This textbook is one of a series of publications designed to provide information needed by Navy personnel whose duties require an elementary and general knowledge of the fundamental concepts of number systems, logic circuits, and Boolean algebra. Topic 1, Number Systems, describes the radix; the positional notation; the decimal, binary, octal, and…

Examples of topics and problems which demand Piaget's formal operational thought at an early stage in the secondary school are provided. (DT)

Activities that are helpful for teachers and pupils alike in getting the feel for how big a million really is are suggested. (DT)

The author has written an unpublished summary of his reactions to an earlier article on number patterns used to provoke mathematical investigations. His work is an additional demonstration of the potential mathematics that can be stimulated from such investigations. (JP)

The development of the ability to associate numerals with sets of appropriate size was studied in children, ages 4 to 5-1/2. (ST)

Represented are notes that have been compiled from meetings between teachers and members of the SMSG staff, discussing kinds of pre-school activities that might be appropriate for the development of various mathematical concepts. The sequence of concepts presented are in the same order as they are developed in the SMSG kindergarten program. Some…

This volume is designed to provide information for teachers and prospective teachers who will teach the basic concepts of algebra normally taught in grade 9. Each section of the book contains background information, suggestions for instruction, and problems. Sections in the book include: (1) Numerals and Variables; (2) Open Sentences and English…

This is one of a series of publications written to supplement the secondary school School Mathematics Study Group program. This booklet will be most useful for enrichment at the eleventh and twelfth grade levels. It treats algebraic structures as abstract mathematical systems and introduces such important ideas as group, non-abelian group, field,…

Presents three experiments which investigated: (1) the nature of the processes by which preschool and kindergarten children estimate small numbers; and (2) the generality of the number-relevant versus number-irrelevant categorization scheme in the child's operative thinking about small numbers. (Author/ED)

Reported are the findings of a study of over seven hundred fourth-, sixth-, and eighth-grade pupils' ability to understand division involving zero. Implications for the classroom are discussed, including suggested teaching strategies. (JP)

Study supported by grant number 00870-05 from the National Institute of Child Health and Human Development.

A COMPARISON OF NUMBER SYSTEMS IS MADE IN THE FIRST SECTION OF THE CLASSWORK MATERIALS. A CHART COMPARING PREHISTORIC, BABYLONIAN, AND EGYPTIAN NUMBER SYSTEMS IS PRESENTED, AS WELL AS A WORK SHEET FOR EGYPTIAN HIEROGLYPHICS AND A TEST ON NUMBER SYSTEMS. ALSO INCLUDED ARE TESTS ON GRAPHIC FRACTIONS, COMMON DENOMINATORS, THE MULTIPLICATION OF…