This paper considers the relationships between mathematics, creativity, and the socioeconomically disadvantaged teenager. The aim is to ascertain better how to recognize the mathematically gifted student and then to pursue the question of how best to facilitate his or her learning of mathematics. Research and other literature are analyzed,…

This report outlines the activities of the Study of Mathematically Precocious Youth (SMPY) in four areas: (1) Discovery (finding the talented); (2) Description (further study of the ablest of them); (3) Development (helping the talent-search participants educationally); and (4) Dissemination (helping others use SMPY's principles, practices, and…

This is a supplementary manual for teachers using SMSG junior high school text materials. A chapter-by-chapter commentary on the text is given as well as answers to all the exercises. Chapter topics include: (1) sets; (2) projective geometry; (3) repeating decimals; (4) tests for divisibility; (5) finite differences; and (6) prime numbers. (MP)

This publication provides a forum for mathematics teachers who are interested in developing creative approaches for teaching mathematics. It consists mainly of articles under two heads--papers read at seminars on mathematics teaching, and original articles or reprints related to teaching and learning mathematics. There is a reference section which…

Procedures for the development of the Second Assessment of Mathematics (1977-78) by the National Assessment of Educational Progress are outlined following an overview of the National Assessment effort and the first assessment of mathematics during the 1972-73 school year. The framework for organizing the mathematics objectives for the second…

This is a self-contained manual for use by teachers in preparation for classroom presentations. One of the goals of the report is to show how games and puzzles can provide effective means for developing mathematical understanding and skills. The authors indicate that this type of activity is well adapted for discovery teaching techniques. The…

This document contains a summary of the 1974-75 statewide assessment for mathematics education in Louisiana. The study involved samples of students at ages 9, 13, and 17. Chapter 1 presents planning, development, and administration. Chapter 2 presents results of the assessment and Chapter 3 presents conclusions and recommendations. Content areas…

The purpose of this study was the development and validation of a paper-and-pencil instrument to assess the formal stage of development as defined by Piaget. Initially, a 42-item test was constructed; item content included syllogisms, verbal analogies, combinatorial and probabilistic reasoning, and questions similar to Piagetian tasks. This…

The purpose of this project was to relate mathematics studies to the students' natural enthusiasm for popular music and favorite performers. Learning modules rather than lesson plans were used as the teaching approach in the experimental music-mathematics classes. Stated objectives of the project were (1) to motivate students to learn to code and…

This text is one of the sequence of textbooks produced for low achievers in the seventh and eighth grades by the School Mathematics Study Group (SMSG). There are eight texts in the sequence, of which this is the fifth. This set of volumes differs from the regular editions of SMSG junior high school texts in that very little reading is required.…

This text is one of the sequence of textbooks produced for low achievers in the seventh and eighth grades by the School Mathematics Study Group (SMSG). There are eight texts in the sequence, of which this is the seventh. This set of volumes differs from the regular editions of SMSG junior high school texts in that very little reading is required.…

This pamphlet consists of 17 brief chapters, each containing a discussion of a numeration system and a set of problems on the use of that system. The numeration systems used include Egyptian fractions, ordinary continued fractions and variants of that method, and systems using positive and negative bases. The book is informal and addressed to…

In an attempt to prepare students for units analysis in the solution of problems in high school chemistry and physics, the author developed learning packets on the factor label method. Thirty-three students used these packets individually during a regular tenth-grade geometry class. There were two packets, each to be used for two days. Prior to…

This study was undertaken to investigate the relative effectiveness of two instructional options offered at City High School, Iowa City. Students enrolled in algebra and geometry courses at this school may elect to participate in a self-paced Program using learning packets, pretests and posttests developed by the faculty, or to be taught by…

The purpose of this study was the construction of a theoretical model for analyzing mathematical problem solving. A list of general problem-solving abilities was generated through a literature search. This list was narrowed to eight basic abilities pertinent to mathematics problem solving. Each of these was operationally defined and exemplified in…