堪培拉代写assignment:数学问题的复杂性

2017-07-27 19:00

歪了的问题，用以说明周围的字问题的复杂性。第一个问题是：常太太买了五部录像带，费用相同。如果她花了35英镑，并各带多少钱？第二个问题是：常先生买了一些带子，每个池塘要花费7个池塘。他买了多少录音带？第一个问题是儿童更容易解决，因为他们可以用手指作为一个数字的磁带号码。符号的使用支持儿童的思维在纯粹的数学背景，使他们能够到达的试验和改进技术的答案（参考）。研究结果表明，儿童的广泛使用非正式的策略来解决问题（参考）。然而，仅仅使用模型是不够的，许多儿童解决一个字的问题。这是因为单词问题要求孩子们在真实世界背景和数学世界之间进行翻译，然后再回来。在物理世界和数学世界之间转换是困难的，因为这两个世界之间存在不匹配。当老师意识到这个问题时，它提供了一条前进的道路。在上面的例子中，应该让孩子们比较问题，以便帮助他们更深刻地理解解决这些问题的复杂性。孩子们也应该被帮助分类单词问题，以便帮助他们理解结构上的相似性和差异。分类问题要求孩子以推理能力使他们概括特定类别的问题解决策略。
堪培拉代写assignment:数学问题的复杂性
 Askew gives two questions that are used to demonstrate the complexities surrounding word problems. The first question is: Mrs. Chang bought five video tapes that cost the same amount. If she spent 35 pounds, how much did each tape cost? The second question is: Mr. Chang bought some tapes that cost 7 ponds each. How many tapes did he buy? The first question is easier for children to solve because they can use fingers as a symbol of the number of tapes. The use of symbols supports the children's thinking within the purely mathematical context and enables them to arrive at an answer by trial-and-improvement techniques (reference).Research findings show that children make use of a wide range of informal strategies to solve word problems (reference). However, mere use of models is not sufficient for many children to solve a word problem. This is because word problems require children to translate between the real world context and the world of mathematics and back again. Switching between the physical world and the mathematical world is difficult because there exists a mismatch between these two worlds. When the teacher is made aware of this issue it provides a way forward. In the example above, children should be asked to compare the problems in order to help them appreciate more deeply the complexities of solving such problems. Children should also be helped to categorize word problems in order to help them appreciate structural similarities and differences. Categorising problems will require children to use reasoning skills in order for them to make generalisations about solution strategies for particular classes of problems.

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