Describes the development of American apportionments and investigates the mathematics used to determine apportionment. Provides a worksheet for further exploration. (KHR)

Examines the philosophy behind the issue of computational fluency in "Principles and Standards." (Author)

Describes some interesting features of the book "Sumario Compendioso," first written in North America so that others can use it to enrich their classes and forge links between mathematics and other subjects. (KHR)

Discusses the Tiles and Sides problem from the December 2000 issue. Indicates that this problem is accessible to students at different grade levels. Presents samples of student responses and their teachers' analysis. (KHR)

Describes a multisensory method for teaching the order of operations. (YDS)

Presents an activity investigating what happens when a decimal point is in the wrong position or used at all. (YDS)

Uses concrete models to teach conventional algebraic topics with emphasis on connections to other mathematical concepts such as notion of variable, number properties, and geometry. (Contains 10 references.) (YDS)

Demonstrates how to extend student awareness of a common computational pattern into the realm of algebraic thinking through carefully selected, sequenced activities and guided discussion. (YDS)

The performance on a battery of cognitive tests of an individual with extraordinary ability at mental arithmetic was studied. Implications of the rather ordinary test performance of Shakuntala Devi in contrast with her calculating speed are discussed with reference to memory and information processing. (SLD)

Longitudinal findings on phonological awareness and progress in reading and spelling of 65 children from 4 years, 7 months to 6 years, 7 months strongly supported views that sensitivity to rhyme leads to awareness of phonemes, which in turn affects reading; and rhyme makes a direct contribution to reading that is independent of connection between…

Describes number strips, arrow diagrams, and grids for number operations. Provides diagrams for the activity materials. (YP)

Describes a pattern which emerged from an examination of the digits of the squares of numbers. Provides eight examples having the pattern at the units or tens digit of the number. (YP)

Discusses how to use calculators in the mathematics classroom. Provides some teaching examples. (YP)

Discusses a number series made from the multiplication of numbers to digits. Presents a number series for diverse multiplication numbers. (YP)

Outlines various subtraction methods, such as the decomposition method, equal-addends method, and low-stress algorithm. Describes a subtraction method by addition of complements. Discusses the advantages and disadvantages of the method. (YP)