A mathematics teacher who avoided students' questions about zero, notes that children are able to interpret this concept and any system of numeration in a language that they have made up and can understand. (AM)

Some benefits of helping learners think in prime numbers are detailed. Reasons for the decay of this ability are described, with short division presented as one activity which should be reintroduced in schools. (MNS)

The mechanisms, images, and language needed for the development of rational-number ideas are briefly discussed. Such ideas are sophisticated and different from natural-numbers ideas. (MNS)

Activities are described which make use of rectangular arrays as a means of illustrating multiplication facts and the distributive property. (DT)

Measurement of distance was used as a basis for teaching first-graders the relation of unit to quantity and the ordinal and transitive nature of natural numbers. These children performed much better on measurement evaluations and almost as well on set theory evaluations as comparison children taught through set theory. (DT)

The goal was to help 7- and 8-year olds develop computational skills in addition and subtraction. Experimental groups received instruction emphasizing mathematical structure while control groups worked on drill activities. Results showed that emphasizing structure facilitated the development of number concepts, place value, and computational…

Thirty-five students from all ability levels in the first and second year of secondary school were interviewed to determine their understanding of appropriate application of number operations. Results of the interviews are classified into five different levels of understanding. (DT)

The rules for seven different games with playing cards are given. Educational uses are discussed briefly for each of the games. (DT)

Shortcuts for multiplying by eleven are presented and explained. (DT)

Whole numbers written in spiral or triangular patterns with spaces occupied by prime numbers blocked in produces interesting visual patterns. Described is a game based on these patterns that may be played at many different levels. (JP)

Presented is an example of how a child adopted an incorrect method for solution to arithmetic sentences. Methods for detecting and correcting this behavior are discussed. (JP)

Palindromic numbers (numerals that read the same backwards and forwards) are investigated. Examples show how palindromic sums can be obtained and a further analysis of these sums is made. (DT)

Several examples of concrete applications of negative numbers are given. (MM)