素養の高い生徒の潜在能力を引き出すための教材・スキーム研究および開発

教材及方案研发，激发高学历学生潜能

• 批准号: 21913008
• 负责人: 田村 篤史
• 金额: $ 0.22万
• 依托单位: 栄光学園中学校・高等学校
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Encouragement of Scientists
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 无数据
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-21913008/
• 关键词: 発展から基礎に下りる学習; 問題解決能力; イメージする能力

1.教材開発:微積分,行列・1次変換の教科書を作成(総ページ数:498)。2.教科書作成に伴う成果:(1)構成は「基本→標準→発展」形に拘らず,場合によっては「発展(難問)→原理・本質」とした。素養の高い生徒の場合,本質を含んだ難問を提示し,理由を追求して基礎に下りるという学習は効果的であるとの結果を得た(アンケート)。(2)問題解決能力は,(できるだけ)頭の中だけの反復を通して,イメージする力を身につけ,経験(記憶)を結合させることで向上すると仮設を立て,その通りの結果を得た。一方,反復は生徒の努力に依存するものであるから,自発的反復のきっかけを与えるものとして「驚き(本質的内容を含む難問(1))を与え」た。アンケートでは,驚き(難問)を完全に理解したいという欲求から,反復し,イメージを持てるようになったとの回答を得た。試験等で問題解決能力の向上は確認した。(3)1次変換は,空間を潰すイメージ(基底の変換に言及)であることに着目させた。このためにMathematica(科研費で購入)やGRAPES(フリーソフト)を用いた。イメージに注目することは多くの生徒の賛同を得た(アンケート)。微積分では立体図形の構成をMathematicaで実感させた。頭の中で図形を思い浮かべ,自在に操作することのできる能力は数学的な力の重要な1つであると考えられる。視覚的に図形の構成を示すことによって能力の向上がはかれた(アンケート結果)。(4)別解を多く与える。または別解を考えさせる。イメージ能力・経験(記憶)の結合の涵養に必須である(アンケート結果,試験等)。3.授業方法論に関する成果:(1)time pressure。基本演習に関しては,時間制限によりモチベーションが上がりミスも減少する(実証済)。(2)何らかの作業を導入し,常に考えている状態を作る(講義のみは学習効果が薄い,実証済)。(798字)

1. Textbook opening: slightly positive scores, the ranks of one-time training and teaching materials were completed (number of students: 498). two。 The results of teaching and learning are as follows: (1) it is formed into a basic standard exhibition in the form of an exhibition of basic standards and principles. This book contains tips for students who are in high school. The reason for this is that they are interested in the results of their studies. (2) the ability to solve the problem is good. In the middle of the problem, you need to make sure that you are doing well, and you are doing well in combination with the ability to solve the problem. the results of the test results are satisfactory. On the one hand, the students try their best to rely on each other, and the contents of this book include the contents of this book (1). I fully understand that you want something, you don't want it, and you don't want it. Please make sure that you have the ability to solve problems and so on. (3) one round of training, and the space flight will be used to keep an eye on the target. Mathematica (scientific research), GRAPES (scientific research), and so on. Please pay close attention to the students who are in the same position. The micro-scale is divided into a three-dimensional shape and becomes a Mathematica. In the middle, the shape is floating, and you are free to operate the important force of mathematics. The shape of the computer indicates that the ability to improve the ability to improve the performance of the system (the results of the test results). (4) Don't solve the problem of "too much" and "too much". Don't understand me. I don't know. The combination of the ability test (record) and the combination of the ability test (record) means that the combination must be affected (the results of the test results, records, etc.). 3. The teaching methods are discussed and the results are as follows: (1) time pressure. In the basic performance, there is a time limit for the number of days in which there is a limited time limit. (2) if you are interested in your homework, you will often learn how to do it. (2) if you are interested in your homework, you will often learn how to do it. (798 words)