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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.

Publication

 

Curricular and related resources

  • Subramaniam, K. (2005). Maths for every child. Class 3, Teachers' book. Mumbai, India: Homi Bhabha Centre for Science Education.

  • Subramaniam, K. (2001). Maths for every child. Class3 - Part A, Text-cum-workbook. Mumbai, India: Homi Bhabha Centre for Science Education.

  • Subramaniam, K. (2001). Maths for every child. Class 3 - Part B, Text-cum-workbook. Mumbai, India: Homi Bhabha Centre for Science Education.

 

Resources for Tecahers

  • Subramaniam, K. (Ed.). (2010). Mathematics teacher training manual class I and class II. New Delhi: NCERT.

  • Subramaniam, K. (Concept & Scriptwriter), Naik, S. (Assistant Scriptwriter), Nair, M. (Camera & Editing). (2001). Video Module for teacher training: Assessment in the maths classroom, Teaching a mathematical procedure, Explaining a concept, Using teaching aids, Teaching through questioning. Mumbai, India.

  • Subramaniam, K. (2000). Geometrical examples from real life. In A. G. Bhalwankar, K. Modi, & S. Rawool (Eds.), Pathways in Mathematics Education, Colloquium in Mathematics. PVDT college of Education, Mumbai: SNDT University.

 

Research Publications


Books

  • Sriraman, B., Cai, J., Lee, K., Lianghuo, F., Shimuzu, Y., Lim, C. S., & Subramaniam, K. (Eds.). (2012). Abstracts of the First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia, and India. Charlotte, North Carolina: Information Age Publishing.

In Books

  • Kumar, R. S., Subramaniam, K., & Naik, S. (In Press). Professional development of In-service mathematics teachers in India. In B. Sriraman, J. Cai, K. H. Lee, F. Lianghuo, Y. Shimizu, L. C. Sam, & K. Subramaniam (Eds.), Abstracts of the First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India, (pp. 207 – 211). Charlotte, North Carolina: Information Age Publishing, Inc.

  • Kumar, R. S., Dewan, H., & Subramaniam, K. (2012). The preparation and professional development of mathematics teachers. In R. Ramanujam & K. Subramaniam (Eds.), Mathematics Education in India: Status and Outlook, (pp. 151 – 182). Mumbai: Homi Bhabha Centre for Science Education.

  • Subramaniam, K., & Banerjee, R. (2011). The arithmetic-algebra connection: A historical-pedagogical perspective. Early Algebraization: A Global Dialogue from Multiple Perspectives, 87–107: Springer.

In Journals

  • Banerjee, R., & Subramaniam, K. (2012). Evolution of a teaching approach for beginning algebra. Educational studies in mathematics, 80(3): 351-367.

  • Subramaniam, K., & Padalkar, S. (2009). Visualization and reasoning in explaining the phases of the moon. International Journal of Science Education, 31(3), 395–417.

  • Subramaniam, K. (2003). Elementary mathematics: A teaching learning perspective. Economic and Political Weekly, Special Issue on the Review of of Science Studies: Perspective on Mathematics. 37 (35). 3694–3702.

In Proceedings

 

2013

  • Bose, A., & Subramaniam, K. (2013). Characterizing work-context from 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.

  • Kumar, R., & Subramaniam, K. (2013). Elementary teacher’s belief about teaching of mathematics. In G. Nagarjuna, A. Jamakhandi, & E. M. Sam (Eds.), Proceedings of epiSTEME-5: International conference to review research on Science, TEchnology and Mathematics Education. Margao, India: Cinnamonteal publishing.

  • Rahaman, J., Subramaniam, K., & Chandrasekharan, S. (2013). A network model of the mathematical concept of area. 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. 300 – 306). Margao, India: Cinnamonteal publishing.

  • Subramaniam, K. (2013). Research on the learning of fractions and multiplicative reasoning: A review. In S. Chunawala (Ed.), The epiSTEME reviews: Research Trends in Science, Technology and Mathematics Education, (Vol. 4). New Delhi, India: Macmillan.

  • Takker, S., Kanhere, A., Naik, S., & Subramaniam, K. (2013). From relational reasoning to generalization through number sentence tasks. 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. 336 – 342). Margao, India: Cinnamonteal publishing.

2012

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

  • Kumar, R. S., & Subramaniam, K. (2012). Interaction between belief and pedagogical content knowledge of teachers while discussing use of algorithms. In Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 1, pp. 246). Taipei, Taiwan: PME.

  • Kumar, R. S., & Subramaniam, K. (2012). One teachers struggle to teach equivalent fractions with meaning making. In Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 4, pp. 290). Taipei, Taiwan: PME.

