References
- Abedi, J., & Lord, C. (2001). The language factor in mathematics tests. Applied Measurement in Education, 14(3), 219–234. https://doi.org/https://doi.org/10.1207/S15324818AME1403_2
- Adams, T. L. (2003). Reading mathematics: More than words can say. The Reading Teacher, 56(8), 786–795.
- Aiken, L. R. (1972). Language factors in learning mathematics. Review of Educational Research, 42(3), 359–385. https://doi.org/https://doi.org/10.3102/00346543042003359
- Ainsworth, S. (2006). DeFT: A conceptual framework for considering learning with multiple representations. Learning and Instruction, 16(3), 183–198. https://doi.org/https://doi.org/10.1016/j.learninstruc.2006.03.001
- Banks, K., Jeddeeni, A., & Walker, C. M. (2016). Assessing the effect of language demand in bundles of math word problems. International Journal of Testing, 16(4), 269–219. https://doi.org/https://doi.org/10.1080/15305058.2015.1113972
- Batalova, J., & Fix, M. (2015). Through an immigrant lens: PIAAC assessment of the competencies of adults in the United States. Migration Policy Institute.
- Beal, C. B., Adams, N. M., & Cohen, P. R. (2010). Reading proficiency and mathematics problem solving by high school English language learners. Urban Education, 45(1), 58–74. https://doi.org/https://doi.org/10.1177/0042085909352143
- Bergqvist, E., Theens, F., & Österholm, M. (2018). The role of linguistic features when reading and solving mathematics tasks in different languages. The Journal of Mathematical Behavior, 51, 41–55. https://doi.org/https://doi.org/10.1016/j.jmathb.2018.06.009
- Berndt, R. S., Mitchum, C. C., Burton, M. W., & Haendiges, A. N. (2004). Comprehension of reversible sentences in aphasia: The effects of verb meaning. Cognitive Neuropsychology, 21(2), 229–244. https://doi.org/https://doi.org/10.1080/02643290342000456
- Björn, P. M., Aunola, K., & Nurmi, J.-E. (2016). Primary school text comprehension predicts mathematical word problem-solving in secondary school. Educational Psychology, 36(2), 362–377. https://doi.org/https://doi.org/10.1080/01443410.2014.992392
- Boonen, A. J. H., van der Schoot, M., van Wesel, F., de Vries, M. H., & Jolles, J. (2013). What underlies successful word problem solving? A path analysis in sixth grade students. Contemporary Educational Psychology, 38(3), 271–279. https://doi.org/https://doi.org/10.1016/j.cedpsych.2013.05.001
- Borromeo Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM, 38(2), 86–95. https://doi.org/https://doi.org/10.1007/BF02655883
- Burton, L., & Morgan, C. (2000). Mathematicians writing. Journal for Research in Mathematics Education, 31(4), 429–453. https://doi.org/https://doi.org/10.2307/749652
- Cain, K., Oakhill, J., & Bryant, P. E. (2004). Children's reading comprehension ability: Concurrent prediction by working memory, verbal ability, and component skills. Journal of Educational Psychology, 96(1), 31–42. https://doi.org/https://doi.org/10.1037/0022-0663.96.1.31
- Carney, R. N., & Levin, J. R. (2002). Pictorial illustrations still improve students’ learning from text. Educational Psychology Review, 14(1), 5–26. https://doi.org/https://doi.org/10.1023/A:1013176309260
- Chan, S. (2015). Linguistic challenges in the mathematical register for EFL learners: Linguistic and multimodal strategies to help learners tackle mathematics word problems. International Journal of Bilingual Education and Bilingualism, 18(3), 306–318. https://doi.org/https://doi.org/10.1080/13670050.2014.988114
- Cohen, J. (1960). A coefficient of agreement for nominal scales. Educational and Psychological Measurement, 20(1), 37–46. https://doi.org/https://doi.org/10.1177/001316446002000104
- 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, 348. https://doi.org/https://doi.org/10.3389/fpsyg.2015.00348
- Davis, F. B. (1968). Research in comprehension in reading. Reading Research Quarterly, 3(4), 499–545. https://doi.org/https://doi.org/10.2307/747153
- Dewolf, T., van Dooren, W., Ev Cimen, E., & Verschaffel, L. (2014). The impact of illustrations and warnings on solving mathematical word problems realistically. The Journal of Experimental Education, 82(1), 103–120. https://doi.org/https://doi.org/10.1080/00220973.2012.745468
- Elia, I., & Philippou, G. (2004). The functions of pictures in problem solving. In: M.J. Hoines, & A.B. Fuglestad (Eds.), Proceedings of the 28th conference of the international group for the psychology of mathematics education. (Vol. 2, pp. 327–334). University College.
