Devises a new curriculum to introduce rational numbers by using developmental theory as a guide. Experiment concluded that students in the treatment group showed a deeper understanding of rational numbers than those in the control group, showed less reliance on whole-number strategies when solving novel problems, and made more frequent references…

Examines the incremental validity of Differential Ability Scales (DAS) factor scores in predicting standardized achievement scores in Word Reading, Basic Number Skills, and Spelling by using a nationally representative sample stratified on gender, ethnicity, geographic region, parental education, and educational classification. Results show that…

Presents building-up strategies and activities for preservice teachers to help students move from using informal strategies to expressing proportional relationships in algebraic terms. (ASK)

Describes four 50-minute lessons in which complex numbers are introduced to year-12 calculus students using hand-held calculators and laptop computers. (ASK)

Demonstrates examples, one of which is an extension of "guess and check," to include variables rather than numbers. The quadratic equation az2+bz+c=0, is solved by assuming a complex solution of the form z=x+iy. Explores the use of deMoivre's theorem in deriving trigonometric identities with other examples. (Author/ASK)

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…

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…

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…

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)

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.)