Читать книгу Mathematize It! [Grades 6-8] - Kimberly Morrow-Leong - Страница 26

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The figure shows the following five representations:

 Pictorial

 Symbolic

 Verbal

 Contextual

 Concrete

Double-headed arrows indicate the interconnections of each representation with all the other representations individually.

FIGURE 1.1 FIVE REPRESENTATIONS: A TRANSLATION MODEL

Source: Adapted from Lesh, Post, and Behr (1987).

DescriptionBack to Figure

The figure shows “The Mathematizing Sandbox” which consists of the following steps:

1 EnterUnderstand the words: Students focus on reading comprehension of words and quantities.Light bulb icon with a question mark inside: Students pause and answer, “What is the story in this problem?”

2 ExploreAn image shows three cogwheels labeled as Engage Operation Sense, Represent, and Translate. An arrow over each cogwheel indicates that Engage Operation Sense rotates anti-clockwise and is connected to Represent, Represent rotates clockwise and is connected to Translate, and Translate rotates anti-clockwise. Under, it says “Students focus on mathematical comprehension.”

3 ExpressLight bulb icon with an exclamation mark inside: Students pause to identify a problem structure that fits the story.Show a solution: Students show and justify a solution.