Using various aspects of mathematical structure as unifying concepts is stressed. Specific examples are given based on the concept of equivalent fractions and on the addition property of equality. (LS)

Presented are two self-contained worksheets and teacher guides for open-ended experiences in recording and reading data which require the use of basic addition facts. One is for grades 1-3; the other for grades 4-8. (CT)

Discussed are the results of the second National Assessment of Educational Progress (NAEP) mathematics assessment concerning children's ability to solve verbal problems. The data indicate that the commonly held view that children cannot solve word problems may be an oversimplification. (Author/TG) Aspect of National Assessment (NAEP) dealt with in…

An analysis is presented of pupil responses to several items on the second National Assessment of Educational Progress (NAEP) mathematics survey which focused on the concepts and models of the fundamental operations. (MP) Aspect of National Assessment (NAEP) dealt with in this document: Results (Interpretation).

Another way to add and subtract, in which the mental regrouping strategy is applied to an original 10-structure, is presented. Pupils use a visual model, called "little person," to move from counting to visualization. Originally designed for use with pupils with learning disabilities, this method has wider applicability. (KR)

Five-frames are proposed as manipulative material to increase children's ability to identify the number of objects without direct counting. How to use frames and beansticks to construct basic facts without counting is discussed. (MNS)

Discussed is research which shows, in contrast to the dominant impression given by Piaget's work, that before the onset of schooling the young child possesses several kinds of fundamental "intuitions" concerning numbers. (Author/TG)

Presents a method for demonstrating addition and subtraction of integers on the number line in a way that distinguishes between subtraction and negative numbers. The model depicts the sign of the number by forward or backward movement on the number line. Subtraction is illustrated by a turning around movement. (MDH)

Worksheets are included that use triangular shapes designed to provide practice for addition, subtraction, multiplication, and division of rational numbers. (MP)

Prior studies indicate that, given time to develop their own algorithms, primary students will process multidigit addition or subtraction problems from left to right. Gives evidence to support that idea, describes methods of getting students to invent their own algorithms, and discusses advantages of child-invented procedures. (21 references) (MDH)

Compares the development of two students' understanding of addition and subtraction. One student's understanding is based on memorized rules and the other's on understanding the concept of place value. Discusses the effects of different goals for instruction and the importance of understanding place value. (MDH)

Proposes the use of literature to introduce new mathematical concepts. Presents a story to develop the concept of grouping, and follows with 11 activities related to the story in which students use dramatization and manipulative materials to develop new groupings, predict outcomes, validate their predictions, and discuss findings to develop the…