메뉴 건너뛰기




Volumn 21, Issue 3, 2011, Pages 289-312

How do students misunderstand number representations?

Author keywords

Concept inventory; Misconceptions; Number representations; Pedagogy

Indexed keywords


EID: 80052823857     PISSN: 08993408     EISSN: 17445175     Source Type: Journal    
DOI: 10.1080/08993408.2011.611712     Document Type: Article
Times cited : (13)

References (46)
  • 1
    • 20444489275 scopus 로고    scopus 로고
    • February, Keynote address, presented at the technical symposium on computer science education (SIGCSE), Retrieved from
    • Ben-Ari, M. (2005, February). The Concorde doesn't fly anymore. Keynote address, presented at the technical symposium on computer science education (SIGCSE). Retrieved from http://stwww.weizmann.ac.il/g-cs/benari/articles/concorde.pdf
    • (2005) The Concorde Doesn't Fly Anymore
    • Ben-Ari, M.1
  • 3
    • 0002347038 scopus 로고
    • Algebra word problem solutions: Thought processes underlying a common misconception
    • Clement, J. (1982). Algebra word problem solutions: Thought processes underlying a common misconception. Journal for Research in Mathematics Education, 33(1), 16-30.
    • (1982) Journal for Research in Mathematics Education , vol.33 , Issue.1 , pp. 16-30
    • Clement, J.1
  • 4
    • 59249108426 scopus 로고    scopus 로고
    • A call for action (research): Applying science education research to computer science instruction
    • Clement, J. (2004). A call for action (research): Applying science education research to computer science instruction. Computer Science Education, 14, 343-364.
    • (2004) Computer Science Education , vol.14 , pp. 343-364
    • Clement, J.1
  • 10
    • 0032330948 scopus 로고    scopus 로고
    • Interactive-engagement vs traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses
    • Hake, R. (1998). Interactive-engagement vs traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses. American Journal of Physics, 66, 64-74.
    • (1998) American Journal of Physics , vol.66 , pp. 64-74
    • Hake, R.1
  • 11
    • 33947199278 scopus 로고
    • The initial knowledge state of college physics students
    • Halloun, I.A., & Hestenes, D. (1985). The initial knowledge state of college physics students. American Journal of Physics, 53, 1043-1055.
    • (1985) American Journal of Physics , vol.53 , pp. 1043-1055
    • Halloun, I.A.1    Hestenes, D.2
  • 17
    • 84857035140 scopus 로고    scopus 로고
    • Flip-Flops in students' conceptions of state
    • in press, DOI: 10.1109/TE.2011.2140372
    • Herman, G.L., Loui, M.C., & Zilles, C. (2011a). Flip-Flops in students' conceptions of state. IEEE Transactions on Education (in press). DOI: 10.1109/TE.2011.2140372
    • (2011) IEEE Transactions on Education
    • Herman, G.L.1    Loui, M.C.2    Zilles, C.3
  • 18
    • 80455126097 scopus 로고    scopus 로고
    • Students' misconceptions about medium-scale integrated circuits
    • in press, DOI: 10.1109/TE.2011.2104361
    • Herman, G.L., Loui, M.C., & Zilles, C. (2011b). Students' misconceptions about medium-scale integrated circuits. IEEE Transactions on Education (in press). DOI: 10.1109/TE.2011.2104361
    • (2011) IEEE Transactions on Education
    • Herman, G.L.1    Loui, M.C.2    Zilles, C.3
  • 21
    • 0005818927 scopus 로고
    • Interpreting the force concept inventory: A response to March 1995 critique by Huffman and Heller
    • Hestenes, D., & Halloun, I.A. (1995). Interpreting the force concept inventory: A response to March 1995 critique by Huffman and Heller. The Physics Teacher, 33, 502-506.
    • (1995) The Physics Teacher , vol.33 , pp. 502-506
    • Hestenes, D.1    Halloun, I.A.2
  • 25
    • 0348219453 scopus 로고
    • On fractions and non-standard representations: Preservice teachers' concepts
    • Khoury, H.A., & Zazkis, R. (1994). On fractions and non-standard representations: Preservice teachers' concepts. Educational Studies in Mathematics, 27, 191-204.
    • (1994) Educational Studies in Mathematics , vol.27 , pp. 191-204
    • Khoury, H.A.1    Zazkis, R.2
  • 29
    • 84869137780 scopus 로고    scopus 로고
    • A multi-national, multi-institutional study of assessment of programming skills of first-year CS students
    • (WGR), New York, NY: ACM
    • McCracken, M., Almstrum, V., Diaz, D., Guzdial, M., Hagan, D., Kolikant, Y.B.D., Wilusz, T. (2001). A multi-national, multi-institutional study of assessment of programming skills of first-year CS students. In ITiCSE-Working Group Reports (WGR) (pp. 125-180). New York, NY: ACM.
    • (2001) ITiCSE-Working Group Reports , pp. 125-180
    • McCracken, M.1    Almstrum, V.2    Diaz, D.3    Guzdial, M.4    Hagan, D.5    Kolikant, Y.B.D.6    Wilusz, T.7
  • 30
    • 13844264286 scopus 로고    scopus 로고
    • Number concept and conceptual change: Outlines for new teaching strategies
    • Merenluoto, K., & Lehtinen, E. (2004). Number concept and conceptual change: Outlines for new teaching strategies. Learning and Instruction, 14, 519-534.
