Use of Calculator and it with graphing capability have been paid attention and emphasized for more than twenty years. In this paper, the capabilities and its educational potentialities of recent calculators that are developed for mathematics education are analyzed and summarized. Current status of use of calculators in Japan is outlined and examined by the following resource: foreign curriculum documents, international surveys, courses of study of Japan, Japanese mathematics textbooks, Japanese mathematics education research. It is identified that use of calculators in Japanese mathematics education has tardy progressed. Factors against its implementation are investigated.

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Everyone knows the beautiful tilings by M.C.Escher, one of the most eminent lithographer in the 20th century. His “Heaven and Hell”, based on the geometry of the hyperbolic plane, is the most famous, but shortly before that, Escher conducted a unique research into the patterns on the more familiar Euclidean plane. In this article, we will describe some learning activities, both for synthetic learning and liberal arts education, where students can learn from generating by a computer various patterns and investigating them. Engaged in this activity, they can learn the beauty of art and, at the same time, the usefulness of modern mathematics. Computers will play an indispensable role for the understanding of the structure and experiment in this cross-disciplinary project.

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Abstract: Based on some experience, we consider superior and inferior points in applying computers in mathematical education in universities.

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Using Maple, a Symbolic Computation System or Computer Algebra System, we have an exercise course on material science for the undergraduate students of the third grade. Maple should be the ideal tool of mathematics for the students not majoring mathematics nor programming. The follow-up review, however, revealed that the students who took this course are not applying this software on daily researches. We will explore the reasons of this situation and revise the teaching method.

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Although the asynchronous distance learning using Web attracted attention, since it was used by the training in a company or continuing education from the first, the subjects of contents were characters and images. On the other hand, in the education of a science and engineering, the mathematical expression and a chart are indispensable, and it is required that these should be treated by Web. In this paper, the handling of the mathematical expression in Web is surveyed and the report management system which contained mathematical expression as an example is reported.

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By investigating the relations among academic records, attendance rates, degree of lecture comprehension, and lecture evaluation by students for each lecture, we found the following results which would hardly be recognized when we use only the questionnaire at the last lecture. The results are, 1) students who constantly show the high lecture comprehension will take high score, 2) other students show high variances of lecture comprehension, 3) there is a strong relation between the lecture presentation and the lecture comprehension, 4) low attendance rate students would take low academic scores, but high attendance rate students do not always take high scores , 5) a high correlation between the lecture comprehension and the academic score can be observed if the lecture absence is regraded as no comprehension, but it can not if the absence is not considered. The web questionnaire database system will make us concurrent lecture designs, efficient data arrangements, and quick responses to questions for each lecture.

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Demonstration experiments for physics education at high school help students understand physical phenomena and increase their motivation. To heighten the effect of such demonstration experiments, we have devised a new computer-aided technique which records experiments with a digital video camera and then analyze the recorded data. In this research, we have developed a material for teaching the motion of bodies falling in air and water, through making preparatory experiments to increase the educational effect of demonstration in advance. We also calculated the effect of air resistance which is proportional to the velocity of body. Based on the results, we have developed computer-aided experiment teaching materials used effectively by high-school students in class sessions after demonstrations.

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In this paper, a cross curriculum associated with each subject, extracurricular activities, morality and synthetic studies, is proposed making points of "the scientifically information understanding" and "the attitude which takes part in an information society" as well as "the practice power of information practical use". Furthermore, we consider what study activities are efficient in order to advance intentionally training of the information practical use capability in elementary schools. Concretely, we take up the unit about "the information and communication industry" of the 5th grade social studies as contents of study, and one example of lesson practice, which aims at training of information practical use capability is shown through the experience of creating Web pages and sending information.

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In Japan, universities and colleges tend to overemphasize well-established knowledge and skills. Such policy will fail to make full use of the potential of IT (information technology), resulting in volume production of human resources without creativity, imagination, and insight. To foster the ingenuity of students by using IT, it is the most important for teachers to design a new type of erudition based on humanities-sciences hybrid knowledge and to induct them into it through teachers' firsthand knowledge.In this paper, I review the process of much trial and error in my statistics lectures for the students without science and mathematics backgrounds in Waseda University and identify the merits and demerits of using IT in college education, in order to propound the new level of erudition in statistics.

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To make lectures easy to understand, teachers must always grasp the degree of understanding of students and continue the lectures taking it into consideration.We propose the realtime description-answer test system to grasp the degree of understanding of students during a lecture. The system classifies description answers of students with keywords analyzed using natural language processing technology.

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When learners make mistakes in spite of their self-confidence, they often doubt if their answers were really wrong. In such cases, they usually examine how they should have answered and try to promote their understanding of lesson contents. In this paper, such nature that learners originally possess is called selffeedback. In education situations, it is important that teachers help learners' self-feedback to function smoothly. However, no effective methods have ever been appeared as far as we know. Our advanced investigation found that learners did not try to recheck their answer unless they had self-confidence. This paper proposes a CAI system providing a learning environment to encourage self-feedback in learners. The CAI system is based on the idea that learners should not be forced to make any answers without their self-confidence. We carried out our experiments on a math class of first-year students of a junior high school. The results show the effectiveness of our system.

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As a result of deregulation (easing of previous regulations) by the Ministry of Education, Sciences, Culture and Sports, new e-learning tools have being developed and some of them are proving useful in teaching social sciences at universities. We propose that "wisely guided peer review" with the use of e-learning tools is effective in enhancing the quality of student course essays.

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The class of "Social Research (Prof. Senoh, in charge)", in Shonan Fujisawa Campus (SFC), Keio University, has been developing a new educational system since 1996, which is research project-based, using digital medeia environment such as web-site and e-mail. The eivironment enables many ouside-members such as journalist, business person get involved in students' project as "supporters". This system is called "learning community" based on various digital media. We investigated the actual usage and relationships of the media of the student research projects done in the past six years. In this paper, we show the results of the investigation and discuss the possibility of "media environment" in university's education.

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