Significant questions are addressed in an extensive discussion of the differences between qualitative and quantitative concepts and measurement strategies in the physical sciences. Also included is a discussion of number-generating activities often grouped in the social sciences under the term of measurement. Implications for the redirection of…

This programed mathematics textbook (Volume I) is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also…

This programed mathematics textbook is for student use in vocational education courses. It was developed as part of a programed series covering 21 mathematical competencies which were identified by university researchers through task analysis of several occupational clusters. The development of a sequential content structure was also based on…

The paper presents reasons for teaching topics from number theory to elementary school students: (1) it can help reveal why numbers "act" in a certain way when added, multiplied, etc., (2) it offers drill material in new areas of mathematics, (3) it can develop interest - as mathematical enrichment, (4) it offers opportunities for students to…

A brief survey of the elementary number systems is provided. The natural numbers, integers, rational numbers, real numbers, and complex numbers are discussed; numerals and the use of numbers in measuring are also covered. (DT)

This history of binary arithmetic begins with details of Thomas Hariot's contribution and includes specific references to Hariot's manuscripts kept at the British Museum. A binary code developed by Sir Francis Bacon is discussed. Briefly mentioned are contributions to binary arithmetic made by Leibniz, Fontenelle, Gauss, Euler, Benzout, Barlow,…

This study investigated three factors associated with third grade children's ability to solve open sentences of the types N + a = b, a + N = b, a - N = b, and N - a = b, where a and b are given whole numbers and N is to be found. Two factors were: (1) the size of the numbers a and b; and (2) the context of the sentence, whether presented alone or…

The design, results, and conclusions of a study to determine the feasibility of interrelating the four basic operations with young children are reported along with implications for curriculum and instruction. (MP)

This game involves one player guessing the numbers and operations of an equation written down by another player. (MP)

An analysis of the rabbit problem reveals some of the fascinating properties of the Fibonacci numbers. (MP)

Complex numbers and trigonometry are used to prove that a given constructed line is equal to the length of one side of a regular pentagon inscribed in a unit circle. (MP)

A test for divisibility by any prime number is discussed and its proof is given. (MP)

Binomial coefficients are used to prove two conjectures concerning the partitioning of an N-dimensional space. (MP)

The article describes use of the number line to teach special education students money skills. (CL)