By Tatyana Tatyana FinkelsteinFinkelstein

Spring 2005–Summer 2006

Featuring:

Some practical examples of how we may use

modern technology in our mathematics

classroom.

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Teachers: Engage students through project and inquiry based instruction. Strengthen pedagogy and curriculum by focusing on teaching STEM content for understanding.

Students: Improve content knowledge in science, technology, engineering, and math.

River Crossing with 3 Things

Task: Move all 3 things to the other bank.

Cat is the pilot, he always stays on the boat.

Only 1 passenger allowed on the boat.

Wolf will eat Goat. Goat will eat Cabbage.

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River Crossing with 8 People

Task: Move all 8 people to the other bank.

☻ Someone must be on the raft to pilot it, but no more than 2 people.

☻ Children cannot go on the raft without adults.

☻ Policeman won’t leave Inmate with anyone.

☻ Mom won’t leave either Girl with Dad.

☻ Dad won’t leave either Boy with Mom.

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Binary Counter Algorithm

with “The Incredible Machine”(TIM Contraptions - 2000 - Sierra.com) Task: Explain this machine.

Hands-on constructive experience. Building a virtual machine is even more fun than a real physical machine. While at it, learn about algorithms and how a computer processor works. Exactly what is going on? What number is shown here?

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Another Binary Counterwith “Kye”

Task: Figure out what is going on in this puzzle.

The green circle (Kye) is you. -- A sticky thing (a magnet). -- A one-way door only lets you go out, but not back in. -- A diamond: get all the diamonds, and the puzzle is solved. What number is shown here? At 1 move per second, how long will it take to solve this puzzle?

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