Explores the hypothesis that students in the fourth, fifth and sixth grade who were exposed to the "fraction ruler" as a manipulative for exploring basic fraction operations would perform more successfully in addition, subtraction and multiplication problems than students taught fraction operations by the traditional method. (Author/RK)

Fraction strips are suggested as good conceptual models to focus on the meaning of fractions. Making the strips, beginning activities, connecting symbols, more concept activities, and working with two fractions are each illustrated. (MNS)

Included in this section are brief articles on an algebraic puzzler, periodic decimal fractions with computers, and the arrow method of teaching logarithms. (MNS)

Discusses the "Every Pupil Response" (EPR) strategy and its use in teaching basic facts, problem-solving, place value, and fractions. Basically, the technique involves children responding simultaneously to a question by holding up a card, using parts of their bodies, or stick figures. Advantages of EPR are noted. (JN)

Division of fractions and division of decimals, both troublesome, are discussed in relation to helping students learn well and retain what they have learned. A strong conceptual base, mastery of related concepts and skills, and meaningful development are stressed. (MNS)

The way that fractions are taught to fourth-grade pupils at the Village Community School in New York City is detailed. The approach is thought to make the often frightening symbols of fractions into something that even beginning students find meaningful. Meaning rather than computational technique is emphasized. (MP)

Research on the conceptual notions of fractions held by students at various levels of schooling is discussed. A method of approach to instructing students on fractions that seems to hold considerable promise is also covered in detail. (MP)

Children's difficulties remembering correct algorithms for operations with fractions are traced to difficulties in the instructional sequence. Many teachers "teach mistakes" by failing to provide sufficient referents for their pupils. (MP)

Activities geared to reinforcing the skills involved in solving linear equations are given. The material is prepared on worksheets designed for duplication. Student use of calculators is suggested, and the material can aid in promoting mental computation and estimation. (MP)

The use of folding paper strips as a mathematical model in the instruction of operations with fractions is presented. (MP)

Practical tips on the teaching of subtraction, addition and subtraction of fractions, and finding the vertex of a parabola are given. (MK)

Describes an action research project aiming to improve student understanding of decimal numbers through an instrument. (YDS)

Approximately half of a group of 12-year-old students were taught fraction and ratio topics by a concrete process-oriented method. The others were taught in the regular way. The concrete, process-oriented approach resulted in significantly improved achievement in, and attitude toward, fractions and ratios. (Author/DC)

The question is raised: What comes first: rules of calculation or the meaning of concepts? The pressures on the teacher to teach and simplify knowledge to algorithms are discussed. The relation between conceptual and procedural knowledge in school mathematics and consequences for the teacher's professional knowledge are considered. (DC)

Research findings on decimals and money are briefly summarized, followed by suggestions for classroom use. (MNS)