Reports selected findings from a study of number-sense proficiency in students aged 8 to 14 years in Australia, Sweden, the United States, and Taiwan. Comments on the meaning and importance of number sense, the development of the assessment instruments, and student responses to the items. Discusses some implications for classrooms. Contains 39…

Explores the possibility that particular properties of how number words are used within sentences inform children of the semantic class to which they belong. Analysis of transcripts of the spontaneous speech of three children and their parents suggests that the relevant cues are available as input in parents' speech to children and that children…

Presents an activity using fractal cards--eye-catching pop-up cards--by applying simple iterative processes to single sheets of paper. This activity incorporates the concepts of measurement, number systems, sequences, series, limits, recursion, iteration, self-similarity, and fractional dimensions. Contains 12 references. (ASK)

Two experiments examined the development of children's understanding of part-whole relations. Found that five- and six-year olds evidenced understanding of part-whole relations, but four-year olds did not. Results support the conclusion that an understanding of the relationship between a superordinate set and the basic-level sets that comprise it…

Twenty-seven children (ages 7-10) with learning disabilities and 42 controls were tested on three different mathematics tasks. Significantly more controls abstracted composite unit structures suggestive of operational logic on modified nonverbal and associativity of length tasks. On a flash card task, children with learning disabilities achieved…

Examined the effects of using structurally organized tile patterns or diverse objects in various patterns to represent numbers on kindergartners' learning of number concepts. Found that at the level of numerical operations, structured materials facilitate children's choice of non- finger strategies and speed up response time for finger-strategy…

Investigates validity of scores derived from the measurement procedure involving number lines by assessing its unique contributions to performance differences in criterion measures of rational number knowledge and skills, including fraction computation, application, and explanation. States that 205 fifth-grade and 208 sixth-grade students…

Two experiments examined development of the ordinality concept in infants. Found that 11-month-olds successfully discriminated, whereas 9-month-olds failed to discriminate sequences that descended in numerical value from sequences increasing in numerical value. Nine-month-olds could discriminate the ordinal direction of sequences that varied in…

A study sought to ascertain the "official" conception of numeracy in Scotland as published in Her Majesty's Inspectorate (HMI) audit reports. 300 HMI reports on 300 primary schools were examined for references to computational proficiency and understanding of number. Segments signifying proficiency were significantly more numerous than…

In the current study, a constant time delay (CTD) procedure was embedded in classroom activities and routines to teach counting to three preschool children with speech and language delays. CTD was effective in teaching numbers to all three children. One child out of two also was able to acquire non-target information. (Contains references.) (CR)

Introduces the whole number machine and describes its use as an odometer in an addition game. Presents an activity in which students learn mathematics while they fly across the globe. (Contains 12 references.) (ASK)

Describes a sixth-grade interdisciplinary geometry unit based on Charles Dickens's "A Christmas Carol". Focuses on finding area, volume, and perimeter, and working with estimation, decimals, and fractions in the context of making gingerbread houses. (ASK)

The NCTM curriculum states that students should be able to "compare and contrast the real number system and its various subsystems with regard to their structural characteristics." In evaluating overall conformity to the 1989 standard, the National Council of Teachers of Mathematics (NCTM) requires that "teachers must value and encourage the use…

This study examined the effect of language on children's cognitive representation of number. The sample for the study consisted of 90 Arabic speaking children with a mean age of 80 months. Children were interviewed individually and asked to represent written two-digit numbers using base-10 blocks. A new approach for testing the linguistic…

This article describes the lessons introduced to middle school children in the Washington, D.C., area on the stock market. Students kept eight weeks of records and learned about decimals and place value. (Contains 5 figures.)