Use of compatible numbers resulting in easy mental computations is described, along with related teaching and testing tips. (MNS)

Some benefits of helping learners think in prime numbers are detailed. Reasons for the decay of this ability are described, with short division presented as one activity which should be reintroduced in schools. (MNS)

Provides instructions and worksheets for activities on: (1) sorting sets (grades K-one); (2) telling place values of two-/three-digit numbers (grades two-four); (3) recognizing multiplication/division facts (grades four-six); and (4) computing problems that contain multiples of 10, place value problems, and subtraction problems with many zeros…

Points out aspects of counting books that may impede learning, notes general and specific criteria for evaluating counting books, and offers an annotated bibliography illustrating the application of criteria. (RH)

For six weeks, pupils in grades two, three, and four used either flash cards or a microcomputer program to practice basic subtraction and division facts. Equivalent learning resulted. (MNS)

This report on mathematics education in Soviet elementary schools was prepared by a writer for the Novosti Press Agency in Moscow. It notes that mathematics is taught by subject specialists beginning in grade 4 and provides details on both curriculum and instructional practices. (MNS)

Problems based on shopping experiences are presented on two posters. Children practice estimation and computation with addition and subtraction. (MNS)

What two teachers found when they took a close look at the results of a sentence-solving test given in grades four and five is reported. Error patterns appeared less frequently after instruction but recurred on retention tests. How students can be helped is suggested. (MNS)

Because calculators and computers obviate the need to teach certain mathematical skills that machines handle more efficiently, suggests eliminating paper/pencil computation from classrooms and introducing new, relevant topics and activities. Several of these topics/activities are discussed. (JN)

Four features of teaching aids which endure are identified and discussed, and the nature of the electronic calculator as a teaching aid is analyzed. (DT)

This article provides checklists designed to help educators select an appropriate minicalculator for their individual or groups situation. (DT)

The federal government's student loan programs for higher education convey substantial financial benefits to borrowers because of their broad availability and favorable terms. Of the various provisions included in a federal student loan contract, the option to consolidate individual loans contributes greatly to a borrower's benefits and the cost…

The major idea in this paper is the formulation of a theory of three distinct but interrelated worlds of mathematical thinking each with its own sequence of development of sophistication, and its own sequence of developing warrants for truth, that in total spans the range of growth from the mathematics of new-born babies to the mathematics of…

This paper describes how one group of students developed personally meaningful ways to reason mathematically within the context of measurement. Episodes taken from a first grade classroom in which a 4-month teaching experiment was conducted are presented. One of the goals of the teaching experiment was to develop instructional sequences designed…

For this experiment, part of a larger study on preschoolers' counting competence, 3-, 4-, and 5-year-olds played a counting game with their peers after becoming familiar with the game during structured interviews with an adult. It was expected that the symmetrical nature of peer interaction would allow children to display quantitative knowledge in…