  • Kumar, R. S., & Subramaniam, K. (2012). Understanding teachers’ concerns and negotiating goals for teaching: Insights from collaborative lesson planning. In Proceedings of the 12th International Congress on Mathematical Education, (pp. 5157 – 5166). Seoul, South Korea: ICME.

  • Rahaman, J., Subramaniam, K., & Chandrasekharan, s. (2012). Exploring the connection between multiplicative thinking and the measurement of area. In Proceedings of the 12th International Congress on Mathematical Education, (pp. 1964 – 1973). Seoul, South Korea: ICME.

  • Subramaniam, K. (2012). Does participation in household based work create 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: PME.

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

  • Takker, S., & Subramaniam, K. (2012). Towards conceptualizing a teaching sequence to promote early-algebraic thinking. In Proceedings of the National Meet on Celebration of National Year of Mathematics. New Delhi, India: NCERT.

  • Takker, S., & Subramaniam, K. (2012). Understanding teacher’s knowledge of and responses to students’ mathematical thinking. In Proceedings of the 12th International Congress on Mathematical Education, (pp. 4906 – 4915). Seoul, South Korea: ICME.

2011

  • Bose, A., & Subramaniam, K. (2011). Exploring school children’s “everyday” mathematical knowledge. In E. Ubuz (Ed.), Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 1, p. 477). Ankara, Turkey: PME. (poster)

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

  • Subramaniam, K. (2011). Connecting to the folk of mathematical culture through puzzles. In B. Ubuz (Ed.), Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 1, p. 396). Ankara, Turkey: PME.

2010

  • Subramaniam, K., & Naik, S. (2010). Attending to language, culture and children’s thinking as they learn fractions. In M. M. F. Pinto & T. F. Kawasaki (Eds.), Proceedings of the 34th International Conference for Psychology in Mathematics Education. Belo Horizonte, Brazil: PME.

2008  

  • Banerjee, R., Subramaniam, K., & Naik, S. (2008). Briding arithmetic and algebra: Evolution of a teaching sequence. In O. Figueras, et. al. (Eds.), Proceedings of the Joint Meeting of International Group for the Psychology of Mathematics Education- 32 and PME-NA XXX 29, (Vol. 4, pp. 17 – 24). Morelia, Mexico: PME.

  • Naik, S., & Subramaniam, K. (2008). Integrating the measure and quotient interpretation of fractions. In O. Figueras (Ed.), Proceedings of the Joint Meeting of International Group for the Psychology of Mathematics Education- 32 and PME-NA XXX 29, (Vol. 4, pp. 17 – 24). Morelia, Mexico: PME.

  • Subramaniam, K. (2008). Drawing from cognitive studies of mathematical learning for curriculum design. In Proceedings of the International Conference of Mathematics Education. Monterrey, Mexico. Go here- http://tsg.icme11.org/document/get/794

  • Subramaniam, K. (2008). What mathematics does everyone need to learn. In Proceedings of the Core Group Workshop on Science Education in India. Mumbai, India: Homi Bhabha Centre for Science Education.

  • Subramanian, J., Subramaniam, K., Naik, S., & Verma, B. (2008). Combining share and measure meaning of fractions to facilitate students’ reasoning. In Proceedings of the International Conference of Mathematics Education. Monterrey, Mexico.  Go here- http://tsg.icme11.org/document/get/823

2007

  • Banerjee, R., & Subramaniam, K. (2007). Exploring student’s reasoning with algebraic expressions. In Proceedings of the 30th International Conference for the Psychology of Mathematics Education. Seoul, South Korea: PME. (poster)

  • Padalkar, S., & Subramaniam, K. (2007). Reasoning processes underlying the explanation of the phases of the moon. In Proceedings of epiSTEME-2: International conference to review research on Science, TEchnology and Mathematics Education, (pp. 121 – 125). New Delhi, India: Macmillan.

  • Subramaniam, K. (2007). Is school mathematics all about recipes for calculation? In Proceedings of the Conference on Technology and Innovation in Mathematics Education. I.I.T, Mumbai.

  • Subramaniam, K., & Naik, S. S. (2007). Extending the meaning of the fraction notation: A teaching Experiment. In Proceedings of epiSTEME-2: International conference to review research on Science, TEchnology and Mathematics Education, (pp. 223 – 227). New Delhi, India: Macmillan.

2005

  • Banerjee, R., & Subramaniam, K. (2005). Developing procedure and structure sense of arithmetic expressions. In H. L. Chick & J. L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Melbourne, Australia: PME.

  • Banerjee, R., Subramaniam, K., & Naik, S. S. (2005). Designing an instructional sequences for transiting from arithmetic to algebra in the middle school. In Proceedings of epiSTEME-2: International conference to review research on Science, TEchnology and Mathematics Education, (pp. 218 – 222). New Delhi, India: Macmillan.

