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Teacher Bruce Stewart uses home-made visual aids to illustrate the "Golden Rule of Alegbra." Here he begins to solve the equation: 3X equals 6. Note that the scale balances.
He illustrates what happens when students forget to divide both sides of the equation during the process of solving on olgebra problem. He is using an ordinary balance scale.
Now the equation balonces — and so does the balance scale — because each side is divided by 3.
Additional proof — in visuol form — is given because the scale is still in balance after the problem is solved.
BilLAIICE SCALE: KOLDEI RULE OF ALIiEBRl
by E. MILTON GRASSELL
Bruce Stewart, a math teacher at Parrish Junior Higli School in Oregon's capital city Salem, has been experimenting witli an unusual approach that adapts the Biblical Golden Rule to visual aids. The Biblical Golden Rule says: "Do unto others as you would have them do inito you." This is the basis for Mr. Stewart's Golden Rule of Algebra, whicli states: "Do unto one side as you do to the other."
Mr. Grassell is School Specialist, Department of Visual Instruction, Oregon State System of Higher Education, Coniallis, Oregon.
Stewart's "Balance Scale" in itself, however, did not solve his teaching problems. Questions were still not easy to explain to beginning students because four separate rules were covered: (1) Division, (2) Multiplication, (3) Subtraction, and (4) Addition. Stewart realized he had to visualize these rules. That's what got him started on the unique visual aids shown in the accompanying photographs.
Stewart borrowed a Iialance from the science department, wooden blocks from the siiop, lioard and paint from the art teacher, and purchased some lead shot (about 50 cents) from a downtown gun-smith.
scale some card
The key to the whole idea is the lead shots in the wooden blocks to which each digit is attached. For example, in the first picture, the 3X unit has the same amount of leod os the 6 unit on the other side of the balance scale.
January, 1955
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