[Today’s class: Arithmetic algorithms from various times and places,

continuation of arithmetic with different number systems]

** **

**Mathematics 115 **

**Homework Assignment #3**

*Due Thursday, January 10, 2002*

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__Prof.__ __Beery's__ __office__ __hours__ __this__
__week__: **
**

Wednesday 1/9 10:30 a.m.-12:30 p.m., 4-5 p.m.

Thursday 1/10 10:30 a.m.-12:30 p.m., 4-5 p.m.

Friday 1/11 1:30 - 3:30 p.m.

or by appointment (x3118)

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* *

__Read__: "Multicultural Mathematics and
Alternative Algorithms"

“Building Cultural Bridges between Home and the Mathematics Classroom”

"Algorist versus the Abacist"

"Adam Riese"

"Multiplication Algorithms of the Fifteenth and Sixteenth Centuries"

__Do__: Answer the following questions
using the "Multicultural Mathematics and Alternative

Algorithms" article and your class notes.

1. Use the Swiss addition method to add
325 and 597. Show __all__ steps.

2. Use the equal addition method to __subtract__
729 from 955. Explain.

3. Use the Italian method to subtract
729 from 955. Show __all__ steps.

4. Use the Egyptian doubling method from class to multiply 11 by 19.

(No, it's not in the article!)

5. Use the Mesopotamian square method from class to multiply 79 by 33.

(No, it's not in the article!)

6. Use the Russian peasant algorithm (duplation and mediation) to multiply

729 by 32.

7. Use the boxes and diagonals method from class to multiply 729 by 432.

(No, it's not in the article!)

8. Use the algorithm used by the "American man of Mexican descent" to multiply

58 by 47.

Answer the following questions about the "Algorist versus the Abacist" and "Adam

Riese" essays.

9. What major change occurring between approximately 1100 and 1600 in Europe

did Adam Riese help bring about? What were some of the obstacles to bringing

about this change?

10. What was Adam Riese's profession? Who were his pupils? Who comprised

the audience for his arithmetic textbooks?

For **Thursday's class,**
please bring a pair of scissors.

**Thursday's quiz** (20 points) will
cover your work from class Tuesday and

Wednesday, along with Assignments #2 and #3 (including reading

and problems).