the focus is on numeration and place value (using grids and a place value game). (SM)

It is not complex to teach the algorithm for multiplying fractions so that children can multiply numerators and denominators to arrive at correct answers. However, it is a challenge to teach so that students build understanding of multiplication of fractions, extending what they have already learned about fractions and about multiplication of…

Reflections of a second grade mathematics teacher include the importance of organizing the year into units (place value, sorting, geometry, probability, comparing numbers, and geometry again), the benefits of giving choices within the classroom, assigning homework where the student must teach a lesson to someone at home, and the ability of the…

Presents strategies for teaching elementary students about ratio and measurement. Primary students read and discuss a story that involves measurement, then write letters of advice to one of the characters. Intermediate students read the story, write and share letters of advice, discuss the benefits of standard measures, and measure themselves. (SM)

Teaching teachers to become observers and inquirers into mathematics will help change how they teach math to students. Essential to all professional development in mathematics is the idea that making sense of mathematics is key to learning. Just as learning to read calls for bringing meaning to the printed page, learning math calls for bringing…

A lesson for a sixth grade class that came out of an article in a Sunday newspaper is described. The instruction centered around an experiment in probability that was seen to provide an opportunity to add to pupil intuitive understanding of some basic notions. The lesson was viewed as worthwhile. (Author/MP)