Five reports from a 2-year study are presented. Frequencies and descriptions of systematic errors in the four algorithms in arithmetic were studied in upper-middle income, regular, and special education classrooms involving 744 children. Children were screened for adequate knowledge of basic facts and for receiving prior instruction on the…

Described are two methods of calculating developed by the Dutch WISKOBAS Project: addition and subtraction with a loop abacus and multiplication using a grid model. (MP)

Magic squares are used to generate number games similar to tic-tac-toe. Skills that are reinforced include addition of negative numbers and addition and multiplication of fractions. (MP)

Four activity sheets are given, presenting two-player games on matching, addition, and multiplication. (MP)

This book explores how primary school children with dyslexia or dyspraxia and difficulty in math can learn math and provides practical support and detailed teaching suggestions. It considers cognitive features that underlie difficulty with mathematics generally or with specific aspects of mathematics. It outlines the ways in which children usually…

The purposes of this paper are to present research related to the development of new instructional games (named Survivor's Games), and measure the effectiveness of these games to help students (K-5) master basic fact operations (single-digit additions or factor and single- or double digit sums or products), stimulate the exploration of…

Suggested activities involving number patterns, using the idea of a number machine." (MM)

The article reviews the development of mathematics error analysis as a means of diagnosing students' cognitive reasoning. Errors specific to addition, subtraction, multiplication, and division are described, and suggestions for remediation are provided. (CL)

Drill activities for addition, subtraction, multiplication, and division that are derived from the history of mathematics are suggested. (MK)

Three experiments examined whether children, like adults, can surpress interference effects when retrieving from long-term memory to solve arithmetic problems. Found that the associations between a number pair and its sum or product are of sufficient strength during the elementary school years to produce interference effects, depending on the age…

Sixty-four adults were tested on simple addition and multiplication problems presented in Arabic digit or English number-word format. Overall, response times and error rates were much higher with the word format, but more important, presentation format interacted with arithmetic operation and problem size. (DR)

This textbook is designed to teach the principles of Arithmetical Science as far as they are involved in the elementary processes, and to secure a reasonable degree of accuracy and rapidity in expressing numbers and computing results. This work presents at first the idea of numbers connected with visual representations of objects; afterward, when…

Presented is a paradigm for teaching basic and semibasic arithmetic facts to children with arithmetic difficulties, in which the student progresses from the use of concrete materials such as blocks, to the use of diagrams such as tally marks, to a reasoning process, to responding in an automatic manner. (DLS)

Provides four pages of practice problems covering the skills of multiplication, addition, and subtraction. Follows the premise that many arithmetic operations be done in working toward a solution. The sheets could be photocopied as worksheets or handouts. (JM)