Discusses several measures of success for a simple game. Describes ways in which comparisons between players and comparisons between a player and simulation can be made. (Author/ASK)

Provides a classroom exercise and an example for illustrating the central limit theorem. (ASK)

This teacher guide helps build a solid foundation in algebra for students in grades 3-5 in which students gain essential understanding of properties of numbers, variables, functions, equations, and formulas. Throughout the problem solving activities, students use computational skills and gain a deeper understanding of the number system. Students…

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)

Presents an activity to help students understand and appreciate the use of diagrams, particularly dot plots and stem-and-leaf diagrams. (ASK)

Issues of measurement are fundamental in statistics but are often overlooked in introductory courses. Presents an interactive exercise that encourages students to think critically about how things are measured and to realize that deciding how to measure something can determine the outcome of an investigation. (Author/ASK)

Inspiring exercises are used to guide students at all levels to rediscover the essential meaning of various individual pieces of mathematics. Presents five sets of examples including Abel's identity, Hensel's lemma, finitely generated Abelian groups, Baire's category theorem, and the Weierstrass preparation theorem. (Author/ASK)

Discusses the importance of connecting mathematics to real world situations. Presents a mathematical activity in which students decide how many states touch each other by counting the bordering states on the map. (ASK)

The concept of confidence intervals is difficult for students to grasp. Describes an activity that helps students understand what it means to have confidence in a process. (Author/ASK)

Discusses some surprising properties of the natural numbers set such as axioms for natural numbers and mathematical induction. (ASK)

Describes an activity on data management and statistics in which students were asked to think of a topic and collect information on it to analyze and represent in graphs. (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…

Describes a practical classroom activity for sorting lists of numbers to lead to statistical analysis. (Author/ASK)

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

Describes the use of investigations for the purpose of assessment, teaching, and learning. Lists types of questions that can be included in investigations. Explains how to write an investigation and provides some examples. (ASK)