References and Resources

Bender, A., & Beller, S. (2012). Nature and culture of finger counting: Diversity and representational effects of an embodied cognitive tool. Cognition, 124, 156–182. https://doi.org/10.1016/j.cognition.2012.05.005

Sherouse, P. (2014). Hazardous digits: Telephone keypads and Russian numbers in Tbilisi, Georgia. Language and Communication, 37, 1–11. https://doi.org/10.1016/j.langcom.2014.03.001

Méndez, M. (2010). The vigesimal numeral system: Another logic for constructing and using amounts in the Maya culture's community practices. Cultural-Historical Psychology, 4, 69-74.

Cycleback D. (2014). A brief introduction to ancient counting systems for the non-mathematician. Hamerweit Books.

Ndimele, O., & Chan, S. L. (Eds.). (2016). The numeral systems of Nigerian languages. https://ebookcentral-proquest-com.dist.lib.usu.edu

Ifrah, G. (2000). The universal history of numbers : from prehistory to the invention of the computer. (D. Bellos, Trans.). New York, NY: Wiley. (Original work published 1994)

Heller, S. (2015). Numer-o-typology. Print, 69(4), 54-57.

Hollings, C. (2009). An analysis of nonpositional numeral systems. Mathematical Intelligencer, 31(2), 15-23.

Bender, A. & Beller, S. (2017). The power of 2: How an apparently irregular numeration system facilitates mental arithmetic. Cognitive Science, 41(1), 158-187.

Kurz, T., Yanik, H. B., & Lee, M. Y. (2016). Dog mathematics: Exploring base-4. Clearing House, 89(6), 185-190.

Morton, R. L. (1964). Reciprocal expressions in different numeral systems. School Science & Mathematics, 64(6), 503-512.

Lande, D. R. (2014). Development of the binary number system and the foundations of computer science. Mathematics Enthusiast, 11(3), 513-540.

Jacoby, D. & Copan P. (2019). The Ancient Impact and Modern Implications of Genesis 1-11. New York, NY: Morgan James Publishing.

Chrisomalis, S. (2010). Numerical notation: A comparative history. New York, NY: Cambridge University Press. Rooney, A. (2013). A History of Mathematics. New York, NY: Rosen Publishing.

Resources

Pace Academy Gib (2015, November 23). How to convert any number system to decimal system [Video File]. Retrieved from https://www.youtube.com/watch?v=Qs745gDzvSs

Techquickie (2014, June 15). Binary Numbers and Base Systems As Fast As Possible [Video File]. Retrieved from https://www.youtube.com/watch?v=LpuPe81bc2w

King, A [TED-Ed] (2017, January 19). A brief history of numerical systems [Video File]. Retrieved from https://www.youtube.com/watch?v=cZH0YnFpjwU

Numberphile (2012, December 11). Base 12 [Video File]. Retrieved from https://www.youtube.com/watch?v=U6xJfP7-HCc

Okrent, A (2012, December 12). 12 Mind Blowing Number Systems From Other Languages. Retrieved from http://mentalfloss.com/article/31879/12-mind-blowing-number-systems-other-languages

Wichita State University Department of Mathematics and Statistics (2000). Number Systems. Retrieved from http://www.math.wichita.edu/history/topics/num-sys.html

Lumen Learning (2018). Early Counting Systems. Retrieved from https://courses.lumenlearning.com/wmopen-mathforliberalarts/chapter/early-counting-systems/

Bogomolny, A. (2018). Soroban in various number systems. Retrieved from http://www.cut-the-knot.org/Curriculum/Arithmetic/Soroban.shtml

Burk, P., Polanski, L., Repetto, D., Roberts, M., & Rockmore, D. (2011). Binary Numbers. In Music and Computers: A Theoretical and Historical Approach (2.4). Retrieved from http://sites.music.columbia.edu/cmc/MusicAndComputers/chapter2/02_04.php

CodeNewbie [Producer], Joshi, V. & Yitbarek S. [Co-Hosts] (2017, November 6). Bits, Binary, and Bytes [Season 1, Episode 1]. Base.cs. Retrieved from https://radiopublic.com/basecs-podcast-Wk2Oal/ep/s1!77ea7