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 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…

This report describes an investigation of how young children respond to two types of tasks: (1) finding one-half of a continuous and a discrete material; and (2) attempting to share continuous and discrete material equally between two dolls. Continuous material, such as string, paper, or liquid, is quantified by adults using measurement units. A…

Literature at national and international levels argues the importance of including mental computation in a mathematics curriculum that promotes number sense. However, mental computation does not feature in importance in the current Queensland mathematics syllabus documents. Hopefully, with the writing of a new mathematics syllabus, mental…

This study investigated the return on investment (ROI) of the Southern extension Leadership Development (SELD) Program as implemented at the University of Georgia. The SELD program builds around the skills individuals and groups in cooperative extension work need to be effective in the future. The centerpiece of SELD is the Managerial Assessment…

The standards, benchmarks, and indicators in this document were created to help Kansas educators develop local curricula and assessments, and to serve as the basis for the state assessments in mathematics. The committee strove to recommend high yet reasonable expectations for all students. There are four mathematics curricular standards: (1)…

This profile is designed to be a recording sheet for monitoring an individual student's progress throughout the school year. Seventh grade assessment materials and the Strategies for Instruction in Mathematics suggest tasks and questions that can be used for on-going and summative assessment. Directions for use and descriptions of the four levels…

Discussion of the need for competency among students in the use of automatic devices for problem solving processes. (SN)

When problems defy solution, mathematicians can settle for "almost." This branch of mathematics (called computational complexity) encompasses both the number of parts involved in a problem and the intricacy of their interrelatedness. Current research in this area is discussed, considering various computer applications involved. (JN)

Ten examples of when the sequences of key presses given in calculator instruction booklets are either inefficient or lead to an incorrect answer are given. (MNS)