You are here

PROSPECTIVE ELEMENTARY SCHOOL TEACHERS’ INTERPRETATION OF NON TRADITIONALARITHMETIC OPERATIONS

Journal Name:

Publication Year:

Author NameUniversity of Author
Abstract (2. Language): 
Although standard operational algorithms provide with efficient written methods, they are incompatible with intuitive approaches. Children are expected to interpret problems in meaningful way and link conceptual and calculational aspect of mathematics in primary education in mathematics program. Through encouraging informal written strategies and mental methods, children develop confidence in their own approaches to problem solving and feel enthusiasm for mathematics. In that sense; teachers should encourage their students to use students’ own strategies and accept students’ solutions if it is correct. The aims of this study to reveal prospective elementary school teachers’ interpretation about nontraditional operational algorithms. The participants was 36 prospective elementary mathematics teachers studying in their third year in the departmant of elementary education in Turkey. In this study, qualitative case study design was used to collect data. The findings of this study analyzed into four headings.
29-36

REFERENCES

References: 

Allen, K. C. (2011). Mathematics as Thinking. A Response to “Democracy and School Math”.Democracy and
Education, 19 (2), Article 10.
Anghileri, J. (1998) A discussion of different approaches to arithmetic teaching. Proceedings of the 22nd
Conference on Psychology of Mathematics Education (PME22) Stellenbosch July 12-19 1998
Anghileri, J. (1999) Issues in teaching multiplication and division. In I. Thompson (ed.) Issues in Teaching
Numeracy In Primary Schools. Buckingham: Open University Press
Ball, D.L., Thames, M.H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special?Journal of
Teacher Education, 59(5), 389-407.
DES (1982) Mathematics Counts, report of the Committee of Enquiry into the Teaching of Mathematics in
Schools under the chairmanship of W H Cockcroft. London, HMSO.
Forman, E.A. (2003). A sociocultural approach to mathematics reform: Speaking, inscribing, and doing
mathematics within communities of practice. In J. Kilpatrick, G. Martin, & D. Schifter (Eds.) A research
companion to the NCTM Standards(pp. 333-352). Reston, VA: National Council of Teachers of Mathematics.
Darling- Hammond, L. (1996). The right to learn and the advancement of teaching: Reseach, policy and practice
for democratic education. Educational Researcher, 25 (6), 5-7
Harris, R. (1991). Some ideas for motivating students. Retrieved february 2, 2013 from
http://www.virtualsalt.com/motivate.htm
Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge in mathematics: An introductory
analysis. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics(pp. 1-
27).Hillsdale, NJ: Lawrence Erlbaum Associates.
Lampert, M. (1986). Knowing, doing, and teaching multiplication. Cognition and instruction , 3 , 305 - 342.
Noddings, N. 1993. “Politicising the mathematics classroom,” in Math Worlds: Philosophical and Social Studies
of Mathematics and Mathematics Education. Edited by S. Restivo, J. P. Van Bendegem, and R. Fischer. Albany:
SUNY press.
Nunes, T., Schliemann, A. D., & Carraher, D. W. (1993). Street mathematics a school mathematics. New York:
Cambridge University Press.
Papert, S. (1993). Mindstorms : children, computers, and powerful ideas (2nd/ed.). NewYork: Basic Books.
Skemp R., (1976). Relational understanding and instumental understanding, Mathematics Teaching, 77, 20–26,
Wilkerson H. M., Wilensky J.U. (2011). How do mathematicians learn math? Resorces and acts for constructing
and understanding mathematics, Educ Stud Math, 78, 21- 43
Wilkerson H. M., Wilensky J.U. (2011). How do mathematicians learn math? Resorces and acts for constructing
and understanding mathematics, Educ Stud Math, 78, 21- 43
http://www-personal.umich.edu/~dball/books/DBall_dissertation.pdf Retrieved february 12, 2013.
http://www.nychold.com/em-arith.html

Thank you for copying data from http://www.arastirmax.com