Abraham Arcavi
List of publications
Articles in Refereed Journals

Arcavi & M. Bruckheimer. 1981. “How Shall We Teach the Multiplication of Negative Numbers?” Mathematics in School, 3(5), 3133.

A. Arcavi, M. Bruckheimer & R. BenZvi. 1982. “Maybe a Mathematics Teacher can Profit from the Study of the History of Mathematics” For the Learning of Mathematics, 3(1), 3037.

A. Arcavi. 1985. “History of Mathematics and Mathematics Education. A Suggested Bibliography” Zentralblatt für Didaktik der Mathematik, 1, 2629.

R. Hershkowitz, A. Arcavi & T. Eisenberg. 1987. “Geometrical Adventures in Functionland” Mathematics Teacher, 80, 346352.

A. Arcavi, M. Bruckheimer & R. BenZvi. 1987. “History of Mathematics for Teachers: the Case of Irrational Numbers” For the Learning of Mathematics, 7 (2), 1823.

A. Arcavi. 1987. “Using Historical Materials in the Mathematics Classroom” Arithmetic Teacher, 35 (4), 1316.

A. Arcavi & A. H. Schoenfeld. 1988. “On the Meaning of Variable” Mathematics Teacher, 81, 420427. Reprinted in Moses, B. (Ed.), 1999, Algebraic Thinking, Grades K 12: Reading from NCTM's SchoolBased Journals and Other Publications. (In the publication the order of authors was mistakenly reversed. For the correct order, A. Arcavi and A. Schoenfeld, see "Correction", Mathematics Teacher, 81, p. 774).

A. Arcavi & N. Hadas. 1989. “Large Numbers and Calculators: A Classroom Activity” School Science and Mathematics, 1989, 89 (5), 412416.

A. Arcavi & M. Bruckheimer. 1989. “The Didactical De Morgan: A Selection of Augustus De Morgan's Thoughts on Teaching and Learning Mathematics” For the Learning of Mathematics, 9 (1), 3439.

A. Arcavi, A. Friedlander & R. Hershkowitz. 19891990. “L'algèbre avant la lettre” (In French) Petit X, 24, 6171.

A. Arcavi & R. Nachmias. 1990. “Desperately Looking for the Focus” Mathematics in School, 19(2), 1923.

R. Nachmias & A. Arcavi. 1990. “A Parallel Representation of Linear Functions Using a MicrocomputerBased Environment”. The Journal of Computers in Mathematics and Science Teaching, 9(4), 7988.

A. Arcavi & M. Bruckheimer. 1991. “Reading Bombelli's xpurgated Algebra”. College Mathematics Journal, 22(3), 212219. Reprinted in Anderson, M., Katz, V. & Wilson, R. (Eds.), 2004, Sherlock Holmes in Babylon and other Tales of Mathematical History, Mathematical Association of America, 164168.

R. Ofir & A. Arcavi. 1992. “Word Problems & Equations. An Historical Activity for the Algebra Classroom” Mathematical Gazette, 76(475), 6984.

A. Arcavi & A. H. Schoenfeld. 1992. “Mathematics Tutoring Through a Constructivist Lens: The Challenges of SenseMaking” Journal of Mathematical Behavior. 11(4), 321335.

A. H. Schoenfeld, M. Gamoran, C. Kessel, M. Leonard, R. Orbach & A. Arcavi. 1992. “Toward a Comprehensive Model of Human Tutoring in Complex Subject Matter Domains” Journal of Mathematical Behavior. 1992, 11(4), 293319.

A. Arcavi & R. Nachmias. 1993. “What is your family name, Ms. Function?  Exploring families of functions with a nonconventional representation” Journal of Computers in Mathematics and Science Teaching. 12(3/4), 315329.

A. Arcavi. 1994. “Symbol sense: informal sensemaking in formal mathematics” For the Learning of Mathematics. 14(3), 2435.

A. Arcavi. 1995. “... And in mathematics, those of us who instruct, what do we construct?” (in Spanish) Substratum, Temas Fundamentales en Psicología y Educación, II(6), 7794. Reprinted in 1999 in Números, Revista de Educación Matemática, 38, 1999, 39586.

A. Arcavi. 1995. “Teaching and learning algebra: past, present and future” Journal of Mathematical Behavior. 14 (1), 145162.

M. Bruckheimer, R. Ofir & A. Arcavi. 1995. “The case for and against casting out nines” For the Learning of Mathematics, 15(2), 2435.

