This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…

"Project-Based Learning in the Math Classroom" explains how to keep inquiry at the heart of mathematics teaching and helps teachers build students' abilities to be true mathematicians. This book outlines basic teaching strategies, such as questioning and exploration of concepts. It also provides advanced strategies for teachers who are…

Mastering algebra is important for future math and postsecondary success. Educators will find practical recommendations for how to improve algebra instruction in the What Works Clearinghouse (WWC) practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students". The methods and examples included in…

How do you refute the erroneous claim that all ratios are fractions? This book goes beyond a simple introduction to ratios, proportions, and proportional reasoning. It will help broaden and deepen your mathematical understanding of one of the most challenging topics for students--and teachers--to grasp. It will help you engage your students,…

This document offers a planning tool for grades 3-7 that can be used by regional comprehensive centers, other technical assistance centers, and state departments of education to plan professional development for teachers. It is based on the "National Mathematics Advisory Panel Report" which was published in 2008. The panel synthesized its final…

This article describes five representations and the connections between and among them. It also describes how to use multiple representations to support students' mathematical understanding.

Describes ways of thinking about probability and some common student misconceptions. Suggests ways of addressing students' misconceptions and illustrates these ideas with an example. (ASK)

Elementary combinatorial problems may be classified into three different combinatorial models: (1) selection; (2) partition; and (3) distribution. The main goal of this research was to determine the effect of the implicit combinatorial model on pupils' combinatorial reasoning before and after instruction. Gives an analysis of variance of the…

Reviews the use of chi-square statistics for goodness of fit. Examines how to help students relate their earlier work with independence to the use of chi-square statistics. (KHR)

Describes the habits of mind that would be most desirable for students to develop. In high school for example, content-specific habits would include geometric habits of mind that support the mathematical approaches, and algebraic ways of thinking that complement the geometric approaches. (AIM)

It is difficult for students to unlearn misconceptions that have been unknowingly reinforced by teachers. The examples "multiplication makes bigger,""pi equals 22/7," and the use of counter examples to demonstrate the numerical property of closure are discussed as potential areas where misconceptions are fostered. (MDH)

A classroom exercise to help college students of economics conceptualize, create, and learn from graphs is described. The technique is illustrated with an exercise concerning the concept of supply and demand in consumer markets. Classroom time required for the activity is small, and students become adept at manipulating models without anxiety.…

Current knowledge about cognitive development in mathematics is reviewed, specific effective strategies for presenting materials in class are described, and effective strategies for mathematics program content and organization are outlined. Substantial information on recent research and on instructional materials is included. (MSE)

The Education Technology Center (ETC) Fractions Group works to investigate well-documented difficulties that children have in understanding fractions. A central assumption underlying this group's inquiry is that students' difficulties in manipulating fractions arise from their lack of understanding about the nature of fractions. In order to learn…

Reports misconceptions identified in students with respect to the topic of parallel lines and the teaching strategies found to be useful in challenging those misconceptions. (11 references) (MDH)