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…

This paper discusses research on how concepts differ in their internal organization and how these differences interact with and affect cognitive processing in children. Two types of natural concepts are focused on: classes (nouns with class-inclusion organization, such as "trees,""students,""soldiers" and collections…

Selected from the National Instructional Materials Information System (NIMIS)--a computer based on-line interactive retrieval system on special education materials--the bibliography covers 62 materials for teaching number concepts to learning disabled students at the primary grades. Entries are presented in order of NIMIS accession number and…

The Money/Counting Kit for Handicapped Children and Youth, frees the teacher from lessons in money and counting concepts and enables a student to learn at his own rate with immediate feedback from activity cards, name cards, thermoformed coin cards (optional), and self-instructional booklets. The activity cards, which may be used individually or…

The teacher's texts for two teaching sequences in the LOGO mathematics course are presented in this second volume of a four-volume report. The material presented here is designed to be a broad overview of the application of LOGO to the topics of numbers and functions. A variety of alternative paths and approaches are presented; in each case the…

This booklet explains in detail how a number line can be used to demonstrate adding, subtracting, multiplying, and dividing fractions. The fractions 5/7 and 2/3 are first used as examples for each operation, then results are generalized to operations on a/b and c/d. (Related documents are SE 015 950 and SE 015 951.) (DT)