M. Bruckheimer & A. Arcavi. 1995. “Farey Series and Pick's Theorem” The Mathematical Intelligencer, 17(4), 6467.

M. Bruckheimer & A. Arcavi. 1995. “A visual approach to some elementary number theory” Mathematical Gazette, 79(486), 471478.

A. Arcavi, C. Kessel, L. Meira & J. Smith. 1998. “Teaching Mathematical Problem Solving: An analysis of an Emergent Classroom Community” Research in Collegiate Mathematics Education. III, 7, 170.

M. Bruckheimer & A. Arcavi. 1999. “Of discs and cubes and magic squares: a sort of algebra” The Australian Mathematics Teacher, 55(1), 1720.

M. Bruckheimer & A. Arcavi. 2000. “Farey Rabbits” Mathematical Gazette, 84(500), 223226.

A. Arcavi & N. Hadas. 2000. “Computer mediated learning: An example of an approach” International Journal of Computers for Mathematical Learning. 5. 2545.

A. Arcavi & M. Bruckheimer, 2000. “Didactical Uses of Primary Sources from the History of Mathematics”. Themes in Education, 1(1), 4464.

J. van Dormolen & A. Arcavi. 2000. “What is a circle?” Mathematics in School, 29(5), 1519. Reprinted in the Dutch journal Euclides, 2001, 76(5), 183186.

A. Arcavi. 2000. “Problem driven research in mathematics education” Journal of Mathematical Behavior. 19(2), 141173.

M. Bruckheimer & A. Arcavi. 2001. “A Herrick among Mathematicians, or dynamic geometry as an aid to proof” International Journal of Computers for Mathematical Learning. 6(1), 113126.

R. Hershkowitz, A. Arcavi & M. Bruckheimer. 2001. “Reflections on the status and nature of visual reasoning  The case of the matches” International Journal of Mathematical Education in Science and Technology. 32(2), 255265.

D. BenZvi & A. Arcavi. 2001. “Junior High School Students’ Construction of Global Views of Data and Data Representations” Educational Studies in Mathematics. 45, 3565.

A. Arcavi. 2002. “The Everyday and the Academic in Mathematics” Everyday and Academic Mathematics in the Classroom. A Monograph edited by M. Brenner and J. Moschkovich (Eds.) Journal for Research in Mathematics Education. 1229. Reprinted in Spanish, in Números 63, 2006, 324.

A. Arcavi, 2003. “The role of visual representations in the teaching and learning of mathematics” Educational Studies in Mathematics. 52 (3), 215241.

A. Arcavi, 2004. “Solving linear equations – Why, how and when?” For the Learning of Mathematics. 24(3), 2528.

A. Arcavi, 2005. “Developing and Using Symbol Sense in Mathematics” For the Learning of Mathematics. 25(2), 5055. Reprinted in Spanish in Uno, Revista de Didáctica de las Matemáticas, 44, 2007, 5975.

A. Arcavi, & M. Isoda, 2007. “Learning to listen: from historical sources to classroom practice” Educational Studies in Mathematics, 66(2), 111129.

R. Karsenty, A. Arcavi & N. Hadas, 2007. “Exploring informal mathematical products of low achievers at the secondary school level” Journal of Mathematical Behavior, 16(2), 156177.

A. Arcavi & A. Friedlander, 2007. “Curriculum developers and problem solving  The case of Israeli elementary school projects” Zentralblat für Didaktik de Mathematik, 39(56), 355364.

A. Arcavi & Z. Resnick, 2008. “Generating problems from problems and solutions from solutions” Mathematics Teacher, 102 (1), 1014.

M. Tabach. A. Arcavi, R. Hershkowitz, 2008. “Transitions among different symbolic generalizations by algebra beginners in a computer intensive environment” Educational Studies in Mathematics, 69(1), 5371.

A. Arcavi, 2008. “Modeling with graphical representations” For the Learning of Mathematics, 28(2), 210.

M. Tabach, R. Hershkowitz & A. Arcavi, 2008. “Learning beginning algebra with spreadsheets in a computer intensive environment” Journal of Mathematical Behavior, 27(1), 4863.

A. Arcavi & A. Schoenfeld, 2008. “Using the unfamiliar to problematize the familiar: the case of mathematics teacher inservice education” Canadian Journal of Science, Mathematics and Technology Education, 8(3), 116 [This paper is an enlarged version of publication 6, listed under book chapters]

T. Mulat & A. Arcavi, 2009. “Success in mathematics within a challenged minority: the case of students of Ethiopian origin in Israel” Educational Studies in Mathematics, 72(1), 7792.