  • Naik, S. S., Banerjee, R., & Subramaniam, K. (2005). Understanding student’s reasoning while comparing expressions. In P. Clarkson, et. al. (Ed.), Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia. Melbourne, Australia: MERGA.

2004  

  • Banerjee, R., & Subramaniam, K. (2004). Term as a bridge concept between arithmetic and algebra. In Proceedings of epiSTEME-1: International conference to review research on Science, TEchnology and Mathematics Education, (pp. 76 – 77). Mumbai, India: Homi Bhabha Centre for Science Education.

  • Naik, S. S., Banerjee, R., & Subramaniam, K. (2004). Students’ use of language and symbols in reasoning about arithmetic expression. In Proceedings of epiSTEME-1: International conference to review research in Science, TEchnology and Mathematics Education, (pp. 92 – 94). Mumbai, India: Homi Bhabha Centre for Science Education.

  • Subramaniam, K. (2004). Innovative practices in mathematics education: An overview. In Proceedings of the National Conference on Enhancing Learning in Elementary Schools. Bangalore, India: Azim Premji Foundation.

  • Subramaniam, K. (2004). Naming practices that support reasoning about and with expressions. In Proceedings of the 10th International Congress on Mathematics Education. Denmark: ICME.

  • Subramaniam, K., & Banerjee, R. (2004). Teaching arithmetic and algebraic expressions. In M. J. Hoines & A. B. Fuglestad (Eds.), Proceedings of the 28th Conference of Psychology of Mathematics Education, (Vol. 3, pp. 121 – 128). Bergen, Norway: PME.

  2002  

  • Subramaniam, K. (2002). The Homi Bhabha curriculum in primary mathematics: Background and overview. In Proceedings of the Science Technology and Mathematics Education for Human Development, (Vol. 1). Mumbai, India: Homi Bhabha Centre for Science Education.

 

Expository Writings  

  • Subramaniam, K. (2013). When you don’t know the solution to a problem? At Right Angles, 2(1).

  • Kumar, R. S., & Subramaniam, K. (2011). Collaborative approach for continuous in-service teacher professional development. In Abstracts of National Seminar on Current Issues in Teacher Education, (pp. 39 – 40). The Maharaja Sayajirao University of Baroda, Vadodara, India.

  • Subramaniam, K. (2010, March). Culture in the learning of mathematics. Learning Curve, 26 – 28.

  • Dhakulkar, A., & Subramaniam, K. (2007). Mathematical literacy and situated social knowledge: Understanding revolving credit. In Indian Social Science Congress.

  • Subramaniam, K. (2005, March). What is mathematics education research and why is it important? Learning Curve, (5).

  • Subramaniam, K. (2004). ICME-10 report, Bulletin of International Commission on Mathematics Instruction.

  • Subramaniam, K. (2002). Working with Fraction, Unit for course on teaching of primary mathematics, Indira Gandhi National open University: PMT.

  • Singh, V. (1995). Epistemology of the natural and the social science, Vivek 8(4). Lecture notes written by K. Subramaniam.

  • Olson, D. (1996). Cognitive consequences of literacy, Vivek9(2). Lecture notes written by K. Subramaniam.

 

Internal and Technical Reports  

  • Padalkar, S. (2006, May). Moon in the sky: Project in visuospatial reasoning (Internal Report). Project Supervisor: K. Subramaniam.

  • Saibaba, L., Subramaniam, K., & Bandyopadhyay, A. (2005). Mathwiki: A Resource for Problem Solving (Technical). Mumbai, India: Homi Bhabha Centre for Science Education.

  • Subramaniam, K., Vasudeva, M. V., & Fernando, A. V. L. (1999). Exploring mathematics: Dissections and graphs, (Technical No. 44). Mumbai, India: Homi Bhabha Centre for Science Education.

  • Subramaniam, K., & Sahoo, P. K. (1999). Threads in time: Historical connection to school mathematics (Technical No. 45). Mumbai, India: Homi Bhabha Centre for Science Education. 

  • Bhatt, K. M., & Subramaniam, K. (1997). Geometry through collage: Boosting performance in school geometry. Mumbai, India: Homi Bhabha Centre for Science Education.

  • Subramaniam, K., & Bhatt, K. M. (1997). Activities for school mathematics laboratory (Technical No. 37). Mumbai, India: Homi Bhabha Centre for Science Education.

  • Subramaniam, K., Pradhan, H. C., & Sule, R. (1996). Evaluation of Gammat Jatra (educational fun fair). Mumbai, India: M-east and M-west wards.

 

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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