Presents activities using the Three Pigs to increase students' understanding of addition and subtraction. Argues that addition and subtraction are something that students can view and participate in when using the Three Pigs instead of just the manipulation of numbers. (ASK)

Describes second graders' responses to finding the sum of the numbers from 1 through 10 after reading the book, Ten Black Dots. Includes student work demonstrating their problem solving. (MKR)

Presents an activity involving students in a research project with pictures like those commonly found in elementary school mathematics textbooks and workbooks to sharpen student appreciation of the need for standardized methods of data collection. Illustrates that several different interpretations of the operations of addition and subtraction are…

First-grade children mastered 72 of 100 addition facts by the middle of the grade, with mastery being defined as a two-second response to a given addition fact. A sequence of activities is presented that serves as an outline of the approach taken. (JN)

How the manipulative aid called the "10 frame" can be used to teach the number combinations for 10, the addition facts that bridge 10, and the place value nature of our number system is described. (MNS)

Instructions and exercises on the use of checking accounts are provided for students in grades 6-12. The following topics are included: (1) reasons for opening a checking account; (2) how to open a checking account; (3) how to fill out deposit slips; (4) the elements of a check and how to write a check correctly; (5) checking account rules; (6)…

Specific instruction in different contexts provide needed background for solving addition and subtraction problems. The categories of problems and relative difficulties are presented, followed by an explanation of a successful instructional sequence. (MNS)

Presents activities involving the addition of antinumbers (which uses novel numerical characters); a puzzle which combines practice in working with polynomials and solving simple equations with intriguing facts about turkets; and searching for the number of different right triangles in a given square grid (which helps develop spatial…

Deriving all Pythagorean triples from simple patterns within an addition table is presented, with formulas included. (MNS)

Problems based on shopping experiences are presented on two posters. Children practice estimation and computation with addition and subtraction. (MNS)

Twenty-seven supplemental lessons for primary students involving mathematical thought problems on addition, subtraction, and comparison (e.g., greater than and less than) are presented. Each of the lessons contains 10 or more problems which students either hear or read and then respond to either orally or on written answer sheets. The materials in…

The author argues that children not only can but should create their own computational algorithms and that the teacher's role is "merely" to help. How children in grades K-3 add and subtract is the focus of this article. Grouping, directionality, and exchange are highlighted. (MNS)

Three activities and patterns involving the addition table are described, each involving pentagons. (MNS)

Five-frames are proposed as manipulative material to increase children's ability to identify the number of objects without direct counting. How to use frames and beansticks to construct basic facts without counting is discussed. (MNS)

Described is a study in which three instructional approaches were applied in second grade classes. Discussed are proportional materials, nonproportional materials, nonproportional materials with pictorial models. Findings, results, and recommendations are presented. (CW)