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PRIMUS
Problems, Resources, and Issues in Mathematics Undergraduate Studies
Volume 21, 2011 - Issue 5
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Original Articles

Examining Preservice Elementary Mathematics Teachers' Understandings About Irrational Numbers

Pages 401-416 | Published online: 30 Jun 2011

REFERENCES

  • Arcavi , A. , Bruckheimer , M. and Ben-Zvi , R. 1987 . History of mathematics for teachers: the case of irrational numbers . For the Learning of Mathematics. , 7 ( 2 ) : 18 – 23 .
  • Fischbein , E. , Jehiam , R. and Cohen , D. 1995 . The concept of irrational numbers in high school students and prospective teachers . Educational Studies in Mathematics. , 29 ( 1 ) : 29 – 44 .
  • National Council of Teachers of Mathematics (NCTM) . 1969 . Historical Topics for the Mathematics Classroom , Washington, DC : NCTM .
  • Peled , I. and Hershkovitz , S. 1999 . Difficulties in knowledge integration: Revisiting Zeno's paradox with irrational numbers . International Journal of Mathematics Education, Science and Technology. , 30 ( 1 ) : 39 – 46 .
  • Sirotic , N. and Zazkis , R. 2007a . Irrational numbers: The gap between formal and intuitive knowledge . Educational Studies in Mathematics. , 65 ( 1 ) : 49 – 76 .
  • Sirotic , N. and Zazkis , R. 2007b . Irrational numbers on the number line—Where are they? . International Journal of Mathematical Education in Science and Technology , 38 ( 4 ) : 477 – 488 .
  • Tirosh, D., E. Fischbein, A. Graeber, A., and J. Wilson. 1998. Prospective elementary teachers’ conceptions of rational numbers http://jwilson.coe.uga.edu/Texts.Folder/Tirosh/Pros.El.Tchrs.html (http://jwilson.coe.uga.edu/Texts.Folder/Tirosh/Pros.El.Tchrs.html) (Accessed: 14 August 2008 ).
  • Zazkis , R. 2005 . Representing numbers: Prime and irrational . International Journal of Mathematical Education in Science and Technology. , 36 ( 2–3 ) : 207 – 218 .
  • Zazkis , R. and Sirotic , N. 2004 . Making sense of irrational numbers: Focusing on representation . Proceedings of 28th International Conference for Psychology of Mathematics Education . 2004 , Bergen, Norway. Edited by: Hoines , M.J. and Fuglestad , A.B. Vol. 4 , pp. 497 – 505 .

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