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NSM in Jakarta Problem Solving in Geometry and Calculus

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Page 1: NSM in Jakarta Problem Solving in Geometry and Calculus
Page 2: NSM in Jakarta Problem Solving in Geometry and Calculus
Page 3: NSM in Jakarta Problem Solving in Geometry and Calculus

problem solving

approach

Page 4: NSM in Jakarta Problem Solving in Geometry and Calculus

what what

what

Page 5: NSM in Jakarta Problem Solving in Geometry and Calculus

how how

how

Page 6: NSM in Jakarta Problem Solving in Geometry and Calculus

tool tool

tool

Page 7: NSM in Jakarta Problem Solving in Geometry and Calculus

basic idea LESSON TYPE

SOURCE textbook

Page 8: NSM in Jakarta Problem Solving in Geometry and Calculus

Anchor Task – use a single

problem and encourage

students to explore and

work on it before

discussing possible ways.

This segment last about 20

minutes. The entire

workshop includes several

demonstrations on this

segment of the lesson.

Page 9: NSM in Jakarta Problem Solving in Geometry and Calculus
Page 10: NSM in Jakarta Problem Solving in Geometry and Calculus

Board writing – This is the

appearance of the

whiteboard by the end of

the lesson.

Page 11: NSM in Jakarta Problem Solving in Geometry and Calculus

Students complete their

journal.

Page 12: NSM in Jakarta Problem Solving in Geometry and Calculus

practiceLESSON TYPE

SOURCE lesson study

Page 13: NSM in Jakarta Problem Solving in Geometry and Calculus
Page 14: NSM in Jakarta Problem Solving in Geometry and Calculus

basic ideas LESSON TYPE

SOURCE other resources

Differentiated Instruction for Advanced

Learners – while the other students are

figuring out the construction of perpendicular

bisector, advanced learners can be asked to

construct a perpendicular line that passes

through a given point.

Upper secondary students can be

asked to prove Viviani’ Theorem from

1600’s

Page 15: NSM in Jakarta Problem Solving in Geometry and Calculus
Page 16: NSM in Jakarta Problem Solving in Geometry and Calculus

Select any point inside the

equilateral triangle.

Construction perpendicular

lines to each side passing

through that point. The sum of

the perpendicular distance of

the point to the sides is equal

to the height of the triangle.

Can you prove it?

See Viviani’s Theorem from

1659.

Page 17: NSM in Jakarta Problem Solving in Geometry and Calculus

application LESSON TYPE

SOURCE textbook

We discussed using three levels to assess students

accurately.

Page 18: NSM in Jakarta Problem Solving in Geometry and Calculus

basic ideas LESSON TYPE

SOURCE textbook

Page 19: NSM in Jakarta Problem Solving in Geometry and Calculus

There was a demonstration

of how the Guided Practice

is done to consolidate and

extend learning.

Page 20: NSM in Jakarta Problem Solving in Geometry and Calculus
Page 21: NSM in Jakarta Problem Solving in Geometry and Calculus

Modeling good reading

techniques to increase

comprehension and develop

metacognition.

Page 22: NSM in Jakarta Problem Solving in Geometry and Calculus