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Articles

Language and Mathematics - Key Factors influencing the Comprehension Process in reality-based Tasks

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Pages 131-153 | Received 23 Jan 2018, Accepted 18 Oct 2018, Published online: 13 Feb 2019

References

  • Abedi, J. (2006). Language issues in item development. In S. M. Downing & T. M. Haladyna (Eds.), Handbook of test development (pp. 377–398). Mahwah, NJ: L. Erlbaum.
  • Abedi, J., & Lord, C. (2001). The language factor in mathematics tests. Applied Measurement in Education, 14(3), 219–234. doi:10.1207/S15324818AME1403_2
  • Artelt, C. (1999). Lernstrategien und Lernerfolg: Eine handlungsnahe Studie. Zeitschrift für Entwicklungspsychologie und Pädagogische Psychologie, 31(2), 86–96. doi:10.1026//0049-8637.31.2.86
  • Artelt, C., Beinicke, A., Schlagmüller, M., & Schneider, W. (2009). Diagnose von Strategiewissen beim Textverstehen. Zeitschrift für Entwicklungspsychologie und Pädagogische Psychologie, 41(2), 96–103. doi:10.1026/0049-8637.41.2.96
  • Blomhøj, M., & Jensen, T. H. (2007). Whats all the fuss about competencies? In Eds. W. Blum, P. Galbraith, H.-W. Henn, & M. Niss, New ICMI study series: Vol. 10. modelling and applications in mathematics education (pp. 45–56). New York, NY: Springer. doi:10.1007/978-0-387-29822-1_3
  • Blomhøj, M., & Jensen, T. H. (2003). Developing mathematical modelling competence: Conceptual clarification and educational planning. Teaching Mathematics and Its Applications, 22(3), 123–139. doi:10.1093/teamat/22.3.123
  • Blum, W., & Leiss, D. (2007). How do students and teachers deal with modelling problems? In C. Haines (Ed.), Mathematical modelling (ICTMA 12). Education, engineering and economics: Proceedings from the twelfth international conference on the teaching of mathematical modelling and applications (pp. 222–231). Chichester: Horwood.
  • Blum, W., Galbraith, P. L., Henn, W., & Niss, M. (2007). New ICMI study series: Vol. 10. Modelling and Applications in Mathematics Education. New York, NY: Springer. doi:10.1007/978-0-387-29822-1
  • Borromeo Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM Mathematics Education, 38(2), 86–95. doi:10.1007/BF02655883
  • Borromeo Ferri, R. (2011). Wege zur Innenwelt des mathematischen Modellierens: Kognitive Analysen zu Modellierungsprozessen im Mathematikunterricht. Wiesbaden: Vieweg + Teubner.
  • Bowles, M. A. (2010). The think-aloud controversy in second language research. Second language acquisition research. Monographs on research methodology. New York, NY: Routledge.
  • Caccamise, D., Synder, L., & Kintsch, E. (2008). Constructivist theory and the situation model. Relevance to future assessment of reading comprehension. In C. C. Block & S. R. Parris (Eds.), Comprehension instruction. Research-based best practices (second ed., pp. 80–100). New York, London: The Guildford press.
  • Caccamise, D., & Snyder, L. (2005). Theory and pedagogical practices of text comprehension. Top Lang Disorders, 23(1), 5–20. doi:10.1097/00011363-200501000-00003
  • Capraro, R. M., Capraro, M. M., & Rupley, W. H. (2012). Reading-enhanced word problem solving: A theoretical model. European Journal of Psychology of Education, 27(1), 91–114. doi:10.1007/s10212-011-0068-3
  • Christmann, U., & Groeben, N. (2006). Psychologie des Lesens. In B. Franzmann (Ed.), Handbuch Lesen (pp. 145–223). Baltmannsweiler, Germany: Schneider-Verlag Hohengehren.
  • Clarkson, P. (1983). Types of errors made by papua new guinean students. Educational Studies in Mathematics, 14, 355–367. doi:10.1007/BF00368234
  • Clements, M. A. (1980). Analyzing children’s errors on written mathematical tasks. Educational Studies in Mathematics, 11(1), 1–21. doi:10.1007/BF00369157
  • Cohen, J. (1988). Statstical power analysis for the behavioral sciences (2.th ed.). Hillsdale, N.J: Erlbaum.
  • Cummins, J. (2000). Language, power and pedagogy: Bilingual children in the crossfire. Clevedon, England: Multilingual Matters.
