The importance of place value is discussed. Examples illustrating place value in addition and subtraction are given. (MK)

The relationship between first grade students' understanding of written mathematical symbolization and readiness to learn was investigated. Results suggest students' readiness influences meaningful learning of the written symbolization of addition and subtraction. (MP)

Analyzed conceptual and linguistic complexities of matching situation word problems. Found a four-level progression in conceptualizing and solving these problems: Relational ("who had more/less" but not "how much more/less"); Language Cue (equalizing or compare language); Understand Matching Situations (difference between two…

Examined patterns of conceptual and procedural knowledge of addition in 5- to 8-year-olds. Found that children were more successful in noticing that addends had been reordered rather than decomposed and in noticing the decomposition of addends presented with objects rather than with symbols. Also found that profiles of procedural competence were…

Investigates children's knowledge of concrete versions of additive composition, commutativity, and associativity. Reports that in study one, four-to five-year-olds (n=24) and five- to six-year-olds (n=25) judged the equivalence of conceptually related addition problems using groups of objects. States that in study two, five- to six-year-olds…

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)

Young children benefit from activities that involve various partitions of numbers, especially the number 10. Presented are two activities that require students partition and recombine numbers to solve problems in a gamelike situations. Examples and worksheets are provided. (MDH)

This book contains a variety of worksheets to teach and reinforce addition skills. Secret codes, magic squares, pyramids, coloring activities, and dot-to-dot challenges are included to motivate students. A two-page test of basic addition facts is provided, with the suggestion that the teacher time the test and give it repeatedly to assess…

Recent research has provided a reasonably coherent picture of how children learn to add and subtract. There is clear evidence that children do not learn simply by mastering a procedure and storing in memory. Instead, learning is structured in meaningful ways, connected to previous knowledge, and adapted to new contexts. This view of learning has…

On the basis of implications drawn from Piagetian theory, an approach to first-grade arithmetic which eliminated instruction and used only two kinds of activities (situations in daily living and group games) was implemented in an experimental context. Situations in daily living and group games, in contrast to "mechanical" worksheet…

This study involved the extensive testing and interviewing of 102 primary grade pupils, representing a sampling from diverse school environments, to study the capabilities and difficulties evidenced by primary-grade pupils in solving open addition and subtraction sentences. Phase 1 of the study identified the specific incorrect procedures commonly…

Solution processes for simple arithmetic word problems are examined in three dimensions: the order of mention, the identity of the unknown, and the type of verb. The influence of mathematical and linguistic factors in these processes are discussed. (BJG)

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…