메뉴 건너뛰기




Volumn 31, Issue 1, 2010, Pages 9-29

Reconceptualising Word Problems as Exercises in Mathematical Modelling;Die Rekonzeptualisierung von Textaufgaben als Übungen in mathematischer Modellierung

Author keywords

Classroom practices; Didactical contract; Mathematical sense making; Socio mathematical norms; Word problems

Indexed keywords


EID: 80051952631     PISSN: 01735322     EISSN: 18692699     Source Type: Journal    
DOI: 10.1007/s13138-010-0007-x     Document Type: Article
Times cited : (65)

References (72)
  • 2
    • 84869443635 scopus 로고    scopus 로고
    • How do students and teachers deal with modelling problems
    • C. Haines, P. Galbraith, W. Blum, and S. Khan (Eds.), Chichester: Horwood
    • Blum, W., & Leiß, D. (2007). How do students and teachers deal with modelling problems? In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling: Education, engineering, and economics (pp. 222-231). Chichester: Horwood.
    • (2007) Mathematical Modelling: Education, Engineering, and Economics , pp. 222-231
    • Blum, W.1    Leiß, D.2
  • 3
    • 0010187979 scopus 로고
    • Applied mathematical problem solving, modelling, applications, and links to other subjects-state, trends, and issues in mathematics education
    • Blum, W., & Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects-state, trends, and issues in mathematics education. Educational Studies in Mathematics, 22, 37-68.
    • (1991) Educational Studies in Mathematics , vol.22 , pp. 37-68
    • Blum, W.1    Niss, M.2
  • 5
    • 84979426886 scopus 로고
    • When do girls prefer football to fashion? An analysis of female underachievement in relation to "realistic" mathematical contexts
    • Boaler, J. (1994). When do girls prefer football to fashion? An analysis of female underachievement in relation to "realistic" mathematical contexts. British Educational Research Journal, 20, 551-564.
    • (1994) British Educational Research Journal , vol.20 , pp. 551-564
    • Boaler, J.1
  • 6
    • 84873252791 scopus 로고    scopus 로고
    • Working towards teaching realistic mathematical modelling and problem posing in Italian classrooms
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Bonotto, C. (2009). Working towards teaching realistic mathematical modelling and problem posing in Italian classrooms. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 297-314). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 297-314
    • Bonotto, C.1
  • 7
    • 84873268060 scopus 로고    scopus 로고
    • I problemi di matematica nella scuola primaria: Sull'attivazione o meno di conoscenze di tipo realistico
    • C. Bonotto (Ed.), Lecce: La Biblioteca Pensa Multimedia
    • Bonotto, C., & Wilczewski, E. (2007). I problemi di matematica nella scuola primaria: Sull'attivazione o meno di conoscenze di tipo realistico. In C. Bonotto (Ed.), Quotidianizzare la matematica (pp. 101-134). Lecce: La Biblioteca Pensa Multimedia.
    • (2007) Quotidianizzare La Matematica , pp. 101-134
    • Bonotto, C.1    Wilczewski, E.2
  • 8
    • 0003599607 scopus 로고    scopus 로고
    • Edited and translated by N. Balacheff, M. Cooper, R. Sutherland, & V. Warfield, Dordrecht: Kluwer
    • Brousseau, G. (1997). Theory of didactical situations in mathematics. Dordrecht: Kluwer. Edited and translated by N. Balacheff, M. Cooper, R. Sutherland, & V. Warfield.
    • (1997) Theory of Didactical Situations in Mathematics
    • Brousseau, G.1
  • 9
    • 24944508115 scopus 로고
    • Mathematical applications in school curriculum
    • 2nd edn., T. Husén and T. N. Postlethwaite (Eds.), Oxford: Pergamon Press
    • Burkhardt, H. (1994). Mathematical applications in school curriculum. In T. Husén, & T. N. Postlethwaite (Eds.), The international encyclopedia of education (2nd ed., pp. 3621-3624). Oxford: Pergamon Press.
    • (1994) The International Encyclopedia of Education , pp. 3621-3624
    • Burkhardt, H.1
  • 11
    • 33746772017 scopus 로고    scopus 로고
    • Classroom practices for context of mathematics word problems
    • Chapman, O. (2006). Classroom practices for context of mathematics word problems. Educational Studies in Mathematics, 62, 211-230.