  • Daroczy, G., Wolska, M., Meurers, W. D., & Nuerk, H.-C. (2015). Word problems: A review of linguistic and numerical factors contributing to their difficulty. Frontiers in Psychology, 6, 1–13. doi:10.3389/fpsyg.2015.00348
  • Depaepa, F., De Corte, E., & Verschaffel, L. (2010). Teachers approaches towards word problem solving: Elaborating or restricting the problem context. Teaching and Teachers Education, 26(2), 152–160. doi:10.1016/j.tate.2009.03.016
  • Dunlosky, J., Rawson, K. A., Marsh, E. J., Nathan, M. J., & Willingham, D. T. (2013). Improving students’ learning with effective learning techniques: Promising directions from cognitive and educational psychology. Psychological Science in the Public Interest, 14(1), 3–58. doi:10.1177/1529100612453266
  • Ellerton, N. F., & Clarkson, P. C. (1996). Laguage factors in mathematics teaching and learning. In Eds. A. J. Bishop, K. Clements, C. Keitel, J. Kilpatrick, & C. Laborde, Kluwer international handbooks of education: Vol. 4. International handbook of mathematics education (pp. 987–1033). Dordrecht, The Netherlands: Kluwer Academic Publishers. doi:10.1007/978-94-009-1465-0_27
  • Flaherty, E. (1975). The thinking aloud technique and problem solving ability. Journal of Educational Research, 68(6), 223–225. doi:10.1080/00220671.1975.10884753
  • Galbraith, P., & Stillman, G. (2006). A framework for identifying student blockages during transitions in the modelling process. ZDM Mathematics Education, 38(2), 143–162. doi:10.1007/BF02655886
  • Gogolin, I., Lange, I., Michel, U., & Reich, H. H. (2013). Herausforderung Bildungssprache: Und wie man sie meistert. Münster, Germany: Waxmann.
  • Gold, A. (2009). Leseflüssigkeit. Dimensionen und Bedingungen bei leseschwachen Hauptschülern. In A. Bertschi-Kaufmann (Ed.), Lesesozialisation und Medien. Literalität. Bildungsaufgabe und Forschungsfeld (pp. 151–164). Weinheim, München: Juventa.
  • Graesser, A. C., Louwerse, M. M., McNamara, D. S., Olney, A., Cai, Z., & Mitchell, H. H. (2007). Inference generation and cohesion in the construction of situation models: Some connections with computational linguistics. In F. Schmalhofer & C. A. Perfetti (Eds.), Higher level language processes in the brain: Inference and comprehension processes (pp. 289–310). Mahwah, NJ, US: Lawrence Erlbaum Associates Publishers.
  • Grothjahn, R. (2010). The C-Test: Contributions from current research. Frankfurt am Main, Germany: Peter Lang GmbH Internationaler Verlag der Wissenschaften.
  • Haag, N., Heppt, B., Stanat, P., Kuhl, P., & Pant, H. A. (2013). Second language learners’ performance in mathematics: Disentangling the effects of academic language features. Learning and Instruction, 28, 24–34. doi:10.1016/j.learninstruc.2013.04.001
  • Hagena, M., Leiss, D., & Schwippert, K. (2017). Using reading strategy training to foster students’ mathematical modelling competencies: Results of a quasi-experimental control trial. EURASIA Journal of Mathematics Science and Technology Education, 13(7), 4057–4085. doi:10.12973/eurasia.2017.00803a
  • Heine, L., & Schramm, K. (2007). Lautes Denken in der Fremdsprachenforschung: Eine Handreichung für die empirische Praxis. In H. J. Vollmer & W. Zydatiss (Eds.), Synergieeffekte in der Fremdsprachenforschung. Empirische Zugänge, Probleme, Ergebnisse (pp. 167–206). Frankfurt am Main, New York: Lang.
  • Hofstetter, C. H. (2003). Contextual and mathematics accommodation test effects for english-language learners. Applied Measurement in Education, 16(2), 159–188. doi:10.1207/S15324818AME1602_4
  • Julie, C. (2007). Learners context preferences and mathematical literacy. In Ed. C. Haines, Mathematical modelling (ICTMA 12). Education, engineering and economics: Proceedings from the twelfth international conference on the teaching of mathematical modelling and applications (pp. 195–202). Chichester, UK: Horwood. doi:10.1533/9780857099419.4.195
  • Kaiser, G., & Maaß, K. (2007). Modelling in lower secondary mathematics classroom: Problems and opportunities.In W. Blum, P. Galbraith, H.-W. Henn, & M. Niss Eds., New icmi study series: Vol. 10. Modelling and applications in mathematics education (pp. 99–108). doi:10.1007/978-0-387-29822-1_8
  • Kaiser, G., & Sriraman, B. (2006). A global survey of international perspectives on modelling in mathematics education. ZDM Mathematics Education, 38(3), 302–310. doi:10.1007/BF02652813
  • Kintsch, W., & Greeno, J. G. (1985). Understanding and solving word arithmetic problems. Psychological Review, 92(1), 109–129. doi:10.1037/0033-295X.92.1.109
  • Kirsch, I., de Jong, J., Lafontaine, D., McQueen, J., Mendelovits, J., & Monseur, C. (2002). Reading for change: Performance and engagement across countries: Results from PISA 2000. Paris: OECD. doi:10.1787/9789264099289-en
  • Leiss, D., & Müller, M. (2008). Offene Aufgaben - auch ein offenes Problem der Bewertung. Praxis Schule 5-10, 19(5), 13–17.
