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K. Subramaniam


                                                        ks

 

 

 

Education

  •  Ph.D. in Philosophy, 1992, Indian Institute of Technology, Bombay 
  •   M.A. in Philosophy, 1995, University of Bombay.   
  •  B.Tech. in Aeronautical Engineering, 1984, Indian Institute of Technology Madras.

Areas of Work

  • Mathematics Education at school level: Development of curricular and co-curricular teaching materials, teacher training and teaching students
  • Research: Cognitive aspects of mathematics learning, Mental representations in reasoning and problem solving
  • Science and mathematics popularization: Through lectures, exhibitions and books, including some on history of science and mathematics.

Selected Publications

Books

  1. Subramaniam, K. and Mazumdar, A. (eds.) (2009) Proceedings of epiSTEME-3: International Conference to Review Research in Science, TEchnology and Mathematics Education, New Delhi: Macmillan India.
  2. Subramaniam, K. (2001) Maths for Every Child, Part A, Text-cum-workbook of the Homi Bhabha Curriculum in Mathematics for class 3, Mumbai, Homi Bhabha Centre for Science Education. Translated by H.C. Pradhan and A.T. Mavlankar into Marathi as Sarvaansaathi Ganit, Bhaag Ek, 2002.
  3. Subramaniam, K. (2001) Maths for Every Child, Part B, Text-cum-workbook of the Homi Bhabha Curriculum in Mathematics for class 3, Mumbai, Homi Bhabha Centre for Science Education. Translated by H.C. Pradhan A.T. Mavlankar and S. Naik into Marathi as Sarvaansaathi Ganit, Bhaag Do, 2002
  4. Subramaniam, K. (2005) Maths for Every Child, Teachers' book to accompany text-cum-workbooks of the Homi Bhabha Curriculum in Mathematics for class 3. Translated into Marathi by S. Naik and H.C. Pradhan.

Course Material and Technical Reports

  1. Padalkar, Shamin, Moon in the Sky: Project in Visuospatial Reasoning, Internal Report, Project supervisor: K. Subramaniam, May, 2006.
  2. Saibaba, L., Subramaniam, K. and Bandyopadhyay, A., Mathwiki: A Resource for Problem Solving, HBCSE Technical Report, November, 2005.
  3. "Working with fractions", Input paper for course material for Teaching of Primary Mathematics - PMT-02, Indira Gandhi Open University, 2001.
  4. "Working with decimals", Input paper for course material for Teaching of Primary Mathematics - PMT-02, Indira Gandhi Open University, 2001.
  5. Subramaniam, K., Sahoo, P.K., Threads in time: Historical Connections to School Mathematics, Technical Report no. 45, HBCSE, 1999.
  6. Subramaniam, K., Vasudeva Murthy, V., Fernando, A.V.L, Exploring Mathematics: Dissections and Graphs, Technical Report no. 44, HBCSE, 1999.
  7. Mathematics Lab Report
  8. Geometry Through Collage

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Refreed Articles

  1. Subramaniam, K. and Padalkar, S. (2009) Visualisation and Reasoning in Explaining the Phases of the Moon. International Journal of Science Education, Vol. 31(3), 395-417.
  2. Banerjee, R., Subramaniam, K. and Naik, S. (2008) 'Bridging Arithmetic and Algebra: Evolution of a Teaching Sequence', In O. Figueras et al. (eds.) International group of the psychology of mathematics education: Proceedings of the Joint Meeting of PME 32 and PME-NA XXX (PME29), Vol 2, 121-128, Morelia, Mexico.
  3. Naik, S. and Subramaniam, K. (2008) 'Integrating the measure and quotient interpretation of fractions'. In O. Figueras et al. (Eds.) International group of the psychology of mathematics education: Proceedings of the Joint Meeting of PME 32 and PME-NA XXX (PME29), Vol 4, 17-24, Morelia, Mexico.
  4. Banerjee, R. and Subramaniam, K. (2007) Exploring student's reasoning with algebraic expressions (Short oral paper). Proceedings of the 31st International Conference of the Psychology of Mathematics Education, Seoul, Korea.
  5. Banerjee, R. and Subramaniam, K. (2005) Developing Procedure and Structure Sense Of Arithmetic Expressions, In H. L. Chick and J. L. Vincent (Eds.) Proceedings of the 29th conference of the international group of the psychology of mathematics education (PME29), Melbourne, Australia, 2005.
  6. Naik, S. S., Banerjee, R and Subramaniam. K. (2005) Understanding Student's Reasoning While Comparing Expressions, In P. Clarkson et al. (Eds.) Proceedings of the annual conference of the mathematics education research group of Australasia Inc. (MERGA), Melbourne, Australia, 2005.
  7. Subramaniam, K. (2004) ``Naming Practices that Support Reasoning about and with Expressions'' Proceedings of the International Congress on Mathematics Education (ICME 10), Denmark. Available online at http://www.icme10.dk /proceedings/pages/regular_pdf/ RL_K_Subramanian.pdf
  8. Subramaniam, K. and Banerjee, R. (2004) ``Teaching arithmetic and algebraic expressions". In M. J. Hoines and A. B. Fuglestad (eds.), Proceedings of the 28th conference of Psychology of Mathematics Education, Vol. 3, pp 121-128, Bergen, Norway.
  9. Subramaniam, K. (2003) ``Elementary Mathematics: A Teaching Learning Perspective", Economic and Political Weekly, Special issue on the Review of Science Studies: Perspectives on Mathematics, Vol 37, no. 35, 3694-3702.