    • (2006) Educational Studies in Mathematics , vol.62 , pp. 211-230
    • Chapman, O.1
  • 13
    • 0000479641 scopus 로고    scopus 로고
    • Anyone for tennis? Social class differences in children's responses to National Curriculum mathematics testing
    • Cooper, B., & Dunne, M. (1998). Anyone for tennis? Social class differences in children's responses to National Curriculum mathematics testing. Sociological Review, 46, 115-148.
    • (1998) Sociological Review , vol.46 , pp. 115-148
    • Cooper, B.1    Dunne, M.2
  • 14
    • 84873276859 scopus 로고    scopus 로고
    • Realistic contexts, mathematics assessment, and social class: Lessons for policy from an English research programme
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Cooper, B., & Harries, T. (2009). Realistic contexts, mathematics assessment, and social class: Lessons for policy from an English research programme. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 93-110). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 93-110
    • Cooper, B.1    Harries, T.2
  • 16
    • 0009299656 scopus 로고    scopus 로고
    • A division problem with a remainder embedded across two contexts: Children's solutions in restrictive versus real-world settings
    • DeFranco, T. C., & Curcio, F. R. (1997). A division problem with a remainder embedded across two contexts: Children's solutions in restrictive versus real-world settings. Focus on Learning Problems in Mathematics, 19(2), 58-72.
    • (1997) Focus on Learning Problems in Mathematics , vol.19 , Issue.2 , pp. 58-72
    • DeFranco, T.C.1    Curcio, F.R.2
  • 17
    • 84873275782 scopus 로고    scopus 로고
    • Analysis of the realistic nature of word problems in upper elementary mathematics education in Flanders
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Depaepe, F., De Corte, E., & Verschaffel, L. (2009a). Analysis of the realistic nature of word problems in upper elementary mathematics education in Flanders. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 245-264). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 245-264
    • Depaepe, F.1    de Corte, E.2    Verschaffel, L.3
  • 18
    • 72149128478 scopus 로고    scopus 로고
    • Teachers' approaches towards word problem solving: Elaborating or restricting the problem context
    • doi:10.1016/j.tate.2009.03.016
    • Depaepe, F., De Corte, E., & Verschaffel, L. (2009b). Teachers' approaches towards word problem solving: Elaborating or restricting the problem context. Teaching and Teacher Education. doi: 10. 1016/j. tate. 2009. 03. 016.
    • (2009) Teaching and Teacher Education
    • Depaepe, F.1    de Corte, E.2    Verschaffel, L.3
  • 19
    • 79959686058 scopus 로고    scopus 로고
    • Developing a critical mathematical numeracy through real real-world word problems
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Frankenstein, M. (2009). Developing a critical mathematical numeracy through real real-world word problems. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 111-130). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 111-130
    • Frankenstein, M.1
  • 20
    • 84855912272 scopus 로고    scopus 로고
    • How and why secondary mathematics teachers make (or don't make) real-world connections in teaching
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Gainsburg, J. (2009). How and why secondary mathematics teachers make (or don't make) real-world connections in teaching. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 265-282). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 265-282
    • Gainsburg, J.1
  • 21
    • 54049103876 scopus 로고    scopus 로고
    • An exchange about word problems
    • Gerofsky, S. (1997). An exchange about word problems. For the Learning of Mathematics, 17(2), 22-23.
    • (1997) For the Learning of Mathematics , vol.17 , Issue.2 , pp. 22-23
    • Gerofsky, S.1
  • 22
    • 84873259925 scopus 로고    scopus 로고
    • Genre, simulacra, impossible exchange, and the real: How postmodern theory problematizes word problems
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Gerofsky, S. (2009). Genre, simulacra, impossible exchange, and the real: How postmodern theory problematizes word problems. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 21-38). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 21-38
    • Gerofsky, S.1
  • 23
    • 0000683216 scopus 로고
    • The modelling perspective on wor(l)d problems
    • Greer, B. (1993). The modelling perspective on wor(l)d problems. Journal of Mathematical Behavior, 12, 239-250.
    • (1993) Journal of Mathematical Behavior , vol.12 , pp. 239-250
    • Greer, B.1
  • 24
    • 0031489603 scopus 로고    scopus 로고
    • Modelling reality in mathematics classrooms: The case of word problems
    • Greer, B. (1997). Modelling reality in mathematics classrooms: The case of word problems. Learning and Instruction, 7, 293-307.
