The objective of this study was to determine ways of attaining a working competence in the arithmetic of the full real number system, and to explore means of removing some ineffective practice employed in instruction. A secondary objective was to determine the feasibility of developing infinite decimal arithmetic directly, without building on the…

This instructional bulletin was prepared to assist teachers in planning and presenting the sequence of mathematics topics to slow learners. The course is designed to fulfill the high school graduation requirement of one semester of mathematics in the ninth grade. This course combines simple presentations of topics from modern mathematics with new…

THESE GUIDELINES FOR CLASSROOM TEACHERS OFFER SUGGESTIONS FOR TEACHING ELEMENTARY SCHOOL MATHEMATICS IN A MANNER TO REFLECT RECENT CHANGES IN CONTENT, TECHNIQUES, AND APPROACHES TO TEACHING MATHEMATICS. THE PURPOSES OF THESE GUIDELINES ARE (1) TO DETERMINE A DIRECTION FOR MATHEMATICS EDUCATION IN THE ELEMENTARY SCHOOLS OF DELAWARE, (2) TO PROVIDE…

The objective of this study was to explore methods of using commonplace mechanical devices at the fourth grade level to expedite and extend the treatment of two important segments of the lower elementary arithmetic curriculum. The experimental testing of classroom materials took place at the Middle School of the Laboratory Schools of the…

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…

Reported are the results of an exploratory study that analyzed appropriate mathematical or "pre-mathematical" experiences for very young children of nursery school, kindergarten, or first-grade age. Among alternative approaches are the approach via sets, the approach via real numbers, and the approach via the physical act of counting.…

The Mathematics Content Authority List for K-6 represents an attempt to list in one volume the mathematics concepts and skills currently taught in the elementary schools. The list consists of approximately 300 items of mathematical definitions, explanations, and examples. This list is used by the Pennsylvania Retrieval of Information for…

This investigation measured effects of the modern mathematics on achievement in traditional arithmetic and in modern mathematics. Material on Sets, Variables, and Statistics was taught as a separate subject to an experimental group of 207 sixth-grade students. Instruction in the new mathematics content was given over a four-month period, using…

This booklet, one of a series, has been developed for the project, A Program for Mathematically Underdeveloped Pupils. A project team, including inservice teachers, is being used to write and develop the materials for this program. The materials developed in this booklet include (1) number expressions, (2) symbols and ideas, (3) open equations,…

The main objective of this project was to develop effective multi-sensory aids for individual use by high school students who have not achieved a functional mastery of mathematics. Nineteen audiovisual devices directed specifically at the low achiever were developed from three specific devices--audio tape, audio tape with slides, and video tape.…

THIS MANUAL WAS DESIGNED TO HELP TEACHERS TO ACQUIRE THE KNOWLEDGE AND SKILLS NECESSARY FOR THE EFFECTIVE TEACHING OF MODERN MATHEMATICS. THE SPECIFIC PURPOSE OF THIS MANUAL IS TO IDENTIFY SOME OF THE CONTENT WHICH IS FUNDAMENTAL TO THE USE OF LEARNING AIDS AND TO SUGGEST SPECIFIC EXAMPLES FOR THE USE OF VISUAL AND MANIPULATIVE DEVICES IN…

This curriculum project in general mathematics was planned with two specific objectives--(1) to study the existing curricula, textbooks, and teaching methods in mathematics in higher secondary schools of various states, and (2) to develop a new curriculum in mathematics in light of the objectives of teaching the subject and to try out the…