The teacher's guide for Unit 10 of this SMSG series covers the chapter on problem solving and the chapter on solution sets of mathematical sentences. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives…

The Problems of the Week (PoWs) are creative, non-routine math challenges for elementary-, middle-, and high-school-level students. They are designed to stimulate student interest in problem solving and to encourage them to communicate their mathematical thinking. This Teacher's Guide describes program features and provides strategies for…

Increased interest in mathematical problem solving and in the development of problem-solving ability have demanded that mathematics educators give greater attention to problem-solving instruction. A four-step model for solving problems is followed by sets of suggestions for instructional use. (MP)

Designed for the student who has completed the geometry series in the Quinmester Program, this guidebook on minimum course content provides an investigation of challenging mathematical activities which are not usually developed in other mathematics courses. The content includes brainteasers, puzzles, and game theory. Overall course objectives are…

Designed for the students who have taken algebra and geometry and who need to strengthen their skills in problem solving and mathematical applications, this guidebook on minimum course content emphasizes the kinds of skills and procedures used in college placement tests. Overall course goals are specified, a course outline is provided, performance…

This USMES unit challenges students to find ways to influence rules and the decision-making process in the school. The teacher resource book for the School Rules unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES…

This USMES unit challenges students to find ways to overcome the difficulties in getting from one place to another. The teacher resource book for the Getting There unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES…

This guide is designed to assist inservice providers in conducting successful workshops for teachers, administrators, and others associated with Chapter 1 mathematics programs. It contains step-by-step procedures for preparing, organizing, and presenting the workshop. Included in this guide are: (1) an advanced planner, which includes a detailed…

This publication contains two miniunits to help students in grades 7-12 build skills for the future. The exercises can also be adapted for use in grades 4-6. Each of the miniunits contains several exercises to build specific skills. Miniunit One, "The Arithmetic of Growth," deals with two concepts--exponential growth and doubling time. These two…

This USMES unit challenges students to find the best way to learn or teach someone else certain things. The teacher resource book for this unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES "challenges" and of classroom…

This USMES unit challenges students to collect and maintain a variety of animals in the classroom. The teacher resource book for the School Zoo unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES "challenges" and of…

This USMES unit challenges students to find ways to help themselves and/or others to adapt to new situations. The teacher resource book for the Orientation unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES "challenges"…

This USMES unit challenges students to build a burglar alarm which will give adequate warning. The teacher resource book for the Burglar Alarm Design unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES "challenges" and of…

This USMES unit challenges students to find out what is the best information to put in a description so that a person can be quickly and easily identified. The teacher resource book for the Describing People unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a…

This USMES unit challenges students to invent a new soft drink that would be popular and produced at a low cost. The teacher resource book for the Soft Drink Design unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES…