In this study, an integrated lesson between two academic subjects, English and mathematics, was developed and analyzed.
In the lesson, a mathematical problem was presented with the question being “Where have four spaceships landed on the map”? The lesson was conducted in the form of information-gap and problem-solving activities. To solve the problem, two types of information were exchanged orally across groups. With regard to the medium the learners used, they were allowed to use Japanese in within-group discussions; however, in interactions between groups, English was the only medium they used. After the interaction session, the learners solved the geometric proof problem with the information they originally possessed and with the information they obtained through interaction.
Later, the lesson was analyzed from the viewpoint of both foreign language and mathematical educations. From the former point of view, it was suggested that the integrated lesson offered the learners a place where they can actively participate in communication activities. It was also suggested that the lesson would also provide the learners with the opportunities to improve their language skills in everyday-lessons, with which learners can actively participate in communication activities of the kind discussed in this study. From the latter point of view, the learners’ performance was analyzed in terms of logical inference. Through the analysis, it was suggested that working in small groups was effective in order to solve the mathematical problem. However, it was difficult for the learners to formally prove the locations of the ships with mathematical induction; they simply describe the conditions necessary for the inference.