Provides methods of teaching negative number operations, including addition, subtraction, and multiplication. Presents examples and activities for the operations. (YP)

Describes several phenomena in which interesting properties of numbers are demonstrated. Includes discussions of amicable, perfect, and sociable numbers. Presents computer programs for conducting a number chain search. (RT)

A study comparing 65 deaf and hearing Australian children, aged 7-13, found that deaf subjects were delayed in number and liquid conservation, but equally mature in justice reasoning. Deaf subjects were less likely to disagree with a reward allocation proposed by an adult and to make cognitive progress when encountering conflict. (Author/JDD)

A visual model of fractions, the tower of bars, is used to discover patterns. Examples include equalities, inequalities, sums of unit fractions, sums of differences, symmetry, and differences and products. Infinite sequences of numbers, infinite series, and concepts of limits can be introduced. (DC)

The focus is on using the hundred chart to discover patterns, make predictions and generalizations, and visualize the number system in an organized manner. Four worksheets are on even-odd numbers (Levels 1-2), digits (Levels 3-5 and 5-6), and percentages (Levels 7-8). (MNS)

Presents the use of manipulatives in the three stages of concept learning called concrete, bridging, and symbolic. Examines the three stages in developing the concept of rounding two-digit numbers. (MDH)

Tests of computational estimation ability (CEA), strategy (CES), and mental computation ability (MCA) of (n=124) fourth, (n=143) fifth, and (n=84) sixth graders found significant relationships between CEA and MCA and between CEA and CES but not between MCA and CES. (12 references) (Author/MKR)

Investigated children's preferred learning styles when exploring spatial concepts. Found that young children first develop the spatial concept of topology, which supports Piaget's theory, followed by the concepts of position. The two separate groups of children appeared to exhibit different learning styles when exploring space concepts. (AP)

The concept of fractional number was studied with 10- to 12-year-old and 13- to 16-year-old students who were deaf and hard of hearing (n=21) and comparison groups of hearing students (n=26). The deaf and hard-of-hearing students achieved similarly to younger hearing students in overall performance by fraction type and problem solving strategies.…

Describes the Quipu, a mathematical device invented by the Incas of Peru that used the base-10 number system to store information. Suggests ways of incorporating material on the quipu into the arithmetic class. (MDH)

Discusses how students at the end of the French primary school-cycle (10- to 11-year-old pupils) resolve multiplication and related division problems within an assessment perspective taking into account the 3 factors of the problem's representational structure, the numerical values used, and the context of the problem statement. (25 references)…

A 7-month longitudinal study of 20 2- and 3-year-old children shows that children at an early age already know that counting words each refer to a distinct numerosity, although they do not know to which numerosity. It takes children a long time to learn the latter. (SLD)

Discusses opportunities to use nursery rhymes to aid in the mathematical development of young children. Considers rhymes that involve patterns, ordering, and problem solving. (MKR)

Stresses recognition and application of the identity property of 1 across the mathematics curriculum to help students overcome difficulties. (MKR)

Explores algebraic thinking as children search for patterns while collecting, organizing, and graphing data and as they derive equations describing relationships found in the data. (ASK)