ABSTRACT

Performance on the triangle of coins problem was observed when participants could physically change the configuration of the problem as they explored potential solutions. Participants were filmed as they worked on the problem. One group of participants could touch and move the “coins” on the screen, thereby enacting changes to the physical configuration of the problem (high interactivity) while a second group could not (low interactivity). In Experiment 1, participants could record as many possible solutions as they wished (with feedback), whereas in Experiment 2, they were limited to only one announcement; if the proposed answer was incorrect, the session was terminated. In both experiments, solution rates were generally better in the high than in the low interactivity environment, although participants were slower and made more moves before announcing their solution in the high interactivity condition of Experiment 2. Detailed analysis of the video data for the participants in the high interactivity task environment revealed a gradual appreciation of the solution, punctuated by many discontinuities in move latencies.

摘要

当参与者在探索潜在解决方案时可以物理改变问题的配置时，观察到硬币三角形问题的表现。参与者在解决问题时被拍摄下来。一组参与者可以触摸和移动屏幕上的“硬币”，从而改变问题的物理配置（高交互性），而第二组不能（低交互性）。在实验 1 中，参与者可以根据需要记录尽可能多的可能解决方案（有反馈），而在实验 2 中，他们仅限于一个公告；如果建议的答案不正确，则会话终止。在这两个实验中，在高交互环境中的解决率通常比在低交互环境中要好，