Notices
Results 1 to 9 of 9

Thread: Learning Mathematics Visually

  1. #1 Learning Mathematics Visually 
    Forum Junior
    Join Date
    Sep 2010
    Location
    92
    Posts
    217
    While I realize that visual aids are nothing new to mathematics and educating people in it, I use a tool that I've found works very well in my learning math and that many may have not realized works so well. It's Adobe Illustrator. Illustrator is an excellent program for creating geometric figures including polygons, line segments, smooth curves, circles, and ellipses. You can easily annotate your work using text. Editing your work is easy, and you can move, resize, reflect, and rotate the objects you include in your drawing.

    Right now I'm reviewing calculus, and Illustrator is very helpful in understanding limits. For instance, I can fill a circle with triangles to estimate the circle's area.

    Now Illustrator might be a bit expensive for a lot of people and has a fair learning curve. If you think that may be a problem for you, then there are a lot of other good drawing programs on the market that may work much like Illustrator but are less expensive and may be easier to learn.

    In any case, I've found that learning math visually this way is a real plus.


    Reply With Quote  
     

  2.  
     

  3. #2  
    Student Psychologist99's Avatar
    Join Date
    Aug 2013
    Location
    USA
    Posts
    6
    Thank you for posting about this, it may be very helpful to me in school this year.


    Reply With Quote  
     

  4. #3  
    Moderator Moderator
    Join Date
    Nov 2011
    Location
    city of wine and roses
    Posts
    6,225
    Apart from external visual aids, I find that many students benefit from drawing or illustrating problems themselves with pencil and paper.

    I'm not particularly talented in this way but some students find it really helpful - and I've noticed that students who "refuse" to write things down can do better if they write/ draw anything to get themselves started on a problem.
    "Courage is what it takes to stand up and speak; courage is also what it takes to sit down and listen." Winston Churchill
    "nature is like a game of Jenga; you never know which brick you pull out will cause the whole stack to collapse" Lucy Cooke
    Reply With Quote  
     

  5. #4  
    Forum Junior anticorncob28's Avatar
    Join Date
    Jun 2013
    Location
    Nebraska, USA
    Posts
    214
    Yeah, that works well for calculus and especially geometry. But what about algebra? I guess there are visualizations for FOIL and completing the square.
    Reply With Quote  
     

  6. #5  
    Moderator Moderator
    Join Date
    Nov 2011
    Location
    city of wine and roses
    Posts
    6,225
    I suppose so - I've never tried. But we did have one student turn up for assessment for tuition, and he managed to get through by drawing something-or-other for every. single. question. I can't remember how old/ what year he was though, just that he was the oldest in a family of 3+ kids.
    "Courage is what it takes to stand up and speak; courage is also what it takes to sit down and listen." Winston Churchill
    "nature is like a game of Jenga; you never know which brick you pull out will cause the whole stack to collapse" Lucy Cooke
    Reply With Quote  
     

  7. #6  
    Forum Freshman
    Join Date
    Aug 2013
    Location
    Does it matter?
    Posts
    11
    Although I have no offspring of a biological sense, and here my logic comes into play of "what about Fred", I'm still a novice at how mathematical symbols can be either used independent of an ultimate equation or randomly at for instance a casino? Anyone?
    Reply With Quote  
     

  8. #7  
    Forum Junior
    Join Date
    Sep 2010
    Location
    92
    Posts
    217
    Quote Originally Posted by Psychologist99 View Post
    Thank you for posting about this, it may be very helpful to me in school this year.
    You're welcome. Please let me know how you do in school. What math classes are you taking?

    Jagella
    Reply With Quote  
     

  9. #8  
    Forum Junior
    Join Date
    Sep 2010
    Location
    92
    Posts
    217
    Quote Originally Posted by adelady View Post
    Apart from external visual aids, I find that many students benefit from drawing or illustrating problems themselves with pencil and paper.
    Sure. I do that too. If precision isn't important, then drawing freehand is fine and might be easier than using software. What's great about software, though, is that you can more easily check what you're learning. For instance, if you draw a right triangle in Illustrator, you can verify the Pythagorean Theorem by measuring the sides of the triangle. You can measure each side with two clicks of the mouse.

    I'm not particularly talented in this way but some students find it really helpful - and I've noticed that students who "refuse" to write things down can do better if they write/ draw anything to get themselves started on a problem.
    Much of math is what you might see. How do you think it might be like to learn geometry using only words?

    Jagella
    Reply With Quote  
     

  10. #9  
    Forum Junior
    Join Date
    Sep 2010
    Location
    92
    Posts
    217
    Quote Originally Posted by anticorncob28 View Post
    Yeah, that works well for calculus and especially geometry. But what about algebra? I guess there are visualizations for FOIL and completing the square.
    I'll type equations into Illustrator to annotate my drawings. Once you study the Cartesian coordinate system, you can use illustrator to draw the coordinate axes and plot points and connect them using a smooth curve. You can solve quadratic equations by plotting curves this way and checking to see where they intersect the x-axis.

    Jagella
    Reply With Quote  
     

Similar Threads

  1. Replies: 5
    Last Post: September 13th, 2012, 05:14 AM
  2. INVENTION FOR THE BLIND OR VISUALLY IMPAIRED
    By JoseManuelRuizJorge in forum General Discussion
    Replies: 0
    Last Post: June 27th, 2011, 05:09 AM
  3. Learning How
    By IOPTFEAR in forum Electrical and Electronics
    Replies: 3
    Last Post: February 17th, 2010, 11:24 PM
  4. Learning mathematics, need tips
    By Dissolution in forum Mathematics
    Replies: 14
    Last Post: January 10th, 2010, 03:50 PM
  5. e-learning
    By biotoy in forum General Discussion
    Replies: 2
    Last Post: April 25th, 2008, 01:59 PM
Bookmarks
Bookmarks
Posting Permissions
  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •