ratio

Another way to introduce ratios: develop relative thinking

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One of the most important things students need to understand to reason proportionally is the difference between comparing two quantities in relative (multiplicative) versus absolute (additive) terms.   Students often struggle with making the move to thinking multiplicatively. How can we begin to help them make this transition? The research suggests one way: Make the two …

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One way to introduce ratios so they make sense to students

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We know that students struggle with understanding ratios and reasoning proportionally. The cross-multiply algorithm doesn’t make sense to them. What can we do to help ratios make sense to students? Whenever I’m thinking of how to introduce a new concept, I like to start by thinking about what students already know that can be built …

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