Algebra by Marco Abate

By Marco Abate

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Depending on the activity, older students may need a structured recording sheet as well. Sometimes a little structure keeps the students focused on the lesson and on the math at hand. The Foundation of All Math Learning: Representations of Early Number Concepts Misconceptions, Pitfalls, and Difficulties Associated with Tool Use As pointed out in the initial conversation, young children are content with the notion that they could arrive at a different answer by using different tools to solve a problem.

6. More supportive recording sheet for doubles plus one with individual space students can color. This allows them to clearly see relationships. 7. In response to the following problem: My book has 48 pages. My partner’s book has 78 pages. How many more pages does my partner’s book have than mine? Comprehension Check ■ What are some advantages of letting students choose their own tool to solve a problem? When might you want to direct the tool the students use? ■ What are the steps in moving your students from directly modeling a problem with tools to solving it abstractly with an algorithm?

Now imagine this task: A miniature checkerboard has six rows of five squares each. How many squares in all? It would be surprising if at least one child did not create the following representation. Special Needs Inviting children to show their thinking in concrete ways is a powerful means of reaching many children who possess processing difficulties. Language Tip Inviting children to show their thinking in multiple ways is a recommended pedagogy for dealing with English-language learners. Representation of 6 ϫ 5 using an array.

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