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Teaching Methods5 min read

Teaching Math Word Problems: Moving Beyond Keywords

Keywords Do Not Work

For years, teachers taught students to look for keywords in word problems: "altogether" means add, "left" means subtract, "each" means multiply. This approach fails because problem writers do not follow these rules, and it teaches students to avoid understanding the problem.

What Works Instead

Understand the Situation -- Before doing any math, students should understand what is happening in the problem. "Tell me this story in your own words." If they cannot retell the situation, they cannot solve the problem.

Numberless Word Problems -- Present problems without numbers first. "Sam had some apples. He gave some to his friend. How many does he have now?" Focus on the situation and operation before adding numbers.

Act It Out -- Use physical objects or drawings to model the problem. This makes abstract situations concrete.

Bar Models -- Visual representations (tape diagrams or bar models) show the relationship between quantities. They work for addition, subtraction, multiplication, division, fractions, and ratios.

Three Reads Strategy

  1. First read: What is the problem about? (no numbers)
  2. Second read: What quantities are involved?
  3. Third read: What is the question asking?

Types of Word Problems

Teach the different problem types explicitly:

Join Problems -- Starting amount + added amount = result

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Separate Problems -- Starting amount - removed amount = result

Compare Problems -- One amount compared to another (how many more/fewer)

Equal Groups -- Groups x items per group = total

Array Problems -- Rows x columns = total

Students need experience with all types, including problems where the unknown is in different positions (result unknown, change unknown, start unknown).

Practice

Give students lots of practice with varied problem types. Do not just assign problems at the end of the chapter -- integrate word problems into daily instruction.

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