Developmental patterns and interrelationships of various informal skills, reading and writing of numerals, and a range of base ten/place value concepts/skills were examined in a study involving 78 primary school children from four schools who were individually examined in a standardized interview. A total of 23 tasks were administered and…

After presenting a classroom dialogue typical of a common approach to division problems, the authors use a second dialogue to discuss the "stacking method" of division. (SD)

Recommendations for remediation of 28 distinct common error patterns in arithmetic computation are described. (SD)

On behalf of the Editorial Panel of the "Arithmetic Teacher," the authors outline a concensus concerning the importance of computational skills in the mathematics curriculum. Ten specific points are made concerning the needs of the student, classroom practice, the nature of computational learning, and needed research. (SD)

During a classroom investigation of Goldbach's conjecture a student proposed that every even number is the difference of two primes. A table of values is reproduced here, and the history of this problem is briefly discussed. (SD)

A method of teaching computation of fractions with visual aids is described. (SD)

A series of problems involving number theory, the law of cosines, and geometric interpretations of solutions to equations is discussed. (SD)

A series of puzzle-type activities combining arithmetic reasoning and geometric figures is described and illustrated. (SD)

Three worksheets for use in studying triangular, square, and pentagonal numbers are presented. (SD)

Artistic configurations can be built using a rectangular array of points and number concepts or principles. (SD)

The results of the first report on the mathematical abilities of 13 and 17 year-olds by the National Assessment of Education Progress (NAEP) are summarized and interpreted. A similar article for elementary school mathematics appears in SE 514 769. (SD) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

Investigations which employ a search for a number pattern as an approach to solving a geometry problem are discussed. Four problems are presented, with suggestions for testing simple cases, discussion questions, organizing information, and conclusions to be drawn. (MNS)

An algebra class asked: What is the smallest positive integer that is divisible by each integer less than or equal to ten? Students discovered factorials and a solution. Verifying the solution produced a series of numbers. Successive differences between entries, triangular arrays, and successive quotients finally led to Pascal's triangle. (KM)

This is one in a series of publications designed for parents and teachers to help children acquire developmentally appropriate basic educational skills at home and in school. Topics included are: (1) "What is math?" explaining mathematical concepts such as number, measurement, space, and time; (2) "How do children learn about…

This is one in a series of publications designed for parents and teachers to help children acquire developmentally appropriate basic educational skills at home and in school. Topics included are: (1) "What is science?"; (2) "Why is science important?"; (3) "How children develop science skills?"; (4) "You can help…