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The report is a translation of part of a Swedish paper entitled “On Students' Achievement in Mathematics after Finishing Comprehensive School”. The intention of the investigation was to

  • - diagnose the retention of some basic skills in some topics in algebra and geometry,
  • - reveal difficult steps in the learning processes in these topics.
  • Starting with a complicated question, e.g. the equation \(\frac{{3x - 2}}{2} = \frac{x}{3}\) a sequence consisting of 5–15 problems were constructed. Each new problem followed by the preceding one by taking away one or two details. \(\begin{gathered} 3(3x - 2) = 2x \\ {\text{ 9}}x - 6 = 2x \\ {\text{ 7}}x - 6 = 0 \\ {\text{ 7}}x = 6 \\ \end{gathered} \) is an example of a sequence belonging to the equation above. From about 10 complicated problems (“top-items”) and their sequences, in all 130 items, 10 sub-tests were put together in such a way that the pupils who took the test were not aware of the sequences but found no connection between the problems. Many surprising results were found, e.g., that the students scored higher on 14/(x+2)=2 than on 4/x=3, that the difficulty in finding the area of a triangle depended on the position of the triangle and that the problems “Simplify a/a 2, a2/a, a/a” were of quite unequal difficulty. A discussion about the students' thinking in patterns and mechanically learning ends the report.  相似文献   
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    This survey presents the essentials of a study concerning problem solving ability in children aged 12–13. It forms part of a large project concerning the impact of calculators and computers in school mathematics and the consequences for certain basic abilities. The contents of the survey are in brief:
  • ? definition of problem solving ability;
  • ? test construction;
  • ? interviews;
  • ? supplementary investigations.
  •   相似文献   
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    Recent developments in the field of causal analysis make it possible to test theoretically or empirically based models. The study reported applies the method of path analysis to the problem of predicting the achievement, the drop out rate and satisfaction of university students. Besides providing explanations of the problems investigated the technique indicates what remedial measures might be used.Thanks are due to J.-B. Lohmoeller for comments on an earlier version of this article, and to O. Wimderlich for computational assistance.  相似文献   
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    一、引言 1990年9月7日通过的中华人民共和国着作权法,已经两度修改:第次修改稿於2001年月27日通过,最近的第二次修改稿,  相似文献   
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