Interplay between Language and Mathematics Comprehension/Learning: A Direction Dependence Analysis

İbrahim Doyumğaç, Ramazan Gürbüz, Metin Buluş

Abstract


The present study aims to inspect the interplay between language (Turkish) comprehension/learning (LCL) and mathematics comprehension/learning (MCL). We utilized a mixed-methods exploratory research design to understand the mechanism between LCL and MCL. First, we used an analytic rubric to score a researcher-developed achievement battery consisting of seven open-ended language (Turkish) and seven open-ended mathematics new generation questions. Although these were multiple-choice questions, participants were solicited to write a detailed response on why they endorsed a particular choice. In the quantitative section, open-ended responses for each question were rated by two independent subject experts. The average of these two ratings was used to derive factor scores for LCL and MCL. Factor scores were used in direction dependence analysis to determine the magnitude and likely direction of the effect between LCL and MCL. In the qualitative section, we conducted unstructured interviews with the selected participants to get more detailed responses regarding their decision steps. Content analysis was performed on the transcribed voice-recordings. Results revealed that, overall, it is more likely that higher scores on LCL predicted higher scores on MCL. However, the strength and direction of the prediction varied in low, medium, and high-achieving groups. MCL and LCL did not seem related in the low-achieving group; higher scores on MCL predicted lower scores on LCL in the medium-achieving group, whereas higher scores in LCL predicted higher scores in MCL in the high achieving group. Qualitative results support quantitative findings. It seems high achieving students dominate the LCL and MCL relationship. Longitudinal studies (e.g., cross-lagged panel design) are needed for more conclusive results.

Keywords


Language, Mathematics, Comprehension, Learning

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References


Açıkgöz, K. Ü. (2003). Etkili öğrenme ve öğretme. Eğitim Dünyası.

Adoniou, M., & Qing, Y. (2014). Language, mathematics and English language learners. Australian Mathematics Teacher, 70(3), 3-13.

Adsoy, Ş. (2020). Necati öner’e göre dil-düşünce ilişkisi. Şarkiyat, 12(2), 356-368. https://doi.org/10.26791/sarkiat.689924

Ahmadi, M. R. (2017). The impact of motivation on reading comprehension. International Journal of Research in English Education, 2(1), 1-7. http://ijreeonline.com/article-1-35-en.html

Aksan, D. (2009). Her yönüyle dil ana çizgileriyle dilbilim. Türk Dil Kurumu.

Akyol, H. (2014). Programa uygun Türkçe öğretim yöntemleri. Pegem Akademi.

Albayrak, M., & Erkal, M. (2003). Başarıya giden yolda ifade ve beceri derslerinin (Türkçe-Matematik) birlikteliği. Milli Eğitim Dergisi, 158.

Aristoteles (1947). Organon I, kategoriler, (Çev.) Hamdi Ragıp Atademir, (2. Baskı), Milli Eğitim.

Asoulin, E. (2016). Language as an instrument of thought. Glossa: A Journal of General Linguistics, 1(1), 46.http://doi.org/10.5334/gjgl.34

Baggetto, M. (2009), “Math: the universal language, mathematicians in the oval office”, https://obamawhitehouse.archives.gov/blog/2009/07/24/math-universal-language-mathematicians-oval-office (accessed 16 February 2021).

Baki, A. (2008). Kuramdan uygulamaya matematik eğitimi. Harf Eğitim.

Barre, N., Morgan, A., Doyle, L. W., & Anderson, P. J. (2011). Language abilities in children who were very preterm and/or very low birth weight: A meta-analysis. The Journal of Pediatrics, 158,766-774. https://doi.org/10.1016/j.jpeds.2010.10.032

Başerer, D., & Duman, E. Z. (2019). Felsefi süreç içinde düşünme olgusu. Nevşehir Hacı Bektaş Veli Üniversitesi SBE Dergisi, 9(2), 379-395. https://dergipark.org.tr/en/pub/nevsosbilen/issue/51363/589438

Benjamin, A. T. (2011). The secrets of mental math. The Teaching Company.

