The purpose of the current study was to examine dimensionality and concurrent validity evidence of the EARLI numeracy measures (DiPerna, Morgan, & Lei, 2007), which were developed to assess key skills such as number identification, counting, and basic arithmetic. Two methods (NOHARM with approximate chi-square test and DIMTEST with DETECT…

Evidence is presented for the immediate apprehension of exact small quantities. Participants performed a quantification task (are the number of items greater or smaller than?), and carry-over effects were examined between numbers requiring the same response. Carry-over effects between small numbers were strongly affected by repeats of pattern and…

Two ideas to use as a bulletin board display as an activity center, or as worksheets emphasizing whole number concepts are described. (JT)

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.

Compares one study in which 5-year-olds and another in which adults quantified random patterns of dots under unlimited exposure duration. Data on operating ranges and rates for subitizing and counting are included. (JMB)

Practice on computation is provided using new and novel situations, with discovery of number patterns a bonus of the computation. Activities with disguised addition and multiplication tables for whole numbers and integers are presented for varying levels. (MNS)

The Euclidean algorithm for finding the greatest common divisor is presented. (MNS)

These worksheets deal with sums of numbers. Students are asked to find the relationship between the last number in the series, the number of addends, and the sum. (MP)

A variety of calculator activities is described for developing problem solving skills without getting involved in tedious computations. (JT)

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)

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)

Three worksheets dealing with number triangles are given. Exercises are designed to lead students to discover number patterns within the triangles. (MP)

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…

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)