Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found…

This book is about playing with mathematics, teaching: (1) How to multiply and divide large numbers mentally; (2) Making addition and subtraction easy; (3) Tricks for understanding fractions and decimals; and (4) How to quickly check answers for each calculation. Described as a foolproof way to do multiplication, division, factoring estimating,…

Arithmetic is the science of numbers, and also the art of computation. This textbook presents mental and written arithmetic through simple numbers. [This book was written by the Brothers of the Christian Schools and published by De La Salle Institute.]

An elementary arithmetic workbook in whole numbers for speakers of Hmong has an introductory section and a variety of exercises in conceptualizing, writing, spelling, and sequencing numbers from 0 to 999. (MSE)

Presents worksheets for students to practice substituting whole numbers into fairly simple symbolic expressions. (MKR)

Presents five activities focusing on mental computation and estimation for the K-3, 3-5, 4-6, and 6-8 grade levels that require the student, acting as a judge, to review solutions to problems and to pronounce and justify a verdict. Provides suggested materials, questions, possible extensions, answers, and worksheets for each activity. (MDH)

This section of the journal contains computational activities designed to be used with a calculator. These activities enable students to practice skills of estimation, skip counting, place value, and computation. (RH)

Describes a program written in BASIC, called BIGNUM, that was designed to aid in handling big numbers. The program adds, subtracts, multiplies, divides, and raises to a power integers of up to 1024 decimal digits and is thought to be usable on many types of machines. (MP)

Provides measurement, estimation, and data analysis activities for grades three to four and five to six using boxes of cereal and containers of frozen yogurt. (MKR)

This activity guide is a supplement to the November 1996 issue of the National Council of Teachers of Mathematics Student Math Notes. It contains a series of problems based on one main story problem. Using this problem and the other problems contained in the guide based on it, students explore different mathematical concepts such as graph theory,…

This booklet provides worksheets for children in preschool through grade one. The focus is on developing number concepts, with activities on matching numbers with pictures and on completing sequences, addition and subtraction facts, measurement ideas, fraction ideas, and identifying shapes. (MNS)

Practice in adding single digits is provided by puzzles called Totalines. The Magic Pentagram and Hexagram and the Distance Chart extend the addition practice. (MNS)

Several subtraction algorithms are analyzed to see if they involve borrowing. The main focus is on an analysis of a procedure called the residue method. The operational arithmetic which underlies the symbolic manipulations is examined and conditions where the method does and does not use borrowing are highlighted. (MP)

Problems and activities are presented for which "I can't do it" or "It can't be done" are the correct responses. Including problems of this type in the curriculum adds a new dimension to students' learning and helps to develop better problem solvers. (Author/MK)

This book introduces children to the numbers 1 through 16 (and some basic mathematical concepts) using the petals of a variety of flowers. The first part of the book contains 16 full-color photographs, each photograph showing a flower with 1 to 16 petals, with the number printed below the photograph. These pages can be used to introduce or…