Different reading styles for mathematics text
A broad categorisation of different reading styles for mathematics text is generated in this research. The styles derive from those found in literature around academic reading skills. These styles are inductively refined using video transcripts of five specially chosen students studying out loud from a prescribed mathematics textbook. The context is a self-study mathematics course directed at high school mathematics teachers with weak content knowledge. Reading is understood as a transaction (enacted curriculum) between text (written curriculum) and reader. Reading styles are characterised in terms of depth of reading, focus on different components of text or not, connections within text or to prior knowledge, and performance on exercises. Five different styles of reading mathematics text are identified: close reading with strong connections, close reading with some connections, scanning, skimming, and avoiding. The different reading styles are also interpreted in terms of structure, voice, and genre of the textbook.
KeywordsMathematics reading styles Mathematics textbook analysis Written curriculum Enacted curriculum Learner’s use of mathematical textbook Form of address
This work is based on research supported in part by the National Research Foundation of South Africa: UID Number 85685.
- BBC. (2011). Skillswise: English and maths for adults. Retrieved from http://www.bbc.co.uk/skillswise/factsheet/en05skim-e3-f-skimming-and-scanning. Accessed 6 Jan 2017.
- BBC & British Council. (2008). Intensive reading. Retrieved from https://www.teachingenglish.org.uk/article/intensive-reading. Accessed 6 Jan 2017.
- Berger, M. (2016). Reading and learning from mathematics textbooks: An analytic framework. In C. Csikos, A. Rausch, & J. Szitanyi (Eds.), Proceedings of the 40th conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 83–90). Szeged: PME.Google Scholar
- Berger, M. (2017). Reading mathematics text: A study of two empirical readings. International Journal of Science and Mathematics Education. https://doi.org/10.1007/s10763-017-9867-6
- Gerofsky, S. (1999). Genre analysis as a way of understanding pedagogy in mathematics education. For the Learning of Mathematics, 19(3), 36–46.Google Scholar
- Glaser, B. G., & Strauss, A. L. (1967). The discovery of grounded theory: Strategies for qualitative research. New Brunswick: Aldine Transaction.Google Scholar
- Kilpatrick, J. (2014). From clay tablets to computer tablet: The evolution of school mathematics textbooks. International Conference on Mathematics Textbook Research and Development 2014 (ICMT-2014) 29–31 July 2014, University of Southampton, UK.Google Scholar
- Massey University. (2012). The online writing and learning link. Reading styles. Retrieved from owll.massey.ac.nz/study-skills/reading-styles.php. Accessed 10 Jan 2017.
- Österholm, M. (2008). Do students need to learn how to use their mathematics textbooks? The case of reading comprehension. NOMAD -Nordisk Matematikkdidakticc, 13(3), 53–73.Google Scholar
- Remillard, J. (2012). Modes of engagement: Understanding teachers’ transactions with mathematics curriculum resources. In G. Gueudet, B. Pepin, & L. Trouche (Eds.), From text to “lived” resources: Mathematics curriculum materials and teacher development (pp. 105–122). Dordrecht: Springer.Google Scholar
- Rezat, S. (2008). Learning mathematics with textbooks. In O. Figueras, L. Cortina, S. Alatorre, T. Rojano, & A. Sepulveda (Eds.), Proceedings of the 32nd conference of the International Group for the Psychology of Mathematics Education and PME-NA XXX (Vol. 4, pp. 177–184). Morelia: PME.Google Scholar
- Rezat, S., & Straesser, R. (2014). Mathematics textbooks and how they are used. In P. Andrews & T. Rowland (Eds.), MasterClass in mathematics education: International perspectives on teaching and learning (pp. 51–62). London & New York: Bloomsbury.Google Scholar
- Schleppegrell, M. J. (2004). The language of schooling: A functional linguistics perspective. Mahwah, NJ: Erlbaum.Google Scholar
- Sierpinska, A. (1997). Formats of interaction and model readers. For the Learning of Mathematics, 17(2), 3–12.Google Scholar
- Sullivan, M. (2012). Precalculus (9th ed.). Boston: Pearson Education.Google Scholar
- Vygotsky, L. (1978). In M. Cole, V. John-Steiner, S. Scribner, & E. Souberman (Eds.), Mind in society. Cambridge: Harvard University Press.Google Scholar