Recently, there has been an increasing level of interest in reporting subscores. This paper examines the issue of reporting subscores at an aggregate level, especially at the level of institutions that the examinees belong to. A series of statistical analyses is suggested to determine when subscores at the institutional level have any added value…

This booklet provides worksheets for children in preschool through grade one. The focus is on developing number concepts, with activities on matching numbers with pictures and on completing sequences, addition and subtraction facts, measurement ideas, fraction ideas, and identifying shapes. (MNS)

An experimental test battery (the Johnson O'Connor Research Foundation battery) designed to measure numerical facility was administered to 1,451 subjects at 12 testing centers across the United States over a 5-month period. Five work samples were included: (1) arithmetic; (2) counting backwards; (3) number reasoning; (4) rule learning; and (5)…

Arguing that the seller of creative works--including audio and video productions and computer software--will be affected by the ability of consumers to make high quality copies of these works, this paper examines the theoretical effects of copying on the sellers of originals and speculates about ways to estimate these effects empirically. The…

Children learn arithmetic procedures by rote, rather than by constructing them with an understanding of numbers. Rote learning produces lack of flexibility, nonsensical errors, and other difficulties. Proposed is a theory of conceptual understanding and its role in learning and executing arithmetic procedures. The basic hypothesis is that…

Described in the context of a computer simulation are highlights of a program of research focusing on the storage of mathematics problem solving information in young children's memory and the development of such knowledge structures in older children. Specifically discussed are the problem size effect, the network nature of the memory…

Introductory statistics texts give extensive coverage to two-sided inferences in hypothesis testing, interval estimation, and one-sided hypothesis tests. Very few discuss the possibility of one-sided interval estimation at all. Even fewer do so in any detail. Two of the business statistics texts we reviewed mentioned the possibility of dividing…

Seven activities are presented in this student workbook designed for an exploration of small business ownership and the use of the calculator in this career. Included are simulated situations in which students must use a calculator to compute property taxes; estimate payroll taxes and franchise taxes; compute pricing, approximate salaries,…

The calculator is used to explore the distributive property of a unary operator over a binary operator. This is an extension of an earlier paper. The emphasis is on student discovery of the property for various combinations of the operators. Instructional material contained in the report include a reference sheet of questions for potential…

To assist the College Board Calculus Development Committee in arriving at a decision regarding the policy that should be followed in allowing the use of calculators on the Advanced Placement (AP) examinations after 1980, a questionnaire was developed. It obtains information from secondary school mathematics teachers about the extent to which…

Stochastic approximation algorithms for least square error approximation to density and distribution functions are considered. The main results are necessary and sufficient parameter conditions for the convergence of the approximation processes and a generalization to some time-dependent density and distribution functions. (Author)

A case is made for a comprehensive curriculum that includes strong competencies with not only number ideas and computation, but also with other mathematical topics such as geometry, statistics, probability, and estimation. (MP)

This method of teaching the division of fractions emphasizes the use of concrete materials and helps students understand what division of fractions means. (MP)

A method for finding any integral root of a number using a four-function calculator is given, along with a justification of the method and root-finding exercises. (MN)

A computation learning lab was planned, implemented, and evaluated as a way of helping learners conquer computation problems. Features include: emphasis on a premotivation activity; the use, on a regular basis, of eight instructional strategies; and active parent support. The lab students showed dramatic gains. (MP)