In response to an earlier article advocating the elimination of fractions from the curriculum, the author argues for their retention. He points out examples of their use in music and physic, and discusses methods of presenting operations on fractions. (SD)

Discusses the relationship between geometrical and numerical concepts in the mathematical development of young children. Based upon a longitudinal field study of 224 children, findings suggest that memorization ability facilitates understanding of numerical concepts but that subsequent mathematical development is restricted until basic geometry is…

Evidence on learning problems due to dyscalculia is surveyed. Definitions, factors responsible for dyscalculia, split-brain research and hemispheric roles, mathematics learning problems and personality, materials for instruction, and levels of knowing mathematics are among the topics discussed with an extensive list of references. (MNS)

Ways to combine the strengths of teacher and computer are suggested. Multiplication concepts and an algorithm for multiplication are taught in the same lessons. The computer is used as an electronic chalkboard to teach at a semiconcrete level. The computer program is included. (MNS)

What are often missing for children in classroom instruction are experiences with numbers that stretch beyond computation skills and word problems. This lesson models such an experience for third graders. Students use small boxes of raisins in several problem-solving activities. Children apply whole number operations, estimate, consider…

Mathematics is considered a performing art. Examples illustrating this view are presented. Activities discussed are from the Madison Project materials and the mathematics program at University High School in Urbana, Illinois. Activities stress inventing strategies for attacking problems for elementary and secondary school mathematics. (RH)

Described is a procedure for teaching children to learn to count on with finger patterns after they have learned to count with objects. The technique has been found to be successful with children of all ability levels at grades one and two. (RH)

Presented are several suggestions for teaching elementary school mathematics with technology. Activities use calculators and microcomputers for teaching multiples. (RH)

Describes a research project designed to monitor the transition from work based on concrete materials to the more formalized aspect of mathematics found in secondary schools. The topic of subtraction was chosen by three teachers who were involved in the investigation. (PK)

Cryptarithm puzzles are explained and discussed. Examples are provided and reproducible student worksheets are included. (PK)

A mental multiplication test, containing items written in Dutch, Spanish, and Roman numerals was administered to 286 Dutch students. Further instruction was given in either Spanish or Roman, and a subtest combining languages was given. The iterative logit method was found to be useful in detecting biased test items. (GDC)

What makes a fraction meaningful and a definition of the quantitative notion of fractions are discussed. Then observations from teaching experiments are presented. (MNS)

Helping students solve logic problems using properties of whole numbers in levels 1-6 and properties of positive and negative rational numbers in levels 7-8 is presented. Four worksheets and teaching suggestions are included. (MNS)

A modern adaptation of the historic lattice algorithm which can be used for multiplication and division is discussed. How it works is clearly illustrated. (MNS)

Numerical inaccuracies, which occur in many ordinary computations, can create serious problems and render answers meaningless. Cancellation and accumulation errors are described, and suggestions for experimentation are discussed. (MNS)