# Out of school and in school mathematical knowledge

This research explores the nature and extent of mathematical knowledge that middle-grade students from urban, low SES backgrounds gain from work-contexts and its implications for school learning of mathematics. A teaching intervention explored the features of mathematical instruction that makes strong connections with out-of-school knowledge and characterized a set of shifts that lead from informal to formal mathematical learning.

##### Publications

Bose, A. & Clarkson, P. (2016). Students’ use of their languages and registers: An example of the socio-cultural role of language in multilingual classrooms. In A. Halai & P. Clarkson (Eds.), *Teaching and learning mathematics in multilingual classrooms: Issues for policy and practice*. Rotterdam, The Netherlands: Sense Publishers.

Prediger, S. Clarkson, P. & Bose, A. (2016). Purposefully relating multilingual registers: Building theory and teaching strategies for bilingual learners based on an integration of three traditions. In R. Barwell, P. Clarkson, A. Halai, M. Kazima, J. Moschkovich, N. Planas, M. Phakeng, P. Valero & U. M. Villavicencio (Eds.), *Mathematics Education and Language Diversity – The 21st ICMI Study, **(*pp. 193-215). Dordrecht: Springer.

Bose, A. & Subramaniam, K. (2015). “Archaeology” of measurement knowledge: Implications for school math learning. In S. Mukhopadhyay & B. Greer (Eds.), In *Proceedings of the 8th Annual Conference of Mathematics Education and Society (MES), Vol. 2, *pp. 340-354. Portland, USA: MES. ISSN: 2077-9933.

Phakeng, M., Bose, A. & Planas, N. (2015). A reflection on mathematics education and language diversity in PME conferences. In K. Beswick, T. Muir, & J. Wells (Eds.). Proceedings of 39th Conference of the International Group for the Psychology of Mathematics Education, Vol. 4, pp. 9-16. Hobart, Australia: PME.

Atweh, B., Bose, A., Graven, M., Subramanian, J., & Venkat, H. (2014). *Teaching numeracy in pre-school and early grades in low-income countries.* Bonn: Deutsche Gesellschaft für Internationale Zusammenarbeit (GIZ) GmbH , German Federal Ministry for Economic Cooperation and Development (BMZ). Available at: https://www.giz.de/expertise/

Bose, A. (2014). Revisiting transfer of learning in mathematics: Insights from an urban low-income settlement. In P. Liljedahl, C. Nicol, S. Oesterle & D. Allan (Eds.). *Proceedings of the Joint Meeting of PME 38 and PME-NA 36*, Vol. 2, pp. 177-184. Vancouver, Canada: PME.

Bose, A. & Kantha, V. K. (2014). Influence of socio-economic background and cultural practices on mathematics education in India: A contemporary overview in historical perspective. *ZDM – The International Journal on Mathematics Education*, 46(7). DOI: 10.1007/s11858-014-0607-x.

Marcone, R. & Bose, A. (2014). Platform 3: Where foreground meets background. In P. Liljedahl, C. Nicol, S. Oesterle & D. Allan (Eds.). Proceedings of the Joint Meeting of PME 38 and PME-NA 36, Vol. 6, p. 165. Vancouver, Canada: PME.

Bose, A., & Subramaniam, K. (2013). Characterising work-contexts from a mathematics learning perspective. In G. Nagarjuna, A. Jamakhandi, & E. M. Sam (Eds.), *Proceedings of epiSTEME-5: International conference to review research on Science, TEchnology and Mathematics Education*, (pp. 173 – 179). Margao, India: CinnamonTeal Publishing.

Bose, A., & Subramaniam, K. (2012). Profile of students’ arithmetical knowledge acquired in and outside school. In *Proceedings of the 12th International Congress on Mathematical Education*, (p. 7386). Seoul, South Korea: ICME. (poster)

Prediger, S., Clarkson, P. C., & Bose, A. (2012). A way forward for teaching in multilingual contexts: Purposefully relating multilingual register. In *Proceedings of the 12th International Congress on Mathematical Education*, (pp. 6213 – 6222). Seoul, South Korea: ICME.

Subramaniam, K. (2012). Does participation in household based work create opportunities for learning mathematics?. Plenary Panel on Opportunities for Learning Mathematics, In *Proceedings of the 36th conference of the International group for the Psychology of Mathematics Education*. Vol. 1, pp. 107-112, Taipei, Taiwan.

Subramaniam,K., & Bose, A. (2012). Measurement units and modes: The Indian context. In *Proceedings of the 12th International Congress on Mathematical Education*, (pp. 1974 – 1983), Seoul, South Korea: ICME.

Bose, A., & Subramaniam, K. (2011). Exploring school children’s out of school mathematics knowledge. In Ubuz, B. (Ed.), *Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education*, (Vol. 2, pp. 177 – 184). Ankara, Turkey: PME. (Poster)

Bose, A., & Choudhury, M. (2010). Language negotiation in a multilingual mathematics classroom: An analysis. In L. Sparrow, B. Kissane, & C. Hurst (Eds.), *Proceedings of the 33rd Annual Conference of the Mathematics Education Research Group of Australasia,* (pp. 93–100). Australia: Fremantle.

#### Posters

Research Posters on ‘Out of school and in school mathematical knowledge’