The relationship between 18 preparatory teachers' verbal behavior and their students' attainment of number concepts in investigated. The study is based on research of teacher observational systems used to identify "low inference" teacher-variables; this literature is reviewed in this report. The six variables measured by analyzing ten…

The purpose of this project was to determine if the method of subtraction of integers taught to seventh grade students affected their mathematics achievement or retention. Computation, concept, and problem-solving sections of the California Achievement Test were given as pretests and posttests. An investigator-constructed test of the addition and…

Twenty-four nursery school children ranging from 3.11 years to 5.11 years were tested in counting objects that varied in similarity and contiguity. Objects were presented in three arrangements: arrangements composed of subgroups of contiguous identical objects; arrangements without subgroups; and arrangements composed of subgroups of discontiguous…

An outline is presented for the scope and sequence of the following topics to be covered in grades K-8: sets, operations, number theory, measurement, geometry, and number sentences. Details of a coding scheme for mathematics units, exemplary units for each level, and a description of the procedures used to correlate science and mathematics courses…

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…

Five activities involving an array of numbers called an even triangle are given. Properties of the triangle are listed and some generalizations are proven. (MP)

Forty-three preschoolers learned the concept of one-to-one correspondence by matched discovery, expository, or observational learning. The groups did not differ on short-term recall and near transfer, but the discovery group excelled on far transfer and delayed recall. The effect of guided discovery on broader learning outcomes was also discussed.…

A mathematical game that reinforces basic multiplication facts, strengthens concepts of factors and multiples, and also provides arithmetic drill is described. Four variations of the game are also provided. (JT)

Four games and some variations which can be used to practice facts and operations are described. (JT)

The authors describe a series of magic tricks based on computation which they use in elementary and secondary school mathematics classes to motivate and challenge students. (SD)

Investigated was the effect of prior experiences on the acquisition of number conservation by 10 mildly and 10 moderately retarded students (7-16 years old). (CL)

The article recounts a conversation with preschool students about calculators. The author found the children to be familiar with calculators. Also, the Calculator and Mathematics Project, Los Angeles (CAMP-LA), a project which assumes every child has a calculator, is briefly described. (PK)

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)

Computing pi efficiently has been of great interest to mathematicians for centuries. This article presents an algorithm to solve this problem through skillful computer use. (PK)

Describes an exhibition of "mathematically rich" cloths. The themes chosen to be included were symmetry, number, creativity, information handling, and problem solving. The project was an outgrowth of work to take ordinary daily situations and analyze them mathematically. (PK)