
PUBLICATIONS
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Journal Articles and Book Chapters
 Harel, G. (2014). Common Core State Standards for Geometry: An Alternative Approach. Notices of the AMS, 61 (1), 2435. Download
 Harel, G. (2013). Intellectual Need. In Vital Direction for Mathematics Education
Research, Leatham, K. Ed., Springer. Download
 Harel, G. (2013). DNRbased curricula: The case of complex numbers. Journal of Humanistic Mathematics, 3 (2), 261. Download
 Watson, A., & Harel, G. (2013). The role of teachers’ knowledge of functions in their teaching: A conceptual approach with illustrations from two Cases. Canadian Journal of Science, Mathematics, and Technology Education, 13(2), 154–168. Download
 Harel, G. (2013). Classroombased interventions in mathematics education: Relevance, significance, and applicability. ZDM Mathematics Education (2013) 45, 483–489. Download
 Harel, G., Fuller, E. (2013). Reid, D.A. and Knipping, C.: Proof in mathematics education: Research, learning, and teaching. ZDM Mathematics Education (2013) 45,497–499. Download
 Harel, G., & Wilson, S. (2011). The state of high school textbooks. Notices of the AMS, 58, 823826. Download1 Download2
 Harel, G., & Koichu, B. (2010). An operational definition of learning. Journal of Mathematical Behavior. 29, 3, 115124. Download
 Harel, G. (2012). Dueductive reasoning in mathematics education. Encyclopedia of Mathematics Education, Springer. Download
 Harel, G., Fuller, E., & Rabin, J. (2008). Attention to meaning. Journal of Mathematical Behavior, 27, 116127. Download
 Harel, G. (2008). DNR Perspective on Mathematics Curriculum and Instruction, Part II. Zentralblatt fuer Didaktik der Mathematik.Download
 Harel, G. (2008). DNR Perspective on Mathematics Curriculum and Instruction: Focus on Proving, Part I. Zentralblatt fuer Didaktik der Mathematik, 40, 487500. Download
 Harel, G. (2008). What is mathematics? A pedagogical answer to a philosophical question. In B. Gold & R. Simons (Eds.), Proof and other dilemmas: Mathematics and philosophy (pp. 265–290). Washington, DC: Mathematical Association of America. Download
 Koichu, B. & Harel, G. (2007). Triadic interaction in clinical taskbased interviews with mathematics teachers. Educational Studies in Mathematics, 65(3), 349365. Download
 Harel, G., & Sowder, L (2007). Toward a comprehensive perspective on proof, In F. Lester (Ed.), Second Handbook of Research on Mathematics Teaching and Learning, National Council of Teachers of Mathematics. Download
 Harel, G. (2007). The DNR System as a Conceptual Framework for Curriculum Development and Instruction, In R. Lesh, J. Kaput, E. Hamilton (Eds.), Foundations for the Future in Mathematics Education, Erlbaum. Download
 Harel, G. (2006). Mathematics Education Research, Its Nature, and Its Purpose: A Discussion of Lester's Paper, Zentralblatt fuer Didaktik der Mathematik, 38, 5862. Download
 Harel, G., & Sowder, L. (2005). Advanced MathematicalThinking at Any Age: Its Nature and Its Development, Mathematical Thinking and Learning, 7, 2750. Download
 Lesh, R., & Harel, G. (2003). Problem solving, modeling, and local conceptual development. International Journal of Mathematics Thinking and Learning, 5, 157189. Download
 Sowder, L., & Harel, G., (2003). Case Studies of Mathematics Majors' Proof Understanding, Production, and Appreciation. Canadian Journal of Science, Mathematics and Technology Education. 3, 251267. Download
 Harel, G. (2001). The Development of Mathematical Induction as a Proof Scheme: A Model for DNRBased Instruction. In S. Campbell & R. Zaskis (Eds.). Learning and Teaching Number Theory. In C. Maher (Ed.). Journal of Mathematical Behavior. New Jersey, Ablex Publishing Corporation, 185212. Download
 Harel, G. (1999). Students' understanding of proofs: a historical analysis and implications for the teaching of geometry and linear algebra, Linear Algebra and Its Applications , 302303, 601613. Download
 Harel, G., & Sowder, L. (1998). Students' proof schemes. Research on Collegiate Mathematics Education, Vol. III. In E. Dubinsky, A. Schoenfeld, & J. Kaput (Eds.), AMS, 234283. Download
 Harel, G. (1998). Two Dual Assertions: The First on Learning and the Second on Teaching (Or Vice Versa). The American Mathematical Monthly, 105, 497507. Download
 Greer, B., & Harel, G. (1998). The role of analogy in the learning of mathematics, Journal of Mathematical Behavior, 17, 524. Download
 Harel, G. (1997). The linear algebra curriculum study group recommendations: Moving beyond concept definition. In Carlson D., Johnson, C, Lay, D., Porter, D., Watkins, A, \& Watkins, W. (Eds.). Resources for Teaching Linear Algebra,. MAA Notes, Vol. 42, 107126. Download
 Behr, M., Khoury, H., Harel, G., Post, T., & Lesh, R. (1997). Conceptual units analysis of preservice elementary school teachers' strategies on a rationalnumberasoperator task, Journal for Research in Mathematics Education, 28, 4869. Download
 Harel, G. (1995). From naive interpretist to operation conserver. In J. Sowder & B. Schappelle (Eds.). Providing a Foundation for Teaching Mathematics in the Middle, New York : SUNY Press, 143165. Download
 Harel, G., Behr, M., Post, T., & Lesh, R. (1994). The impact of the number type on the solution of multiplication and division problems: Further considerations. In G. Harel and J. Confrey (Ed). The Development of Multiplicative Reasoning in the Learning of Mathematics. Albany , New York : SUNY Press, 363384. Download
 Harel, G., Behr, M., Lesh, R., & Post, T. (1994). Invariance of ratio: The case of children's anticipatory scheme of constancy of taste, Journal for Research in Mathematics Education, 25, 324345. Download
 Harel, G., & Behr, M. (1992). The blocks task on proportionality: Expert solution models, Journal of Structural Learning, 11, 173188. Download
 Dubinsky, E., & Harel, G. (1992). The process conception of function. In G. Harel & E. Dubinsky. The Concept of Function: Aspects of epistemology and pedagogy, MAA Notes, No. 28, 85106 Download
 Post, T., Harel, G., Behr, M. & Lesh, R. (1991). Intermediate teachers' knowledge of rational number concepts. In E. Fennema , T. P. Carpenter, and S. J. Lamon (Eds.) Integrating Research on Teaching and Learning Mathematics. Albany , New York : SUNY Press, 177198. Download
 Harel, G., & Kaput, J. (1991). The role of conceptual entities in building advanced mathematical concepts and their symbols. In D. Tall (Ed), Advanced Mathematical Thinking. Kluwer Academic Publishers, 8294. Download
 Harel, G., & Behr, M. (1991). Ed's Strategy for solving division problems, Arithmetic Teacher, 39, 3840. Download
 Harel, G., & Tall, D. (1991). The general, the abstract, and the generic, For the Learning of Mathematics, 11, 3842. Download
 Harel, G. (1989). Applying the principle of multiple embodiments in teaching linear algebra: Aspects of familiarity and mode of representation, School Science and Mathematics, 89, 4957. Download
 Martin, G., & Harel, G. (1989). Proof frame of preservice elementary teachers, Journal for Research in Mathematics Education, 20, 4151. Download
 Harel, G. (1987). Variations in linear algebra content presentation, For the Learning of Mathematics, 7, 2932. Download
