Lesson 1, Topic 1
In Progress

1.7. Relations of distance and positions between objects are analysed from different views.

ryanrori January 5, 2021

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The difference between the concepts of length and distance is that the length is used to state the length measure of one of the dimensions of a single object, while distance is used to state the length measure that separates two distinct objects.

Understanding size and distance relies upon comparison to a known standard. The comparison might be between objects: a man standing next to a fence in a picture provides a scale for judging the size of the fence. The size of the man is the known standard. Take the man out of the picture and a basis for judgment of the fence size disappears with him.

Distance is measured by comparison to a standard as well. If the man is taller than the house in the picture, we know that the house is far away. Size and distance are shown as relationships by using comparison and contrast.  Of course, this method only works if the size of one object is known. A picture of two rocks provides no basis for judgment unless a referent, even a single blade of grass, is added. In the physical world and in pictures of that world, size and distance are measured against known standards. The standard which is most basic for all comparisons is the human body.

Position and Order

We also gain meaning from position in a sequence. The order of letters and numbers has meaning: “on” is not “no,” “saw” is not “was,” and “angel” is not “angle.”

The position of numbers tells their value. This relational quality is built into the system. “101 “is different in value from “10.” Learning place value and internalising the meaning of numbers is important. Number position is meaningful in operations like addition, subtraction, multiplication, and division. In fact, each operation has its own set of relational rules or demands. For instance, subtraction requires taking the bottom number from the top number and recognising place values when borrowing.

We describe the position of objects in space relative to other objects with words such as right, left, above, below, and beside.