K. Subramaniam

Education
Areas of Work

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, Textcumworkbook. Mumbai, India: Homi Bhabha Centre for Science Education.

Subramaniam, K. (2001). Maths for every child. Class 3  Part B, Textcumworkbook. 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

Ramanujam, R., & Subramaniam, K. (Eds.). (2012). Mathematics Education in India: Status and Outlook. Mumbai: Homi Bhabha Centre for Science Education. Go here  http://nime.hbcse.tifr.res.in/articles/INPBook.pdf

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.

Ramanujam, R., Aaloka, K., & Subramaniam, K. (Eds.). (2012). Proceedings of the National Initiative on Mathematics Education. Mumbai: Homi Bhabha Centre for Science Education. Go here http://nime.hbcse.tifr.res.in/conferences/nimenationalconference2012
In Books

Kumar, R. S., Subramaniam, K., & Naik, S. (In Press). Professional development of Inservice 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 arithmeticalgebra connection: A historicalpedagogical 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): 351367.

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 workcontext from mathematics learning perspective. In G. Nagarjuna, A. Jamakhandi, & E. M. Sam (Eds.), Proceedings of epiSTEME5: 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 epiSTEME5: 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 epiSTEME5: 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 epiSTEME5: 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 earlyalgebraic 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 PMENA 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 PMENA 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 epiSTEME2: 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 epiSTEME2: 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 epiSTEME2: 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 epiSTEME1: 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 epiSTEME1: 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 inservice 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). ICME10 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: Meast and Mwest wards.
Graduate courses taught
 Introduction to Mathematics Education Research, 2008
 Representations and Reasoning, 2008
 Pedagogy of Mathematics, 20062008, for M.A. (Education)
 Cognitive Development, 2006
 Child Development and Cognition, 2006, M.A. (Education)
 Course coordinator for the course `Pedagogy of Mathematics' for M.A. (Education)
 Imagery and Reasoning, 2005
 Visuospatial Thinking in Geometry, 2005
 Algebra Education: Research results and questions (2004)
 Cognitive Development (2003)
 Learning Algebra, Reading course (2003)
 Topics in Mathematics Education (2002)
 Polyhedra, part of the polyhedra exhibition project (2002)
Go to webpage for
"Mathematics Education in HBCSE"
 Cognitive Development
 Reading course on “Embodied Cognition”
 Introduction to Mathematics Education
 Reading Course on Representations and Reasoning (Only for second year students)
 Introduction to Mathematics Education
 Experimental Project on Imagery/Visuospatial Cognition
 Imagery and reasoning
 Visualization in geometrical and spatial reasoning
 Algebra education: Research Results and Questions
 Learning Algebra
 Cognitive Development
 Reading course on `Polyhedra'
 Topics in Mathematics Education
 Contemporary Philosophy of Science
 Introduction to History and Philosophy of Science
 Identifying learning progressions for early mathematical concepts
 Philosophy of science
 Quantitative Methods in Education Research