    • (1997) Learning and Instruction , vol.7 , pp. 293-307
    • Greer, B.1
  • 25
    • 84880826029 scopus 로고    scopus 로고
    • Modelling competencies-overview
    • W. Blum, P. L. Galbraith, H.-W. Henn, and M. Niss (Eds.), New York: Springer
    • Greer, B., & Verschaffel, L. (2007). Modelling competencies-overview. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education (ICMI Study 14) (pp. 219-224). New York: Springer.
    • (2007) Modelling and Applications in Mathematics Education (ICMI Study 14) , pp. 219-224
    • Greer, B.1    Verschaffel, L.2
  • 26
    • 14644412570 scopus 로고    scopus 로고
    • Commentary: Cost and benefit of modelling activity
    • Hatano, G. (1997). Commentary: Cost and benefit of modelling activity. Learning and Instruction, 7, 383-387.
    • (1997) Learning and Instruction , vol.7 , pp. 383-387
    • Hatano, G.1
  • 29
    • 14644426016 scopus 로고    scopus 로고
    • The realistic reasons behind unrealistic solutions: The role of interpretive activity in word problem solving
    • Inoue, N. (2005). The realistic reasons behind unrealistic solutions: The role of interpretive activity in word problem solving. Learning and Instruction, 15, 69-83.
    • (2005) Learning and Instruction , vol.15 , pp. 69-83
    • Inoue, N.1
  • 31
    • 84873244337 scopus 로고    scopus 로고
    • Modelling in lower secondary classrooms-Problems and chances
    • W. Blum, P. Galbraith, H. Henn, and M. Niss (Eds.), New York: Springer
    • Kaiser, G., & Maaß, K. (2007). Modelling in lower secondary classrooms-Problems and chances. In W. Blum, P. Galbraith, H. Henn, & M. Niss (Eds.), Modelling and applications in mathematics education (pp. 99-108). New York: Springer.
    • (2007) Modelling and Applications in Mathematics Education , pp. 99-108
    • Kaiser, G.1    Maaß, K.2
  • 32
    • 85066269882 scopus 로고
    • Word problems: A microcosm of theories of learning
    • P. Light and G. Butterworth (Eds.), New York: Harvester Wheatsheaf
    • Lave, J. (1992). Word problems: A microcosm of theories of learning. In P. Light, & G. Butterworth (Eds.), Context and cognition: Ways of learning and knowing (pp. 74-92). New York: Harvester Wheatsheaf.
    • (1992) Context and Cognition: Ways of Learning and Knowing , pp. 74-92
    • Lave, J.1
  • 33
    • 0013064630 scopus 로고    scopus 로고
    • Modelling in mathematics and science
    • R. Glaser (Ed.), Mahwah: Lawrence Erlbaum
    • Lehrer, R., & Schauble, L. (2000). Modelling in mathematics and science. In R. Glaser (Ed.), Advances in instructional psychology (Vol. 5.) Mahwah: Lawrence Erlbaum.
    • (2000) Advances in Instructional Psychology , vol.5
    • Lehrer, R.1    Schauble, L.2
  • 34
    • 84865027505 scopus 로고    scopus 로고
    • Differing conceptions of problem solving in mathematics education, science education, and professional schools
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Lesh, R., & Caylor, B. (2009). Differing conceptions of problem solving in mathematics education, science education, and professional schools. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 333-350). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 333-350
    • Lesh, R.1    Caylor, B.2
  • 37
    • 1542611557 scopus 로고    scopus 로고
    • Enhancing students' mathematical beliefs: An intervention study
    • Mason, L., & Scrivani, L. (2004). Enhancing students' mathematical beliefs: An intervention study. Learning and Instruction, 14, 153-176.
    • (2004) Learning and Instruction , vol.14 , pp. 153-176
    • Mason, L.1    Scrivani, L.2
  • 38
    • 77953348205 scopus 로고    scopus 로고
    • Modelling with purpose: Mathematics as a critical tool
    • B. Atweh, H. Forgasz, and B. Nebres (Eds.), Mahwah: Lawrence Erlbaum
    • Mukhopadhyay, S., & Greer, B. (2001). Modelling with purpose: Mathematics as a critical tool. In B. Atweh, H. Forgasz, & B. Nebres (Eds.), Socio-cultural aspects in mathematics education (pp. 295-311). Mahwah: Lawrence Erlbaum.
