The hypothesis was tested that students with a field-independent cognitive style would learn most about numeration systems if they had minimum guidance and maximum opportunity for discovery through the use of manipulative materials. Data were gathered on 46 prospective elementary school teachers. The hypothesis was supported. (Author/MH)

A method of identification of pigs used by farmers is described as an application of a base three numeration system. (MP)

The content of the standards focusing on numbers and numeration for grades K-8 are discussed. Several activities for developing number concepts and skills are described. (YP)

Uses ancient Egyptian numeration system in a new setting to extend the concepts of base, place value, and correspondence. Discusses similarities and differences between the Egyptian and decimal systems. Students are asked to propose changes to make the Egyptian system easier. (LDR)

The Calculators in Primary Mathematics Project in Australia was a long-term investigation into the effects of the introduction of calculators on the learning and teaching of primary mathematics. The Australian project commenced with children who were in kindergarten and grade 1 in 1990, moving up through the schools to grade 4 level by 1993.…

This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include real numbers, similar triangles, variation, polyhedrons,…

This is part one of a two-part SMSG mathematics text for sixth-grade students. Chapter topics include: Exponents; Multiplication of Rational Numbers; Side and Angle Relationships of Triangles; Introducing the Integers; and Coordinates. (MK)

LEVEL I-A UNIT AREAS COVER THE MEANING OF "NUMBER," ADDITION, MULTIPLICATION, SUBTRACTION, AND DIVISION. LEVEL I-B COVERS INTRODUCTION TO COMMON FRACTIONS, COMBINING FRACTION, FRACTIONAL PARTS, SEPARATING FRACTIONS, AND APPLICATIONS. EACH UNIT UNDER I-B HAS SUBDIVISIONS, WITH A PARAGRAPH OF TEACHING HINTS AND EXAMPLES. STRESS IS UPON…

In one school, algorithmic development has been infused in the mathematics curriculum. An example of what occurs in mathematics classes since the teachers began using the computer is given, with two students' conjectures included as well as the algebraic justification. (MNS)

Discusses activities using base-10-block skits to teach number system concepts in first grade classrooms. Describes the students' responses to the activities. (YP)

Illustrates the multiple strategies used by second graders to solve a problem with three addends and how their teacher tries to map their thinking into the system of mathematical notation. Describes the American Federation of Teachers' Thinking Mathematics program that the teacher uses. (MKR)

Describes the construction of a children's calendar for use in school, including development of time concepts, devising event-recording systems, daily and weekly schedules of events, multiple-week schedules of events, and a day-date calendar. (MKR)

It is difficult for students to unlearn misconceptions that have been unknowingly reinforced by teachers. The examples "multiplication makes bigger,""pi equals 22/7," and the use of counter examples to demonstrate the numerical property of closure are discussed as potential areas where misconceptions are fostered. (MDH)

Discusses the contributions in each chapter of the book, highlighting the textbook analyses for each arithmetic topic presented. (MDH)

This manual is a dictionary of some 150 errors made by students in their work in mathematics. A precise definition and examples are given for each of these errors and these, combined with a description of common causes of the error, form a background for diagnosis of student problems with arithmetic. Teaching strategies and ideas, each linked to a…