Provides data incongruent with Piaget's idea of a concrete operational stage. Shows no clear-cut termination of preconceptual thinking and no simultaneous conceptual development in the three content areas (number, space, and time). (Author/RL)

The importance of place value is discussed. Examples illustrating place value in addition and subtraction are given. (MK)

An activity is described in which PI is approximated by measuring the perimeters of regular polygons inscribed in a unit circle. (DT)

In the experiment reported here, dyslexic children are compared with controls in their processing of single digits. The rationale for the present study relates to a concern to identify if there are specifically unique aspects of how dyslexic children process visual information. (Author)

Determining which whole numbers can be expressed as the difference of two squares and which as the sum of two squares forms the basis of two discovery exercises. (DT)

Presents two activities involving number sense in and around the shopping mall. Activities include estimation, measurement, and applications using percent. Concludes that it is appropriate to help students visualize numbers, particularly large numbers, in a context that is familiar and will be constantly reinforced. (ASK)

Comparison of elementary grade students with (N=42) or without (N=42) learning disabilities (LD) on their logical-mathematical structures of thought found that, though both groups generated grouping relationships, children with LD tendered to generate solutions showing less coordinated structures of thought. For both groups, scores on the…

Suggests guided discovery techniques to help students find the rule by which an arrival sequence of consecutively numbered school buses is considered a "success," and presents arguments by Honsberger for a formula to calculate the number of successful patterns for a given number of buses. (SEW)

Elementary number theory is investigated with the main focus on the concept of divisibility and its relation to division, multiplication, prime and composite numbers, factorization, divisibility rules, and prime decomposition. Preservice teachers' responses indicated dispositions toward procedural attachments even when conceptual understanding was…

Reports on pre-service primary teacher education students' involvement in a number sense program that was a component of a mathematics education unit. Suggests that students develop and utilize multiple relationships among number, attempt to make sense of the mathematics investigated, and provide considered explanations for results achieved.…

Discusses a problem that appeared in the September, 1999 issue of this journal and presents solutions from students in grades 2-6. The question involved using colored cubes rearranged to make different stacked towers. (KHR)

Presents a classroom activity in which students build and learn to use their own abacuses. Describes the lesson that combines mathematics, art, and social studies. (KHR)

Examines methods and types of estimation. Characterizes fruitful in-class estimation tasks by exploring the validity and possible extensions of "marble jar" estimation. (KHR)

The article suggests that Belcastro rods, which retain the basic properties of Cuisenaire rods but allow instant identification by touch, may be useful in teaching mathematical concepts to blind children. Drawings illustrate use of the rods in teaching such concepts as addition and subtraction. (Author/DB)

The importance of establishing a problem-solving atmosphere is stressed. Children asking "why" are on their way to strengthening their number sense. Curiosity should be promoted, encouraging children to test their own hypotheses and pursue their own predictions. An example with an eight-year-old girl is given to illustrate these points.…