Games and activities, which are fun, practical, and related to the child's world, are presented. Suggestions are given for building skills in estimating lengths, guessing how many, recognizing patterns in counting, multiplying with "waffles," classifying by attributes, and adding and subtracting with special cards, relays, and play…

A game similar to Nim is described. Students in grades three through six have played the game in conjunction with the study of modular arithmetic,and have been able to develop winning strategies. (SD)

Vertical scales of numbers in ascending order can be used to teach addition, subtraction, multiplication and division processes to mentally retarded students. (CL)

This booklet provides worksheets for children in preschool through grade one. The focus is on developing number concepts, with activities on matching numbers with pictures and on completing sequences, addition and subtraction facts, measurement ideas, fraction ideas, and identifying shapes. (MNS)

The goal of this study was to describe characteristic stages in the development of children's understanding of place value. Sixty children (15 in each grade, 2 through 5) at 5 elementary schools in Butte County, California, were individually administered 18 tasks designed to reveal their thinking about place value and part-whole relations. On six…

An experimental test battery (the Johnson O'Connor Research Foundation battery) designed to measure numerical facility was administered to 1,451 subjects at 12 testing centers across the United States over a 5-month period. Five work samples were included: (1) arithmetic; (2) counting backwards; (3) number reasoning; (4) rule learning; and (5)…

Because second grade students had difficulty in explaining what they knew about the number 15, it was suspected that they did not understand place value. Realizing every number has a place value and its place provides facility for calculation, a teacher attempted to ascertain second grade students' (N=18) knowledge of place value. Results of…

The principles of cognitive psychology as they relate to rational number learning and instruction are discussed. Issues of knowledge acquisition, organization, retrieval and transfer are reviewed as they affect this area of the elementary school curriculum. Specific problems in learning about rational numbers and systematic student errors are…

Ways of finding the sums of some interesting sequences of numbers are discussed. Finding the patterns creates a challenge, but the patterns are not too difficult for average pupils to discover. Mathematical induction can then be used to prove the formulas. (LS)

Suggests exercises to increase fluency with numbers for use primarily with children and teenagers learning English as a second language. (KM)

This is a supplementary unit to Mathematics for High School, Intermediate Mathematics, Part 1. In this publication, real numbers and rules for operating them are examined. The study begins by examining whole numbers and some of the properties of addition and multiplication of whole numbers. Most of the basic rules for algebra are developed from…

The factor-analytic history of the isolation and identification of the cognitive ability construct known as Number or Numerical Facility is described. Empirical documentation from the psychometric literature is discussed, and examples of items from a variety of tests which have defined and been associated with the Number factor are included to…