- Fang, Z., Schleppegrell, M. J., & Cox, B. E. (2016). Understanding the language demands of schooling. Nouns in academic registers. Journal of Literacy Research, 38(3), 247–273. https://doi.org/https://doi.org/10.1207/s15548430jlr3803_1
- Fuchs, L. S., Fuchs, D., Compton, D. L., Hamlett, C. L., & Wang, A. Y. (2015). Is word-problem solving a form of text comprehension? Scientific Studies of Reading, 19(3), 204–223. https://doi.org/https://doi.org/10.1080/10888438.2015.1005745
- Fuchs, L. S., Gilbert, J. K., Fuchs, D., Seethaler, P. M., & Martin, B. N. (2018). Text comprehension and oral language as predictors of word-problem solving: Insights into word-problem solving as a form of text comprehension. Scientific Studies of Reading: The Official Journal of the Society for the Scientific Study of Reading, 22(2), 152–166. https://doi.org/https://doi.org/10.1080/10888438.2017.1398259
- Gibson, E. J., & Levin, H. (1975). The psychology of reading. MIT Press.
- Göpferich, S. (2009). Comprehensibility assessment using the Karlsruhe comprehensibility concept. The Journal of Specialised Translation, 11, 31–53.
- Grotlüschen, A., Mallows, D., Reder, S., Sabatini, J. (2016). Adults with low proficiency in literacy or numeracy (OECD Education Working Papers, No. 131). Organisation for Economic Co-operation and Development. https://www.oecd-ilibrary.org/docserver/5jm0v44bnmnx-en.pdf?expires=1587106017&id=id&accname=guest&checksum=C1C45CB15C247A20804F9986504BD255
- Gürsoy, E., Benholz, C., Renk, N., Prediger, S., & Büchter, A. (2013). Erlös = Erlösung? – Sprachliche und konzeptuelle Hürden in Prüfungsaufgaben zur Mathematik [Language- and concept-induced obstacles in mathematics exams]. Deutsch Als Zweitsprache, 13(1), 14–24.
- Gustafsson, J. E. (2016). Lasting effects of quality of schooling: Evidence from PISA and PIAAC. Intelligence, 57, 66–72. https://doi.org/https://doi.org/10.1016/j.intell.2016.05.004
- Haag, N., Heppt, B., Roppelt, A., & Stanat, P. (2015). Linguistic simplification of mathematics items: Effects for language minority students in Germany. European Journal of Psychology of Education, 30(2), 145–167. https://doi.org/https://doi.org/10.1007/s10212-014-0233-6
- 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. https://doi.org/https://doi.org/10.1016/j.learninstruc.2013.04.001
- Hayes, J. R., & Simon, H. (1974). Understanding written problem instructions. In: L. W. Gregg (Ed.), Knowledge and cognition. (pp. 167–200). Erlbaum.
- Ivanoff, J. M., De Wane, E. T., & Praem, O. (1965). Use of discriminant analysis for selecting students for ninth-grade algebra or general mathematics. The Mathematics Teacher, 58(5), 412–416. https://doi.org/https://doi.org/10.5951/MT.58.5.0412
- Johansson, V. (2009). Lexical diversity and lexical density in speech and writing: A developmental perspective. Working Papers, 53(2008), 61–79.
- Johnson, P. O., & Neyman, J. (1936). Tests of certain linear hypotheses and their applications to some educational problems. Statistical Research Memoirs, 1, 57–93.
