This booklet is part of a series of four pamphlets, each intended to stand alone, which provide problems in probability and statistics at the secondary school level. Twelve different real-life examples (written by professional statisticians and experienced teachers) have been collected in this booklet to illustrate the ideas of mean, variation,…

The first part of the teachers' guide for "Finding Models" briefly describes the mathematical background necessary for the student, lists the substantive areas touched on by the problems in the pamphlet, suggests classroom uses for the booklet, and gives background information for the individual chapters. The second part provides complete…

Topics covered in the first chapter of Unit 8 of this SMSG series include square roots, operations with radicals, operations with real numbers, and the structure of the real number system. The second chapter deals with measurement of area (for rectangular regions, other polygons, and circles), volume and surface area, computation involving…

Transformation geometry topics are covered in one chapter of Unit 11 of this SMSG series. Work with translations, reflections, rotations, and composition of motions is included; vectors are briefly discussed. The chapter on computers and programming deals with recent history and uses of of the computer, organization of a digital computer, an…

The purpose of this study was to investigate attempts to modify teachers' verbal behavior characterized as direct by the Flanders' system of interaction analysis. An initial observation showed that out of 12 teachers, 3 were indirect and 9 were direct. Three groups were determined: Group I, 3 indirect teachers (control); Group II, 4 direct…

This handbook provides suggestions for teaching topics in seventh and eighth grade mathematics and was intended to be used as a supplement to the seventh and eighth grade syllabus (see SE 016 446). Optimal materials, activities, and approaches are suggested for the following topics: sets; numeration systems; natural numbers, whole numbers,…

Designed for the student who has acquired basic computational skills with non-negative rational numbers, this guidebook delineates minimum course content to further develop students' computational skills with whole numbers. Place value and estimation are also covered. General goals, performance objectives, a course outline, suggested teaching…

This report is divided into four sections. In the first section mathematics education in New York state is compared with that in other countries and other states, and variations within the state are discussed. Six major problems are identified for further study: the decreasing interest and achievement in mathematics; the relationship of…

The 1959 Royaumont seminar "New Thinking in School Mathematics," having agreed on the need for modernization, recommended that a second group of experts work out detailed synopses of the entire subject matter of secondary school mathematics. This book is the report of the second seminar and contains the Dubrovnik Program which stimulated…

This is the ninth in a series of ten self-contained units designed for use by students in ninth grade general mathematics classes. This unit is divided into six sections dealing with different concepts involving positive and negative numbers. Some concepts presented include positive and negative integers, addition and subtraction, multiplication,…

This is the sixth in a series of ten self-contained units designed for use by students in ninth grade general mathematics classes. This unit is divided into eight sections dealing with different types of mathematical thinking. Some topics presented include functions, permutations and combinations, symmetry, inductive thinking, and logic. Though…

This teaching guide outlines a semester course for those students who need review work in concepts from algebra and geometry. Successful completion of this material would serve as a prerequisite to the study of trigonometry. Sequence, textbook references, and time allotments are suggested. Units studied are: the real numbers; operations on the…

This report is an evaluation by the Rand Corporation of a project designed to raise reading and arithmetic achievement of disadvantaged junior high school students. The project was prepared by Lockheed Missiles and Space Company for the San Jose Unified School District. Described are both the original R-3 program for a small number of students and…

This resource manual is designed for use with tenth grade boys whose main interest lies in the shop and industrial arts areas. The course emphasizes mathematical problems inherent in various trades and industries. The primary objective is to motivate the student to apply, improve, and increase his computational skills. The manual is divided into…

GRADES OR AGES: Grades 9-12. SUBJECT MATTER: Basic mathematics. ORGANIZATION AND PHYSICAL APPEARANCE: The guide has three main sections--general mathematics, applied mathematics, and senior mathematics. The material in each section is set out in four columns--major areas, significant anticipated outcomes, observations and suggestions, and…