The possible effect of experimenter expectancy in number conservation task experiments was explored. (JMB)

The inclusion of group activities based on theories of cognitive development within day care settings is urged. Several examples of classroom-tested activities are included. (ED)

The arithmetic portion of the Developing Mathematical Processes (DMP) program, as it applies to children of ages 5 to 8, is described in some detail. The terminal objective of the number program of the primary segment of DMP is the ability of the child to correctly write, read and validate mathematical sentences of the form A = B plus or minus X.…

The purpose of the study was to examine the informal and more formal mathematical notions of children of ages four to six, and to evaluate the interaction between these two sets of notions. Two groups of problems were given to 60 children. The first included 14 Quantity Tasks in the form of stories which were illustrated by manipulable items. The…

Examines current research on brain development, focusing on infants' ability to understand basic numerical concepts and arithmetic operations. Asserts that as the brain undergoes dramatic transformations, it already has a built-in capacity to understand basic numerical concepts. Recommends that parents and professionals engage in activities…

The author describes a Piaget based curriculum involving three main themes (classification, number measurement/space, and seriation) for young mentally retarded children. Students solve problems by doing something physically and mentally to the data, shuffling the facts about in their minds, so that they will come to a logical solution. Language…

In this paper the author reviews and synthesizes the research literature concerning the developmental relationships between conservation of number and linguistic capability in handling of quantitative and relational terms. Several models for the development of these competencies are discussed. On the basis of this review the author concludes that…

Explores the mathematical abilities of human infants compared with various species of animals. Studies indicate that human infants enter the world capable of doing simple mathematical operations. Nonhuman animals can discriminate among sets of objects based on the number of items in each set. Further studies may pinpoint the age at which children…

Delay of gratification and temporal span were investigated in 58 girls, ages 4 to 9 years, by estimated story durations, delay of gratification in a direct choice money test, and reproduction of a 60-second interval. (BD)

Forty-five children aged four-and-a-half to five-and-a-half years old were given number conservation tasks in three conditions: (1) a count condition in which children were helped to count each set after the transformation; (2) a match condition in which children were helped to connect by a string each animal with its peanut; and (3) the standard…

Twenty-four nursery school children ranging from 3.11 years to 5.11 years were tested in counting objects that varied in similarity and contiguity. Objects were presented in three arrangements: arrangements composed of subgroups of contiguous identical objects; arrangements without subgroups; and arrangements composed of subgroups of discontiguous…

Three experiments explored the developmental relationship between counting and number conservation in children from three to six years old. Results indicated that there was a close relationship between the two; that only the oldest children gave evidence of conserving; and that, in general, there is evidence of protracted development in young…

Number sense is easy to recognize but difficult to define and hence, to teach. In this article, number sense is defined in terms of the knowledge known to underline it, as identified in cognitive developmental theory and research. A preK-2 mathematics program, called Number Worlds, that was specifically developed to teach this knowledge is…

The pamphlet examines the kinds of play that are useful in developing the basis for later abstract thinking--specifically the development of mathematical concepts. The mathematical concepts included are numbers, conservation, one-to-one correspondence, counting and sequencing, ordering, sorting and classification, sorting and sets, and equivalence…

Argues that, though considerable difference of view is evident between Montessori and Piaget about the importance of certain concepts and level of cognitive development necessary for genuine understanding, the ideas and methods first presented by Montessori 80 years ago stand up well when evaluated through the lens of current research. (PK)