- The student understands the overall goal of the procedure and can predict or estimate the outcome.
- The student understands how to carry out the procedure and knows alternative methods and representations of the procedure.
- The student understands and can communicate to others why the procedure is effective and valid.
- The student understands how to evaluate the results of the procedure by invoking connections with a context, alternative procedures, or other mathematical ideas.
- The student understands and uses mathematical reasoning to assess the relative efficiency and accuracy of the procedure as compared to alternative methods.
- The student understands why the procedure empowers him or her as a problem solver.
These are many of the goals I am trying to achieve with your son and/or daughter. You can help your son and/or daughter reach these goals through the use of questioning. While they are working on homework or studying try asking them some of the following questions:
- What sort of answer should you expect?
- Why does the procedure (method you chose to use) work or not work?
- Is the method you chose the best to use?
- How do you know the answer is correct?
- What other types of problems could you use your method to solve?
- How do you use what you know to solve what you don't know?
- Is there a pattern you can use to help you solve the problem or other problems like it?
- Why is it important to show your work and/or evidence of your solution?
The goal of recent changes in mathematics is to make our children more successful as adults. With a better understanding of the reasoning behind the math, it is my belief that we will better prepare our students to be career and college ready.
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