變換觀點的幾何直觀教學微電腦程式設計及其應用

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Title:	變換觀點的幾何直觀教學微電腦程式設計及其應用 A Basic Program for Geometry Teaching Using Transformation Approach
Authors:	林保平
Date:	1986-06
Issue Date:	2011-12-07 11:41:57 (UTC+8)
Publisher:	臺北市立師範專科學校
Abstract:	中文摘要　　變換觀點的幾何教學，在實施之時，較困難之處便是它採用了動態的方法，來研究圖形及變換的性質。對智力發展在具體操作期的學生而言，操作性或實驗性的教材是十分必要的。本研究針對操作及實驗上的需要，發展了一個能在IBM-PC上執行的電腦輔助教學程式，並根據程式的功能，設計了數個單元教學活動。本程式設計的目標與傳統CAI課程的製作不同，不以學生自學為目標，而以提供幾何教學操作所需工具為目的，並兼顧了實驗幾何及變換幾何直覺認知的需要。教師須根據教學上的需要，設計單元教學活動，指導學生利用程式來研究圖形的性質或變換本身的性質與合成，學生無法自行從程式中學習。為了減少操作上的困難，程式採用單鍵操作的方式，教師可依學生程度靈活運用。　　本程式提供了兩種模式。在繪圖模式下。學生可以利用頂點坐標輸入法，或描點連線法，或呼叫繪圖副程式，來繪製正多邊形、圓、橢圓、拋物線，正弦函數圖或其他由線段組成的任意圖形。在變換模式下，學生可操作單鍵，將所繪圖形作平移、旋轉、鏡射、滑動鏡射、放大、縮小、單向伸縮、切變…等基本的幾何變換，或利用這些基本變換來設計各種圖案或研究圖形及變換的性質。此外，程式亦提供了基本圖形存取的功能，教師可事先繪製需用的圖形儲存起來，在教學時取用。本程式可適應國小及國中實驗幾何及高中變換幾何直覺認知的需要。 Abstract 　　There are two types of approaches in using geometric transformation to teach Geometry. One approach makes the trsnsformations and their properties the objects of study in geometry. Another approach focus on the properties of graphs in Euclidean space. Both approaches are difficult for students in the stage of concrete operation. There is obvious need for tools to manipulate or experiment. A program for computer aided instruction and five learning lessons are developed which are different from traditional CAI program. It is designed for students with a specially designed teaching plan. Students could then learn from the teaching process with the aid of this program. There is no instructions to the user on the monitor during program execution. In order to make it user-friendly, it requires only one key stroke for one operation. A teaching plan should be made according to the materials in the textbook to help student learning with the aid of this program. 　　There are two modes in program operation. In the graphic mode, polygons, circles, ellipses, parabolos, graph of sine function or any graph joined with segments could be drawn by (1) inputing coordinates of vertices, (2) plotting points on the screen by moving a pen, (3) calling a subroutine. In the transformation mode, the graphs constructed in the graphic mode could be trsnslated, rotated, reflected, magnified, shrinked, stretched, sheared. Basic geometric transformations could also be used to draw some complicated figures to study the properties of graphs and transformations. Subroutines to retrieve or save figures in at most 9 different lesson files could be used in the class, too. This program can fulfill the manipulation and experiment need for geometry class from grade 1 to 12.
Relation:	北市師專學報第17期 97-135
Appears in Collections:	[Office of Academic Affairs] 北市師專學報(12-18期)

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