By Peter L Duren; Richard Askey; Uta C Merzbach; Harold M Edwards
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Students develop a sense of the power of mathematics. Students see value in learning mathematics. Students learn how to ask questions about a task or problem To foster a questioning culture it is important to make sure students know this is valued and, therefore, must be explicitly encouraged. One way I have developed this approach has been to set up a situation and then asked students, perhaps working in pairs, to generate some questions they could ask about the situation or about the resource.
And pay back on the doorstep' (this meant writing a small 1 on the bottom line next to the 8 in the T column). Step 4: 7 from 13 (now counting on fingers 8, 9, 10, 11, 12, 13)... ' Step 6: '9 from 5 you cannot do so borrow one (1) from the top (that is borrowing from the 9 in the H column, thus making the 5 in the T column into 15). Step 7: '... and pay back on the doorstep' (thus writing a small 1 next to the 6 in the H column. Step 8: (now working in the hundreds column): 'Add the 1 to the 6 to make 7..
So for these two shapes, while the area is constant (30cm2) their perimeters are different (26cm and 22cm respectively). The main part of the task is for students to produce compound shapes by joining one of each rectangle together and seeing what different perimeters of shapes can be made. For example, the perimeter of the shape below, counting around anticlockwise from the bottom left-hand corner, is the sum o f l O + 3 + (10-5) + 6 + 5 + 6 + 3, or 38cm. 2/ 2822 ZO The Mathematics Teacher's Handbook In this problem students have choices about the different compound shapes they make.