Two major ways to view the numbers to 100 are counting by ones and grouping by tens and ones. Research suggests that early understanding of numbers comes from counting and that place value instruction cannot be hurried. (PK)

Attempted to verify knowledge regarding decimal and rational numbers in children ages 10-14. Discusses how pupils can receive and assimilate extensions of the number system from natural numbers to decimals and fractions and later can integrate this extension into a single and coherent numerical structure. (Author/MKR)

This is a reprint of an address given at the Christmas National Council of Teachers of Mathematics (NCTM) meeting in 1958. It provides a critique of elementary instruction and discusses the changes necessary. It calls for fundamental change in the concept of mathematics teaching. (PDD)

This is part one of a two-part School Mathematics Study Group (SMSG) textbook. The text serves as a means to prepare teachers to teach the SMSG text "Mathematics for Junior High School." The six chapters found in part one are: (1) Sets, (2) Numeration, (3) Computation in Bases Other than Ten, (4) Mathematical Systems, (5) Introducing New…

Difficulties that entering college freshmen showed on a mathematics assessment test are discussed. More students can perform decimal computation than can order decimals. The concept of equivalent decimals should be taught more carefully at every level. (MNS)

Described is an activity in which students develop their own number system. This activity allow students to examine the structure and history of number systems and to discover the power and respectable efficiency of the number system used today. (KR)

Children's responses to an alternative model over three lessons were described and their learning assessed in a posttest. Their responses and performances were compared to that of a similar group of children learning through a conventional number line model. The two models were compared from practical and theoretical viewpoints. (Author/CW)

Argues that the type of calculator that is used in mathematics instruction is very important. Suggests that four-function calculators fail to give correct values of mathematical expressions far more often than do scientific calculators. (PK)

In this article, the author reports findings from a project designed to explore approaches for improving students' mathematical learning outcomes in relation to the base ten number system. The project explored the role of a commonly used teaching activity, referred to in the project as the "base ten game," in developing children's…

A study explored the effectiveness of an instructional approach designed to help students establish connections between their understanding of the decimal system and the stardard symbols and procedural rules used to solve decimal problems. Ten children each in grades 4 through 6 participated. They were individually interviewed prior to and six…

This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in this booklet include graphing on a number line, place value, using exponents, flow charts, and Roman numerals. (MK)

This teacher-prepared Learning Activity Package (LAP) for individualized instruction in topics in pre-algebra covers the natural numbers, whole numbers, and integers. The unit contains a rationale for the material, a list of behavioral objectives, a list of resources including texts (with reading assignments and problem sets specified) and tape…

Behavioral objectives are listed for the primary, intermediate and junior high mathematics curriculum in the Mesa Public Schools (Arizona). Lists of specific objectives are given by level for sets, symbol recognition, number operations, mathematical structures, measurement and problem solving skills. (JP)

A set of ten teacher-prepared Learning Activity Packages (LAPs) for individualized instruction in topics in pre-algebra, the units cover the decimal numeration system; number theory; fractions and decimals; ratio, proportion, and percent; sets; properties of operations; rational numbers; real numbers; open expressions; and open rational…

This fifth unit in the SMSG junior high mathematics series is a student text covering the following topics: rational numbers and coordinates; equations; scientific notation, decimals, and the metric system; constructions, congruent triangles, and the Pythagorean property; relative error; and real numbers. (DT)