    • (2001) Socio-Cultural Aspects in Mathematics Education , pp. 295-311
    • Mukhopadhyay, S.1    Greer, B.2
  • 39
    • 72149111251 scopus 로고    scopus 로고
    • Issues and problems of research on the teaching and learning of applications and modelling
    • J. F. Matos, W. Blum, S. K. Houston, and S. P. Carreira (Eds.), Chichester: Horwood
    • Niss, M. (2001). Issues and problems of research on the teaching and learning of applications and modelling. In J. F. Matos, W. Blum, S. K. Houston, & S. P. Carreira (Eds.), Modelling and mathematics education. ICTMA 9: Applications in science and technology (pp. 72-89). Chichester: Horwood.
    • (2001) Modelling and Mathematics Education. ICTMA 9: Applications in Science and Technology , pp. 72-89
    • Niss, M.1
  • 42
    • 84873259110 scopus 로고    scopus 로고
    • Zur Bedeutung vielfältiger Theorien und wissenschaftlicher Praktiken in der Mathematikdidaktik am Beispiel von Schwierigkeiten mit Textaufgaben
    • M. Neubrand (Ed.), Münster: WTM
    • Prediger, S. (2009). Zur Bedeutung vielfältiger Theorien und wissenschaftlicher Praktiken in der Mathematikdidaktik am Beispiel von Schwierigkeiten mit Textaufgaben. In M. Neubrand (Ed.), Beiträge zum Mathematikunterricht (pp. 49-56) Münster: WTM. http://www. mathematik. uni-dortmund. de/~prediger/veroeff/09-BzMU-Theorien. pdf.
    • (2009) Beiträge Zum Mathematikunterricht , pp. 49-56
    • Prediger, S.1
  • 43
    • 24944454185 scopus 로고
    • Untersuchungen zum Lösen eingekleideter Aufgaben
    • Radatz, H. (1983). Untersuchungen zum Lösen eingekleideter Aufgaben. Journal für Mathematik-Didaktik, 4(3), 205-217.
    • (1983) Journal für Mathematik-Didaktik , vol.4 , Issue.3 , pp. 205-217
    • Radatz, H.1
  • 45
    • 0031497221 scopus 로고    scopus 로고
    • Every word problem has a solution: The suspension of reality and sense-making in the culture of school mathematics
    • Reusser, K., & Stebler, R. (1997a). Every word problem has a solution: The suspension of reality and sense-making in the culture of school mathematics. Learning and Instruction, 7, 309-328.
    • (1997) Learning and Instruction , vol.7 , pp. 309-328
    • Reusser, K.1    Stebler, R.2
  • 47
    • 84873244573 scopus 로고    scopus 로고
    • On the problematic of word problems-language and the world we inhabit
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Roth, W.-M. (2009). On the problematic of word problems-language and the world we inhabit. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 55-69). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 55-69
    • Roth, W.-M.1
  • 48
    • 80051811885 scopus 로고    scopus 로고
    • Learning to model: Coordinating natural language and mathematical operations when solving word problems
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Säljö, R., Riesbeck, E., & Wyndhamn, J. (2009). Learning to model: Coordinating natural language and mathematical operations when solving word problems. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 177-194). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 177-194
    • Säljö, R.1    Riesbeck, E.2    Wyndhamn, J.3
  • 49
    • 85068096396 scopus 로고
    • On mathematics as sense-making: An informal attack on the unfortunate divorce of formal and informal mathematics
    • J. F. Voss, D. N. Perkins, and J. W. Segal (Eds.), Hillsdale: Erlbaum
    • Schoenfeld, A. H. (1991). On mathematics as sense-making: An informal attack on the unfortunate divorce of formal and informal mathematics. In J. F. Voss, D. N. Perkins, & J. W. Segal (Eds.), Informal reasoning and education (pp. 311-343). Hillsdale: Erlbaum.
    • (1991) Informal Reasoning and Education , pp. 311-343
    • Schoenfeld, A.H.1
  • 51
    • 0010842005 scopus 로고
    • How old is the captain
    • Selter, Ch. (1994). How old is the captain? Strategies, 5(1), 34-37.
