This article argues that the reason the mathematics performance of students with mild disabilities is so limited is the mathematics. Using illustrations from subtraction, the article proposes number sense be a primary goal and that within the realm of number sense, big ideas be included among the dependent variables. (Contains references.)…

This article discusses three solutions to the "Tower of Hanoi" problem offered by students in a mathematics content course for prospective elementary school teachers. The course uses standards-based pedagogy and teaching via problem solving. Within this work, we consider the growth supported by collaboration at both the students' level…

Computer operations involving complex numbers, essential in such applications as Fourier transforms or image processing, are normally performed in a "divide-and-conquer" approach dealing separately with real and imaginary parts. A number of proposals have treated complex numbers as a single unit but all have foundered on the problem of the…

The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…

This booklet is a collection of puzzles, investigations, and games. They are designed to be used with large objects such as tins or stones and diagrams marked on the ground. The children are to be encouraged to use an experimental, trial-and-error approach at first, and then develop methods of solution. (MNS)

This booklet is a collection of puzzles, games, and investigations. All that children need are some stones or shells, on some of which they must write numerals. For playing with the whole class, the game or puzzles may be marked out on the floor or in sand; in that case, larger objects such as small rocks and empty tins may be used. Children are…

This is a sample of the final test for students in mathematics at the sixth-grade level in Alberta (Canada) schools. The test contains multiple-choice items and is divided into two sections. Section 1 contains 55 items related to numeration, operations and properties, measurement, geometry graphing, and problem solving. Section 2 consists of five…

Children's nonschool learning provides a foundation for school instruction and problem-solving. Examples of nonschool learning are taken from various cultures. This study examines what young children know about written numerals in their everyday environment, how they come to understand the meaning of written numerals, and how they use this…

Presented are abstracts of 14 research reports. Topics covered include: (1) the effects of games on mathematics skills and concepts; (2) the use of problem-solving heuristics in the playing of games involving mathematics; (3) sex differences in electing mathematics; (4) the origins of sex differences in high school mathematics achievement and…

This booklet consists of 11 bulletins designed to answer questions which teachers frequently ask about the learning and teaching of mathematics. (The bulletins are revisions of a set originally published in 1970.) Each bulletin is organized around a central topic, and presents questions related to that topic, summaries of research findings…

This yearbook presents many aspects of mathematics learning by children between the ages of three and eight. Addressed to teachers of primary school children, the book begins with chapters discussing learning and cognition, the primary curriculum, and research on mathematics learning at this age level. Eight subsequent chapters deal with the…

The contemporary mathematics program set forth in this publication developed as a result of experimentation and evaluation in classroom situations. This is Part 2 of "Mathematics: 8th Year." Part 1, a separate bulletin, was published during the school year 1967-68. The materials in this bulletin are intended to serve as guidelines for…

Eighteen research reports related to mathematics education are abstracted and critically analyzed. Seven of the reports deal with general instructional concerns (feedback on homework, error patterns, teacher-student interaction, reading strategies, teacher effectiveness, school attendance, and learning environment), four with topics in mathematics…

Capturing junior high school students' interest in computation is the aim. Three activities are described in which computation acts as a needed tool within a problem-solving context. (MN)

The study investigated children's ability to write number sentences for simple addition and subtraction word problems. The results suggest that open number sentences may provide mathematical symbolism that allows young children to build on informal strategies for presenting and solving simple word problems. (Author/PK)