  • Leiss, D., Schukajlow, S., Blum, W., Messner, R., & Pekrun, R. (2010). The role of the situation model in mathematical modelling—task analyses, student competencies, and teacher interventions. Journal Für Mathematik-Didaktik, 31, 1. doi:10.1007/s13138-010-0006-y
  • Lienert, G. A., & Raatz, U. (1994). Testaufbau und Testanalyse (5th ed.). Weinheim: Beltz.
  • Maaß, K. (2010). Classification scheme for modelling tasks. Journal Für Mathematik-Didaktik, 31(2), 285–311. doi:10.1007/s13138-010-0010-2
  • Martiniello, M. (2008). Language and the performance of English-language learners in math word problems. Harvard Educational Review, 78, 333–368. doi:10.0.69.99/haer.78.2.70783570r1111t32
  • Matos, J. F., & Carreira, S. (1995). Cognitive processes and representations involved in applied problem solving. In C. W. Sloyer, W. Blum, & I. D. Huntley (Eds.), Advances and perspectives in teaching of mathematical modelling and applications (ICTMA-6) (pp. 71–80). Chichester: Ellis Horwood.
  • Mayer, R. E., & Hegarty, M. (1996). The process of understanding mathematical problems. In R. J. Sternberg & T. Ben-Zeev (Eds.), Studies in mathematical thinking and learning series. The nature of mathematical thinking (pp. 29–53). Mahwah, NJ: L. Erlbaum Associates.
  • Mayring, P. (2003). Qualitative Inhaltsanalyse: Grundlagen und Techniken (8th ed.). Basel, Belgium: Beltz.  doi:10.1007/978-3-531-92052-8_42
  • McNamara, D. S. (2017). Self-explanation and reading strategy training (SERT) improves low-knowledge students’ science course performance. Discourse Processes, 54(7), 479–492. doi:10.1207/s15326950dp3801_1
  • McNamara, T. P., Miller, D. L., & Bransford, J. D. (1991). Mental models and reading comprehension. In R. Barr, M. L. Kamil, P. B. Mosenthal, & P. D. Pearson (Eds.), Handbook of reading research (Vol. 2, pp. 490–511). New York, NY: Longman.
  • Mokhtari, K., & Reichard, C. (2002). Assessing students’ metacognitive awareness of reading strategies. Journal of Education Psychology, 94, 249–259. doi:10.1037//0022-0663.94.2.249
  • Morgan, C., Craig, T., Schütte, M., & Wagner, D. (2014). Language and communication in mathematics education: An overview of research in the field. ZDM Mathematics Education, 46(6), 843–853. doi:10.1007/s11858-014-0624-9
  • NewNewman, K. (1977). An analysis of sixth-grade pupils’ errors on written mathematical tasks. In M. A. Clements & J. Foyster (Eds.), Research in mathematics education in Australia (pp. 239–258). Melbourne: Swinburne Press.
  • Niss, M., Blum, W., & Galbraith, P. (2007). Introduction. In W. Blum, P. Galbraith, H.-W. Henn, & M. Niss (Eds.), New ICMI study series: Vol. 10. Modelling and applications in mathematics education (pp. 3–32). New York, NY: Springer.
  • Noack, C. (2006). Die Silbe als Zugriffseinheit beim Leseprozess. In U. Bredel & H. Günther (Eds.), Linguistische Arbeiten: Vol. 509. Orthographietheorie und Rechtschreibunterricht (pp. 181–196). Tübingen: M. Niemeyer.
  • Nunnally, J., & Bernstein, L. (1994). Psychometric theory. New York, NY: McGraw-Hill.
  • OECD. (2010). PISA 2009 results: Learning to learn: Students engagement, strategies and practices Programme for International Student Assessment. doi: 10.1787/9789264083943-en
  • Palm, T. (2009). Theory of authentic task situations. In L. Verschaffel, B. Greer, W. van Dooren, & S. Mukhopadhyay (Eds.), Words and worlds. Modelling verbal descriptions of situations (pp. 3–20). Rotterdam: Sense.
