Multiplication algorithms

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· A cover page with your name, a title, COR 314.

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· A minimum of 3 pages worth of content, no more than 1.5 line spacing, not counting your cover page. (Note that a submission that is 2.99 pages or less will receive a significant grade reduction.)

· Relevant citations of at least two scholarly works (textbooks, journal articles, etc.) and the use of appropriate parenthetical citations using a consistent format, APA for example.

Note that websites such as Wikipedia, for example, are not considered scholarly. Websites ending with .edu are acceptable. I will not accept the dictionary as an additional source.

· A reference list in your chosen format listing all sources that you cite in your assignment.

If you have a parenthetical citation in the body of your reflection, then the source should be listed in your references. If you have a source listed in your references, then it should be cited somewhere in the body of your reflection.

· Content that sufficiently touches on the categories listed in the rubric in the class syllabus. I strongly recommend that you proofread your assignment before submitting it.

Instructions for this Assignment: Part I:

There are many algorithms for multiplication. You will choose three methods to investigate. Your three choices must have my approval, given by a return email from me stating “Approved”, by Tuesday, October 8, 10:00pm. See page 2 for additional information for submitting methods for

approval. For the methods chosen, complete the following:

1. 1) Explain each method.

2. 2) Discuss the history and uses of each method.

3. 3) Explain how they are the same and how they are different.

4. 4) Give pros and cons of each method (plural: means more than one).

5. 5) Consider the underlying conceptual ideas involved in the methods you choose and

Part II:

discuss the strengths and weaknesses that can be uncovered in pursuing these methods.

Elaborate when answering these questions and be sure to consult the rubric to be certain you are addressing all categories.

Research and explore the method of Casting out nines as it relates to basic arithmetic. At this stage you should be able to explore the method using concepts presented in class, i.e. modular arithmetic, number construction, etc. Investigate strengths and limitations and relate it to the various check digit implementations we have discussed. If possible, apply the method to the multiplication methods chosen in Part I. (See also casting out elevens).

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