Sorting activities for multiplication and division facts are suggested for developing concepts of prime factors. (MP)

Students were encouraged to explore the concept of one million. A short pretest revealed many pupils could not easily comprehend a million. Research and practical investigations began to find "a million things." All students were reported to come through these experiences with a much better understanding. (MP)

Describes four activities designed to discover numerical patterns using a calculator or paper and pencil. Provides tables and figures for the activities. (YP)

Presents a lesson to compute differences of positive and negative numbers using historical events of science. Describes the skills, concepts, objectives, rationale, outline, procedure, evaluation, and extensions of the lesson. Provides a list of events in the history of science. (YP)

Presents two practice-discovery activities to furnish computational review in a nonroutine setting. Provides a worksheet for the activities. (YP)

A number for which the number of digits categorizes the number is called a star number. A set of star numbers having a designated property is called a constellation. Discusses nature and cardinality of constellations made up of star square, star prime, star abundant, and star deficient numbers. Presents five related problems for exploration. (MDH)

Suggests that there is sufficient interest in the changing arrangements of stars in the flag of the United States over the years to introduce a mathematical investigation into the various possible patterns of stars. (Author/JJK)

Negative numbers extend our number line and greatly simplify our calculations, but sometimes students struggle with the concepts. These fun activities will help kids to make sense of the "other half" of our number system.

Translating numerals into number words is a tacit task requiring linguistic and mathematical knowledge. This project expanded on previous number production models by examining developmental differences in children's number naming errors. Ninety-six children from grades one, three, five, and seven translated a random set of numerals into number…

BIT BY BIT is an encryption game that is designed to improve students' understanding of natural language processing in computers. Participants encode clear words into binary code using an encryption key and exchange them in the game. BIT BY BIT enables participants who do not understand the concept of binary numbers to perform the process of…

The numerical knowledge of children from low-income backgrounds trails behind that of peers from middle-income backgrounds even before the children enter school. This gap may reflect differing prior experience with informal numerical activities, such as numerical board games. Experiment 1 indicated that the numerical magnitude knowledge of…

The cost of incongruent stimuli is reduced when conflict is expected. This series of experiments tested whether this improved performance is due to repetition priming or to enhanced cognitive control. Using a paradigm in which Word and Number Stroop alternated every trial, Experiment 1 assessed dynamic trial-to-trial changes. Incongruent trials…

In order to investigate the performance of number sense and its relationships with mathematics achievement of Taiwanese students who had just completed the 5th-grade mathematics curriculum, a computerized number sense scale has been developed. This number sense scale includes four factors which are recognizing relative number size, using multiple…

An activity which involves the drawing of geometric designs on familiar number arrangements (such as the addition and multiplication tables and the hundred chart) is used to help students discover patterns and at the same time maintain computation skills. (DT)