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How to Teach Math Without Algorithms

Early math lessons that children are taught generally don't involve mathematical algorithms. An algorithm is just a fancy word for a math formula. Instead teachers in preschool and kindergarten focus on using math manipulatives to teach children the basic concepts of counting, grouping, adding and subtracting. Even multiplication and division can be taught using math manipulatives. However, the use of manipulatives only goes so far. Eventually, children will have to learn mathematical algorithms in order to function in modern society.

Things You'll Need

  • Math manipulatives
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Instructions

    • 1

      Obtain different sets of math manipulatives for your classroom. Some commonly used math manipulatives are base 10 blocks, Unifex cubes, fraction circles and 1-inch blocks. Base 10 blocks come in different sizes. The blocks are split into multiples of 10 for multiplication and division. Unifex cubes are plastic cubes that connect together. They come in many colors and are used for basic arithmetic. Fraction circles are circular objects with removable pieces, similar to pies, for learning fractions. One-inch blocks are blocks that measure an inch on all sides and are used for measurements or basic arithmetic. These math manipulatives allow students to visualize math with concrete objects.

    • 2

      Bring out the math manipulatives during math lessons. Allow the students to become familiar with the manipulatives by playing with them for three to five days before you try teaching them math with the manipulatives. Explain why and how the manipulatives will help them learn math. Tell the children that the manipulatives aren't toys, but tools to help them learn math. Ask students how they think the manipulatives will help them learn math. Also, give the students examples how the manipulatives work while they play.

    • 3

      Use the math manipulatives to help children learn basic adding and subtracting skills. For example, give a student two red blocks and three blue blocks and ask how many blocks they have. You can also take away blocks and ask them how many blocks are left, or you can ask students to divide a number of blocks among groups of students.

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