A proposal is made that teachers integrate the various forms of the four operations of addition, subtraction, multiplication, and division in a concrete way, rather than teaching the topics sequentially. (DT)

Procedures for using a calculator to check addition and subtraction problems in bases less than 10 are described. (SD)

The representation of equivalent fractions is traditionally illustrated by diagrams showing division of units into parts. A second approach using linear graphs is suggested. (SD)

This is part one of a two-part SMSG elementary school text for fifth-grade students. The content is aimed at the development of some of the fundamental concepts of mathematics such as number, numeration, the operations of arithmetic, and intuitive geometry. Chapter topics include extending systems of numeration, factors and primes, extending…

Instruction on properties of whole numbers, the meanings of operations on whole numbers, symbolic representation and algorithms for completing these operations is discussed. Many activities appropriate to each of these topics, and suitable for primary school children, are presented. (SD)

A series of activities designed to help primary school children understand the meaning of the term "fraction," the symbolization, and equivalence of fractions are presented. Identification of units and pictorial representation are stressed, as is the uses of concrete materials. (SD)

Algorithms for the four basic operations on whole numbers are described; these algorithms provide for sequential recording of all steps in the operations. (SD)

A model for multiplication is described and used to discuss the properties of division. (SD)

The development of number concepts from conservation through order and place value notation is discussed in the context of applications to classroom instruction. Activities designed to motivate, build, and reinforce these concepts are described, and a list of objectives is presented in the form of a suggested progress record. (SD)

Limited systematic instruction was provided for two third-grade classes on a calculator-assisted approach to solving selected types of simple open addition and subtraction sentences involving three-place whole-number addends, moving from a Guess-and-Test procedure to more direct and efficient sentential transformations. Pupils exhibited a…

This volume presents a partial description of the lessons in the preliminary version of the PLATO fractions curriculum. Each lesson has three parts: review, new material, and a student-selected option. Students receive immediate feedback from the computer as they progress through each lesson. Five groups of lessons are described: meaning of…

The design, results, and conclusions of a study to determine the feasibility of interrelating the four basic operations with young children are reported along with implications for curriculum and instruction. (MP)

This is part one of a two-part SMSG mathematics text for elementary school students. One of the goals of the text is the development of mathematical ideas via appropriate experiences with things from the physical world and the immediate environment. The text materials provide an introduction to the study of mathematics in which growth is from the…

This is part two of a two-part SMSG mathematics text for elementary school students. One of the goals of the text is the development of mathematical ideas via appropriate experiences with things from the physical world and the immediate environment. The text materials provide an introduction to the study of mathematics in which growth is from the…

This is part two of a two-part SMSG elementary school text for third-grade students. The development of mathematical ideas in the text is grounded in appropriate experiences with things from the physical world and the immediate environment. Chapter topics include: (1) addition and subtraction; (2) length and area; (3) multiplication; (4)…