A computer program that allows students to simulate an experiment in probability is given, with specific suggestions on how to use and study the program. (MNS)

The "positive-negative charge" model is described and demonstrated with all four operations on integers. Its major advantages are that it is both concrete and complete. (MNS)

This investigation concerns the repeated application of the rule "take the sum of the squares of the digits." (MP)

Reports three experiments which examined kindergarteners' ability to conserve number in response to three forms of questioning: nonverbal, standard, and control. There was no indication that a full mastery of conservation could be elicited earlier by the nonverbal procedure. (Author/JMB)

Used a framework-isolating analysis of knowledge and control of processing components to investigate preschoolers' acquisition of cardinality. Found that cardinality emerges gradually in children between ages three and five. Also, tasks that increase the processing burden of a basic counting problem by adding demands for either analysis or control…

Discusses classroom practices that promote the understanding of number concepts in the primary grades. (Author/NB)

The main finding that three- and four-year-old children can make inferences relating numerosity and one-to-one correspondence information implicate more mathematical knowledge than Piaget attributed to young children. Their knowledge does not appear to be as closely tied to counting and other action schemas as other accounts of early numerical…

Explores trapezoidal numbers, which are the result of subtracting two triangular numbers. Includes classroom activities involving trapezoidal numbers to help students develop their problem-solving skills. Includes reproducible student worksheets. (MKR)

The number theory concepts of perfect, deficient, and abundant numbers are subdivided and then utilized to discuss propositions concerning semiperfect, weird, and integer-perfect numbers. Conjectures about relationships among these latter numbers are suggested as avenues for further investigation. (JJK)

Presents examples in which the graphing calculator can provide students with particularly valuable insights into some major statistics ideas such as random numbers. (ASK)

Describes three activities of imaging, including constructing an image, representation-presenting the image, and transforming the image. Discusses a link between imaging and number sense, teaching students to image, and assessing imaging. Contains 25 references. (ASK)

Surveys texts of grades 6 through 9 and makes quantitative and qualitative analyses of the instructional emphasis on selected concatenations in written mathematics. Indicates much curricular emphasis on unsigned (without negative signs) numeral forms and integers as compared to minimal curricular emphasis on signed (with negative signs) fraction,…