Describes a consumer-math-skills project in which students make geometric shapes using pretzel sticks and gumdrops, then start a shop to sell them. This requires counting costs, pricing items, setting up shop, using money, making change, and understanding profits. Students reflect on the experience and write lists of the math they used to create…

Touts using the schoolyard for teaching mathematics. Mathematics is a way of describing the world and its patterns; schoolyards are especially suited to concept application and problem solving. Mathematics in a natural setting also allows students and teachers to meet learning objectives in more than one subject area. Includes math activities for…

Students set up a pizza parlor and choose a name for the parlor, menus and drinks, the number of customers they will serve, and numbers of table settings and ingredients they will need. Students choose work roles in the parlor, and student customers pay the parlor with paper money they designed. Includes full activity instructions, pizza recipe,…

Parents' math and science-promotive behaviors predict children's activities and interest in these courses. (Contains 1 table and 2 figures.)

This paper reports on a design experiment in the domain of number sequences conducted in the course of the "WebLabs" project. We iteratively designed and tested a set of activities and tools in which 10-14 year old students used the "ToonTalk" programming environment to construct models of sequences and series, and then shared…

Children's early mathematical experiences play an enormous role in the development of their understanding of mathematics, and serve as a foundation for their cognitive development. In this descriptive study, we observed the naturally occurring mathematical activities engaged in by thirty-nine 3-year-olds, equally divided by race/ethnicity and…

Negative numbers extend our number line and greatly simplify our calculations, but sometimes students struggle with the concepts. These fun activities will help kids to make sense of the "other half" of our number system.

Least squares regression is the most common method of fitting a straight line to a set of bivariate data. Another less known method that is available on Texas Instruments graphing calculators is median-median regression. This method is proposed as a simple method that may be used with middle and high school students to motivate the idea of fitting…

Learning how to use mathematics curriculum materials to create learning opportunities is an important part of the work of teaching. This paper presents findings from a study involving 15 elementary preservice teachers enrolled in, first, a content and, then, a methods course, and discusses the extent to which three curriculum interventions…

Analysis of variance (ANOVA), a technique included in many introductory statistics courses, analyzes the relationship between a quantitative dependent variable and one or more independent qualitative variables. The nature of the relationship is expressed in a model with unknown parameters. Many textbooks emphasize the mechanics of the technique…

More than 2 decades have passed since Geoffrey Saxe's first visit to Papua New Guinea, when he began his inquiry into the highly idiosyncratic counting system of Oksapmin's people. As evidenced by his account, a quarter of a century is a period long enough to make historical shifts visible. The point of departure for this commentary on…

The Mobius strip, torus, and Klein bottle are used to graphically and analytically illustrate the differences between orientable and non-orientable surfaces. An exercise/laboratory project using the non-orientable Boy surface is included. (Contains 11 figures.)

Rhymes are often useful teaching devices for small children, and can even become a creative resource for teaching mathematics. The students and their teachers can change many of them to better fit their environment and/or extend the rhyme so that higher numbers are involved. A number of rhymes and folk tales lend themselves to more detailed…

This article describes a mathematics and literature interdisciplinary project for preservice elementary teachers that was implemented in several urban middle school classrooms. This project, based on the novel Chasing Vermeer by Balliett (2004), involved a dramatization of one of the chapters from the book and a follow-up mathematical exploration.

Students, parents, and sometimes even teachers often believe that complex mathematics is too difficult for certain learners. But the programs described in this article demonstrate that anyone can learn, understand, and use complex math. Lesa M. Covington-Clarkson boosted the confidence of black 6th graders by teaching them to use graphing…