Multiple-choice testing is an educational reality. Rather than complain about the negative impact these tests may have on teaching and learning, why not use them to better understand your students' true mathematical knowledge and comprehension? Maryann Wickett and Eunice Hendrix-Martin show teachers how to move beyond the student's answer--right…

The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…

In many mathematics classes, students are asked to learn via the discovery method, in the hope that the intrinsic beauty of mathematics becomes more accessible and that making conjectures, forming hypotheses, and analyzing patterns will help them compute fluently and solve problems creatively and resourcefully (NCTM 2000). The activity discussed…

A computer program that allows students to simulate an experiment in probability is given, with specific suggestions on how to use and study the program. (MNS)

Presents a probability activity addressing students' misconceptions regarding the Law of Large Numbers. Provides students with better conceptual understanding of the Law of Large Numbers. (ASK)

This brief investigation exemplifies such considerations by relating concepts from number theory, set theory, probability, logic, and calculus. Satisfying the call for students to acquire skills in estimation, the following technique allows one to "immediately estimate" whether or not a number is prime. (MM)

Examines ways to integrate a discussion of lotteries into a lesson on combinatorics and probability to enhance the teaching and learning of number sense. (Author/MKR)

This book helps teachers define good questions, offers tips on how to create their own good questions, and includes a wide variety of questions for use in the classroom. Each chapter of the book is organized by subject area and age group so that teachers can locate the topic their class is working on, then select probing, thought-provoking…

Presents activities that allow primary grade students to develop specific thinking strategies for basic facts such as counting on, using doubles, and making 10 in problem-solving settings. Discusses other topics such as probability, spatial sense, and money. Offers rich opportunities for reasoning and communication. (ASK)

This is part three of a three-part manual for teachers using SMSG high school text materials. Each chapter contains a commentary on the text, answers to the exercises, and a set of illustrative test questions. Chapter topics include: (1) the system of vectors; (2) polar form of complex numbers; (3) sequences and series; (4) permutations; (5)…

Presents an activity introducing probability and patterns to multigrade students. Uses the storybook "The Thirteen Days of Halloween" to demonstrate numbers, patterns, and probability. (ASK)

Creates graphs to see how the relative frequency of an event tends to approach the probability of that event as the number of trials increases. Uses a simulation of a poker machine to provide context for this subject. (ASK)

This book contains a set of versatile enrichment exercises that cover a very broad range of mathematical topics and applications in algebra from the Moebius strip to the googol. Several criteria have been used in developing the activities and selecting the topics that are included. All of them bear heavily and equally on concerns for curriculum…

Suggests guided discovery techniques to help students find the rule by which an arrival sequence of consecutively numbered school buses is considered a "success," and presents arguments by Honsberger for a formula to calculate the number of successful patterns for a given number of buses. (SEW)

This book contains a classroom-tested approach to the teaching of problem solving to all students in Grades 4-6, regardless of ability. Information on problem solving in general is provided, then mathematical problems on logic, whole numbers, number theory, fractions, decimals, geometry, ratio, proportion, percent, probability, sets, and…