My main work for the last decade and a half has been research and development on improving the learning and teaching of school mathematics. I have studied, along with my colleagues, how children can be helped to make the transition from arithmetic to algebra, how they can be supported in learning fractions and multiplicative reasoning, and how out-of-school mathematical knowledge can be related to school learning. I have also worked on developing models for in-service teacher professional development. I have authored text-cum-workbooks and teacher books on mathematics for students of Class 3. I have contributed to formulating education policy through my participation in the focus group on the teaching of mathematics, the syllabus committees for NCF-2005, the curriculum and textbook committees for the state of Maharashtra (since 2011). I am a member of the National Council of Teacher Education (2013-present). I have a B.Tech in Aeronautical engineering and an M.A. and Ph.D. in philosophy. My Ph.D. dissertation was on aspects of the philosophy of history, with a focus on the Continental Philosopher Heidegger. Before joining HBCSE, I taught mechanical engineering at the college level. Publications

- (2006). Sarvaansaathi Ganit, Sikhshak Hastpustika. Homi Bhabha Centre for Science Education, Class 3.
- (2005). Maths for every child: Teachers’ book to accomapany text-cum-workbook. Homi Bhabha Centre for Science Education, Class 3.
- (2001). Maths for every child: Text-cum-workbook. Homi Bhabha Centre for Science Education, Class 3.

- (2013). Research on the learning of fractions and multiplicative reasoning: A review. In S Chunawala (Ed.), The epiSTEME- 4 reviews: Research Trends in Science, Technology and Mathematics Education. Macmillan.
- (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). Homi Bhabha Centre for Science Education.
- (2011). The arithmetic-algebra connection: A historical-pedagogical perspective. In J Cai, & E Knuth (Eds.), Early Algebraization: A Global Dialogue from Multiple Perspectives,Springer (pp. 87-107). Springer.
- (2000). Geometrical examples from real life. In A. G Bhalwankar, K Modi, & S Rawool (Eds.), Pathways in Mathematics Education: Colloquim in Mathematics, World Mathematics Year 2000. SNDT University.
- (). 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). Information Age Publishing, Inc.

- (2013). When you don’t know the solution to a problem?. At Right Angles, 2.
- (2012). Evolution of a teaching approach for beginning algebra. Educational Studies in Mathematics.
- (2010). Culture in the learning of mathematics. Learning Curve: Special Issue on Mathematics, 26-28.
- (2009). Visualisation and reasoning in explaining the phases of the moon. International Journal of Science Education, 31 (3), 395-417.
- (2005). What is mathematics education research and why is it important?. Learning Curve.
- (2003). Elementary mathematics: A teaching learning perspective. Economic and Political Weekly, Special Issue on the Review of Science: Perspective on Mathematics, 37 (35), 3694-3702.
- (2002). Working with fraction, Unit for course on teaching of primary mathematics. Indira Gandhi National Open University.

