Describes a problem that appeared in the April, 1999 issue of this journal and analyzes student responses and misconceptions. The problem concerns exponential progressions. (KHR)

Investigates 2nd and 3rd grade students' estimation of distances traveled during the summer. Uses concepts from measurement, approximation, number sense, and organizing and interpreting information. (KHR)

Presents responses to a problem that appeared in the May 2000 issue. The problem was to determine different ways to divide 8 cookies between 3 people. Includes student work from grades 1, 3, and 5. (KHR)

Discusses mastery goals and developmental levels of students aged 3-7 for learning numbers in informal situations. (KHR)

Presents an historical lesson on the development of numbers and the special characteristics of zero. Includes activity sheets designed to help students focus their attention on the value of numerals including zero, place value, and operation with zero. (KHR)

Several schemes use modular arithmetic to append a check digit to product identification numbers for error detection. Some schemes are discussed, including ones for money orders and library books. Then a foolproof method is presented. (MNS)

Presents a project in which one science class, curious about large numbers, created one million marks on paper. Discusses other concrete representations of one million and other large numbers. (MKR)

Analysis of characteristics of rational numbers in magazines written for children, teenagers, and adults indicated that difficult mathematical concepts that appear in the media are much more prevalent in adults' magazines than in the others. Discusses numeracy demands of everyday life. Appendix contains coding scheme. (34 references) (Author/MKR)

Hypothesizes that various misconceptions held by students with regard to the mathematical set concept may be explained by the initial collection model. Study findings confirm the hypothesis. (Author/ASK)

Details some of the work done in the first three of six days of teaching with a group of 16 young students in July, 1993. Presents the work in the form of verbal exchanges in which the aim is to present students with some challenging questions outside their normal classroom experience. (Author/ASK)

Explains how number work in elementary school can be extended to prepare students for algebra. Suggests some practical strategies that focus on five aspects of number knowledge essential for algebra learning. (ASK)

Features a question that focuses on the use of cryptology to teach modes. (ASK)

Presents a study in which 13 fifth-grade students were given an assignment to invent their own numeration systems following a unit on bases and a look at early events in the history of numbers. Offers an assessment of student understanding of numeration provided by analyses of the patterns embedded in their invented systems. Contains 13…

Focuses on the study of the sum of two integer squares, neither of which is zero square. Develops some new interesting and nonstandard ideas that can be put to use in number theory class, mathematics club meetings, or popular lectures. (ASK)

Examines number naming, magnitude selection, and simple arithmetic performed by adult Chinese-English bilinguals born and educated in China to investigate the effects of surface notation on basic numerical skills. Indicates that retrieval processes in the arithmetic and selection tasks were more efficient with Arabic than Mandarin stimuli.…