The study compared the understanding of one-to-one, stable order, and cardinal principles of 15 children with Down syndrome and 15 preschoolers with similar language skills. No significant differences were found suggesting that developmental level rather than syndrome is associated with counting behavior. (Author/DB)

Investigates the question of how a set of examples for adding natural numbers can be extended in a unique manner ad infinitum using the framework of a neural network model. Discusses Wittgenstein's remarks on the foundations of mathematics. (Contains 11 references.) (MDH)

Presents an activity in which students try to find the least common multiple (LCM) for two numbers using calculators. (ASK)

Focuses on subitizing, the ability to recognize small numbers of objects. Discusses when and how it develops and whether it should be taught. Contains 31 references. (ASK)

Shares some explorations of Fibonacci sequences with a special focus on problem-solving and posing processes. (ASK)

Describes a game in which students strengthen their number sense by using mental mathematics to find and check factors and multiples of numbers up to 100. (ASK)

Describes a study in which 383 children in grades 1 through 5 were individually interviewed to find out at what point they construct unit iteration out of transitive reasoning. Indicates that most children construct unit iteration out of transitive reasoning by fourth grade. Suggests a better approach to the teaching of measurement that presents…

Describes a cooperative effort using telecommunications. Utilizes a potential e-mail dialog between the authors and a secondary mathematics teacher from a rural Kansas community who had heard about the interclass Hexiety project, which allows students to develop a context for their mathematical knowledge, to present ideas about the project. (ASK)

Presents activities to cultivate the tendency to see special qualities in numbers that can be played on certain calendar days. Includes games on the constant of the day, Fibonacci and golden ratio dates, primes, powers, December 25, and the day of the year. (ASK)

Investigates whether new teaching resources and minimal support could help teachers make a difference to children's understanding of decimal numeration. Indicates that teachers who used the resources achieved an educationally and statistically significant improvement in decimal understanding. (Contains 19 references.) (Author/ASK)

Analyzes a didactical sequence for the teaching of addition and subtraction procedures and algorithms. Uses didactical procedures by children in problem solving activities in order to gain a better understanding of the interaction between numbers, numeration, and operations knowledge which are involved in the construction of addition and…

Attaining computational fluency is an essential part of students' elementary mathematics education. Offers ways of connecting and balancing understanding and procedures and teaching and assessing computational fluency. (Contains 12 references.) (ASK)

Discusses the use of MAPLE, a computer algebra system, to find Chinese pseudoprimes. (MKR)

Presents a study that examined the differences between mathematically disabled children and mathematically normal children in a cross-sectional perspective. Concludes that mathematically disabled children need mathematics instruction to move from a focus on computation to strategy-learning activities. Contains 44 references. (Author/ASK)

Presents an activity on number concepts using a calculator. Suggests that by using a calculator, students can search for patterns and identify them more quickly. This activity helps students make mathematical connections about divisibility rules, carry out investigations, make sense of what happened, and continue their investigation by creating…