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Playing "logical" games with your child helps them develop critical thinking skills needed for math and reading success. Analogies are just a comparison of two things. These analogy games promote making connections and seeing patterns.
Here are a few quick suggestions to get started. Say:
Once you get into the game it can be fun for the child if the adult answers incorrectly, then let the child make the correction. (For example, the adult might say "Barking is to dogs like Meowing is to ...Fish!!!" ) Your child should immediately say, "No, no!! A cat meows, not a fish!"
My students love doing these activities and often go on to create their own! With patience and practice you will help your child build logic, reasoning, and problem solving skills.