“Alan H. Schoenfeld: How We Think  A Theory of GoalOriented Decision Making and its Educational Implications” (Invited book Review). Zentralblat für Didaktik de Mathematik, 43, 10171019.

Friedlander, A & Arcavi, A., 2012 "How to Practice it: An Integrated Approach to Algebraic Skills" Mathematics Teacher 105(8), 608614.

L. Figueiras & A. Arcavi, 2014 “A touch of mathematics: coming to our senses by observing the visually impaired” Zentralblat für Didaktik de Mathematik, 46(1), 123133.

L.R. Ejersbo, U. Leron, & A. Arcavi, 2014 “Bridging intuitive and analytical thinking: four looks at the 2glass puzzle” For the Learning of Mathematics, 34(7), 27.

A. Arcavi, 2014 “Reflexiones sobre la enseñanza del álgebra” El Monitor, 34 (Junio).

A. Arcavi, 2015 “Revisiting aspects of visualization in mathematics education” La Matematica Nella Società e Nella Cultura – Rivista della Unione Matematica Italiana, Serie I, Vol. VIII (3), 143160

A. Arcavi, 2016 “Miradas Matemáticas y Pensamiento Numérico” Avances de Investigación en Educación Matemática (AIEM), 9, 1119.

A. Arcavi, 2016 “Promoviendo conversaciones entre docentes acerca de clases filmadas de matemáticas” Cuadernos de Investigación y Formación en Educación Matemática, 11(15), 385 396.

Karsenty, R. & A. Arcavi, 2017 “Mathematics, lenses and videotapes: A framework and a language for developing reflective practices of teaching” Journal of Mathematics Teacher Education, 20(5), 433455.

J. Cooper, & A. Arcavi, 2018 “Mathematicians and primary school teachers learning from each other” Newsletter of the European Mathematical Society, 107 (March), 4651.
Articles under Revision in Refereed Journals

G. Schwarts, B. Pöhler, A. ElbaumCohen, R. Karsenty, A. Arcavi, & S. Prediger. “Novice facilitators’ changes in practices: From launching
to managing discussions about mathematics teaching” Journal of Mathematical Behavior. 
G. Schwarts, A. Coles, & A. Arcavi. “Leading teacher discussions during Professional Development: Challenges and opportunities” For the Learning of Mathematics.

R. Karsenty, B. Pöhler, G. Schwarts, S. Prediger & A. Arcavi. “Processes of decisionmaking by mathematics PD facilitators: The role of resources, orientations, goals and identities” Journal of Mathematics Teacher Education.
Book Chapters (Peer Reviewed)

A. H. Schoenfeld, J. Smith & A. Arcavi. 1993. “Learning: The Microgenetic Analysis of One Student's Evolving Understanding of a Complex Subject Matter Domain”. In R. Glaser (Ed.) Advances in Instructional Psychology, Vol. 4. . Erlbaum, NJ. 1993, 55175.

J. Moschkovich, A.H. Schoenfeld & A. Arcavi. 1993. “Aspects of Understanding: On Multiple Perspectives and Representations of Linear Relations, and Connections Among Them” In T. A. Romberg, E. Fennema & T. P. Carpenter (Eds.) Integrating Research on the Graphical Representation of Function. , Erlbaum, NJ. 69100. (The order of authorship was determined by a random choice procedure.)

M. Bruckheimer & A. Arcavi. 2000. “Mathematics and its History  an Educational Partnership” In V. Katz, (Ed.) Using History to Teach Mathematics: An International Perspective. Mathematical Association of America, 135146.

C. Tzanakis & A. Arcavi. 2000. “Integrating history of mathematics in the classroom” In J. Fauvel & J. van Maanen (Eds.) History in Mathematics Education. The ICMI Study. Dordrecht, Kluwer, 201240.

H. N. Jahnke with A. Arcavi, E. Barbin, O. Bekken, C. N. Dynnikov, F. Furinghetti, A. El Idrissi & C. Weeks. 2000. “The use of original sources in the mathematics classrooms” In History in Mathematics Education. The ICMI Study. J. Fauvel & J. van Maanen (Eds.) Dordrecht, Kluwer, 291316.

A. Arcavi & A.H. Schoenfeld, 2006. “Using the unfamiliar to problematize the familiar” (In Portuguese) In M. Borba (Ed.) Tendencias Internacionais em Formaçâo de Professores de Matemática (International Perspectives in Mathematics Teacher Education), pp. 87111.

