The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…

Mathematical concepts occur spontaneously from many topics and can be developed in the framework of cross-curricular schoolwork. Consequently, students can gain knowledge of where mathematics arises and insight about its purposes. (Included are activities dealing with the reflectional and rotational symmetries of automobile hubcaps evolved from…

Presented are 44 examples in which students are invited to guess what pattern of numbers is emerging and to decide whether the pattern will persist. Topics of examples include Pascal's triangle, integers, vertices, Fibonacci numbers, power series, partition functions, and Euler's theorem. The answers to all problems are included. (KR)

Describes a model using a group of fifth-grade students to better understand the assessment standards. Discusses the activity, the lesson on tessellation, and instructional decisions from the perspective of the assessment standards. (ASK)

Describes activities focusing on reading, recording, and analyzing schedules. Provides objectives, directions, worksheets, extensions, and answers to each of the activities. (YP)

Pattern recognition is viewed as a fundamental cognitive skill that lays the groundwork for the ability to form abstractions and generalizations. Incorporating patterning into the curriculum of young children is encouraged. (MP)

Discusses the importance of identifying and describing the pattern by students in algebra class. Provides some examples showing the usefulness of the method seeing the pattern from mathematical materials. (YP)

Described are some ways in which individual states code driver's license numbers. The encoding of month, date of birth, year of birth, sex, and others involving elementary mathematics and the use of an elaborate system of hashing functions in describing the first, middle, and last names are discussed. (KR)

A series of activities involving figurate numbers that allow students at various levels to integrate numerical, geometric, arithmetic, patterning, measuring, and problem-solving skills are presented. A discussion of the geometric and numerical aspects of figurate numbers is included. Appended are IBM Logo procedures that will create pentagonal…

Presents a brief definition and examples of residue designs while sharing some of the algebraic thought that a student used to form generalizations about the patterns discovered during the investigations of residue designs. (ASK)

Presents a problem suggested for students in grades one through six concerning the concepts of grouping, reasoning, and pattern finding. Discusses the student problem-solving process. (ASK)

Presented are simple activities that can be completed by students at home with the help of a parent. Activities include the topics of sorting, patterning, counting and numbers, geometry, adding, subtracting, and measuring. Each activity describes a series of sequenced tasks related to one of the topics. (KR)

Four activity workshops are suggested which might be used for several different purposes. The reproducible worksheets address clock patterns, patterns with tides, extending Pythagoras, and fractions extended. (PK)

Illustrates where several unexpected patterns of antiderivatives can be realized during calculus instruction via the application of integration by parts to the exploration of particular members of families of functions. (JJK)