This project tested the effects of adding instruction of trios of children in patterning, mathematics, early literacy, or social studies to ongoing instruction in kindergartens. Children were randomly assigned to trios which were randomly assigned to one of four kinds of instruction. A quarter of the trios received patterning instruction with a…

Research Findings: In each of 16 public school classrooms serving multiethnic low-income neighborhoods, 2 first graders were assigned to be taught patterning, 2 to be taught reading, 2 to be taught mathematics, and 2 to be taught social studies for 15-min sessions 3 days per week for 6 months. Assignment within each classroom was randomized. The…

This article highlights investigating intriguing number patterns utilising an emerging technology called the Square Tool. Mathematics teachers of grades K-12 will find the Square Tool useful in making connections and bridging the gap from the concrete to the abstract. Pattern recognition helps students discover various mathematical concepts. With…

This paper is concerned with the use of spreadsheets within mathematical investigational tasks. Considering the learning of both children and pre-service teaching students, it examines how mathematical phenomena can be seen as a function of the pedagogical media through which they are encountered. In particular, it shows how pedagogical apparatus…

Several math activities designed to teach patterns which can be found in arrays of 16 squares organized into a four-by-four pattern are presented in this issue of "Student Math Notes." The activities include: (1) determining how many squares and rectangles are contained in a four-by-four array; (2) figuring out the least number of lines…

Introductory and follow-up activities with Iggies, a tool for teaching and reinforcing the ability to discern likenesses and differences, are given. Two lessons for kindergartners are detailed, and some suggestions for other uses of Iggies are noted. (MNS)

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)

Some number investigations on the multiplication table are provided by a sequence of four activity sheets. Beginning with examples of triangular and square numbers, the activities lead to the generalization. (MNS)

Five activities involving an array of numbers called an even triangle are given. Properties of the triangle are listed and some generalizations are proven. (MP)

Three worksheets are given that use calculators to free students from computational restrictions and allow them to focus on the recognition of patterns and the application of numeration concepts in the development of their estimation skills. (MNS)

This booklet offers teacher instructions and student worksheets on number activities for gifted primary grade students. Three sections are included: (1) "moving numbers" which asks students to supply the missing member or members of addition and subtraction equations; (2) "number trails," which involve the completion of number…

This collection of activities resulted from a visit by the Polish author to the Teachers' Center Project at Southern Illinois University at Edwardsville in 1980. The set of 30 activity sheets involve blocks with various types of patterns depicted. Directions for using each sheet and questions to be answered are then given. Elementary school…

Presented are problem-solving experiences with area, volume, and algebraic expresssions resulting from data collection. Three worksheets are included for students in grades 7-12. (MNS)

The articles in this collection of readings come principally from the last ten years of the "Arithmetic Teacher." The emphasis is on teaching mathematics in grades K-6, although some articles may include teaching ideas and activities for grades seven and eight. Articles on measurement geometry are not included; the focus is on the development of…

Four worksheets designed to be used with calculators are presented. For levels 1-2, counting is the focus; levels 3-4, estimation; levels 5-6, use of memory keys; and for levels 7-8, patterns. (MNS)