  • Plath, J., & Leiss, D. (2018). The impact of linguistic complexity on the solution of mathematical modelling tasks. ZDM Mathematics Education, 50(1,2), 159–171. doi:10.1007/s11858-017-0897-x
  • Prediger, S., Renk, N., Büchter, A., Gürsoy, E., & Benholz, C. (2013). Family background or language disadvantages? Factors for underachievement in high stakes tests. In A. M. Lindmeier & A. Heinze (Ed.), Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education. Paper presented at the Conference of the International Group for the Psychology of Mathematics Education (Kiel, Germany) (Vol. 4, p. 4.49-4.56).
  • Pressley, M., & Afflerbach, P. (1995). Verbal protocols of reading: The nature of constructively responsive reading. Hillsdale: NJ Erlbaum.
  • Reusser, K. (1988). Problem solving beyond the logic of things: Contextual effects on understanding and solving word problems. Instructional Science, 17(4), 309–338. doi:10.1007/BF00056219
  • Reusser, K. (1989). Vom Text zur Situation zur Gleichung – Kognitive Simulation von Sprachverständnis und Mathematisierung beim Lösen von Textaufgaben. (Habilitationsschrift). Bern: Universität Bern.
  • Robinson, H. (1966). The major aspects of reading. In H. A. Robinson (Ed.), Reading: Seventy-five years of progress (pp. 22–32). Chicago: University of Chicago Press.
  • Schneider, W., Schlagmüller, M., & Ennemoser, M. (2007). LGVT 6-12. Lesegeschwindigkeits- und -verständnistest für die Klassen 6-12. Göttingen: Hogrefe.
  • Schukajlow, S., Kaiser, G., & Stillman, G. (2018). Empirical research on teaching and learning of mathematical modelling: A survey on the current state-of-the-art. ZDM Mathematics Education, 50(1,2), 5–18. doi:10.1007/s11858-018-0933-5
  • Schukajlow, S., & Leiss, D. (2011). Selbstberichtete Strategienutzung und mathematische Modellierungskompetenz. Journal Für Mathematikdidaktik, 32(1), 53–77. doi:10.1007/s13138-010-0023-x
  • Shaftel, J., Belton-Kocher, E., Glasnapp, D., & Poggio, J. (2006). The impact of language characteristics in mathematics test items on the performance of english language learners and students with disabilities. Educational Assessment, 11(2), 105–126. doi:10.1207/s15326977ea1102_2
  • Stillman, G., Brown, J., & Galbraith, P. (2010). Identifying challanges within transition phases of mathematical modelling activities at year 9. In R. A. Lesh (Ed.), Modeling students’ mathematical modeling competencies. ICTMA 13 (pp. 385–398). New York, NY: Springer. doi:10.1007/978-1-4419-0561-1_33
  • van der Schoot, M., Bakker Arkema, A. H., Horsley, T. M., & van Lieshout, E. C. D. M. (2009). The consistency effect depends on markedness in less successful but not successful problem solvers: An eye movement study in primary school children. Contemporary Educational Psychology, 34(1), 58–66. doi:10.1016/j.cedpsych.2008.07.002
  • van Dijk, T. A., & Kintsch, W. (1983). Strategies of discourse comprehension. San Diego: Academic Press.
  • Verschaffel, L., Greer, B., & de Corte, E. (2000). Making sense of word problems. Contexts of learning. Lisse [Netherlands]. Exton, PA: Swets & Zeitlinger Publishers.
  • Vilenius-Tuohimaa, P. M., Aunola, K., & Nurmi, J. E. (2008). The association between mathematical word problems and reading comprehension. Educational Psychology, 28(4), 409–426. doi:10.1080/01443410701708228
  • Vukovic, R. K., & Lesaux, N. K. (2013). The language of mathematics: Investigating the ways language counts for children’s mathematical development. Journal of Experimental Child Psychology, 115(2), 227–244. doi:10.1016/j.jecp.2013.02.002
  • Weinstein, C. E., & Mayer, R. E. (1986). The teaching of learning strategies. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed., pp. 315–327). New York, NY: Macmillan; Collier Macmillan.
  • Wijaya, A., van Den Heuvel-Panhuizen, M., Doorman, M., & Robitzsch, A. (2014). Difficulties in solving context-based PISA mathematics tasks: An analysis of students’ errors. Mathematics Enthusiast, 11(3), 555–584.
  • Wolf, M. K., & Leon, S. (2009). An investigation of the language demands in content assessments for english language learners. Educational Assessment, 14(3–4), 139–159. doi:10.1080/10627190903425883

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