Why Maths are so hated?
Math language
●
Traditional method for learn Math
●
Very abstract!
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
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
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!
Be visual: what about
Geometry for start?
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!
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...
Maths everywhere
Maths everywhere:
Architecture
Maths everywhere: design
Maths everywhere:
mechanisms, machines
Maths everywhere:
computers
Maths everywhere:
Nature
Maths everywhere: Laws
of Universe
●
Universe behaves
mathematically, nobody
knows why ...
So, why algebraic
language is important?
●
For exact solution of problems
●
For exact representation of the Nature's
laws
Equations contains lot of
exact information
But … so exactitude, is
always needed?
●
Perhaps we can
let it for adult
people who
really need it
●
Children don't
need exact
numbers
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
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
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 ...
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
What about modern advanced calculators?
●
No need to learn all the rules, we
can concentrate in higher concepts
Problems
resolution
●
From real world we create a
Math representation
●
Then, we apply the rules and
definitions
●
We obtain an exact solution
Why Maths are so
complicated?
●
Not Maths per se, but Nature
is complicated
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

Learning Maths: why is so hard?