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The flowchart in Figure 1 shows a
comparison of major standards - the relationship of the three sets of standards
to each other. Several common characteristics across all the professional
organizations’ standards include – Developmentally effective classroom
approaches; academically prepared teachers who have the knowledge, skills, and
dispositions in curricular areas such as mathematics.
Doing math is more like doing a 1,000
piece jigsaw puzzle, where you are finished except for the blue sky. You try a
piece, then another. Perhaps you line up the remaining pieces a certain way.
You work at it and then you stop for a while. Persistence and intuition are as
important as speed. Doing mathematics –
takes time and effort. Taking more time to solve a math problem doesn’t mean
that you are less capable than someone else. In figure 2 shows that each piece of the puzzle
represents a different aspect of their vision of doing math. It involves
collaborating with others in an effort to solve problems, making and revising
representations for/of our thinking, trying to connect various ideas, and
communicating the reasoning behind our thought process to others.
Learning
is enhanced when the learner is engaged with others working on the same ideas.
Classroom need to provide structures and supports to help students make sense
of mathematics in light of what they know. And getting students to be
reflective is to engage them in interesting problems in which they use their
prior knowledge as they search for solutions and create new ideas in the
process
We as
teachers often think about what we have to do or what our students have to do
but is "doing" enough? Is it enough to have students who can simply
"do" math? I think we need to think bigger, see the bigger picture
and explore why we teach math in our schools.
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| Figure 1 |
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| Figure 2 |
“I used to think I was the strangest person in the world but then I thought there are so many people in the world, there must be someone just like me who feels bizarre and flawed in the same ways I do. I would imagine her, and imagine that she must be out there thinking of me too. Well, I hope that if you are out there and read this and know that, yes, it's true I'm here, and I'm just as strange as you.”
“This is how you do it: you sit down at the keyboard and you put one word after another until its done. It's that easy, and that hard.”
This page is dedicated to the person who made this blog skin. It is absoulutely wonderful. Loves. xoxo