Activities are presented that focus on the topic of problem solving using the strategies of: (1) patterning; (2) working backwards; (3) making a chart, table, or graph; and (4) diagraming and elimination. (RH)

This book offers games and mathematics activities using a hands-on approach for middle school students and features games, puzzles, experiments, and projects. Contents include: (1) "Boxed In!"; (2) "Oddball"; (3) "Pig"; (4) "Madagascar Solitaire"; (5) "Fantastic Four"; (6) "Eratosthenes' Sieve"; (7) "Hopping Hundred"; (8) "Tic-Tac-Toe Times"; (9)…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. Experiencing Mathematics, is a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures--thus "experience mathematics." The relevant nature of the…

This book presents 20 projects for technology education students. The emphasis is on problem solving and hands-on learning through projects dealing with a wide variety of technologies/industries, including the following: robotics, information storage and retrieval, communications, transportation, electronics, manufacturing, construction, materials…

The focus is on measurement and the concepts of length, area, and volume. Experiences with estimating and measuring are provided through worksheets on centimeters, areas of rectangular shape, block problems, and a garden problem. (MNS)

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

This collection of activities shows how teachers can help pupils develop problem-solving techniques or strategies using a basic four-function calculator. The techniques "look for a pattern,""make a chart or organized list," and "guess and check" are used repeatedly in activities that range from discovery to application to strategy games. The…

This supplementary mathematics textbook is designed to teach pupils in the intermediate grades about the vocabulary and use of the metric system of measurement. The book limits exploration to the units of measurement for length, capacity, mass, temperature, area, and volume, with only the following prefixes considered: kilo, hecto, deka, deci,…

Presented is one of a series of resource guides designed to provide students with an improved mathematics program. This guide emphasizes real-life situations focusing on the operation of a store. Classes are divided into grocery, meat, produce, drugs, and hardware sections at the beginning of the course. Students learn how to organize, collect,…

An activity for grades 6-10 designed to allow students to explore a hundred chart to discover patterns is presented. Discussed are materials, objectives, and procedures. Three worksheets with answers are provided, and an extension activity is suggested. (CW)

This book is intended for use as a student guide. It is about human problem solving and provides information on how the mind works, placing a major emphasis on the role of computers as an aid in problem solving. The book is written with the underlying philosophy of discovery-based learning based on two premises: first, through the appropriate…

This board game encourages junior and senior high school student analysis of the German campaign against the USSR and gauges student decision-making skills. The World War II Russo-German Front is simulated in a standard board game format. A key element of the game is its analysis and results form. Using this form compels students to analyze and…

The activities in this monograph are self-contained explorations into mathematical topics not often included in regular classroom work in grades 3-8. They were selected because of their intriguing enjoyment and because they deal with honest mathematics; they also strengthen skills, especially problem-solving skills. Included are activities with…

Presents activities to teach the formula for the area of a rectangle that require students to determine the cost of refurbishing their school's tennis courts. Students collect their own data, organize information, and make decisions individually and as a group to solve the problem. Worksheets are provided. (MDH)

Students nearing high school graduation need more than the skills and information given them in the past 12 years; they also need to know "how" to learn. The Senior Seminar, which is a program offering a semester of interdisciplinary experiential learning, teaches students to become independent, self-directed learners by first presenting…