Postano: 7:57 pet, 24. 10. 2008
) i postanje vlastitih citata su dobrodosli.
| Citat: |
| It is a profoundly erroneous truism, repeated by all copy-books and by eminent people when they are making speeches, that we should cultivate the habit of thinking of what we are doing. The precise opposite is the case. Civilization advances by extending the number of important operations which we can perform without thinking about them. Operations of thought are like cavalry charges in a battle - they are strictly limited in number, they require fresh horses, and must only be made at decisive moments. |
Postano: 0:31 ned, 26. 10. 2008| Citat: |
| The place of algorithms in school mathematics is changing. One reason is the widespread
availability of calculators and computers outside of school. Before such machines were invented, the preparation of workers who could carry out complicated computations by hand was an important goal of school mathematics. Today, being able to mimic a $5 calculator is not enough: Employers want workers who can think mathematically. |
| Citat: |
| Talking about why a method works, whether a method will work in every case, which
method is most efficient, and so on, helps students understand that mathematics is based on common sense and objective reason, not the teacher’s whim. |
| Citat: |
| Algorithmic and procedural thinking includes:
• understanding specific algorithms or procedures provided by other people, • applying known algorithms to everyday problems, • adapting known algorithms to fit new situations, • developing new algorithms and procedures when necessary, and • recognizing the limitations of algorithms and procedures so they are not used inappropriately. |
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