A. Arcavi, 2007. “Exploring the Unfolding of a Cylinder”, “New Ways of Calculation”, and “I Understand What You Want to Say” Three Commentaries on study lessons. In M. Isoda, M. Stephens, Y. Ohara & T. Miyakawa (Eds.) Japanese Lesson Study in Mathematics: Its Impact, Diversity and Potential for Educational Improvement, World Scientific Publishing, 236247.

M. Tabach, R. Hershkowitz, A. Arcavi & Dreyfus, 2008. “Computerized environments in mathematics classrooms: A researchdesign view”. In L. D. English, M. B. Bussi, G. A. Jones, R. A. Lesh, B. Sriraman, & D. Tirosh (Eds.), Handbook of International Research in Mathematics Education, Second Edition (pp. 784805). NY, USA: Routledge.

A. Arcavi, 2008. “Algebra: Purpose and Empowerment”. In the Seventieth NCTM Yearbook (2008): Algebra and Algebraic Thinking in School Mathematics.

A. Arcavi, 2009. “The languages of mathematics”. In Episteme Reviews  Volume 3 Macmillan Publishers India Ltd., New Delhi: India.

A. Arcavi, 2010. "Indicators in science and technology education" In M. Justman, M. & G. Bukobza (Eds.) Guidelines for Revising the System of Education Indicators in Israel, The Israeli Academy of Sciences.

Cooper, J., & Arcavi, A., 2013. "Mathematicians and elementary school mathematics teachers  meetings and bridges". In Y. Li, & J. N. Moschkovich (Eds.), Proficiency and beliefs in learning and teaching mathematics  Learning from Alan Schoenfeld and Günter Törner, Rotterdam: Sense Publishers, 179200.

A. Arcavi, 2013. “Reflexiones sobre el álgebra escolar y su enseñanza”. In Rico, L. Cañadas, M. C., Gutiérrez, J., Molina, M. & Segovia, I. (Eds.) Investigación en Didáctica de la Matemática. Homenaje a Encarnación Castro. Editorial Comares, Granada. 2013, 1322.

A. Arcavi, 2014. “Reflecting on the adequacy/inadequacy of the mathematical literacy metaphor” In Fried, M.N. & Dreyfus, T. (Eds.) Mathematics and Mathematics Education: Searching for Common Ground. Springer, 1602.

A. Arcavi & R. Karsenty, 2016. “Coming of age – A time to ponder” In Phakeng, M. & Lerman, S. (Editors), Mathematics Education in a Context of Inequity, Poverty and Language Diversity: Giving Direction and Advancing the Field. Sprimger, pp. 3342.

A. Arcavi, 2016. “Towards a dialogue between traditions and approaches in mathematics education” In Hodgson, B.R., Lagrange, J.B. & Kuzniak, A. (Eds.) The Didactics of Mathematics. Aproaches and Isuues. A Homage to Michèle Artigue. Springer, 1620.

A. Arcavi & R. Karsenty, 2018. “Enhancing mathematics teachers’ knowledge and reflection through peerdiscussions of videotaped lessons: A pioneer program in Israel” In MovshovitzHadar, N. (Ed.) K12 Mathematics Education in Israel: Issues and Innovations. World Scientific Press, 303310.

M. Fried, H. Perl & A. Arcavi, 2018. “Highlights in the Development of Education and Mathematics Education in the State of Israel: A Timeline” In MovshovitzHadar, N. (Ed.) K12 Mathematics Education in Israel: Issues and Innovations. World Scientific Press, 319.

A. Arcavi, 2019. “Learning to look at the world through mathematical spectacles – A personal tribute to Realistic Mathematics Education” In van HeuvelPanhuizen, M. (Ed.) Reflections from abroad on the Netherlands Didactic Tradition in Mathematics Education. Springer, 8395.

A. Arcavi, 2020. “From tools to resources in the professional development of mathematics teachers: General perspectives and crosscutting issues” In O. Chapman (Editor in Chief) and S. Llinares (Editor of Vol. 2) The International Handbook of Mathematics Teacher Education: Volume 2 – Tools and Processes in Mathematics Teacher Education (2^{nd} edition). Sense Publishers, 421437.

A. Arcavi, In Press. Evolving Approaches to the Professional Development of Teachers. In A. Hofstein, A. Arcavi, B. Eylon & A. Yarden (Eds.) Research & Development in Science Education: What Have We Learned? Routledge.
Books

A. Friedlander & A. Arcavi, 2017. Tasks and Competencies in the Teaching and Learning of Algebra. National Council of Teachers of Mathematics (NCTM), USA.