- Kamata, A. (2001). Item analysis by the hierarchical generalized linear model. Journal of Educational Measurement, 38(1), 79–93. https://doi.org/https://doi.org/10.1111/j.1745-3984.2001.tb01117.x
- Kintsch, W. (1988). The role of knowledge in discourse comprehension: A construction-integration model. Psychological Review, 95(2), 163–182. https://doi.org/https://doi.org/10.1037/0033-295x.95.2.163
- Kulesz, P. A., Francis, D. J., Barnes, M. A., & Fletcher, J. M. (2016). The influence of properties of the test and their interactions with reader characteristics on reading comprehension: An explanatory item response study. Journal of Educational Psychology, 108(8), 1078–1097. https://doi.org/https://doi.org/10.1037/edu0000126
- Lager, C. A. (2006). Types of mathematics-language reading interactions that unnecessarily hinder algebra learning and assessment. Reading Psychology, 27(2-3), 165–204. https://doi.org/https://doi.org/10.1080/02702710600642475
- LeFevre, J.-A., Fast, L., Skwarchuk, S.-L., Smith-Chant, B. L., Bisanz, J., Kamawar, D., & Penner-Wilger, M. (2010). Pathways to mathematics: Longitudinal predictors of performance. Child Development, 81(6), 1753–1767. https://doi.org/https://doi.org/10.1111/j.1467-8624.2010.01508.x
- Leiss, D., Plath, J., & Schwippert, K. (2019). Language and mathematics – key factors influencing the comprehension process in reality-based tasks. Mathematical Thinking and Learning, 21(2), 131–153. https://doi.org/https://doi.org/10.1080/10986065.2019.1570835
- Martiniello, M. (2008). Language and the performance of English-language learners in math word problems. Harvard Educational Review, 78(2), 333–368. https://doi.org/https://doi.org/10.17763/haer.78.2.70783570r1111t32
- Muntoni, F., Wagner, J., & Retelsdorf, J. (2020). Beware of stereotypes: Are classmates’ stereotypes associated with students’ reading outcomes? Child Development, 92(1), 189–204. https://doi.org/https://doi.org/10.1111/cdev.13359
- Muthén, L. K., & Muthén, B. O. (1998-2017). Mplus user’s guide. Eighth Edition. Muthén & Muthén.
- Nalom, A. F. O., Soares, A. J. C., & Cárnio, M. S. (2015). The relevance of receptive vocabulary in reading comprehension. CoDAS, 27(4), 331–338. https://doi.org/https://doi.org/10.1590/2317-1782/20152015016
- National Reading Panel (2000). Teaching children to read: An evidence-based assessment of the scientific research literature on reading and its implications for reading instruction (NIH Publication No. 00-4754). https://www.nichd.nih.gov/sites/default/files/publications/pubs/nrp/Documents/report.pdf
- O’Reilly, T., & McNamara, D. (2007). The impact of science knowledge, reading skill, and reading strategy knowledge on more traditional “highstakes” measures of high school students’ science achievement. American Educational Research Journal, 44(1), 161–196. https://doi.org/https://doi.org/10.3102/0002831206298171
- OECD ( 2012). Literacy, numeracy and problem solving in technology-rich environments: Framework for the OECD survey of adult skills. https://www.oecd.org/skills/piaac/PIAAC%20Framework%202012–%20Revised%2028oct2013_ebook.pdf
- OECD (2013a). OECD skills outlook 2013: First results from the survey of adult skills. https://www.oecd.org/skills/piaac/Skills%20volume%201%20(eng)–full%20v12–eBook%20(04%2011%202013).pdf
- OECD (2013b). Technical report of the survey of adult skills (PIAAC). https://www.oecd.org/skills/piaac/_Technical%20Report_17OCT13.pdf
- OECD (2014). Education at a glance 2014: OECD indicators. http://www.oecd.org/education/Education-at-a-Glance-2014.pdf
- OECD (2016). The survey of adult skills: Reader’s companion, second edition, OECD skills studies. https://www.oecd.org/publications/the-survey-of-adult-skills-9789264258075-en.htm
- OECD (2019). PISA 2018 results (Volume II): Where all students can succeed. https://www.oecd-ilibrary.org/docserver/b5fd1b8f-en.pdf?expires=1602147835&id=id&accname=ocid49017929&checksum=62C15ECA001D7936D7E6993FB0BA9B37
- Paetsch, J., Felbrich, A., & Stanat, P. (2015). Der Zusammenhang von sprachlichen und mathematischen Kompetenzen bei Kindern mit Deutsch als Zweitsprache [Second language proficiency and mathematical achievement: Their interrelations. Zeitschrift Für Pädagogische Psychologie, 29(1), 19–29. https://doi.org/https://doi.org/10.1024/1010-0652/a000142
- Parsons, S., Bynner, J. (2005). Does numeracy matter more? National Research and Development Centre for Adult Literacy and Numeracy. https://discovery.ucl.ac.uk/id/eprint/1566245/1/parsons2006does.pdf
- Peng, P., & Lin, X. (2019). The relation between mathematics vocabulary and mathematics performance among fourth graders. Learning and Individual Differences, 69, 11–21. https://doi.org/https://doi.org/10.1016/j.lindif.2018.11.006
- Perfetti, C. (1985). Reading ability. Oxford University Press.
