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

The use of dice and dominoes in the classroom is discussed as leading from counting activities to pattern recognition and discovery learning. (MP)

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)

When shown a pair of digits and asked to select the larger of the two, subjects make their choice more quickly as the numerical difference between the digits increases. Presents and tests a semantic coding model that can explain this and all previous results. (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)

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)