    • (2004) Learning and Instruction , vol.14 , pp. 519-534
    • Merenluoto, K.1    Lehtinen, E.2
  • 31
    • 37349132506 scopus 로고    scopus 로고
    • Facts and myths about pedagogies of engagement in science learning
    • Mestre, J.P. (2005). Facts and myths about pedagogies of engagement in science learning. Peer Review, 7, 24-27.
    • (2005) Peer Review , vol.7 , pp. 24-27
    • Mestre, J.P.1
  • 33
    • 0007381118 scopus 로고    scopus 로고
    • Changes with age in students' conceptions of decimal notation
    • Moloney, K., & Stacey, K. (1997). Changes with age in students' conceptions of decimal notation. Mathematics Education Research Journal, 9(1), 25-38.
    • (1997) Mathematics Education Research Journal , vol.9 , Issue.1 , pp. 25-38
    • Moloney, K.1    Stacey, K.2
  • 34
    • 13844272995 scopus 로고    scopus 로고
    • Making sense of what students know: Examining the referents, relationships, and modes students displayed in response to a decimal task
    • Moskal, B.M., & Magone, M.E. (2000). Making sense of what students know: Examining the referents, relationships, and modes students displayed in response to a decimal task. Educational Studies in Mathematics, 43, 313-335.
    • (2000) Educational Studies in Mathematics , vol.43 , pp. 313-335
    • Moskal, B.M.1    Magone, M.E.2
  • 35
    • 15944425784 scopus 로고    scopus 로고
    • Teaching and learning fraction and rational numbers: The origins and implications the whole number bias
    • Ni, Y., & Zhou, Y.D. (2005). Teaching and learning fraction and rational numbers: the origins and implications the whole number bias. Educational Psychologist, 40(1), 27-52.
    • (2005) Educational Psychologist , vol.40 , Issue.1 , pp. 27-52
    • Ni, Y.1    Zhou, Y.D.2
  • 36
    • 3042794272 scopus 로고    scopus 로고
    • "Can any fraction be turned into a decimal?" A case study of a mathematical group discussion
    • O'Connor, M.C. (2001). "Can any fraction be turned into a decimal?" A case study of a mathematical group discussion. Educational Studies in Mathematics, 46, 143-185.
    • (2001) Educational Studies in Mathematics , vol.46 , pp. 143-185
    • O'Connor, M.C.1
  • 38
    • 84963145915 scopus 로고
    • Intermediate cognitive organization in the process of learning a mathematical concept: The order of positive decimal numbers
    • Sackur-Grisvard, C., & Leonard, F. (1985). Intermediate cognitive organization in the process of learning a mathematical concept: The order of positive decimal numbers. Cognition and Instruction, 2, 157-174.
    • (1985) Cognition and Instruction , vol.2 , pp. 157-174
    • Sackur-Grisvard, C.1    Leonard, F.2
  • 39
    • 13844292565 scopus 로고    scopus 로고
    • Students' understanding of the numerical value of fractions: A conceptual change approach
    • Stafylidou, S., & Vosniadou, S. (2004). Students' understanding of the numerical value of fractions: A conceptual change approach. Learning and Instruction, 14, 503-518.
    • (2004) Learning and Instruction , vol.14 , pp. 503-518
    • Stafylidou, S.1    Vosniadou, S.2
  • 40
    • 33645132534 scopus 로고    scopus 로고
    • Melbourne, Australia: Department of Science and Mathematics Education, University of Melbourne. Retrieved from
    • Steinle, V. (2004). Changes with age in students misconception of decimal numbers. Melbourne, Australia: Department of Science and Mathematics Education, University of Melbourne. Retrieved from http://eprints.unimelb.edu.au/archive/00001531/
    • (2004) Changes with Age in Students Misconception of Decimal Numbers
    • Steinle, V.1
  • 43
    • 34548769568 scopus 로고    scopus 로고
    • Hoboken, NJ: John Wiley & Sons
    • Vahid, F. (2006). Digital design. Hoboken, NJ: John Wiley & Sons.
    • (2006) Digital Design
    • Vahid, F.1
  • 44
    • 80052844857 scopus 로고    scopus 로고
    • How many numbers are there in a rational numbers interval? Constraints, synthetic models and the effect of the number line
    • S. Vosniadou, A. Baltas, & X. Vamvakoussi (Eds.), Oxford: Elsevier
    • Vamvakoussi, X., & Vosniadou, S. (2007). How many numbers are there in a rational numbers interval? Constraints, synthetic models and the effect of the number line. In S. Vosniadou, A. Baltas, & X. Vamvakoussi (Eds.), Reframing the conceptual change approach in learning and instruction (pp. 265-282). Oxford: Elsevier.
    • (2007) Reframing the Conceptual Change Approach in Learning and Instruction , pp. 265-282
    • Vamvakoussi, X.1    Vosniadou, S.2
  • 46
    • 0346740639 scopus 로고
    • Determining the sources of error in a translation from sentence to equation
    • Wollman, W. (1983). Determining the sources of error in a translation from sentence to equation. Journal for Research in Mathematics Education, 14, 169-181.
    • (1983) Journal for Research in Mathematics Education , vol.14 , pp. 169-181
    • Wollman, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.