Written for teachers of "liberal arts physics," this article about logarithms outlines a way to review arithmetic skills in manipulating powers, discusses the attitude of physicists toward numbers, and gives an introduction to estimation. (MK)

A method is presented for determining cube roots on a calculator with square root facility that has a rapid rate of convergence. (MP)

Tree diagrams with numbers in a given pattern generate questions related to pattern recognition and number concepts such as binary numbers and exponentials. (MP)

Some patterns resulting from certain operations on numbers are discussed, analyzed, and explained. A method for predicting the outcome of these operations for any number is developed.

Graphing activities appropriate for grade levels K-8 are outlined and worksheets given. Topics involved include classifying, bar graphs, remainders from a series of divisions, and the greatest common factor of two numbers. (MP)

Methods of incorporating the history of mathematics into secondary school mathematics lessons are discussed. (DT)

A week-by-week readiness program for preschool and early primary children. (Editor)

This study examined problem solving and number-fact skills in two subgroups of third graders, those (n=12) with difficulties only in mathematics (MD-specific) and those (n=12) with difficulties in both reading and mathematics (MD-general). On both story and number-fact problems, the MD-general group performed worse than nonimpaired students,…

Explores the meaning of honest numbers and their relationship to arbitrarily chosen nonnegative integers. Promotes the pursuit of honest numbers in various languages. Argues that honest numbers afford a rich context in which students can capitalize on their familiarity with languages, and information about diverse cultures can be shared among…

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)

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…

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

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…