This article presents a sequence of learning activities that lead to using the area model of multiplication to understand the distributive property (DP). The connection between area and multiplication is an important one, both for algebraic thinking and for geometry, as indicated in two of the critical areas for the third grade in the Common Core…

This paper focuses on an implementation a sequence of instructional activities about addition of fractions that has been developed and implemented in grade four of primary school in Surabaya, Indonesia. The theory of Realistic Mathematics Education (RME) has been applied in the sequence, which aims to assist low attaining learners in supporting…

Directions are given for preparing a puzzle that may be used to provide practice in computation. (MP)

Four activities concerning addition and subtraction are described. They range in appropriate grade level from K-2 (crossing out objects) to 6-8 (solving decimal inequalities). Masters for worksheets are provided. (SD)

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)

This manipulative model using counters involves balancing the number of counters on either side of the equals sign. (MP)

Practice in adding single digits is provided by puzzles called Totalines. The Magic Pentagram and Hexagram and the Distance Chart extend the addition practice. (MNS)

Addition and subtraction of integers can be approached through the use of chips of two colors. (SD)

Magic squares are used to generate number games similar to tic-tac-toe. Skills that are reinforced include addition of negative numbers and addition and multiplication of fractions. (MP)

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)

Suggested activities involving number patterns, using the idea of a number machine." (MM)

This book contains a variety of worksheets to teach and reinforce addition skills. Secret codes, magic squares, pyramids, coloring activities, and dot-to-dot challenges are included to motivate students. A two-page test of basic addition facts is provided, with the suggestion that the teacher time the test and give it repeatedly to assess…

Recent research has provided a reasonably coherent picture of how children learn to add and subtract. There is clear evidence that children do not learn simply by mastering a procedure and storing in memory. Instead, learning is structured in meaningful ways, connected to previous knowledge, and adapted to new contexts. This view of learning has…