    • (1994) Strategies , vol.5 , Issue.1 , pp. 34-37
    • Selter, C.1
  • 52
    • 84873244611 scopus 로고    scopus 로고
    • 1/2 Busse heißt: ein halbvoller Bus!-Zu Vorgehensweisen von Grundschülern bei einer Textaufgabe mit Rest
    • C. Selter and G. Walther (Eds.), Leipzig: Klett
    • Selter, Ch. (2001). "1/2 Busse heißt: ein halbvoller Bus!"-Zu Vorgehensweisen von Grundschülern bei einer Textaufgabe mit Rest ["1/2 bus means a bus half-full!"-Solution strategies of elementary school children for DWR problems]. In C. Selter, & G. Walther (Eds.), Mathematik lernen und gesunder Menschenverstand (pp. 162-173). Leipzig: Klett.
    • (2001) Mathematik Lernen Und Gesunder Menschenverstand , pp. 162-173
    • Selter, C.1
  • 55
    • 84945294342 scopus 로고    scopus 로고
    • Word problems: Footprints from the history of mathematics
    • L. Verschaffel, B. Greer, W. DoorenVan, and S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Swetz, F. J. (2009). Word problems: Footprints from the history of mathematics. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 73-92). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 73-92
    • Swetz, F.J.1
  • 57
    • 84873165732 scopus 로고    scopus 로고
    • Word problems: Applications or mental manipulatives
    • Toom, A. (1999). Word problems: Applications or mental manipulatives. For the Learning of Mathematics, 19(1), 36-38.
    • (1999) For the Learning of Mathematics , vol.19 , Issue.1 , pp. 36-38
    • Toom, A.1
  • 58
    • 79959755397 scopus 로고    scopus 로고
    • The arithmetic operations as mathematical models
    • W. Blum, P. L. Galbraith, H.-W. Henn, and M. Niss (Eds.), New York: Springer
    • Usiskin, Z. (2007). The arithmetic operations as mathematical models. In W. Blum, P. L. Galbraith, H.-W. Henn, & M. Niss (Eds.), Applications and modelling in mathematics education (The 14th ICMI Study 14) (pp. 257-264). New York: Springer.
    • (2007) Applications and Modelling in Mathematics Education (The 14th ICMI Study 14) , pp. 257-264
    • Usiskin, Z.1
  • 59
    • 21944441450 scopus 로고    scopus 로고
    • Teaching realistic mathematical modelling and problem solving in the elementary school: A teaching experiment with fifth graders
    • Verschaffel, L., & De Corte, E. (1997). Teaching realistic mathematical modelling and problem solving in the elementary school: A teaching experiment with fifth graders. Journal for Research in Mathematics Education, 28, 577-601.
    • (1997) Journal for Research in Mathematics Education , vol.28 , pp. 577-601
    • Verschaffel, L.1    de Corte, E.2
  • 60
    • 0000523545 scopus 로고
    • Realistic considerations in mathematical modelling of school arithmetic word problems
    • Verschaffel, L., De Corte, E., & Lasure, S. (1994). Realistic considerations in mathematical modelling of school arithmetic word problems. Learning and Instruction, 4, 273-294.
    • (1994) Learning and Instruction , vol.4 , pp. 273-294
    • Verschaffel, L.1    de Corte, E.2    Lasure, S.3
  • 61
    • 0031521146 scopus 로고    scopus 로고
    • Pre-service teachers' conceptions and beliefs about the role of real-world knowledge in mathematical modelling of school word problems
    • Verschaffel, L., De Corte, E., & Borghart, I. (1997). Pre-service teachers' conceptions and beliefs about the role of real-world knowledge in mathematical modelling of school word problems. Learning and Instruction, 4, 339-359.
    • (1997) Learning and Instruction , vol.4 , pp. 339-359
    • Verschaffel, L.1    de Corte, E.2    Borghart, I.3
  • 62
    • 0002406841 scopus 로고    scopus 로고
    • Design and evaluation of a learning environment for mathematical modelling and problem solving in upper elementary school children
    • Verschaffel, L., De Corte, E., Lasure, S., van Vaerenbergh, G., Bogaerts, H., & Ratinckx, E. (1999). Design and evaluation of a learning environment for mathematical modelling and problem solving in upper elementary school children. Mathematical Thinking and Learning, 1, 195-229.
