Читать книгу Mathematize It! [Grades 6-8] - Kimberly Morrow-Leong - Страница 26
Descriptions of Images and Figures
ОглавлениеBack to Figure
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.