Fractions are highly important. Therefore, it is crucial to understand the developmental trajectory of fraction knowledge and its main predictors and consequences. Our research team has proposed that we have a neurocognitive architecture dedicated to processing nonsymbolic ratios, which serves as a startup tool for fractions: the Ratio Processing…

The purpose of the present study was to explore the 3rd-grade cognitive predictors of 5th-grade computational skill with rational numbers and how those are similar to and different from the cognitive predictors of whole-number computational skill. Students (n=688) were assessed on incoming whole-number calculation skill, language, nonverbal…

This study is part of a longitudinal research project which investigated the cognitive and social development of rural children (ages 3-5, 6-8, and 9-11 years) in eight states of the U.S.A. This paper, however, reports only the cognitive development of 3- to 5-year-old subjects in rural Nebraska from 1976-1978. The longitudinal sample plus control…

Kindergarten and third grade children originally assessed in 1973 were retested one year later on a series of conservation and transitive inference tasks (length and weight content areas). An additional sample of matched cohort/grade subjects was assessed in the second year only to permit evaluation of repeat measurement biases for the…

TWO STUDIES DEAL WITH THE THOUGHT PROCESSES CHILDREN DISPLAY WHEN FACED WITH PROBLEMS INVOLVING THE CONCEPTS OF QUANTITY AND NUMBER. INVOLVING CHILDREN IN KINDERGARTEN, FIRST GRADE AND SECOND GRADE, THE STUDIES USE PIAGET'S THEORIES IN BOTH A CROSS-SECTIONAL AND A LONGITUDINAL APPROACH TO STUDY CHILDREN'S THINKING IN AN EDUCATIONAL SETTING. TO…

A teaching experiment with six third graders to analyze their ways of operating while solving fraction tasks. Children's quantitative reasoning with fractions was based on their quantitative reasoning with natural numbers. Presents the constructive itinerary of one of the most advanced children in the group. (Contains 44 references.) (Author/MDH)

This report is the initial overall summary of a comprehensive analysis of children's logical concept attainments and memoric abilities and deals exclusively with the initial and second year's assessment data. The focal point for this normative investigation is the concrete operations period spanning the years of middle childhood. The measurement…

A four-year longitudinal study of concept attainment and uses of concepts, as specified by the Conceptual Learning and Development Model, is described. Data collected during the first two years were based upon the assessment of the concept, equilateral triangle. The assessment battery was administered to 351 children (grades K, 3, 6, and 9) in…

This 4-year longitudinal study of logical reasoning found complex interrelationships among different cognitive processes of children ages 6 to 15. Piaget's stage theory is discussed in the introduction, with a focus on the concrete operational stage in middle childhood. In the study, a representative array of logical concept tasks and short-term…

The hypothesis that the acquisition order of relational words directly reflects the complexity of these words in formal linguistic analysis was tested for the singular, non-neuter person pronouns of English. Data on the development of comprehension of these pronouns gathered in two conversational situations, child as person addressed and child as…

Project META (Metacognitive Enhancing Teaching Activities) is a 3-year naturalistic case study designed to explicitly enhance the metacognitive capabilities of learners in order to illuminate the nature of metacognitive interactions among elementary students and to describe the impact this type of enhancement has on the formation of students'…

A longitudinal study followed Brian from grade five through grade seven to examine his representation and development of mathematical knowledge. Some observations over the four years were that Brian liked to figure things out, responded poorly to suggestions not fitting the representation he constructed, and changed attitudes from purposeful and…

For this study, the second in the cross sectional series, based on the Conceptual Learning and Development (CLD) model, assessment batteries were developed to determine each child's level of attainment and related use of the concepts "equilateral triangle,""cutting tool,""noun," and "tree." Batteries were…

For this study, the second in the cross sectional series, based on the Conceptual Learning and Development (CLD) model, assessment batteries were developed to determine each child's level of concept attainment and also the related use of the concepts "equilateral triangle,""cutting tool,""noun," and "tree."…