Suggests that by using elementary concepts and arithmetic methods it is possible to find many interesting aspects of mathematics. The activities could be used to allow students to make individual discoveries about mathematics. (PK)

This article discusses the classroom use of discovery of number pattern. Provided are examples of a table of squares, multiplications of numbers, and algebraic expressions. (YP)

Insights from both cognitive psychology and learning disabilities intervention research are presented to improve understanding of the processes by which number fact fluency develops. Discussion includes assessment guidelines and learning strategies such as counting all, counting on, and alternative groupings. (Author/JDD)

Effects of 3 different types of instruction (use of manipulatives, use of diagrams, and use of symbols only) of rational number content and teaching techniques were compared for 75 preservice teachers in a course in elementary mathematics. Only the manipulatives group showed significant improvement pretest to posttest. Implications are discussed.…

In this article, the author reports findings from a project designed to explore approaches for improving students' mathematical learning outcomes in relation to the base ten number system. The project explored the role of a commonly used teaching activity, referred to in the project as the "base ten game," in developing children's…

Aimed at students who love math as well as those who dread it, this book adds another dimension to the abstract nature of numbers. Using words and pictures, teachers can help children make the connection between mathematics and their everyday routines and observations. This book includes: (1) 20 illustrated poems; (2) math practice with sorting,…

Neater representations for variance are given for small sample sizes, especially for 3 and 4. With these representations, variance can be calculated without a calculator if sample sizes are small and observations are integers, and an upper bound for the standard deviation is immediate. Accessible proofs of lower and upper bounds are presented for…

This note presents a brief and partial review of the work of Broom, Cannings and Vickers [1]. It also presents some simple examples of an extension of the their formalism to non-symmetric matrices. (Contains 1 figure.)

This book is intended for supplementary reading in the elementary school. It is written in non-technical language, and the effort has been made to connect with the history enough of the human element to make it more interesting than any mere recital of facts. With it there is also joined something of the history of writing materials, this being…

ATTITUDES OF STUDENTS TOWARD ARABIC NUMBERALS AND THEIR ASSOCIATIONS WITH THE NUMBERS FROM 1 TO 9 WERE INVESTIGATED IN A SERIES OF FIVE STUDIES ON (1) NONQUANTITATIVE ASSOCIATIONS TO NUMERALS AS A FUNCTION OF AGE, ABILITY LEVEL, AND SEX AMONG AMERICAN CHILDREN, (2) COLOR ASSOCIATIONS WITH NUMERALS AMONG MALE COLLEGE STUDENTS, (3) PERSONALITY…

This programed text is an introduction to the algebra of complex numbers for engineering students, particularly because of its relevance to important problems of applications in electrical engineering. It is designed for a person who is well experienced with the algebra of real numbers and calculus, but who has no experience with complex number…