In an effort to repsond to Dan's concern over discussion of the standards I have taken it upon myself to try and focus us on some specifics.
Standard 1: K-4 Mathematics as Problem Solving
In grades K-4, the study of mathmatics should emphasize problem solving so that students can- Use problem-solving approaches to investigate and understand mathematical content: Formulate problems from everyday and mathematical situations; develop and apply strategies to solve a wide variety of problems; verify and interpret results with respect to the original problem; acquire confidence in using mathmatics meaningfully.
"Basic subtraction facts also can be presented in a problem-solving setting."
Anyone having any problems with this?
Standard 1: 5-8 Mathematics as problem solving
In grades 5-8 the mathematics curriculum should include numerous and varied experience with problem solving as a method of inquiry and applicaiton so that students can - Use problem-solving approaches to investigate and understand mathematical content: Formulate problems from situation within and outside mathematics; develop and apply a variety of strategies to solve problems, with emphasis on multistep and nonroutine problems; verify and interpret results with respect to the original problem; generalize solutions and stratefies to new probme situations; acquire confidence in using mathmatics meaningfully.
How about this one? Any big problems here?
Standard 1: 9-12 Mathematics as Problem Solving
In grade 9-12 the mathematics curriculum should include the refinement an destension of methods of mathematical problem solving so that all students can- Use with increasing confidence, problem-solving approaches to investigate and understand mathematical content; apply integrated mathematical problem-solving strategies to solve problems from within and outside mathematics; recognize and formulate problems from situations within and outside mathematics; apply the process of mathematical modeling to real-world problem situations.
How are we doing? Any big problems here? Unfortunately I have not yet developed the subtle questioning abilities of Ron Ward, but a discussion focussing around the standards could definitely begin by discussion any disagreements regarding these statements or the discussion statements that follow in the document. :-)