Bloom, B. S. (1995), İnsan nitelikleri ve okulda öğrenme. (Çev. D. Ali Özçelik), Milli Eğitim Basımevi.

Boeckx, C., & Piattelli-Palmarini, M. (2005). Language as a natural object: Linguistics as a natural science. The Linguistic Review, 22, 447-466. http://dx.doi. org/10.1515/tlir.2005.22.2-4.447

Bogdan, R.C., & Biklen, S. K. (2007). Qualitative research for education: An introduction to theory and methods. Allyn and Bacon.

Börekçi, M. (2015). Söz dizim kuramları bağlamında Türkçe söz dizimi. International Periodical for the Languages, Literature and History of Turkish or Turkic, 10(16), 355-370. http://dx.doi.org/10.7827/TurkishStudies.8986

Brattico, P., & Lassi L. (2009). Rethinking the Cartesian theory of linguistic productivity. Philosophical Psychology, 22 (3), 251-279. http://dx.doi. org/10.1080/09515080902957357

Bulus, M. (2022). Minimum detectable effect size computations for cluster-level regression discontinuity: Specifications beyond the linear functional form. Journal of Research on Education Effectiveness, 15(1), 151-177. https://doi.org/10.1080/19345747.2021.1947425

Bulus, M. (2023). pwrss: Power and sample size calculation tools. R package version 0.3.1. https://CRAN.R-project.org/package=pwrss

Bulus, M., & Dong, N. (2021). Bound constrained optimization of sample sizes subject to monetary restrictions in planning of multilevel randomized trials and regression discontinuity studies. The Journal of Experimental Education, 89(2), 379-401. https://doi.org/10.1080/00220973.2019.1636197

Bulus, M., & Koyuncu, I. (2021). Statistical power and precision of experimental studies originated in the Republic of Turkey from 2010 to 2020: Current practices and some recommendations. Journal of Participatory Education Research, 8(4), 24-43. https://doi.org/10.17275/per.21.77.8.4

Carruthers, P. (2002). The cognitive functions of language. Behavioral and Brain Sciences, 25(6), 657-674. 10.1017/S0140525X02000122

Catts, H. W., Adlof, S. M., & Ellis Weismer, S. (2006). Language deficits in poor comprehenders: A case for the simple view of reading. Journal of Speech, Language, and Hearing Research, 49,278-293. https://doi.org/10.1044/1092-4388(2006/023)

Chomsky, N. (1957). Syntactic Structures. Mouton.

Chomsky, N. (1965). Aspects of the Theory of Syntax. The MIT Press.

Chomsky, N. (1972). Language and mind. Harcourt Brace Jovanovich Publishers.

Chomsky, N. (1981). Lectures on government and binding. The Gruyter.

Chomsky, N. (1995). The Minimalist Program. The M.I.T. Press

Cirillo, M., Bruna, K. R., & Herbel-Eisenmann, B. (2010). Acquisition of mathematical language: Suggestions and activities for English language learners. Multicultural Perspectives, 12(1), 34-41. https://doi.org/10.1080/15210961003641385

Clarke, P. J., Truelove, E., Hulme, C., & Snowling, M. J. (2014). Developing reading comprehension. Willey- Blackwell.

Coşkun, S. (2014). Dil-düşünce ve dünya ilişkisi bakımından öznellik, bireysellik ve kimlik. Kaygı. Uludağ Üniversitesi Fen-Edebiyat Fakültesi Felsefe Dergisi, (23), 87-102. https://doi.org/10.20981/kuufefd.96215

Creswell, J. W. (2009). Research design: Qualitative, quantitative, and mixed methods approaches. Sage.

Creswell, J. W., & Plano-Clark, V. L. (2015). Karma yöntem araştırmaları tasarımı ve yürütülmesi (Yüksel Dede & Selcuk Beşir Demir, çev. ed.). Anı. (Çalışmanın orijinali 2011’de yayımlanmıştır.

