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Autograph

數學分析軟體
Mathematical Analysis

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全新功能!您現在可透過原廠的線上互動式畫面了解Autograph的功能及應用,請點選以下網址進入:

http://www.autograph-maths.com/

!

Autograph有一個主要的功能,與新的新圖標和設計主題。Autograph的易用性和強大的“選擇”和“右鍵單擊”用戶界面已被保留,使新用戶與舊用戶可以很快的使用版本4的新功能。

許多新的數學課題已經引入2D和3D,並且每個課題都有一個關聯的“屬性”列表。 新Autograph 4的最顯著特徵涉及這些屬性,這些屬性可以選擇性地用於 新的“屬性計算器”或新的“XY”屬性點圖
每個課題也有一個標籤(大寫字母點),可以隱藏,或編輯包含一個數值。

還有一個開創性的新“Argand圖表“頁面,啟用複雜的數字通過動態對象進行探索。數字可以創建為Argand上的點圖表,或與給定的坐標(可以是以笛卡爾形式或極坐標形式)。

在整個過程中,可以選擇性地選擇通過隱藏/取消隱藏對像或其標籤當前對象的動態列表。
更高分辨率的屏幕現在迎合了使用適當的DPI設置,確保文本大小和線條的厚度總是合適的。
Autograph運行在兩個級別上:標準級別(no弧度,無微積分等)和高級水平。

 

功能:

 

  • 1D統計與機率

 

  • 資料設定與群集
  • 資料以圖表呈現:長條圖、點狀圖等
  • 機率分配
  • 2D圖表

 

  • 向量、方程式、微積分等
  • 3D圖表

 

  • 二平面、三平面
  • 教室使用特色

 

  • 客製化設計
  • 友善的操作環境

請點選以下影片了解Autograph的強大功能

 

 

Euler's Nine Point Circle

Euler's Nine Point Circle

Best Practice

Best Practice

Whiteboard Mode and the Onscreen Keyboard

Whiteboard Mode

Export to Web Page

 

 

 

Introduction

Reflection is a topic that lends itself particularly well to being taught in a visual and dynamic way. Students who may struggle with the numeric and algebraic components of mathematics may have a flare for the more visual topics such as reflections, and if you can hook them in then it is likely to have a positive knock-on effect throughout the rest of their studies. Autograph enables you to easily and dynamically manipulate objects and lines to interactively cover every conceivable aspect of reflections, testing your students' special awareness to the very limit!

 

Diagnostic Question

Diagnostic questions are ideal to use at the start of the lesson to enable you to get a quick and accurate picture of your students' levels of understanding. They are designed in such a way that common misconceptions that your students may hold should steer them to one of the incorrect answers, thus allowing you to learn where the problems lie from their responses. Typically I give my class 30 seconds thinking time and then ask them to hold up their fingers: 1 for A, 2 for B, etc.

 

Diagnostic Question

Diagnostic questions are ideal to use at the start of the lesson to enable you to get a quick and accurate picture of your students' levels of understanding. They are designed in such a way that common misconceptions that your students may hold should steer them to one of the incorrect answers, thus allowing you to learn where the problems lie from their responses. Typically I give my class 30 seconds thinking time and then ask them to hold up their fingers: 1 for A, 2 for B, etc.

 

Reflection Diagnostic Question

 

Ideas for Extension

The following ideas for extending the topic of reflection require the full version of Autograph.

Idea 1 – Simple Reflection

Download   simple-reflection.agg

 

Introduce students to the idea of reflections using vertical and horizontal lines.

 

If I move the blue object to the left one square, where do the reflected objects move?

If I change the position of the lines of reflection (drag the circled points), how do the reflected objects move?

If I wiggle the top left corner of the blue object, which corners of the reflected objects will wiggle?

 

Use the