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Subject: 
Attribute blocks
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Date: 
Wed, 27 Sep 2000 23:26:16 GMT
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Math teachers for grades 1 - 9 use Attribute Blocks to teach relational
logic with math manipulatives.  Similarly, we can use Lego blocks as
attribute manipulatives to teach relational logic, e.g.,:
-  Classify blocks and put them in sets.
-  Identify multiple attributes.
-  Define set intersections.
-  Apply operators:  =, <, >, not, and, or.

The quantitative stud-count on Lego blocks allows us to use the inequalities
"less than" and "greater than" ("<" and ">") not available with standard
attribute blocks.

You can assemble a set of 48 unique Lego attribute blocks from the following
attributes:

Lego block attributes:
-  2 widths:
---  1 stud wide
---  2 studs wide
-  3 lengths:
---  3 studs long
---  4 studs long
---  6 studs long
-  2 thicknesses:
---  thin (plate)
---  thick (brick)
-  4 colors:
---  red
---  yellow
---  blue
---  white

Eliminating the 1x1 and 2x1 blocks avoids conflicts between width and length.

Example applications:

1.  Find all thin blocks.
2.  Sort the blocks by length.
3.  How many ways can you classify the blocks?
4.  Find all blocks red and thick.
5.  Sort the blocks in a grid
---  Columns = color
---  Rows = length
6.  Make groups using various operators:
---  red and width = 1 and thick
------  Answer:  3 blocks (red thick 1x3, red thick 1x4, red thick 1x6)
---  red and 2x3
---  blue or thick
---  (blue and 2x3) or (yellow and thick)
---  thick and not white
---  thin and not (yellow and 6 studs long)
---  blue and length < 6
--- yellow and length not > 4
7.  Venn diagram demonstration.
---  a.  Use string or marker to make a red circle as big as volleyball.
---  b.  Make a blue circle of the same size.
-------  (1)  Place its left side over the right side of the red circle.
-------  (2)  Place its edge through the center of the red circle.
---  c.  In the red circle's left side put all blocks red and thin.
---  d.  In the blue circle's right side put all blocks blue and thin.
---  e.  Define the "intersection" of the 2 circles.
-------  (1)  Find the right side of the red circle inside the left side of
the blue circle.
-------  (2)  Call it the "intersection of the two circles."
-------  (3)  Say "Let's make the intersection of the two sets of blocks."
-------  (4)  Put all blue and red thin blocks in the "intersection" of the
two circles.
8.  Venn diagram problem.
---  a.  In the red circle put all blocks having length = 3 studs.
---  b.  In the blue circle put all blocks having color = red.
---  c.  What blocks from the circles should go in the "intersection?"
---------  Answer: the 4 red blocks with length = 3 studs.

For other ideas, you can adapt the exercises for standard "attribute"
manipulatives, aka, "relational attribute" and "attribute logic"
manipulatives.  You can find "attribute" workbooks in school supply stores
and at:
-   www.instructionalfair.com
-   www.etacuisenaire.com
-   www.learningresources.com



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