Demeyere, N., Rotshtein, P., & Humphreys, G. W. (2012). The neuroanatomy of visual emmuneration: Differentiating necessary neural correlates for subitizing versus counting in a neuropsychological voxel-based morphometry study. Journal of Cognitive Neuroscience, 24(4), 948-964.

Ehri, L. C. (2005). Learning to read words: Theory, findings, and issues. Scientific Studies of Reading, 9(2), 167-188. https://doi.org/10.1207/s1532799xssr0902_4

Epçaçan, C. (2009). Okuduğunu anlama stratejilerine genel bir bakış. Journal of International Social Research, 1(6), 207-223.

Ergin, M. (2009). Üniversiteler için Türk dili. Bayrak Yayın/Tanıtım.

Ferah, A. (2006). Matematiksel düşüncede sayı sıfatları ve nicelik zarfları. Belleten, 1, 113-129. https://dergipark.org.tr/tr/download/article-file/721424

Finochiaro, M. (1974). English as a second language: From theory to practice. Regents Publishing Co.

Flick L., & Lederman N. (2002). Valuer of teaching reading in the context of science and mathematics. Editorial, 102, (3), 105-106. https://doi.org/10.1111/j.1949-8594.2002.tb17903.x

Francis, W. N. (1958). The structure of American English. New York.

Freitag, M. (1997). Reading and writing in the mathematics classroom. The Mathematics Educator, 8(1), 16-21.

Gadamer, H. G. (2006). Language and understanding, Theory, Culture & Society, 23(1), 13-27. https://doi.org/10.1177/0263276406063226

Galligan, L. (2021). Language and mathematics. Hine, G., Anderson, J., Reaburn, R., Cavanagh, M., Galligan, L., Ngu, B. H., & White, B. (Eds.), Teaching secondary mathematics (35-57), Cambridge University Press.Gambrell, L. B., Block, C. C., & Presley, M. (2002). Improving comprehension instruction: An urgent priority.

C. C. Block, L. B. Gambrell, M. Pressley (Eds.). Improving comprehension instruction: Rethinking research, theory, and classroom practice (pp. 3-16), Jossey-Bass.Gemalmaz, E. (2010). Türkçenin derin yapısı. Cengiz Alyılmaz & Osman Mert (Yay. Hzl.), Belen.

Gencan, T. (2007). Dil bilgisi. Tek Ağaç Eylül.

Goodstein, R. L. (1970). Mathematical structures of language. The Mathematical Gazette, 54(388), 173-174.

Grabe, W. & Stoller, F. L. (2002). Teaching and researching reading. Longman.

Grabe, W. (2009). Reading in a second language moving from theory to practice. Cambridge University Press.

Guiraud, P. (1994). Göstergebilim. İmge Kitapevi.

Güneş, F. (2004). Okuma yazma öğretimi ve beyin teknolojisi. Ocak.

Harley, T. A. (1995). The psychology of language: From data to theory. Taylor & Francis.

Harris, A. J., & Sipay, E. R. (1990). How to increase reading ability. Longman.

Harris, Z. S. (1968). Mathematical structures of language. Interscience Publishers.

Hauser, M. D., Yang, C., Berwick, R. C., Tattersall, I., Ryan, M. J., Watumull, J., Chomsky, A., & Lewontin, R. C. (2014). The mystery of language evolution. Frontiers in Psychology, 5(1), 1-12. 10.3389/fpsyg.2014.00401

Hengirmen, M. (2007). Türkçe dilbilgisi. Engin.

Janzen, J. E. (2003). Understanding the nature of autism. A guide to the autism spectrum disorder (2nd ed.). Therapy Skills Builders.

