Читать книгу Mathematize It! [Grades 6-8] - Kimberly Morrow-Leong - Страница 20

As we discussed earlier, learning to mathematize word problems to arrive at solutions requires time devoted to exploration of different representations with a focus on developing and drawing on a deep understanding of the operations. We recognize that this isn’t always easy to achieve in a busy classroom, hence, the appeal of the strategies mentioned at the beginning of the chapter. But what we know from our work with teachers and our review of the research is that, although there are no shortcuts, structuring exploration to focus on actions and relationships is both essential and possible. Doing so requires three things:

1 Teachers draw on their own deep understanding of the operations and their relationship to different word problem situations to plan instruction.

2 Teachers use a model of problem solving that allows for deep exploration.

3 Teachers use a variety of word problems throughout their units and lessons, to introduce a topic and to give examples during instruction, not just as the “challenge” students complete at the end of the chapter.

In this book we address all three.