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Peter Waycik Profile and Articles
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1). Learning Math With Manipulatives - Base Ten Blocks (Part III)
In the first two parts, representing, adding, and subtracting numbers using base ten blocks were explained. The use of base ten blocks gives students an effective tool that they can touch and manipulate to solve math questions. Not only are base ten blocks effective at solving math questions, they teach students important steps and skills that translate directly into paper and pencil methods of solving math questions.
2). Flexible Estimation in Math
Adults use rounding and estimation in their everyday lives. They approximate the temperature, the cost of items, the time, and even their age. Consider this conversation:
"How much did it cost to fix your car?"
"Six hundred bucks!"
Without any words such as: about, approximately, around, roughly, or nearly, it can be assumed that the second person rounded the actual cost.
3). Can You Draw a Perfect Hexagon?
It may not sound like a difficult task, but constructing hexagons and other polygons can be a frustrating and daunting task for children and adults. A sketch of a square is fairly simple to make as the corners are familiar right angles that most people have no trouble creating. Every other regular polygon from equilateral triangles to dodecagons and beyond can be a challenge without a highly developed ability to recognize and construct a variety of angles.
4). Learning Math With Manipulatives - Base Ten Blocks (Part I)
Base ten blocks are an excellent tool for teaching children the concept of addition because they allow children to touch and manipulate something real while learning important skills that translate well into paper and pencil addition. In this article, I will describe base ten blocks and how to use them to represent and add numbers.
The numbering system that children learn and the one most of us are familiar with is the base ten system.
5). Learning Math With Manipulatives - Base Ten Blocks (Part II)
In part one of this article, you read about representing and adding numbers using base ten blocks. Once these two skills are mastered, it is time to move onto many a child's nightmare: subtraction. Subtraction, as you may have heard, is essentially addition in reverse. It can be an arduous task on paper, but it can be quite easy with base ten blocks.
6). Adding From Left to Right -- A Better Way to Add
More than likely, when you learned how to add, you started on the right and moved to the left. If you were adding whole numbers, you added the ones, "carried" if necessary, and repeated for the tens, hundreds and so on. This works well on paper, and it is the most efficient paper and pencil method; however, adding in the other direction has several.
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