Other Articles

  1. Subramaniam, K. (2008) `Drawing from Cognitive Studies of Mathematical Learning for Curriculum Design' International Conference of Mathematics Education: ICME-11, Monterrey, Mexico. Available online at http://tsg.icme11.org/document/get/794.
  2. Subramanian, J., Subramaniam, K., Naik, S., Verma, B. (2008) `Combining Share and Measure Meaning of Fractions to Facilitate Students' Reasoning', International Conference of Mathematics Education: ICME-11, Monterrey, Mexico. Available online at http:// tsg.icme11.org/document/get/823.
  3. Subramaniam, K. (2007) `Is School Mathematics All about Recipes for Calulation?'. In Proceedings of the Conference on Technology and Innovation in Math Education, I.I.T., Bombay.
  4. Subramaniam, K. (2007) `What Mathematics does Everyone need to Learn'. In Proceedings of the Workshop on People's Education, HBCSE.
  5. Dhakulkar, A. and Subramaniam, K. (2007) `Mathematical Literacy And Situated Social Knowledge: Understanding Revolving Credit', Proceedings of the Indian Social Science Congress.
  6. Padalkar, S. and K. Subramaniam (2007)`Reasoning Processes Underlying the Explanation of the Phases of the Moon', Proceedings of Episteme-2, New Delhi: Macmillan India. 121-125.
  7. Subramaniam, K. and S. Naik (2007) `Extending the Meaning of the Fraction Notation', Proceedings of Episteme-2, New Delhi: Macmillan India, 223-227.
  8. Banerjee, R., K. Subramaniam and S. Naik, (2007) `Designing an Instructional Sequence for Transiting from Arithmetic to Algebra in the Middle School', Proceedings of Episteme-2, New Delhi: Macmillan India, 218-222.
  9. ``What is mathematics education research and why is it important?'', Learning Curve, Issue V, March, 2005.
  10. Banerjee, R. and Subramaniam, K. (2004) ```Term' as a bridge concept between arithmetic and algebra'', Proceedings of Episteme-1, HBCSE. 76-77.
  11. Naik, S., Banerjee, R. and Subramaniam, K. (2004) ``Students' use of language and symbols in reasoning about arithmetic expression'', Proceedings of Episteme-1, HBCSE. 92-94.
  12. Subramaniam, K. (2004) ``Innovative Practices in Mathematics Education: An Overview'', Proceedings of the National Conference on Enhancing Learning in Elementary Schools, Organized by MHRD, Govt. of India and Azim Premji Foundation, Bangalore, 2004. Available online at http://www.azimpremjifoundation.org/ downloads/ KSubramaniampaperforlearningconference.pdf
  13. Subramaniam, K. (2002) ``The Homi Bhabha Curriculum in Primary Mathematics: Background and Overview", Conference Proceedings: Science Technology and Mathematics Education for Human Development, Vol. 1, HBCSE, TIFR.
  14. Subramaniam, K. (2000) ``Geometrical Examples from Real Life'', in Bhalwankar, A.G., Modi, K. and Rawool, S. (eds.) Pathways in Mathematics Education, Colloquium in Mathematics, World Mathematics Year 2000, PVDT College of Education, SNDT University, Mumbai, 2000.
  15. Subramaniam, K., Pradhan, H.C., " An approach towards a mathematics curriculum for primary schools", Paper read at the Seminar on Universalisation of Primary Education, Indian Institute of Education Pune, 2000
  16. Subramaniam, K., Pradhan, H.C., "Ensuring that mathematics education has real benefits: the problem of transfer", International seminar on 1500 years of Aryabhateeyam, Jan. 2000, Dept. of Education, Govt. of Kerala, Trivandrum.
  17. Subramaniam, K. "Inscriptions, Facts and Black-boxes: Is Modern Science Radically Different?" in Raina, D. and Irfan Habib, S. (eds.) Situating the History of Science: Dialogues with Joseph Needham, New Delhi, Oxford University Press, 1999.
  18. Subramaniam, K. "History of Mathematics and elementary mathematics education", International Worshop on `History of Science: Implications for Science Education', Feb 1999, HBCSE, Mumbai.
  19. Subramaniam, K. "Situations for teaching and learning fractions", Seminar on Aspects of Teaching and Learning Mathematics in the Primary School, School Mathematics Project, Centre for Science Education and Communication, University of Delhi, Delhi, Jan., 1999
  20.  `On Mathematization: An Example from History', Seminar on `Truth, Interpretation and Language', Mumbai University, Mar 2007.
  21.  `Challenges of School Science and Mathematics Education in India', Invited talk at the Second Anniversary, Marang Centre for Science and Mathematics Education, University of Witwatersrand, Johannesburg, South Africa, Oct 2007.
  22.  Subramaniam, K., `Education in a networked society - Does it belong to the public sphere', Paper presented at the National Seminar on `The Idea of Public Sphere', IIT Delhi, Mar 2006.

Graduate courses taught

  1. Introduction to Mathematics Education Research, 2008
  2. Representations and Reasoning, 2008
  3. Pedagogy of Mathematics, 2006-2008, for M.A. (Education)
  4. Cognitive Development, 2006
  5. Child Development and Cognition, 2006, M.A. (Education)
  6. Course co-ordinator for the course `Pedagogy of Mathematics' for M.A. (Education)
  7. Imagery and Reasoning, 2005
  8. Visuospatial Thinking in Geometry, 2005
  9. Algebra Education: Research results and questions (2004)
  10. Cognitive Development (2003)
  11. Learning Algebra, Reading course (2003)
  12. Topics in Mathematics Education (2002)
  13. Polyhedra, part of the polyhedra exhibition project (2002)

 

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