Learning Maths: why is so hard?
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This document discusses why math is often disliked and proposes alternative approaches to math education. It suggests that traditional methods focus too much on rote memorization without developing mathematical intuition. Visual and interactive learning styles that start with geometry and make math relevant may help motivate students more. The document argues that while algebraic precision has its place, developing number sense is more important initially. It advocates exposing children to ways math is present in everyday life before requiring mastery of rules and symbols.
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Learning Maths: why is so hard?
- 1. Why Maths are so hated?
- 2. Math language ● Traditional method for learn Math ● Very abstract!
- 3. Maybe we start badly ● “Children who are drilled in rote arithmetic are learning skills far removed from those that enrich mathematical intuition” , http://newsoffice.mit .edu/1999/math-0512
- 4. Math not always are exact ● "Down the road, educators may look harder at the importance of developing children's number sense": ability to determine a ballpark answer rather than a specific answer, the “number sense” http://newsoffice.mit .edu/1999/math-0512
- 5. Visual learning ● Three main types of learning styles: visual, auditory, and kinesthetic ● Visual learners prefer to learn from whole- to-part, also really need to understand why they are learning something: motivation!
- 6. Be visual: what about Geometry for start?
- 7. Motivation A friend, 27 years old: “I never have used the Maths learned in the school in real life” Me: Well, Maths are surrounding us, really!
- 8. Using imagination, and getting fun Donald in Mathmagic Land: an old comic for children … and also not so young people Donald learn Maths are everywhere...
- 15. Maths everywhere: Laws of Universe ● Universe behaves mathematically, nobody knows why ...
- 16. So, why algebraic language is important? ● For exact solution of problems ● For exact representation of the Nature's laws
- 17. Equations contains lot of exact information
- 18. But … so exactitude, is always needed? ● Perhaps we can let it for adult people who really need it ● Children don't need exact numbers
- 19. So, two approaches ● Visual, imaginative approach: better for start our Math learning ● Algebraic, numerical, exact approach: later, when mind is able to work with abstract concepts
- 20. How we can become proficient on Math language? ● Like in a game, there are rules … lot of rules, we need know them for be able to play
- 21. All is about rules and definitions ● +·+ = + +·- = -, -·+ = -, -·- = + ● a·(b + c) = a·b + a·c ● (a + b) / c = a/c + b/c ● a·a = a², a·a·a = a³, … ● And so on ...
- 22. Constructing the Math Building, step by step Arithmetic basic rules Arithmetic advanced rules Basic Algebra Arithmetic advanced rules Math Functions Math in real life Math Research
- 23. What about modern advanced calculators? ● No need to learn all the rules, we can concentrate in higher concepts
- 24. Problems resolution ● From real world we create a Math representation ● Then, we apply the rules and definitions ● We obtain an exact solution
- 25. Why Maths are so complicated? ● Not Maths per se, but Nature is complicated
- 26. Share the knowledge! ● All the images of this presentation was downloaded from www.flickr.com ● The ideas about Math learning has succesfully been applied by the author