    • (1999) Mathematical Thinking and Learning , vol.1 , pp. 195-229
    • Verschaffel, L.1    de Corte, E.2    Lasure, S.3    van Vaerenbergh, G.4    Bogaerts, H.5    Ratinckx, E.6
  • 65
    • 0011938298 scopus 로고    scopus 로고
    • The pseudo-conceptual and the pseudo-analytical thought processes in mathematics learning
    • Vinner, S. (1997). The pseudo-conceptual and the pseudo-analytical thought processes in mathematics learning. Educational Studies in Mathematics, 34, 97-129.
    • (1997) Educational Studies in Mathematics , vol.34 , pp. 97-129
    • Vinner, S.1
  • 66
    • 0031498027 scopus 로고    scopus 로고
    • Word problems and mathematical reasoning: A study of children's mastery of reference and meaning in textual realities
    • Wyndhamn, J., & Säljö, R. (1997). Word problems and mathematical reasoning: A study of children's mastery of reference and meaning in textual realities. Learning and Instruction, 7, 361-382.
    • (1997) Learning and Instruction , vol.7 , pp. 361-382
    • Wyndhamn, J.1    Säljö, R.2
  • 67
    • 79959751963 scopus 로고    scopus 로고
    • Realistic problem solving in China
    • L. Verschaffel, B. Greer, W. DoorenVan, S. Mukhopadhyay (Eds.), Rotterdam: Sense
    • Xin, Z. (2009). Realistic problem solving in China. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds: Modelling verbal descriptions of situations (pp. 161-176). Rotterdam: Sense.
    • (2009) Words and Worlds: Modelling Verbal Descriptions of Situations , pp. 161-176
    • Xin, Z.1
  • 68
    • 84871535095 scopus 로고    scopus 로고
    • Cognitive holding power, fluid intelligence, and mathematical achievement as predictors of children's realistic problem solving
    • Xin, Z., & Zhang, L. (2009). Cognitive holding power, fluid intelligence, and mathematical achievement as predictors of children's realistic problem solving. Learning and Individual Differences, 19(1), 124-129.
    • (2009) Learning and Individual Differences , vol.19 , Issue.1 , pp. 124-129
    • Xin, Z.1    Zhang, L.2
  • 69
    • 67649542919 scopus 로고    scopus 로고
    • The performance of Chinese primary school students on realistic arithmetic word problems
    • Xin, Z., Lin, C., Zhang, L., & Yan, R. (2007). The performance of Chinese primary school students on realistic arithmetic word problems. Educational Psychology in Practice, 23, 145-159.
    • (2007) Educational Psychology in Practice , vol.23 , pp. 145-159
    • Xin, Z.1    Lin, C.2    Zhang, L.3    Yan, R.4
  • 70
    • 21344474293 scopus 로고    scopus 로고
    • Sociomathematical norms, argumentation, and autonomy in mathematics
    • Yackel, E., & Cobb, P. (1996). Sociomathematical norms, argumentation, and autonomy in mathematics. Journal for Research in Mathematics Education, 27, 458-477.
    • (1996) Journal for Research in Mathematics Education , vol.27 , pp. 458-477
    • Yackel, E.1    Cobb, P.2
  • 71
    • 0042686518 scopus 로고    scopus 로고
    • Can younger students succeed where older students fail? An examination of third graders' solutions of a division-with-remainder problem
    • Yeping, L., & Silver, E. (2000). Can younger students succeed where older students fail? An examination of third graders' solutions of a division-with-remainder problem. Journal of Mathematical Behavior, 19, 233-246.
    • (2000) Journal of Mathematical Behavior , vol.19 , pp. 233-246
    • Yeping, L.1    Silver, E.2
  • 72
    • 0031498072 scopus 로고    scopus 로고
    • Realistic considerations in solving problematic word problems: Do Japanese and Belgian children have the same difficulties
    • Yoshida, H., Verschaffel, L., & De Corte, E. (1997). Realistic considerations in solving problematic word problems: Do Japanese and Belgian children have the same difficulties? Learning and Instruction, 7, 329-338.
    • (1997) Learning and Instruction , vol.7 , pp. 329-338
    • Yoshida, H.1    Verschaffel, L.2    de Corte, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.