In this paper we analyse the introduction of irrational and real numbers in secondary textbooks, and specifically the propositions on how these should be taught, in a sample of Brazilian textbooks used in state schools and approved by the Ministry of Education. The analyses discussed in this paper follow an institutional perspective (using…

An algorithm for error control (absolute and relative) in the five-point finite-difference method applied to Poisson's equation is described. The algorithm is based on discretization of the domain of the problem by means of three rectilinear grids, each of different resolution. We discuss some hardware limitations associated with the algorithm,…

In order to give insights into cross-national differences in schooling, this study analyzed the development of multiplication and division of fractions in two curricula: "Everyday Mathematics" (EM) from the USA and the 7th Korean mathematics curriculum (KM). Analyses of both the content and problems in the textbooks indicate that…

Many sets of state and national mathematics standards have come and gone in the past two decades. The Common Core State Mathematics Standards (CCSMS), which were released in June of 2010, have been adopted by almost all states and will be phased in across the nation in 2014. The main difference between these standards and most of the others is…

This textbook is the third in the arithmetic series developed by the Ministry of Education in Saigon and used in all public schools in Vietnam. The books in this series have been reprinted in their entirety from the original editions, for use in elementary schools in the United States which have Vietnamese students. The Grade 3 text is divided…

This textbook is the first in the arithmetic series developed by the Ministry of Education in Saigon and used in all public schools in Vietnam. The three books in this series have been reprinted in their entirety from the original editions for use in elementary schools in the United States which have Vietnamese students. The Grade 1 text contains…

This book is designed to introduce the reader to some fundamental ideas about probability. The mathematical theory of probability plays an increasingly important role in science, government, industry, business, and economics. An understanding of the basic concepts of probability is essential for the study of statistical methods that are widely…

In this text, the writers have relied on the SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Chapters 5 through 10 are included in this part. Chapter topics include: (5) Recognizing Geometric Figures; (6) Place Value and Numeration; (7) Addition and…

This volume was prepared by the School Mathematics Study Group (SMSG) to help elementary teachers develop a sufficient subject matter competence in the mathematics of the elementary school program. Background material for related SMSG materials for grades four through eight are included. Chapters in the book are: (1) What is Mathematics; (2)…

This student discussion guide is intended to accompany "Explorations in Mathematics," a text for teachers. The materials in this booklet relate mainly to variables, graphs, signed numbers, logic, identities, functions and matrices. The materials were designed to be used as supplementary materials with students in grades 5 through 9. (RP)

This is a SMSG inservice textbook for primary school teachers. One of the goals of the book is to promote the teaching of mathematics in accord with a conceptual development of mathematical ideas. The authors indicate that rote learning is frequently considered the only way to learn mathematics, especially for culturally deprived children. A…

This textbook is based on the SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Chapters in the book include: (1) Sets and Numbers; (2) Numerals and the Number Line; (3) Sets of Ten; and (4) Introduction to Addition and Subtraction. The student text contains a…

This text was written for junior high school teachers who wish to have more mathematical background on number systems. It is particularly useful for teachers who teach SMSG materials at grades 7 and 8. Chapters included are: (1) Introduction; (2) Numeration; (3) The Whole Numbers; (4) Divisibility and Properties of Whole Numbers; (5) The…