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)

Some patterns resulting from certain operations on numbers are discussed, analyzed, and explained. A method for predicting the outcome of these operations for any number is developed.

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)

Described is a procedure for teaching children to learn to count on with finger patterns after they have learned to count with objects. The technique has been found to be successful with children of all ability levels at grades one and two. (RH)

Magic squares are used both as a vehicle for arithmetic drill and the development of mathematical concepts for second-grade students. By searching for patterns within the squares, additional number concepts are developed along with the concept of symmetry. (JP)

Discusses the geometrical array of the keys on a calculator that can be turned into a problem-solving, problem-posing situation for the upper elementary or middle school classroom. Provides figures showing the arrays, including rows, diagonals, crosses, rhombi, angles, and squares. Lists seven references. (YP)

Four worksheets for levels one-eight are included. Practice on addition, multiplication, fractions and decimals, and integers is provided through activities involving puzzling patterns. (MNS)

Describes four activities designed to discover numerical patterns using a calculator or paper and pencil. Provides tables and figures for the activities. (YP)

Presents two practice-discovery activities to furnish computational review in a nonroutine setting. Provides a worksheet for the activities. (YP)

Presents an activity to help students begin to seek patterns and make mathematical predictions by using a counting game. Contains reproducible student worksheets. (MKR)

This guide is organized around a list of skills that all students should know and be able to do at each grade level from kindergarten through sixth grade. It provides parents, teachers, and students with knowledge of what is being taught in a logical scope and sequence by grade level. The purpose of this guide is to help build a basis for…

Activities that allow students to represent patterns concretely before showing the patterns in color on paper are presented. Three basic activities are described, with suggestions made for extensions that allow further pupil exploration of multiples. Student discovery of relationships not found by the teacher is expected. (MP)

Presented is a method of teaching adding and subtracting as an interrelated series of patterns using a number line. Examples of the use of this method as well as the materials necessary are discussed. Applications of the method to multiplication and division are given. (CW)

Ten teachers successfully taught first- and second-grade children to count up while keeping track with finger patterns. Learning to subtract by counting up greatly improved children's performance on take-away, compare, and equalize word problems, and enabled them to accelerate by as much as three years their learning of subtraction topics. (MNS)

Activities and problems are interspersed with commentary in this book on the learning and teaching of mathematics. The emphasis is on helping students to enjoy mathematics through an awareness of structure and patterns. The chapter titles are as follows: (1) "My Three Sons--A Game"; (2) "The Tower Game"; (3) "Mathematical Games on a Different…