- Pimm, D. (1987). Speaking mathematically: Communication in mathematics classrooms. Routledge & Kegan Paul.
- Pitts, R. J. (1952). Relationship between functional competence in mathematics and reading grade levels, mental ability, and age. Journal of Educational Psychology, 43(8), 486–492. https://doi.org/https://doi.org/10.1037/h0055218
- Powell, S. R., Driver, M. K., Roberts, G., & Fall, A.-M. (2017). An analysis of the mathematics vocabulary knowledge of third- and fifth-grade students: Connections to general vocabulary and mathematics computation. Learning and Individual Differences, 57, 22–32. https://doi.org/https://doi.org/10.1016/j.lindif.2017.05.011
- Prediger, S. (2019). Investigating and promoting teachers’ expertise for language-responsive mathematics teaching. Mathematics Education Research Journal, 31(4), 367–392. https://doi.org/https://doi.org/10.1007/s13394-019-00258-1
- Prediger, S., & Wessel, L. (2013). Fostering German-language learners’ constructions of meanings for fractions – design and effects of a language- and mathematics-integrated intervention. Mathematics Education Research Journal, 25(3), 435–456. https://doi.org/https://doi.org/10.1007/s13394-013-0079-2
- Prediger, S., Wilhelm, N., Büchter, A., Gürsoy, E., & Benholz, C. (2018). Language proficiency and mathematics achievement: Empirical study of language-induced obstacles in a high stakes test, the central exam ZP10. Journal Für Mathematik-Didaktik, 39 (S1), 1–26. https://doi.org/https://doi.org/10.1007/s13138-018-0126-3
- Rammstedt, B., Martin, S., Zabal, A., Konradt, I., Maehler, D., Perry, A., Massing, N., Ackermann-Piek, D., & Helmschrott, S. (2016).Programme for the International Assessment of Adult Competencies (PIAAC), Germany – reduced version (ZA5845 Datefile Version 2.2.0) [Data set]. GESIS – Leibniz-Institut Für Sozialwissenschaften. https://doi.org/https://doi.org/10.4232/1.12660
- Reise, S. P. (2000). Using multilevel logistic regression to evaluate person-fit in IRT Models. Multivariate Behavioral Research, 35(4), 543–568. https://doi.org/https://doi.org/10.1207/S15327906MBR3504_06
- Schleppegrell, M. J. (2004). The language of schooling: A functional linguistics perspective. Lawrence Erlbaum Associates.
- Schleppegrell, M. J. (2007). The linguistic challenges of mathematics teaching and learning: A research review. Reading and Writing Quarterly, 23(2), 139–159. https://doi.org/https://doi.org/10.1080/10573560601158461
- 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. https://doi.org/https://doi.org/10.1207/s15326977ea1102_2
- Thorndike, R. L. (1973). Reading comprehension education in fifteen countries. Wiley.
- Trautwein, U., Marsh, H. W., Nagengast, B., Lüdtke, O., Nagy, G., & Jonkmann, K. (2012). Probing for the multiplicative term in modern expectancy–value theory: A latent interaction modeling study. Journal of Educational Psychology, 104(3), 763–777. https://doi.org/https://doi.org/10.1037/a0027470
- Ufer, S., & Bochnik, K. (2020). The role of general and subject-specific language skills when learning mathematics in elementary school. Journal Für Mathematik-Didaktik, 41(1), 81–117. https://doi.org/https://doi.org/10.1007/s13138-020-00160-5
- Ure, J. (1971). Lexical density and register differentiation. In G. Perren, & J. L. M. Trim (Eds.), Applications of linguistics. (pp. 443–452). Cambridge University Press.
- Van Dijk, T. A., & Kintsch, W. (1983). Strategies of discourse comprehension. Academic Press.
- Verschaffel, L., Greer, B., & de Corte, E. (2000). Making sense of word problems. Academic Press.
- Wu, M. (2010). Comparing the similarities and differences of PISA 2003 and TIMSS (OECD Working Papers No. 32). Organisation for Economic Co-operation and Development. https://files.eric.ed.gov/fulltext/ED530738.pdf
- Zabal, A., Martin, S., Massing, N., Ackermann, D., Helmschrott, S., Barkow, I., Rammstedt, B. (2014). PIAAC Germany 2012: Technical report. GESIS – Leibniz-Institut für Sozialwissenschaften. https://nbn-resolving.org/urn:nbn:de:0168-ssoar-50410-5
- Zhu, Z. (2007). Gender differences in mathematical problem solving patterns: A review of literature. International Education Journal, 8(2), 187–203.