Whether students are beginning their study of probability or are well into it, distinctions between complementary sets and mutually exclusive sets can be confusing. Cathy Schloemer writes in this article that for years she used typical classroom examples but was not happy with the student engagement or the level of understanding they produced.…

Hypothesis testing is one of the more difficult concepts for students to master in a basic, undergraduate statistics course. Students often are puzzled as to why statisticians simply don't calculate the probability that a hypothesis is true. This article presents an exercise that forces students to lay out on their own a procedure for testing a…

A self-teaching module on queues, dealing with the use of random numbers in the simulation of realistic queueing or waiting-line situations, is described. Both mathematical content and teaching methods are considered. (MNS)

Twelve resource units are presented for the teaching of science and mathematics to gifted students in secondary school. The units present an introduction, tips for teachers, objectives, activities, and materials lists. The units include: "Functions, Relations, and Graphs" (Priscilla Watts); "More Wham to the Gram (A Study of the…

The sport of Ultimate has grown from parking lot fun to international competition in its 35 year existence. As in many sports, the team that scores is subsequently on defense. Thus the probability that a team will score next is dependent on which team has scored most recently. Unlike in many other sports, teams switch ends after each score. Thus…

This curriculum guide covers Course II of a three-year sequence for high school mathematics in New York which was intended to provide an alternative to the regular Regents' sequence of ninth-, tenth-, and eleventh-grade mathematics. A listing of scope and content is provided along with suggested time allotments. Topics covered are: Logic,…

The purpose of this revised syllabus/guide is to help teachers and administrators plan and implement Course II in the the State Three-Year Sequence for High School Mathematics for Regents credit. Course II builds upon the state mathematics curriculum outlined in the department's mathematics K-6, Grade 7, Grade 8, and Course I publications.…

The purpose of this revised syllabus/guide is to help teachers and administrators plan and implement Course I in the State of New York Three-Year Sequence for High School Mathematics for Regents credit. Course I builds upon the State mathematics curriculum outlined in the Department's mathematics K-6, Grade 7, and Grade 8 publications. This guide…

Previous work by Grannis and Jackson suggested that teachers, learners, feedback sources, instructional sequencing, material format, or other variables may exercise control over the learning environment. It was suggested that the behavioral structure of a classroom can be described in terms of a knowledge dimension, a social dimension, and an…

The National Science Foundation funded Calculators and Mathematics Project, Los Angeles (CAMP-LA) developed curriculum materials focused solely on the use of calculators. The project was developed in three stages. The first stage studied the mathematics curriculums from different states and identified topics that are not included but should be if…

The Calculators and Mathematics Project, Los Angeles (CAMP-LA), funded by the National Science Foundation for developing use of technology in the classroom, developed curriculum materials focused solely on the use of calculators. The project was developed in three stages. The first stage studied the mathematics curriculums from different states…

The National Science Foundation funded Calculators and Mathematics Project, Los Angeles (CAMP-LA) developed curriculum materials focused solely on the use of calculators. The project was developed in three stages. The first stage studied the mathematics curriculums from different states and identified topics that are not included but should be if…