Kabael, T., & Baran, Y. A. (2016). Matematik öğretmenlerinin matematiksel iletişim becerilerinin gelişimine yönelik farkındalıklarının incelenmesi. İlköğretim Online, 15(3), 868-881. http://dx.doi.org/10.17051/io.2016.78518

Kant, I. (2016). Arı usun eleştirisi, (Çev.), Zeki Eyuboğlu, Say.

Karatay, H. (2010). İlköğretim öğrencilerinin okuduğunu kavrama ile ilgili bilişsel farkındalıkları. Türklük Bilimi Araştırmaları, 27, 457-475.

Kaufmann, F. (1978). The infinite in mathematics. Reidel Publishing Company.

Keşan, C., Kaya, D., & Yetişir, Ş. (2008). Türkçe-matematik birlikteliğinin öğrenci başarısını etkileme gücü üzerine bir araştırma. Üniversite ve Toplum, 8(2), 1-8.

Kintsch, W., & Kintsch, E. (2005). Roles of Motivation and engagement in reading comprehension assessment. In S. G. Paris & S. A. Stahl (Eds.), Children’s reading comprehension and assessment (pp. 187-214), Lawrence Erlbaum Associates.

Koç, A. A., Taylan, E. E., & Bekman, S. (2002). Türkiye’de okul öncesi eğitimi: Hizmete duyulan ihtiyaçların saptanması ve çocuğun dil yetisi düzeyinin değerlendirilmesi araştırma raporu. AÇEV.

MEB (2019). Millî Eğitim Bakanlığı Türkçe dersi (1-8. Sınıflar) öğretim programı. MEB Yayınları

Mellard, D. F., Woods, K. L., & McJunkin, L. (2015). Literacy components model for at-risk young adults enrolled in career and technical education. Journal of Research in Reading, 38, 249-271. http://dx.doi.org/10.1111/1467-9817.12014

Mengüşoğlu, T. (1988). Felsefeye giriş. Remzi.

Merriam, S. B. (2009). Qualitative research: A guide to design and implementation. Jossey-Bass A Willey Imprint.

Merz, E. C., Zucker, T. A., Landry, S. H., Williams, J. M., Assel, M., Taylor, H. B., (2015). Parenting predictors of cognitive skills and emotion knowledge in socioeconomically disadvantaged preschoolers. Journal of Experimental Child Psychology, 132, 14-31. http://dx.doi.org/10.1016/j.jecp.2014.11.010

Mestre, J. P. (1981). Predicting academic achievement among bilingual Hispanic college technical students. Educational and Psychological Measurement, 41, 1255–1264. http://dx.doi.org/10.1177/001316448104100433

Miller, G. A. (1963). Language and Communication. McGraw-Hill Book Company, Inc.

Millikan, R. G. (2005). Language: A biological model. Clarendon Press.

Mohseni-Takaloo, N., & Ahmadi, M. R. (2017). The effect of learners’ motivation on their reading comprehension skill: A literature review. International journal of research in English education, 2(3), 10-21.

Muzzio, I. A., Kentros, C., & Kandel, E. (2009). What is remembered? Role of attention on the encoding and retrieval of hippocampal representations. The Journal Physiol, 587(12), 2837–2854. 10.1113/jphysiol.2009.172445

Nesher, P., & Katriel, T. (1986). Learning numbers: A linguistic perspective. Journal for Research in Mathematics Education, 17(2), 100-111.

Ní Ríordáin, M., & O’Donoghue, J. (2009). The relationship between performance on mathematical word problems and language proficiency for students learning through the medium of Irish. Educational Studies in Mathematics, 71(1), 43-64.

Noonan, J. (1990), Readability problems presented by mathematics text. Early Child Development and Care, 54, 57-81.

Norton, A., & Deater-Deckard, K. (2014). Mathematics in mind, brain, and education: A Neo-Piagetian approach. International Journal of Science and Mathematics Education, 12(3), 647-667. 10.1007/s10763-014-9512-6.

