01

前言

Desmos，中文名：圖形計算器，它具有快速強大的數(shù)學(xué)引擎，涵蓋微積分、數(shù)理統(tǒng)計、分析學(xué)等多個數(shù)學(xué)分支，可立刻繪制出任何公式的圖形，從單一的線條到復(fù)雜的傅立葉級數(shù)，輕松直觀。

網(wǎng)友戲稱它為“呆萌”，下面這個網(wǎng)址就是通往Desmos的大門:

02

學(xué)生說——By: Lloyd &Mia

我們在數(shù)學(xué)課上已經(jīng)學(xué)習(xí)了很多種類的函數(shù)，比如一次函數(shù)、二次函數(shù)、三角函數(shù)、圓、橢圓、對數(shù)函數(shù)、指數(shù)函數(shù)等等。學(xué)習(xí)函數(shù)的過程可能是無聊的, zeros, x-intercepts, y-intercepts, maximum value, minimum value, domain, range, asymptote, reflection, translation, stretch, graph... 我們常常被這些函數(shù)的圖像、性質(zhì)而搞得暈頭轉(zhuǎn)向。

Desmos是一個完全免費的函數(shù)繪圖計算器網(wǎng)站，它具有很多功能，微積分、統(tǒng)計、參數(shù)方程、極坐標(biāo)也完全不在話下。Desmos的官網(wǎng)上也會有一些牛人用函數(shù)做的優(yōu)秀作品展示以及相關(guān)比賽等。所以近期，我們的數(shù)學(xué)外教Ms. Vee 留了一項相關(guān)的作業(yè)———用Desmos畫圖。

作業(yè)可以以小組(peer activity) 或個人(individual activity) 的方式完成，我們所完成的作品沒有要求，可以是建筑、動物、logo等等，但要確保用到linear functions, quadratic functions, circle, absolute functions, square root functions等函數(shù)，并設(shè)計一幅海報(poster)。

起初，我們都很困惑，無論是畫什么，還是怎么畫，大家都一籌莫展。但隨著和自己partner的探討和對于Desmos, functions組合的深入研究。最后每一組或個人都呈現(xiàn)出了一幅幅令人驚艷的作品。

這項作業(yè)不僅培養(yǎng)了我們的團隊協(xié)作能力，動手能力，在設(shè)計海報的過程

中更是培養(yǎng)了我們的想象力和創(chuàng)新能力。通過實踐，借助有效的工具，也讓我

們更加深入地學(xué)習(xí)了每個function的性質(zhì)與圖像，為下學(xué)期的微積分課程打下了堅實的基礎(chǔ)。

03

外教說——By: Vithel Niez

Our textbook suggested a unit project entitled “The Art of Mathematics”. Since we are tackling different functions and using Desmos in showing graphs, I preferred to give this specific Function Art Project that I found on the internet.?

How can we use mathematical functions to create a piece of art that is meaningful to ourselves and others? This is the essential question in this project. As mentioned from the website, "Function Art" will be an opportunity for the students to reflect on all of the different types of functions they've studied, and particularly the properties and features of their graphs. This project will allow them to integrate their knowledge of the graphs of the major functions and relations of study in algebra, Pre-Calculus 12 and past Mathematics lessons with the concepts of domain, range, and transformations of functions. During the project, they will apply what they know about the mathematical phenomena of translations, stretches, compressions, and shifts of graphs, and use what they learn to help create an outstanding piece of mathematical design.

The students submitted 1) Digital Graphic Art by sharing permalink on Edmodo, 2) Self-Reflection writing and 3) Poster that are mounted on Gallery Wall at the back of Math classroom. Their posters are amazing! They’ve done their best and showed creativity using functions. I am impressed!

These are some of Desmos permalink where we can see the varied functions they used to create their art:

https://www.desmos.com/calculator/ejwl7uxias?lang=zh-CN

https://www.desmos.com/calculator/aludbrsftc?

https://www.desmos.com/calculator/facdkyene5

https://www.desmos.com/calculator/ppggrw44tw

https://www.desmos.com/calculator/2bn7r53dj7

https://www.desmos.com/calculator/37cotobnq4

https://www.desmos.com/calculator/68naplcvoz?lang=zh-CN

https://www.desmos.com/calculator/d8qnkddrac?lang=zh-CN

Reference:

https://sites.google.com/a/juliancharterschool.org/math-9-12-function-art/9-12-math-projects/alternative-project---function-art

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制作:中加班宣傳部

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