This is part two of a three-part School Mathematics Study Group (SMSG) textbook. This part includes the index and chapters 6 through 10: (6) Curve Sketching and Locus Problems, (7) Conic Sections, (8) The Line and the Plane in 3-Space, (9) Quadric Surfaces, and (10) Geometric Transformations. (MK)

The origin, properties, and applications of various number systems are discussed. Among the 15 topics discussed are: tests for divisibility, the binary system, the game of Nim, computers, and infinite number representations. (MK)

This is the teacher's commentary for part one of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include congruence; numbers and variables;…

A remedial mathematics program at the college level is described. The evolution of the course from 1973 until 1979, the program purpose, conceptual framework, procedures, subjects, instruments, and methods are described. Appendices include unit objectives, a chronological development of the program by semester, and data on student achievement. (MK)

The six brief papers in this document were prepared for an NIE-sponsored meeting in April 1980. Claudette Bradley poses questions (but no answers) on factors affecting American Indians. Alberta Castaneda stresses the need to ascertain how young children learn mathematical ideas. Tony Alfredo Gallegos notes inadequacies of Spanish bilingual…

BEGINNING IN 1958, STUDENTS SHOWING EXCEPTIONAL PROMISE IN SCIENCE AND MATHEMATICS WERE GIVEN AN OPPORTUNITY TO PARTICIPATE IN A YEAR-ROUND SEMINAR. STUDENTS WERE CHOSEN ON THE BASIS OF THEIR INTEREST, ABILITIES, AND THEIR PERFORMANCE ON A WRITTEN TEST. THEY ENTERED THE PROGRAM AT THE END OF THEIR FRESHMAN YEAR AND COULD REMAIN IN IT THROUGHOUT…

THIS STUDY WAS TO EVALUATE A SUMMER PROGRAM IN SCIENCE AND MATHEMATICS FOR 60 PROMISING SCIENCE STUDENTS, AND TO DETERMINE THE EFFECTS OF SUCH A PROGRAM ON THE BEHAVIOR OF STUDENTS IN CLASSES DURING THE ENSUING YEAR AND ON THEIR FUTURE CAREER DECISIONS. THE FIRST 2 OF THE 10 WEEKS OF THIS PROGRAM THE STUDENTS WERE GIVEN ADVANCED INSTRUCTION BY…

THIS DOCUMENT IS A TEACHING GUIDE TO AID IN THE USE OF CUISENAIRE MATERIALS TO PRESENT FUNDAMENTAL MATHEMATICAL CONCEPTS TO ELEMENTARY SCHOOL CHILDREN. CONCEPTS OF AND EXERCISES IN COUNTING, NUMBERING, ADDING, DIVIDING, SUBTRACTING, AND MULTIPLYING ARE EMPHASIZED. IN ADDITION, CONCEPTS OF FRACTIONS, DISTRIBUTIVE PROPERTIES OF NUMBERS, RECTANGULAR…

AN ARITHMETIC WORKSHOP AT THE UNIVERSITY OF CINCINNATI WAS HELD TO IMPROVE THE PRIMARY AND INTERMEDIATE ARITHMETIC PROGRAMS FOR THE ACADEMICALLY GIFTED CHILDREN OF THE CINCINNATI PUBLIC SCHOOLS. THE MATERIAL PRESENTED FOR USE IN THE PRIMARY GRADES CONTAINS CONCEPTS TO BE DEVELOPED, APPROPRIATE ACTIVITIES TO REINFORCE THE LEARNING, AND PUZZLES AND…

DURING A WORKSHOP HELD TO IMPROVE PRIMARY AND INTERMEDIATE ARITHMETIC PROGRAMS FOR THE ACADEMICALLY GIFTED CHILDREN IN THE CINCINNATI SCHOOLS, THE TEACHER PARTICIPANTS DEVELOPED A SERIES OF IDEAS AND EXERCISES. THE MATERIAL IS INTENDED TO PROVIDE CHALLENGING ENRICHMENT EXPERIENCES FOR MANY CHILDREN AND TO BE OF HELP TO ADMINISTRATORS AND TEACHERS…

AS A RESULT OF THE DEVELOPMENT OF NEW MATHEMATICS CURRICULUMS ON ALL LEVELS, THE NEED FOR INSERVICE EDUCATION OF TEACHERS IS CRITICAL. THIS CONFERENCE MET IN ORDER TO STUDY EXISTING PROGRAMS AND TO REPORT PROMISING PRACTICES, TO EXPLORE WAYS OF FINANCIAL SUPPORT, AND TO DEVELOP PLANS FOR PILOT PROGRAMS IN STATES WHERE ASSISTANCE IS NEEDED. IN…

IN LIGHT OF THE PSYCHOLOGICAL FACTORS DISCUSSED, THE FOLLOWING SUGGESTIONS ARE MADE FOR THE SET-UP OF A MATHEMATICS PROGRAM FOR SOCIALLY DISADVANTAGED CHILDREN. IN PRE-SCHOOL, CHILDREN SHOULD BE SUBJECTED TO PERCEPTUAL TRAINING AND CONCEPT DEVELOPMENT RELATIVE TO SPACE, NUMBER, TIME AND RELATED CONCEPTUAL DOMAINS, SINCE THESE LATER BECOME THE…

ACTIVITIES ARE DISCUSSED WHICH TOOK PLACE DURING THE SECOND YEAR OF THE PROPOSED 5-YEAR "MADISON PROJECT," A COMPREHENSIVE EFFORT AIMED AT GIVING SCHOOL CHILDREN AN EXPERIENCE IN THE CREATIVE AND OPEN-ENDED FORM OF MATHEMATICS AS IT IS KNOWN TO MATHEMATICIANS. THE REPORT OF THE FIRST YEAR (1962) BORE THE SAME TITLE AS THIS REPORT.…

THE TALENTED YOUTH PROJECT (TYP) MATHEMATICS STUDY WAS DESIGNED AS A STUDY TO COMPARE THE EFFECTIVENESS OF VARIOUS CURRICULUM PATTERNS AND PRACTICES IN MATHEMATICS EDUCATION CURRENTLY USED WITH ACADEMICALLY TALENTED JUNIOR HIGH SCHOOL STUDENTS. THE SAMPLE CONSISTED OF 51 CLASSES AND 6 MATHEMATICS PROGRAMS. THE LORGE-THORNDIKE VERBAL INTELLIGENCE…

This paper is presented in two sections. The first considers survey research, both in general and educational contexts, and outlines the potential utility of combining survey methods and observational fieldwork in studying different aspects of the same phenomenon. The second provides background for, and a description of, the survey phase of IRT's…