The first fractions-to-decimals conversion problems in 6th grade 1920's math vs. 6th grade Connected Math.
I. From Hamilton's Essentials of Arithmetic, Second Book (published in 1919), chapter I, "Decimals" section [click to enlarge]:
II. From Connected Mathematics' Bits and Pieces I, Investigation 3, "Moving Between Fractions and Decimals" [click to enlarge]:
III. Extra Credit:
If you divide the mathematical challenges of each problem set by its verbal challenges (i.e., the challenge of figuring out what each problem is asking you to do), which problem set has the larger quotient?
Should 6th graders by encouraged to conceive of fractions as shadings on a hundredths grid, or as a division of the numerator by the denominator?