Two experiments were conducted to test the hypothesis that toddlers have access to an analog-magnitude number representation that supports numerical reasoning about relatively large numbers. Three-year-olds were presented with subtraction problems in which initial set size and proportions subtracted were systematically varied. Two sets of cookies…

The project of comparative cognition benefits from common measures across species. We report here on five experiments using the violation of expectancy looking time measure with free-ranging rhesus macaques ("Macaca mulatta"), each designed to build on current knowledge concerning spontaneous representations of number. Each subject, tested in only…

The present study aims to investigate the relationship between the rhythmical and the kinetic parts of the Hasapikos dance--both slow and fast--so that, after their relation is determined and recorded, the authentic form of the dance can be formally expressed with rhythmical numeration for teaching purposes. The collection of the data was based on…

This note gives geometrical/graphical methods of finding solutions of the quadratic equation ax[squared] + bx + c = 0, a [not equal to] 0, with non-real roots. Three different cases which give rise to non-real roots of the quadratic equation have been discussed. In case I a geometrical construction and its proof for finding the solutions of the…

In this note, using the method of undetermined coefficients, we obtain the power series for exp ( f ( x )) and ln ( f ( x )) by means of a simple recursion. As applications, we show how those power series can be used to reproduce and improve some well-known results in analysis. These results may be used as enrichment material in an advanced…

This note generalizes the well-known Leibnitz rule of successive differentiation for the product of two functions to a similar result for the product of three functions.

In this paper, the author gives a further simple generalization of a power series evaluation of an integral using Taylor series to derive the result. The author encourages readers to consider numerical methods to evaluate the integrals and sums. Such methods are suitable for use in courses in advanced calculus and numerical analysis.

This article investigates a specific instance when the textbook answer for finding a root of a complex number differed with the answer given by the TI-83. After explaining the reason for the difference the article then expands the definition of the integral root of a complex number to an arbitrary complex power of a complex number.

This article discusses divisibility tests for any prime number.

Some useful approaches to assist students with the uncertainty of measurement and the necessity of significant figures through age conversion exercise and activity are presented. It showed that while two people might be born on the same date, they are not born at the same instant once, it considers the birth time to an appropriate number of…

This instructional manual consists of 11 competency-based units for a mathematics course for trade and industrial programs in Texas. Each instructional unit includes the following basic components: unit and specific objectives, notes to the instructor (outline of steps to follow in accomplishing specific objectives), information sheets,…

This two-volume teacher's guide is to be used with a first-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools are…

This two-volume teacher's guide is to be used with a second-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools…

Reviews two software packages; "Block It, An Instructional Game" and "Conquering Whole Numbers." The first is a simulation game which uses graphic representation of base-ten blocks to reinforce place value and regrouping. The second package is designed to give students in grades three through six practice in computation. (PK)

Examines the historical development of logarithm tables. Suggests that students should write computer programs to calculate logarithms. (PK)