Discusses how intriguing arithmetic images from geometric situations, which serves to remind students that mathematics is interrelated. Discusses also how the teacher can anticipate the possible dialogue in a class and thereby stress points of emphasis "ahead of time". (BR)

Provides historical information about the invention of logarithms and how they were calculated in the past. (ASK)

Presents a modification of the tabular method for evaluating two types of integrals that requires using the integration-by-parts method twice. (ASK)

A study is conducted to prove Kaprekar's conjecture with the help of mathematical concepts such as iteration, fixed points, limit cycles, equivalence cases and basic number theory. The experimental approaches, the different ways in which they reduced the problem to a simpler form and the use of tables and graphs to visualize the problem are…

Multiplication and division have in general been much more difficult to perform than addition and subtraction. Perhaps, if we could find some device for reducing multiplication and division to addition and subtraction, computational loads could be lightened. One such device is that of logarithms of course. This note outlines another such device…

Before primitive man had grasped the concept of number, the written word or even speech, he was able to count. This was important for keeping track of food supplies, sending messages, trading between villages and even keeping track of how many animals were in their herd. Counting was done in various ways, but in all cases, the underlying principle…

This paper presents aspects of a study that investigates the development of an instrument, a reference framework, to analyse students' written responses to non-routine problems in a first year calculus course in order to describe the complexities of their understanding and to assess their understanding of particular mathematical concepts.…

The power of mathematical inscriptions, such as graphs, is often attributed to the fact that they summarize a lot of information independent of their contextual particulars. There is evidence, however, that even quintessential experts and scientists have difficulties interpreting graphs when they are unfamiliar with the entities represented and…

This article describes the most compact 100c% interval for a probability density for 0

Descriptors: Probability, Computation, Mathematical Concepts, Statistics