Efforts to integrate mathematics and science have been widely recognized by mathematics and science educators. However, successful integration of these two important school disciplines remains a challenge. In this article, a mathematics and science activity extends the use of Venn diagrams to a life science context and then circles back to a…

This article describes middle school mathematics activities that relate measurement, ratios, and geometric sequences to finger positions or the placement of frets on stringed musical instruments. (Contains 2 figures and 2 tables.)

Presents an activity using the cardboard tube from a roll of bathroom tissue or paper towels to help students examine and extend their understanding of the geometric properties of parallelograms. (ASK)

Explores middle school students' understanding of area and perimeter. Concludes that students need to construct visual representations of figures with given areas and perimeters, generate related word problems, and justify properties to grasp the concepts of area and perimeter. (ASK)

Addresses issues of students' understandings of representative values of data--how representative values should be introduced, and what role student understanding of representative values plays in their ability to analyze sets of data. Highlights the importance of teacher support of student development of conceptual understandings of multiple…

Presents an activity in which students learn how to label graphs in order to make them meaningful. (ASK)

Presents a game designed to help middle school students think about geometric properties and the relationships among them. (ASK)

Introduces an activity designed to develop statistical concepts such as the distribution for a set of data, various interpretations of the mean for a set of data, the limitation of the mean for distinguishing distributions, variation in data, variation in data from the mean, and the MAD as a measure of variation in data from the mean. (ASK)

Argues that the way in which students solve a particular problem can be analyzed to gain insight into how students think about the mathematics involved. Discusses the use of knowledge gained from listening to student conversations about their strategies to orchestrate classroom discussions. (ASK)

Describes an investigation that focuses on comparing data sets by using data on 37 brands of peanut butter and their quality ratings. (ASK)

Shares experiences with coaching the Sixth-grade Math Olympiad Team in a middle school. Discusses the Olympiad and concludes that this activity is one way of providing mathematical experiences that have an enriching effect on young women and encourage their personal and mathematical growth. (ASK)

Presents a game designed as a chance-and-data activity that can be used to illustrate the use of probability-tree diagrams and multiplication and addition rules of probability. (ASK)

Features a question that focuses on the use of cryptology to teach modes. (ASK)

Discusses how students construct their own understanding of mathematics as they discover and then learn it in class. Presents Krystal's method to subtract mixed numbers that her peers adopt and name for her. (ASK)

This collection of community mathematics modules, or "math trail", is appropriate for middle grades and high school students (grades 5-12). Collectively, the modules pay attention to all 10 of the National Council of Teachers of Mathematics (NCTM) standards which include five content standards (Number and Operations, Algebra, Geometry,…