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1. 发明专利

JP2011158701A Multiplication table learning tool 审中-公开
标题翻译：多功能表学习工具
公开(公告)号：JP2011158701A
公开(公告)日：2011-08-18
申请号：JP2010020196
申请日：2010-02-01
申请人： Noriyuki Aizawa , Etsuo Arakawa , Eriko Fukamizu , Hitoshi Kamogawa , 深水映里子 , 相澤則行 , 荒川悦雄 , 仁鴨川
发明人： ARAKAWA ETSUO , AIZAWA NORIYUKI , KAMOGAWA HITOSHI , FUKAMIZU ERIKO
IPC分类号： G09B19/02 , G06C3/00
摘要： PROBLEM TO BE SOLVED: To provide a device enabling a learner of multiplication table to experience the joy of finding a mathematical regularity by himself/herself or to experience unexpected mathematical depth by utilizing, as an exploring activity, the process where a table is used for the process of checking the relation between the multiplier and the multiplicand.
SOLUTION: A learning tool for visually checking the result of regular arithmetic operation in a multiplication table by introducing the concept of logarithm where the product can be expressed by the sum is provided. The multiplication table learning tool comprises, as shown by the signs 1 and 2 in Fig. 3, a display body having a face displaying the entire relations in the multiplication table in a two-dimensional drawing, and a slide rule to be used in a superposed state, and a logarithmic scale in the same reduction scale is marked on each of them. As shown by the signs 1k and 2d in Fig.3, marks functioning as a mechanism for setting the use position of the slide rule for each multiplicand are provided on the display body and the slide rule and, by setting the position of the slide rule, the value of the product of multiplication is read. A user can take an overview of the entire relations in the multiplication table and can intuitively explore the regularity.
COPYRIGHT: (C)2011,JPO&INPIT
摘要翻译：要解决的问题：提供一种能够让乘法表的学习者体验自己或她自己找到数学规律性的喜悦，或通过利用作为探索活动的过程来体验意想不到的数学深度的装置，其中表用于检查乘数和被乘数之间的关系的过程。
解决方案：提供了一种用于通过引入乘积可以表示乘积的对数概念来在乘法表中目视检查常规算术运算结果的学习工具。乘法表学习工具包括如图1中的符号1和2所示。如图3所示，具有在二维图中显示乘法表中的整体关系的面的显示体和叠加状态中使用的滑动规则，并且在每个显示体上标记相同缩小比例的对数标尺。如图3中的符号1k和2d所示，作为用于设置每个被乘数的滑动规则的使用位置的机构的标记被提供在显示体和滑动规则上，并且通过设置滑动规则的位置读取乘法乘积的值。用户可以对乘法表中的整个关系进行概述，并可以直观地探索规则性。版权所有（C）2011，JPO＆INPIT

2. 发明专利

JP2006076077A Logarithmic grid provided with marking lines of specifications of natural logarithm 审中-公开
标题翻译：使用自然逻辑规范标记线提供的对数网格
公开(公告)号：JP2006076077A
公开(公告)日：2006-03-23
申请号：JP2004261327
申请日：2004-09-08
申请人： Etsuo Arakawa , Hitoshi Kamogawa , 荒川悦雄 , 仁鴨川
发明人： ARAKAWA ETSUO , KAMOGAWA HITOSHI
IPC分类号： B42D15/00
摘要： PROBLEM TO BE SOLVED: To provide a standard regarding marking lines of a logarithmic axis for designing a logarithmic grid provided with the marking lines of specifications of a natural logarithm for a user of logarithmic paper in the field of a natural science, and a product using this standard.
SOLUTION: The marking lines of the specifications of the natural logarithm are drawn within the logarithmic paper having marks of a common logarithm in the common use, by utilizing the mathematical property that the relation of approximation exists in the precision within the extent of the thickness of a line between the cube of an irrational number being the base of the natural logarithm and an integer 20. In this method, in other words, the marking lines varying by the cubic time of the base of the natural logarithm are used in common with the marking lines varying 20 times of the common logarithm and shown by drawing them with specific lines which can be distinguished from other marking lines of the common logarithm.
COPYRIGHT: (C)2006,JPO&NCIPI
摘要翻译：要解决的问题：提供用于设计对数网格的标记线的标准，该对数网格具有自然科学领域中的对数纸张用户的自然对数的规格标记线，以及使用此标准的产品。
解决方案：通过使用在近似值的关系存在于精度范围内的数学属性，在具有常用对数标记的对数纸中绘制自然对数规范的标记线在无理数的立方之间的线的厚度是自然对数的基数和整数20.在该方法中，换句话说，以自然对数的基数的立方时间变化的标记线用于标记线与通常对数的20倍变化相同，并且通过用可以与常用对数的其他标记线区分的特定线来绘制它们。版权所有（C）2006，JPO＆NCIPI

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