Math worksheets don't promote critical thinking _ Math worksheets rarely ask students to think critically or creatively. They usually present multiple examples of the same problem type with the hope of reinforcing a skill or procedure. They do not challenge students to use higher order thinking skills such as comparing, analyzing, deducing, and synthesizing. These skills are built through activities in which students discover concepts, explore ideas, test a hypothesis, solve a problem, and discuss their thinking with their peers. Exploring concepts and problems in many different ways builds interest and promotes critical thinking.
There are some new materials being developed now based on what we are learning about how the brain learns. These brain_friendly materials should be an improvement over what has existed. I recently bought a book by Marcia L. Tate titled "Mathematics Worksheets Don't Grow Dendrites." I highly recommend her book. She gives a great deal of information on alternative activities that are better for your child's brain development and for learning.