7/30/2019 Principles of Teaching Mathematics

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The Principles of T

eachingMathematics

2 x + 3

= 5 x =

1

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Teachers must know andunderstand deeply themathematics they areteaching and understand andbe committed to their

students as learners of mathematics and as humanbeings. Select and use suitablecurricular materials, usingappropriate instructionaltools and techniques tosupport learning, and pursue

continuous self-improvement.

1257 =521

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i2=-1

Decide what aspects of a task to highlight, how to organize

and orchestrate the work of students, what question to ask students having varied levels of expertise and how to support

students without taking overthe process of thinking forthem. Teachers need to increasetheir knowledge about

mathematics and pedagogy,learn from their students andcolleagues and engage inprofessional development andself-reflection.

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Effective Mathematics Teaching

1/4+1/2=3/4

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Teachers must know andunderstand deeply themathematics they areteaching and be able to drawon that knowledge withflexibility in their teachingtasks.

Teachers need severaldifferent kinds of mathematical knowledge-knowledge about the wholedomain

Teachers need tounderstand the big ideas of mathematics and able to

represent mathematics as acoherent and connected

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Effective teachers knowhow to ask questions and

plan lessons that revealstudents prior knowledge. Effective mathematicsteachers should establish and

nurture an environmentconducive to learningmathematics. Introduce importantmathematical ideals by usingmathematical tasks that willengage and challengestudents intellectually.

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Effective mathematicsteaching involves observing

students, listening carefullyto their ideas andexplanations, having

mathematical goals and usingthe information to makeinstructional decisions. Teachers should monitorstudents capacity andinclination to analyzesituation, frame and solveproblems and make sense of

mathematical concepts and

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Principles of LearningMathematics

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Learning the basics of mathematics is important.

Learning with understandingalso helps students becomeautonomous learners.