Alternative algorithms, "tricks," and shortcuts are viewed as ideally suited for inclusion in a systematic program of practice because of their motivational effect and the mental stimulation involved in discovering why they work. (MP)

The results of exercises related to fractions on the National Assessment of Educational Progress (NAEP) for 9- and 13-year-olds are reported. This discussion is followed by suggestions on ways to help students be more successful when adding fractions. (MP)

Insight into children's ideas about selected equality sentences is provided through a series of interviews with six- and seven-year-old pupils. The evidence indicates that children consider equality as an operator rather than a relational symbol. (MP)

The author describes the areas in the kindergarten classroom--blocks, toys, cooking, games, job charts--which can be used in furthering a child's developing mathematical skills. (KC)

Record-breaking snowfalls are the starting point of a presentation that delves into many aspects of probability and interesting and unusual aspects of viewing independent, random phenomena. (MP)

A mathematical game is described that reinforces arithmetic concepts while children practice determining equivalent representations for various denominations of money. (MP)

Specific strategies and examples for teaching mathematical computation skills are presented as samples of ways to teach starting with the concrete and ending with the abstract. (JMF)

The article describes the process of teaching abacus to moderately retarded blind students as a means of developing concepts of numbers, addition and subtraction, and money values. (Author)

Examines bar models as graphical representations of rational numbers and presents related real life problems. Concludes that, through pairing the fraction bars with ratio tables and other ways of teaching numbers, numeric strategies become connected with visual strategies that allow students with diverse ways of thinking to share their…

Contains 10 miscellaneous mathematics questions and their answers that teachers can use in their lessons. Topics include estimation, prime numbers, line equations, and investment strategies. (ASK)

Focuses on the major cues processed in Hungarian in order to distinguish subjects and objects in transitive clauses: subject-verb and object-verb agreement-marking; case-marking; animacy; and word order. The research reveals that double agreement-marking in Hungarian exists even in week agreement situations, a testimony to the diachronic tenacity…

Presents five articles addressing numbers and math instruction for young children: "Math Talk with Young Children: One Parent's Experience" (Fred E. Gross); "How Children Build Their Understanding of Numbers" (David Elkind); "Early Math: It's More than Numbers" (Ann S. Epstein); "Assessing Mathematical Learning: Observing and Listening to…

Explores how to know when children think mathematically, how to establish a setting that elicits mathematical thinking, and what to learn about children as a result. Fourth grade students think and talk mathematically while tackling a real-life PACKETS program. Addresses content standards involving proportional reasoning as well as the process…

Investigates the development of understanding of multiplication from the early school years through to the top primary age group. Identifies the children's difficulties and analyzes their solution strategies. Reports that progressive abstraction is related to the children's developing understanding of number and to their procedures for addition.…

Identifies four causes of confusion in reading mathematics related to numbers, symbols and sentences, vocabulary, and directionality. Discusses techniques for overcoming each type of the confusion. (YP)