Nufus, N., & Ariawan, R. (2019). Relationship between cognitive style and habits of mind. Malikussaleh Journal of Mathematics Learning, 2(1), 23-28. https://doi.org/10.29103/mjml.v2i1.756

O’Halloran, K. L. (2015). The language of learning mathematics: A multimodal perspective. Journal of Mathematical Behavior, 40, 63-74.

Oakhill, J., Cain, K., & Elbro, C. (2019). Reading comprehension and reading comprehension difculties. In D. A. Kilpatrick, R. M. Joshi, & R. K. Wagner (Eds.), Reading development and difculties (pp. 83-115). Springer

Özbay, M. (2006). Türkçe özel öğretim yöntemleri 2. Öncü Kitap.

Pehkonen, E., Hannula, M., Maijala, H., & Soro, R. (2006). Infinity of numbers: How students understand it. In J. Novotna, H. Moraov’a, M. Kr’atk’a, & N. Stehl´´ıkova (Eds.),’ Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education: 4 (pp. 345-352). PME

Peng, P., Lin, X., Ünal, Z. E., Lee, K., Namkung, J., Chow, J., & Sales, A. (2020). Examining the mutual relations between language and mathematics: A meta-analysis. Psychological Bulletin, 146(7), 595-634. https://doi.org/10.1037/bul0000231

Perez, A. L., & Alieto, E. (2018). Change of “tongue” from english to a local language: a correlation of mother tongue proficiency and mathematics achievement. The Asian ESP Journal, 14(7.2), 132-150.

Peters, F. F. (2004). Antik yunan felsefesi terimleri sözlüğü. H. Hünler (Çev.). Paradigma.

Piaget, J. (1959). The language and thought of the child. Routledge.

Piaget, J. (1972). Intellectual evolution from adolescence to adulthood. Human Development 15(1), 1-12.

Pind, J., Gunnarsdóttir, E. K., & Jóhannesson, H. S. (2003). Raven’s standard progressive matrices: New school age norms and a study of the test’s validity. Personality and Individual Differences, 34, 375-386. http://dx.doi.org/10.1016/S0191-8869(02)00058-2

Polya, G., (1957). How to solve It: A new aspect of mathematical method. Princeton University Press.

Quartz, S. R., & Sejnowski, T. J. (1997). The neural basis of cognitive development: A constructivist manifesto. Behavioral and Brain Sciences, 20, 537-596

Revelle, W. (2018). Psych: Procedures for psychological, psychometric, and personality research. R package version 1.8.12. https://CRAN.R-project.org/package=psych

Rose, D. S., Parks, M., Androes, K., & McMahon, S. D. (2000). Imagery-based learning: Improving elementary students’ reading comprehension with drama techniques, The Journal of Educational Research, 94(1), 55-63, doi: 10.1080/00220670009598742

Rosseel, Y. (2012). Lavaan: An R package for structural equation modeling. Journal of Statistical Software, 48(2), 1-36. http://dx.doi.org/10.18637/jss.v048.i02

Russell, B. (1920). Introduction to Mathematical Philosophy. George Allen & Unwin, Ltd. https://people.umass.edu/klement/imp/imp-ebk.pdf

Sapir, E. (1921). Language: An introduction to the study of speech. Harcourt Brace Jovanovich Publishers.

Saussure, F. (1916). Course in General Linguistics (English translation by Baskin, W.). McGraw-Hill Book Company.

Senemoğlu, N. (2004). Gelişim öğrenme ve öğretme. Gazi Kitabevi.

Sever, S. (1995). Türkçe öğretimi ve tam öğrenme. Anı.

Sophian, C., & Crosby, M. E. (2008). What eye fixation patterns tell us about subitizing. Developmental Neuropsychology, 33(3), 394-409.

Souviney, R.J. (1983). Mathematics achievement, language and cognitive development: Classroom practices in Papua New Guinea. Educ Stud Math, 14, 183-212. https://doi.org/10.1007/BF00303685

Taşdelen, V. (2012). Düşünme eğitimi ve iyi hayat kavramı. Bilim ve Aklın Aydınlığında Eğitim, 146, 20- 28.

