These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software.
So the results reporting section is critically important for evaluating whether the hypothesis is supported.
Role-playing and simulations are especially appreciated by SPs and SJs, who generally take a more practical approach to problem solving.
An outsider coming in to redesign the process may be able to look at things from a fresh perspective, but will be ill-positioned to fully grasp all the subtleties, issues, and concerns simply because they have not lived it.
Brainstorming potential theories for improvement, a process management team in this case came up with a theory about addressing this issue.
Mathematically proficient students make sense of quantities and their relationships in problem situations.
Mathematics Appendix A.
Inspiring improvement can be greater.
They try to use clear definitions in discussion with others and in their own reasoning.
You can simply write them down in linear fashion, write having sex on top down on a mind map, enter them onto a computer document such as Microsoft Word or OpenOffice or use a specialized software for idea generation.