In the first main section of this thesis, I investigate superirreducible polynomials over fields of positive characteristic and also over [set of rational numbers] and [set of integers]. An n-superirreducible polynomial f(x) is an irreducible polynomial that remains irreducible under substitutions f(g(x)) for g of degree at most n. I find…

Many colleges are finding that the use of acceleration in developmental education is a promising direction for improved student progress toward a degree or certificate. Acceleration has been defined in the literature as the reorganization of curricula and instruction in ways that facilitate the completion of educational requirements in an…

After many years of extremely low success rates, a radical new design of the first semester arithmetic remedial course was implemented and studied. Students at a large urban community college could take a traditional semester-long traditional lecture-based remedial arithmetic course or a new accelerated 4-week 20-hour problem-solving based…

This guide for teachers of mathematics in the Career Guidance Program has been designed to help to develop a new interest in education for pupils who have at some point in their career lost interest in academic learning. The program was organized for the ninth grade, since this was the terminal year of the junior high school and since at this time…

TEN WORD-PROBLEMS ARE PRESENTED IN EACH OF THE FOLLOWING AREAS--MULTIPLICATION, DIVISION, FRACTIONS, AND DECIMAL FRACTIONS. SPECIALLY PREPARED TO MOTIVATE CULTURALLY DEPRIVED STUDENTS IN MATHEMATICS, THE PROBLEMS CONTAIN REFERENCES TO OBJECTS FAMILIAR TO THESE STUDENTS.

TWO MAJOR AREAS EVALUATED WERE ELEMENTARY SCHOOLS AND JUNIOR HIGH SCHOOLS. TESTS AND INTERVIEWS WERE DESIGNED TO ANALYZE PROGRESS IN APTITUDES, ACHIEVEMENT, AND ATTITUDES OF THE CULTURALLY DEPRIVED. ON THE ELEMENTARY LEVEL THERE WAS NO SIGNIFICANT CHANGE IN THE APTITUDE OF PUPILS FROM THE THIRD TO SIXTH GRADE SHOWN BY IQ SCORES. READING…

This curriculum bulletin is one of a planned series of bulletins designed to meet the needs of teachers and supervisors. The materials in this bulletin consist of a series of daily lesson plans for use by teachers in presenting a modern program of seventh year mathematics. In these lesson plans are developed the concepts, skills, and applications…

The Diagnostic Testing and Prescription model, developed by the Center for Talented Youth at Johns Hopkins University (MD), was implemented in seven sixth-grade classes at three Brooklyn schools. The selected 165 students were provided an accelerated curriculum (covering arithmetic, prealgebra, and in some cases, algebra) and completed from 1-2.5…

This publication is the first part of a series "Mathematics - Pre-Kindergarten, Kindergarten, and Grade One." This bulletin is a part of the developing curriculum program that incorporates the pre-kindergarten into the educational system and reorganizes mathematics materials in the early childhood years. Part One of the program presented…

The materials in this bulletin consist of a series of daily lesson plans for use by teachers in presenting a modern program of seventh year mathematics. In these lesson plans are developed concepts, skills , and applications. There is an emphasis on (1) an understanding of mathematical structure, (2) growth of a number system, (3) relations and…

The contemporary mathematics program set forth in this publication developed as a result of experimentation and evaluation in classroom situations. This is Part 2 of "Mathematics: 8th Year." Part 1, a separate bulletin, was published during the school year 1967-68. The materials in this bulletin are intended to serve as guidelines for…

Provided is an evaluation report of a special education program in New York City designed to improve the reading and arithmetic skills of brain-injured children in mainstream classes (grades 1 through 8). An assessment of the extent to which participants improved in reading and mathematics and a study of the extent to which the actual program…

The materials in this bulletin consist of a series of daily lesson plans for use by teachers in presenting a modern program of eighth year mathematics. There is an emphasis on (1) an understanding of mathematical structure, (2) growth of a number system, (3) relations and operations in a number system, (4) a development of mathematical skills…

This curriculum bulletin is designed to help teachers meet the diverse needs in mathematics of the children in fifth grade classes. In addition to the emphasis that is placed on arithmetic computational skills, the bulletin shows how to include other areas considered important, such as concepts, skills, and ideas from algebra and geometry. The 80…

METHODS OF MEASUREMENT AND A SUITABLE CURRICULUM WERE DEVELOPED AND ASSESSED FOR ELEMENTARY SCHOOL CHILDREN GIFTED IN ONE OR MORE OF THE FOLLOWING RESPECTS--SPACE CONCEPTUALIZATION, VOCABULARY, NUMBER ABILITY, LOGICAL REASONING, AND SCIENTIFIC INFORMATION. EXPERIMENTAL AND CONTROL GROUPS WERE ESTABLISHED OVER A 2-YEAR PERIOD. EVALUATION OF SOCIAL…