Mathematics vis-à-vis Arithmetics

Hanna Savion, Michal Seri

Abstract


This study engages in the two terms arithmetics and mathematics which are frequently interpreted as having an identical meaning. Pupils and elementary school mathematics pre-service teachers use those terms as if they were the same. This study clarifies these terms and explores their definition among pre-service teachers as well as 6th and 7th grade pupils. Presentation of a historical sequence focuses on the development of and relation between arithmetics and the various areas of mathematics. Later on, we elaborate the terms arithmetics and mathematics as they are meant to be understood by and explained to the learners and present the way they are perceived by pupils and pre-service teachers. The research findings illustrate the confusion these terms create.


Keywords


arithmetics, mathematics, pre-service teachers

Full Text:

PDF

References


Aharoni, R. (2011). Arithmetics for parents: A book for adults about mathematics of children. Tel Aviv: Shocken Publishing House. [Hebrew]

Arbel, B. (2005). A brief history of mathematics. Tel Aviv: MOFET Institute. [Hebrew]

Avnion, A. (Eds.) (1997). Sapir Dictionary. Tel Aviv: Hed Artzi/Itav. [Hebrew]

Bergamini, D. & Life Editors (1970). Mathematics. Tel Aviv: Maariv Library Publishers. [Hebrew]

Dagon, S. (1955). History of ancient mathematics. Tel Aviv: Dvir Publishing. [Hebrew]

Gazit, A. (2004). Eureka…! About people who loved to think and compute. Herzelia: Geist. [Hebrew]

Hashiv. (unknown). Who doesn't understand mathematics. http://www.hashiv.co.il/28156/math-article1. Accessed 16.12.2014. [Hebrew]

Hebrew Encyclopaedia (1953). Arithmetics (vol. 5, p. 877). Tel-Aviv: Society for the Publication of Encyclopaedias Ltd. [Hebrew]

Hebrew Encyclopaedia (1972). Mathematics (vol. 24, p. 750). Tel-Aviv: Society for the Publication of Encyclopaedias Ltd. [Hebrew]

Ministry of Education, Culture and Sport (2006). Curriculum of mathematics for elementary schools. Jerusalem: Pedagogical Secretariat, Department of Curricula Planning and Development. http://meyda.education.gov.il/files/Tochniyot_Limudim/Math/Yesodi/mavo1.pdf

Accessed 16.12.2014. [Hebrew]

Peterson (Doctor Peterson) (2001). The Math Forum. Difference Between Math and Arithmetic. http://mathforum.org/library/drmath/view/52282.html. Accessed 22.12.2014.

Smith, D.E. (1958). History of Mathematics. Vol. II. New York: Dover Publications, Inc.

Stevens, H. (2011). Math vs. arithmetics. Tribune Newspapers. http://articles.chicagotribune.com/2011-01-26/features/ct-tribu-words-work-math-20110126_1_arithmetic-math-class-answer-math-questions. Accessed 22.12.2014.

STIPS site (2011). What is the difference between mathematics and arithmetics?. http://www.stips.co.il/ask/224764/%D7%9E%D7%94-%D7%94%D7%94%D7%91%D7%93%D7%9C-%D7%91%D7%99%D7%9F-%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94-%D7%9C%D7%97%D7%A9%D7%91%D7%95%D7%9F. Accessed 10.1.2015. [Hebrew]

Turgeman, A. (2006). Hebrew mathematics in Hebrew. Mispar Hazak 2000, 12, 55-62.

Unguru, S. (1989a). Introduction to the history of mathematics. Part I: Ancient times and the Middle Ages. Tel Aviv: Ministry of Defence Publications. [Hebrew]

Unguru, S. (1989b). Introduction to the history of mathematics. Part II: The Renaissance and the New Age. Aviv: Ministry of Defence Publications. [Hebrew]

Weintraub, I. (2004). What is the difference between Arithmetic and Mathematics? http://www.mathmedia.com/whatisdifbet.html. Accessed 9.1.2015

Wikipedia the Free Encyclopedia. Definitions of Arithmetics and Mathematics. https://he.wikipedia.org/wiki/%D7%90%D7%A8%D7%99%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94. https://he.wikipedia.org/wiki/%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94. Accessed 18.11.2014. [Hebrew]


Refbacks

  • There are currently no refbacks.


e-ISSN: 1694-2116

p-ISSN: 1694-2493