Taşkın, N. (2013). Okul öncesi dönemde matematik ile dil arasındaki ilişki üzerine bir inceleme. (Doktora tezi). Ankara: Hacettepe Üniversitesi Sosyal Bilimler Enstitüsü.

Tatar, E., & Soylu, Y. (2006). Okuma-anlamadaki başarının matematik başarısına etkisinin belirlenmesi üzerine bir çalışma. Kastamonu Eğitim Dergisi, 14(2), 503-508. Retrieved from https://dergipark.org.tr/tr/pub/kefdergi/issue/49104/626627

Ülper, H. (2010). Okuma ve anlamlandırma becerilerinin kazandırılması. Nobel Yayın Dağıtım.

Ün, K. (1984). Yabancı dil sözcüklerinin öğretiminde bellek destekleyici anahtar sözcük yönteminin etkililiği [Yayınlanmamış doktora tezi]. Ankara: Hacettepe Üniversitesi, Sosyal Bilimler Enstitüsü.

Uygur, N. (1984). Kültür kuramı. Remzi Kitabevi.

Vardar. B. (2007). Açıklamalı dilbilim terimleri sözlüğü. Multilingual.

Vernant, J. P., & Vidal-Naquet, P. (2012). Eski Yunan’da Mit ve Tragedya, S. Tamgüç & R. F. Çam, (Çev.), Kabalcı.

Vygotsky, L. (1986), Thought and language. MIT Press.

Wagner, R. K., Schatschneider, C., & Phythian-Sence, C. (2009). Promising interfaces. In R. K. Wagner, C. Schatschneider, & C. Phythian-Sence, (Eds.), Beyond decoding: The behavioral and biological foundations of reading comprehension (pp. 287-291). The Guilford.

Waller, P. P., & Flood, C. T. (2016). Mathematics as a universal language: transcending cultural lines. Journal for Multicultural Education 10(3), 294-306. 10.1108/JME-01-2016-0004.

Wiedermann,W., & Li, X. (2018). Direction dependence analysis: A framework to test the direction of effects in linear models with an implementation in SPSS. Behavior Research Methods, 50(4), 1581–1601. https://doi.org/10.3758/s13428-018-1031-x

Wiedermann, W., & Li, X. (2019). Direction dependence analysis in R. http://www.ddaproject.com

Wiedermann, W., Li, X., & von Eye, A. (2020). Direction dependence analysis: Statistical foundations and applications. In Wiedermann, W., Kim, D., Sungur, E. A., & von Eye, A. (Eds.), Direction dependence in statistical modeling: Methods of analysis (pp. 9-46). John Wiley & Sons. https://doi.org/10.1002/9781119523024.ch2

Wiedermann, W., & Sebastian, J. (2020). Direction dependence analysis in the presence of confounders: Applications to linear mediation models. Multivariate Behavioral Research, 55(4), 495-515. https://doi.org/10.1080/00273171.2018.1528542

Wiedermann, W., & von Eye, A. (2015). Direction-dependence analysis: A confirmatory approach for testing directional theories. International Journal of Behavioral Development, 39(6), 570-580. https://doi.org/10.1177/0165025415582056

Wilkinson, L. C. (2018). Teaching the language of mathematics: What the research tells us teachers need to know and do. The Journal of Mathematical Behavior, 51, 167-174. https://doi.org/10.1016/j.jmathb.2018.05.001

Wittgenstein, L. (2008), Tractatus logico-philosophicus, (Çev. Oruç Aruoba), Metis.

Wood, D. (2003). Çocuklarda düşünme ve öğrenme (Çev. Mine Özünlü). Doruk.

Yin, R. K. (2018). Case study research and applications: Design and methods. Sage publications.




DOI: https://doi.org/10.7575/aiac.ijels.v.11n.3p.271

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