This article contributes to the research literature concerning prospective elementary teachers' mathematical thinking and learning with a focus on flexibility. We present a case study of a prospective elementary teachers' development of flexibility in mental addition and subtraction during a Number and Operations course. Building upon the…

Monsters are used as an example to illustrate that multiplication of the natural numbers is associative. (JT)

A general method and a variant for divisibility are presented, with specific examples. (MNS)

A math strategy using an "add-card" which illustrates simple addition facts was originally developed for learning disabled students but was also successfully used with mildly retarded students. (CL)

A solid understanding of equivalent fractions is considered a steppingstone towards a better understanding of operations with fractions. In this article, 55 rural Australian students' conceptions of equivalent fractions are presented. Data collected included students' responses to a short written test and follow-up interviews with three students…

Tests for divisibility in bases 2 through 10 are presented. Two strategies used by a group of fourth-year students are described. (MNS)

"Chisanbop" is a Korean word which means finger calculation method. It is based on the Korean abacus, and its emphasis is on fives. By using Chisanbop techniques, one can add, subtract, multiply, and divide large numbers. Chisanbop can be taught most effectively to large groups in the second grade. (JN)

This is the Teacher's Commentary for Mathematics for the Elementary School, Book 1 (Part 2), Special Edition. The writers have relied on the existing SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Included in the Commentary are background information for the…

Playing with number patterns can lead students to discover some divisibility tests. (JT)

A calculator activity, described as a bingo game, emphasizes speedy calculations as well as problem solving. (JT)

Comparison of elementary grade students with (N=42) or without (N=42) learning disabilities (LD) on their logical-mathematical structures of thought found that, though both groups generated grouping relationships, children with LD tendered to generate solutions showing less coordinated structures of thought. For both groups, scores on the…

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 is the Teacher's Commentary for Mathematics for the Elementary School, Book K, Special Edition. The writers have relied on the existing SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Included in the Commentary are background information for the teacher,…

A mathematics teacher who avoided students' questions about zero, notes that children are able to interpret this concept and any system of numeration in a language that they have made up and can understand. (AM)