Games for Early Number Sense Contents and Overview
Minilessons for Early Addition and Subtraction Contents and Overview
Minilessons for Extending Addition and Subtraction Contents and Overview
Games for Early Number Sense contains 24 games that you can choose from as you consider the needs of your students. The unit includes notes for each game describing the mathematical landscape-the possibilities and openings for learning that can occur as children play. Sample dialogues are interspersed throughout to help you anticipate what learners might say and do and to provide you with images of teachers and children at work. The games foster the development of early number sense and addition, including the basic facts, and are appropriate for K-1.
Minilessons for Early Addition and Subtraction is a resource of 78 minilessons that you can choose from throughout the year. In contrast to investigations, which constitute the heart of the math workshop, the minilesson is more guided and more explicit, designed to be used at the start of math workshop and to last ten to fifteen minutes. Each day, no matter what other materials you are using, you might choose a minilesson from this resource to provide your students with experiences to develop efficient computation. You can also use the minilessons with small groups of students as you differentiate instruction.
The minilessons in this guide were designed to be used in grades 1-2. Some of the minilessons make use of quick images with pictures. We call these "billboards." They are carefully designed pictures that support the development of important strategies for addition and subtraction by building in potentially realizable strategies or constraints. Flashed for only a few seconds, they encourage children to give up trying to count each item and instead to use their natural ability to subitize-to perceive small amounts (such as 2, 3, or 4) as units and use them. In this way, children are supported to count on, skip-count, use doubles, and make use of the five-structure. Other minilessons in this resource unit make use of the arithmetic rack. Still others use ten-frames and coins (such as dimes and quarters) to encourage children to recognize and use landmark numbers (tens and twenty-fives) as they calculate. No matter which tool is used-billboards, the arithmetic rack, ten-frames, or coins-each minilesson is crafted as a tightly structured series, or "string," of computation problems designed to encourage children to look to the numbers first, before they decide on a computation strategy. The strings are likely to generate discussion of certain strategies or big ideas underlying an understanding of early number sense, addition, and subtraction.
Minilessons for Extending Addition and Subtraction can be helpful in grades 2-3 as you work with addition and subtraction beyond the basic facts. These minilessons are crafted with computation problems that, when placed together, are likely to generate discussion of certain strategies or big ideas that are landmarks on the landscape of learning for addition and subtraction, particularly with two and three digits. The guide contains approximately 75 minilessons, structured as strings of related problems.
Although the emphasis is on the development of mental arithmetic strategies, this does not mean learners have to solve the problems in their heads-but it is important for them to do the problem with their heads! In other words, as you use this guide, encourage students to examine the numbers in each problem and think about clever, efficient ways to solve it. The relationships between the problems in the minilesson will support them in doing this. The open number line is used throughout to represent student strategies.