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INVENT YOUR OWN NUMBER SYSTEM
Overview:
The purpose of this assignment is to develop a new number system to be used in place of our current Hindu-Arabic, decimal (base-10) number system.
Outcomes:
At the end of this project, you will have:
– constructed an entirely new set of numerals that is not borrowed from any current or
well-known ancient number system or alphabet
– defined either a positional or non-positional system that is not a variant of the decimal
(base-10) number system or other well-known number system (e.g. Roman Numerals)
– outlined methods for performing basic arithmetic (e.g. adding, subtracting, multiplying
and dividing) on the numbers in your system
Food for thought:
– How did you come up with your numeral system?
– Why did you create it the way you did?
– How would you teach children to use this system? Specifically…
o how would you teach them to count?
o how would you teach them basic arithmetic?
– What are the benefits of this new system?
– What are the drawbacks of this new system, especially in comparison with our current
Hindu-Arabic system?
– Do you believe that you (or anyone else) could improve on our current numeral system?
o If yes, what would need to be done in order to improve the system?
o If no, why do you believe our current system is the pinnacle of human
achievement in the area of numeracy?
Requirements:
– Your assignment should be approx. four (4) pages (to a maximum of 5), double-spaced: o Approx. two (2) pages detailing the number system and explaining arithmetic
o Approx. two (2) pages for your wCreative Assignment #1
INVENT YOUR OWN NUMBER SYSTEM
Overview:
The purpose of this assignment is to develop a new number system to be used in place of our current Hindu-Arabic, decimal (base-10) number system.
Outcomes:
At the end of this project, you will have:
– constructed an entirely new set of numerals that is not borrowed from any current or
well-known ancient number system or alphabet
– defined either a positional or non-positional system that is not a variant of the decimal
(base-10) number system or other well-known number system (e.g. Roman Numerals)
– outlined methods for performing basic arithmetic (e.g. adding, subtracting, multiplying
and dividing) on the numbers in your system
Food for thought:
– How did you come up with your numeral system?
– Why did you create it the way you did?
– How would you teach children to use this system? Specifically…
o how would you teach them to count?
o how would you teach them basic arithmetic?
– What are the benefits of this new system?
– What are the drawbacks of this new system, especially in comparison with our current
Hindu-Arabic system?
– Do you believe that you (or anyone else) could improve on our current numeral system?
o If yes, what would need to be done in order to improve the system?
o If no, why do you believe our current system is the pinnacle of human
achievement in the area of numeracy?
Requirements:
– Your assignment should be approx. four (4) pages (to a maximum of 5), double-spaced: o Approx. two (2) pages detailing the number system and explaining arithmetic
o Approx. two (2) pages for your write-up
– You should follow APA format (e.g. 1-inch margins, 12-point font, double-spaced, etc.)
– The content should be COMPLETELY ORIGINAL (i.e. use of external sources is prohibited)rite-up
– You should follow APA format (e.g. 1-inch margins, 12-point font, double-spaced, etc.)
– The content should be COMPLETELY ORIGINAL (i.e. use of external sources is prohibited)
Rubric
Numeral System 15 marks
o Creativity/Uniqueness 5 marks
o Soundness 5 marks
o Explanation of Arithmetic 5 marks
Food for thought write-up 15 marks
o Rationale/Construction 3 marks
o Teaching to Children 3 marks
o Benefits/Drawbacks 3 marks
o Evaluation of Hindu-Arabic Decimal System 3 marks o APA format 3 marks
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