- (2013). Characterising work-context from mathematics learning perspective. In G Nagarjuna, A Jamakhandi, & E. M Sam (Eds.), epiSTEME-5: International Conference to Review Research on Science, TEchnology and Mathematics Education (pp. 173-179). Cinnamonteal publishing.
- (2013). Elementary teacher’s belief about teaching of mathematics. In G Nagarjuna, A Jamakhandi, & A. M Sam (Eds.), epiSTEME-5: International Conference to Review Research on Science, TEchnology and Mathematics Education (pp. 247-254). Cinnamonteal publishing.
- (2013). From relational reasoning to generalization through number sentence tasks. In G Nagarjuna, A Jamakhandi, & E Sam (Eds.), epiSTEME-5: International Conference to Review Research on Science, TEchnology and Mathematics Education (pp. 336-342). Cinnamonteal publishing.
- (2012). Profile of the students’ arithmetical knowledge acquired in and outside school. In Proceedings of the 12th International Congress on Mathematics Education (pp. 7386). ICME.
- (2012). One teacher’s struggle to teach equivalent fractions with meaning making. In Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education (pp. 290).
- (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). ICME.
- (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 (pp. 246).
- (2012). A network model of the mathematical concept of area. In G Nagarjuna, A Jamakhandi, & E Sam (Eds.), epiSTEME-5: International Conference to Review Research on Science, TEchnology and Mathematics Education (pp. 300-306). Cinnamonteal publishing.
- (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). ICME.
- (2012). Does participation in household based work create opprtunities for learning mathematics?. In Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education (pp. 107-112). PME.
- (2012). Measurement modes and units: The Indian context. In Proceedings of the 12th International Congress on Mathematical Education (pp. 1974-1983). ICME.
- (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). ICME.
- (2012). Towards conceptualising a teaching sequence to promote early-algebraic thinking. In Proceedings of the National Meet on Celebration of National Year of Mathematics. NCERT.
- (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 (pp. 477). PME.
- (2011). Collaborative approach for continuous in-service teacher professional development. In Abstracts of National Seminar on Current Issues in Teacher Education, CASE, Department of Education and Psychology (pp. 39-40).
- (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 (pp. 396). PME.
- (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. PME.
- (2008). Briding arithmetic and algebra: Evolution of a teaching sequence. In O Figueras (Ed.), Proceedings of the Joint Meeting of PME 32 and PME-NA XXX 29 (pp. 17 — 24). PME.
- (2008). Integrating the measure and quotient interpretation of fractions. In O Figueras (Ed.), Proceedings of the Joint Meeting of PME 32 and PME-NA XXX 29 (pp. 17 — 24). PME.
- (2008). Drawing from cognitive studies of mathematical learning for curriculum design. In Proceedings of the International Conference of Mathematics Education. ICME.
- (2008). Combining share and measure meaning of fractions to facilitate students’ reasoning. In Proceedings of the International Conference of Mathematics Education. ICME.
- (2007). Exploring student’s reasoning with algebric expressions. In Proceedings of the 30th International Conference for the Psychology of Mathematics Education. PME.
- (2007). Mathematical literacy and situated social knowledge: Understanding revolving credit. In Indian Social Science Congress.
- (2007). Reasoning processes underlying the explanation of the phases of the moon. In Proceedings of epiSTEME-2: International Conference to Review research in Science, Technology and Mathematics Education (pp. 121-125). Macmillan.
- (2007). Is school mathematics all about recipes for calculation?. In Proceedings of the Conference on Technology and Innovation in Mathematics Education.
- (2007). Extending the meaning of the fraction notation: A teaching Experiment. In Proceedings of epiSTEME-3: International Conference to Review research in Science, Technology and Mathematics Education (pp. 223-227). Macmillan.
- (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 of the Psychology of Mathematics Education. PME.
- (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 in Science, Technology and Mathematics Education (pp. 218-222). Macmillan.
- (2005). Understanding student’s reasoning while comparing expressions. In P Clarkson (Ed.), Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia. MERGA.
- (2004). Term as a bridge concept between arithmetic and algebra. In Proceedings of epiSTEME-1: International Conference to Review research in Science, Technology and Mathematics Education (pp. 76-77). Homi Bhabha Centre for Science Education.
- (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). Homi Bhabha Centre for Science Education.
- (2004). Naming practices that support reasoning about and with expressions. In Proceedings of the International Congress on Mathematics Education. ICME.
- (2004). Innovative practices in mathematics education: An overview. In Proceedings of the National Conference on Enhancing Learning in Elementary Schools. Azim Premji Foundation.
- (2004). Teaching arithmetic and algebric expressions. In M. J Hoines, & A. B Fuglestad (Eds.), Proceedings of the 28th Conference of Psychology of Mathematics Education (pp. 121-128). PME.
- (2002). The Homi Bhabha curriculum in primary mathematics: Background and overview. In Proceedings of the Science Technology and Mathematics Education for Human Development. Homi Bhabha Centre for Science Education.

- (2008). What mathematics does everyone need to learn. In Proceedings of the Core Group Workshop on Science Education in India, Peoples Council of Education. Homi Bhabha Centre for Science Education.

- (2005). Mathwiki: A Resource for Problem Solving.
- (1999). Threads in time: Historical connection to school mathematics.
- (1999). Exploring mathematics: Dissections and graphs.
- (1997). Geometry through collage: Boosting performance in school geometry.
- (1997). Activities for school mathematics laboratory.
- (1996). Evaluation of Gammat Jatra (educational fun fair).

- Tel: 91-22-25072228
- Location: Mumbai
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