An algorithm for the computation of the continued fraction expansions of numbers which are zeros of differentiable functions is given. The method is direct in the sense that it requires function ...

For some continued fractions $Q = b_0 + a_1/(b_1 + \cdots)$ with $m$th convergent $Q_m$, it is shown that relative errors are monotone in some arguments. If all the ...

Many children never master fractions. When asked whether 12/13 + 7/8 was closest to 1, 2, 19, or 21, only 24% of a nationally representative sample of more than 20,000 US 8th graders answered ...