My 3-year-old daughter really loves numbers, so we read number books together all the time. She can already count to 50. What should she learn next? Should we be teaching her to add? -- Mathematically Inclined
What your young child has learned to do is to count rotely. This is good because she has learned the names of the numbers, and they can be used later on to describe quantities, such as four cats and seven cookies.
The next step is for your child to learn how to count sets (collections of things that belong together). This is not an easy task and requires considerable practice. Ultimately, you want your child to be able to look at a group of three pencils, three books or three apples and know that they can all be described by the number 3. Or if you show her a group of nine balls, you want her to be able to make three groups of three.
The rewarding part of teaching your child how to count sets is that it can be done through activities that are fun to do -- thus showing your child that working with numbers is an enjoyable thing to do. Here are some suggestions:
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