Takatoshi Naka

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In this study we attempted to illustrate to what extent Japanese university students who study English immediately after their enrolment have acquired English short vowels using graphs and a three-dimensional (= 3D) vowel chart, and thus to clarify what their problems are while simultaneously producing American English short vowels. There was a prediction(More)
The difficulty of puzzle rings is mainly due to the complexity of the solving procedures and the high number of dimensions of the possible moving paths. This paper aims at providing a quantitative evaluation of the concept of puzzle ring difficulty, and proposes some feature values for describing the difficulty. Furthermore, the effectiveness of those(More)
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