Relational Thinker +/-

Recognizes and uses patterns that involve addition and subtraction and, understanding equality, can compare two sides of a number sentence with reasoning, and thus does not have to carry out computations. In functional thinking, creates functional relationships between two data sets but only for specific cases. May use letters to represent numbers, but only as representing objects or fixed values.

Activities

You may see this:

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Other Examples:

  • A child recognizes 3 + 6 - 3 = 6 as a true statement without performing computations.
  • Given a situation involving two data sets, relates the columns in a t-chart but only for one row at a time.

Help your student become a(n) Relational Thinker +/-

Problems and activities challenge children to create, use, and justify patterns in artithmetic . For example, children may solve a problem such as 7 + _ = 8 + 4 not (just) with computation but with reasoning: "I saw 8 is one more than 7, so to balance the two sides you have to add 5." Discussions (math talk) are important, among children and with the whole class.

Special Thanks To

Institute of Education Sciences
The research reported here was supported by the Institute of Education Sciences, U.S. Department of Education, through grant numbers R305K050157, R305A120813, R305A110188, and R305A150243. to the University of Denver. The opinions expressed are those of the authors and do not represent views of the Institute or the U.S. Department of Education.