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Volumn 25, Issue 4, 2009, Pages 358-374

From bar diagrams to letter-symbolic algebra: a technology-enabled bridging: Original article

Author keywords

Conceptual change; Intelligent feedback; Learning of algebra; Mathematics; Pedagogy and technology integration; Scaffolding

Indexed keywords


EID: 68149126702     PISSN: 02664909     EISSN: 13652729     Source Type: Journal    
DOI: 10.1111/j.1365-2729.2009.00313.x     Document Type: Article
Times cited : (10)

References (18)
  • 1
    • 0003012180 scopus 로고    scopus 로고
    • Emergence and development of algebra as a problem-solving tool: continuities and discontinuities with arithmetic
    • In. eds. N. Bednarz. C. Kieran. L. Lee. pp. Kluwer, Dordrecht. the Netherlands.
    • Bednarz N. Janvier B. (1996) Emergence and development of algebra as a problem-solving tool: continuities and discontinuities with arithmetic. In Approaches to Algebra (eds N. Bednarz, C. Kieran L. Lee pp. 115 136. Kluwer, Dordrecht, the Netherlands.
    • (1996) Approaches to Algebra , pp. 115-136
    • Bednarz, N.1    Janvier, B.2
  • 2
    • 84935412703 scopus 로고
    • Design experiments: theoretical and methodological challenges in creating complex interventions in classroom settings
    • Brown A.L. (1992) Design experiments: theoretical and methodological challenges in creating complex interventions in classroom settings. The Journal of the Learning Sciences 2, 141 178.
    • (1992) The Journal of the Learning Sciences , vol.2 , pp. 141-178
    • Brown, A.L.1
  • 3
    • 0003809019 scopus 로고
    • The Belknap Press of Harvard University Press. Cambridge, MA.
    • Bruner J.S. (1966) Toward a Theory of Instruction. The Belknap Press of Harvard University Press, Cambridge, MA.
    • (1966) Toward a Theory of Instruction.
    • Bruner, J.S.1
  • 4
    • 67649647400 scopus 로고    scopus 로고
    • The development of students' letter-symbolic algebraic thinking in earlier grades: a cross-cultural comparative perspective
    • Cai J., Lew H.C., Morris A., Moyer J.C., Ng S.F. Schmittau J. (2005) The development of students' letter-symbolic algebraic thinking in earlier grades: a cross-cultural comparative perspective. Zentralblatt für Didaktik der Mathematik 37, 1 11.
    • (2005) Zentralblatt für Didaktik der Mathematik , vol.37 , pp. 1-11
    • Cai, J.1    Lew, H.C.2    Morris, A.3    Moyer, J.C.4    Ng, S.F.5    Schmittau, J.6
  • 6
    • 0003016834 scopus 로고
    • Towards a design science of education
    • In. eds. E. Scanlon. T. O'Shea. pp. Springer. Berlin.
    • Collins A. (1992) Towards a design science of education. In New Directions in Educational Technology (eds E. Scanlon T. O'Shea pp. 15 22. Springer, Berlin.
    • (1992) New Directions in Educational Technology , pp. 15-22
    • Collins, A.1
  • 8
    • 0012953281 scopus 로고    scopus 로고
    • U.S., Singapore agree to cooperate on math and science
    • Available at. (last accessed 3 March 2009).
    • Hoff J.D. (2002) U.S., Singapore agree to cooperate on math and science. Education Week 22, 10. Available at: http://www.edweek.org/ew/articles/2002/09/ 18/03singapore.h22.html (last accessed 3 March 2009).
    • (2002) Education Week , vol.22 , pp. 10
    • Hoff, J.D.1
  • 10
    • 68149154245 scopus 로고    scopus 로고
    • The model-drawing method with algebra
    • In. ed. P.Y. Lee. pp. McGraw-Hill Education. Singapore.
    • Kho T.H. (2007) The model-drawing method with algebra. In Teaching Secondary School Mathematics: A Resource Book (ed. P.Y. Lee pp. 393 412. McGraw-Hill Education, Singapore.
    • (2007) Teaching Secondary School Mathematics: A Resource Book , pp. 393-412
    • Kho, T.H.1
  • 11
    • 85085443275 scopus 로고
    • The early learning of algebra: a structural perspective
    • In. eds. S. Wagner. C. Kieran. pp. National Council of Teachers of Mathematics. Reston, VA.
    • Kieran C. (1989) The early learning of algebra: a structural perspective. In Research Issues in the Learning and Teaching of Algebra (eds S. Wagner C. Kieran pp. 33 56. National Council of Teachers of Mathematics, Reston, VA.
    • (1989) Research Issues in the Learning and Teaching of Algebra , pp. 33-56
    • Kieran, C.1
  • 12
    • 63649131905 scopus 로고    scopus 로고
    • How secondary two express stream students used letter-symbolic algebra and the model method to solve problems
    • Ng S.F. (2003) How secondary two express stream students used letter-symbolic algebra and the model method to solve problems. The Mathematics Educator 7, 1 17.
    • (2003) The Mathematics Educator , vol.7 , pp. 1-17
    • Ng, S.F.1
  • 13
    • 63649160669 scopus 로고    scopus 로고
    • Model method: obstacle or bridge to learning symbolic algebra
    • In. eds. W. Bokhorst-Heng. M. Osborne. K. Lee. pp. Sense Publishers. Rotterdam, the Netherlands.
    • Ng S.F., Lee K., Ang S.Y. Khng F. (2006) Model method: obstacle or bridge to learning symbolic algebra. In Redesigning Pedagogies: Reflections from Theory and Praxis (eds W. Bokhorst-Heng, M. Osborne K. Lee pp. 227 242. Sense Publishers, Rotterdam, the Netherlands.
    • (2006) Redesigning Pedagogies: Reflections from Theory and Praxis , pp. 227-242
    • Ng, S.F.1    Lee, K.2    Ang, S.Y.3    Khng, F.4
  • 15
    • 68149173810 scopus 로고    scopus 로고
    • TIMSS. Available at. (last accessed 3 March 2009).
    • TIMSS (2008) Trends in International Mathematics and Science Study (TIMSS). Available at: http://nces.ed.gov/timss/tables03.asp (last accessed 3 March 2009).
    • (2008)
  • 16
    • 68149173809 scopus 로고    scopus 로고
    • U.S. schools importing Singaporean texts
    • Viadero D. (2000) U.S. schools importing Singaporean texts. Education Week 20, 8.
    • (2000) Education Week , vol.20 , pp. 8
    • Viadero, D.1
  • 17
    • 34248138397 scopus 로고    scopus 로고
    • Examining mathematics learning from a conceptual change point of view: implications for the design of learning environments
    • In. eds. L. Verschaffel. F. Dochy. M. Boekaerts. S. Vosniadou. pp. Advances in Learning and Instruction Series, Elsevier. Oxford, UK.
    • Vosniadou S. Vamvakoussi X. (2005) Examining mathematics learning from a conceptual change point of view: implications for the design of learning environments. In Instructional Psychology: Past, Present and Future Trends - Fifteen Essays in Honour of Erik De Corte eds L. Verschaffel, F. Dochy, M. Boekaerts S. Vosniadou pp. 55 70. Advances in Learning and Instruction Series, Elsevier, Oxford, UK.
    • (2005) Instructional Psychology: Past, Present and Future Trends - Fifteen Essays in Honour of Erik De Corte , pp. 55-70
    • Vosniadou, S.1    Vamvakoussi, X.2
  • 18
    • 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.