If the Standards propose both individual and group learning, but the stress is on group work, then the Calif. Framework talks about group learning as the only approved way to teach. If the Standards call for decreased attention on computation skills, then they are completely gone from the Calif. Framework. If the Standards call for stressing mathematical communication, and mentions only in passing that mathematical symbolism is preferred, then the Calif. Framework is already using English as the language of mathematical communication, and mathematical symbolism is gone. Another danger occurs when the Standards are careless and make statements that are not supported by research, or when they ignore teaching and school realities. New Goals for Students.
HOLD suggests the order be reversed.
The most important thing is learning mathematics, not appreciating mathematics. Reasoning vs. Results. While nobody would argue with this principle, good reasoning is notably difficult to assess. The goals of learning mathematics should be clarified. Change has been particularly great in the social and life sciences.