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 activities involving patterns that can deepen young students' understandings of patterns. (ASK)

Features an investigation in which students study the time of each bounce of a ball and the total time that the ball would bounce. (ASK)

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)

Presents a murder mystery in the form of five Calculus I worksheets in which students must apply mathematics to determine which of the suspects committed the murder. Concludes that effort was made to create scenarios that realistically lend themselves to the use of mathematics. (Author/ASK)

Presents examples of short writing assignments that are intended to keep the lines of communication open between teachers and students. Discusses their outcomes and student feedback and suggestions. (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)

Presents a probability activity addressing students' misconceptions regarding the Law of Large Numbers. Provides students with better conceptual understanding of the Law of Large Numbers. (ASK)

Suggests that student writing has definite benefits for mathematics learning. Presents five activities to help teachers use writing in their mathematics classes. (ASK)

Provides practical applications of elementary coordinate geometry while discussing how mathematics is used to assess the security of systems. (ASK)

Describes some general techniques for making collapsible models, including spiral models, for all the Platonic solids except the cube. Discusses the nature of the dissections of the faces necessary for the construction of the spiral cube. (ASK)

Discusses an algorithm that converts a fraction in simplest form into a terminating decimal and allows students to explore the efficacy and conceptual bases of a mathematical algorithm. (ASK)

Discusses the importance of providing concrete examples of successful activities and assignments in designing a mathematics course for a general audience. Presents a course entitled The Language of Mathematics. (ASK)

Presents four puzzles for mathematics classrooms. Recommends that recreational mathematics should be incorporated into the standard curriculum as a way to interest young students in the wonders of mathematics. (ASK)