This collection of activities is designed to show how graphics display calculators can be used to explore pentominoes and tangrams. Activities include games and puzzles developing spatial relations. Teaching notes, solutions, and calculator instructions are included as are blackline masters. (MM)

Presents a mathematics problem on patterns. Outlines and discusses the general problem-solving procedures. (ASK)

Presents an activity for identifying patterns in the book "The Grouchy Ladybug" by Eric Carle. The book is appropriate for teaching many concepts including time, developing an alternative story line, and constructing a new book to involve children in thinking about how time passes on a clock as part of exploring patterns. (ASK)

Provides some examples of mathematics problems that have solutions involving triangular numbers. Illustrates the observation of number patterns from which conjectures and generalizations can be made. Suggests other extensions for further investigation. (ASK)

Presents an activity introducing probability and patterns to multigrade students. Uses the storybook "The Thirteen Days of Halloween" to demonstrate numbers, patterns, and probability. (ASK)

Introduces a popular children's book which is the foundation for activities that introduce students to some basic concepts of probability. Recommends the use of this book to engage middle grade students in exploring patterns related to counting. (ASK)

Describes a kindergarten teacher's experiences in using the song "The Twelve Days of Christmas" to increase students' awareness of basic number sense and understanding of patterns. (ASK)

Presents a dice game that students can use as a basis for exploring mathematical probabilities and making decisions while they also exercise skills in multiplication, pattern identification, proportional thinking, and communication. (ASK)

Presents responses to a division problem appearing in the September, 1998 "problem solvers" section of this journal. (ASK)

Argues that mathematics is, to a large extent, the study of patterns. Presents an activity in which students search for patterns in the Fibonacci sequence and Pascal's Triangle. (ASK)

Describes how classification came alive in a third grade classroom as children searched for rules or properties defining the five Platonic solids, then constructed a precise definition to classify these solids. (ASK)

Describes a lesson in which second grade students learn about data management, number sense, and patterns as they analyze, classify, and describe their fathers' shoes. (ASK)

Describes a problem-solving lesson involving 24 attribute blocks in which students discuss relationships between patterns, colors, shapes, and quantity. (ASK)

Presents responses to the pattern problem that appeared in the November 1998 "Problem Solvers" section of this journal. (ASK)

Describes a project that features a video in the form of a documentary built around a series of six case studies in mathematical thinking: geometry, number, measurement, algebra, chance and data, functions, and calculus. Chooses an example from each area to illustrate inductive and deductive thinking-patterns and proof. (ASK)