Presents an activity introducing probability and patterns to multigrade students. Uses the storybook "The Thirteen Days of Halloween" to demonstrate numbers, patterns, and probability. (ASK)

Presents an assignment given to students to produce a report on perfect numbers and their properties. Summarizes the history of perfect numbers and their features. Recommends spreadsheet, theoretical, and programming activities on perfect numbers. (ASK)

This article discusses how constructing a typology of number systems is complicated by the existence of associative forms and why this problem arises. Data from Central Pomo and Central Alaskan Yupik demonstrate how this problem can be resolved. (18 references) (Author/CK)

Presents three methods invented by fourth graders for obtaining the arithmetic mean. This presentation is in support of the idea that encouraging children to invent their own mathematical processes is a good way for them to clarify the idea of representativeness and consequently the teacher can facilitate the students' construction of higher…

Ninety-eight participants from 5 age groups with mean ages of 6, 8, 10, 22, and 72 years were tested in a series of speeded number discriminations. Found that response time slope as a function of number size decreased with age for numbers in the 1-4 range. (MDM)

Discusses the historical and cultural background of magic squares. (KHR)

Explored whether a system between written place-value system and base-10 manipulatives helped children understand place-value. Found evidence that the intermediate system helped children differentiate between face values and complete values of digits in multidigit place-value number representations, and to grasp that the sum of the digits'…

Describes kindergarten teachers' discussions revolving around the strong statement about what children know before they enter kindergarten, the focus on the number strand, the importance of communication in mathematics and the unique communication issues pertaining to young children, and the necessity of offering appropriate support for parents of…

Introduces the Fibonacci sequence using examples from nature. Describes some fascinating mathematical patterns using multiples and GCFs that exist among these numbers. (KHR)

Discusses the Tiles and Sides problem from the December 2000 issue. Indicates that this problem is accessible to students at different grade levels. Presents samples of student responses and their teachers' analysis. (KHR)

Investigates and explores questions and activities related to using a calendar. Students explore number sense and operations, logical reasoning, data analysis, probability, and algebra. (Author/NB)

Investigates and explores questions and activities on pets. Students explore number sense and operations, logical reasoning, data analysis, and algebra. (Author/NB)

Discusses a strategy for clarifying students' understanding of decimals, improving their ability to read decimals, and increasing retention of decimal skills. (YP)

Mathematical methods are used to study certain related Logo procedures in detail. Simple procedures with known properties are then used to build the higher-level procedures which correspond to higher-level mathematical concepts. Examples are from introductory aspects of number theory. (MNS)

Why a computer error occurred is considered by analyzing the binary system and decimal fractions. How the computer stores numbers is then described. Knowledge of the mathematics behind computer operation is important if one wishes to understand and have confidence in the results of computer calculations. (MNS)