A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW qInformation Technology and Mathematical Problem Solving Researchq, held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a qchaotic fieldq in which progress has been quite slow.In: The teaching and assessing of mathematical problem solving (R. Charles aamp; E. Silver, eds.), pp. ... T., Hiebert, J., aamp; Moser, J.: Problem structure and first grade childrena#39;s initial solution processes for simple addition and subtraction problems.

Title | : | Mathematical Problem Solving and New Information Technologies |

Author | : | Joao P. Ponte, Joao F. Matos, Jose M. Matos, Domingos Fernandes |

Publisher | : | Springer Science & Business Media - 2013-06-29 |

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