A. Arcavi, P. Drijvers and K. Stacey, 2017. The Learning and Teaching of Algebra. Ideas, Insights and Activities. Routledge.
Edited Books and Special Issues

M. Isoda, A. Arcavi & A. Mena (editors), 2007. El estudio de Clases Japonés (Japanese Lesson Study – In Spanish) Universidad Católica de Valparaiso, Chile.

Rivera, F., Steinbring, H. & Arcavi A. (Guest Editors), 2014. Visualization as an Epistemological Learning Tool, Zentralblat für Didaktik de Mathematik, 46(1).

Arcavi, A. & Mandel Levy, N. (Editors), 2014. Education for All and for Each and Every One in the Israeli Education System. The Initiative for Applied Educational Research, The Israel Academy of Science and Humanities.
Chapters in Refereed Conference Proceedings

J. Smith, A. Arcavi & A. H. Schoenfeld, 1989. “Learning yintercept: assembling the pieces of an atomic concept” Proceedings of the 13th International Conference on the Psychology of Mathematics (PME 13), Paris, Vol. 3, 174181.

A. Friedlander, R. Hershkowitz & A. Arcavi, 1989. “Incipient algebraic thinking in prealgebra students” Proceedings of the 13th International Conference on the Psychology of Mathematics (PME 13), Paris, Vol. 1, 283290.

A. Arcavi & R. Nachmias, 1989. “Reexploring familiar concepts with a new representation” Proceedings of the 13th International Conference on the Psychology of Mathematics Education (PME 13), Paris, V.1, 7784.

R. Hershkowitz & A. Arcavi, 1990. “The interplay between student behaviors and the mathematical structure of problem situations  issues and examples” Proceedings of the 14th International Conference on the Psychology of Mathematics (PME 14), Mexico, Vol. II, 193200.

A. Arcavi, N. Hadas & T. Dreyfus, 1994. “Engineering Curriculum Tasks on the Basis of Theoretical and Empirical Findings” Proceedings of the 18th International Conference on the Psychology of Mathematics (PME 18), Lisbon, Vol. II, 280287.

D. BenZvi & A. Arcavi. 1998, “Towards a characterization and understanding of students’ learning in an interactive statistics environment.” Proceedings of the Fifth International Conference on Teaching of Statistics, Vol. II, L. PereiraMendoza (Ed.) 647653.

A. Arcavi, 1999. “The role of visual representations in the teaching and learning of mathematics” Proceedings of the 21st Annual Meeting of PMENA. Hitt, F. & Santos, M. (Eds.) 5580

N. Hadas & A. Arcavi, 2001. “Relearning mathematics  the case of dynamical geometrical phenomena and their unexpected Cartesian representations” Proceedings of the 25th International Conference on the Psychology of Mathematics (PME 25), Utrecht, The Netherlands, Vol. III, 8189.

A. Arcavi, 2002. “Developing and using symbol sense in mathematics” In J. Abramsky (Ed.), Reasoning, explanation and proof in school mathematics and their place in the intended curriculum Proceedings of the International Seminar. Qualifications and Curriculum Authority London, England, 2939.

A. Arcavi, 2004. “Education of Mathematics Teachers” In Strässer, R., Brandell, G., Grevholm, B. & Helenius, O. (Eds.) Educating for the Future. Proceedings of an International Symposium on Mathematics Teacher Education. The Royal Swedish Academy of Sciences, 2004, 227234.

A. Friedlander & A. Arcavi, 2005. “Folding perimeters: Designer concerns and student solutions” (Part of the Research Forum “The significance of task design in mathematics education: Examples from proportional reasoning”) Proceedings of the 29th International Conference on the Psychology of Mathematics (PME 29), Melbourne, Australia, Vol. I,108114.

A. Arcavi, 2006. “An integrated vision of mathematical competencies” (In Spanish – Invited Plenary). Memorias de la Conferencia sobre Competencias Matemáticas, Ministerio de Educación, Bogotá, Colombia (CD Rom).

A. Arcavi, M. Artigue, C. Knipping, W. Khoon Yoong, M. Trigueros, W. Uegaki, M. Isoda & S. Lerman, 2007. “Mathematics Education in Senior Secondary Schools (Working Group for Action 3)” In Proceedings of the Ninth International Congress on Mathematical Education, (Part 4), H. Fujita, Y. Hashimoto, B. R. Hodgson, P. Yee Lee, S. Lerman & T. Sawada (Eds.) 2000 Makuhari, Japan, 232237.

T. Mulat & A. Arcavi, 2009. “Mathematical behaviors of successful students from a challenged ethnic minority” Prooceedings of the CERME 6  Sixth Conference of European Research in Mathematics Education, Lyon, France.

T. Mulat & A. Arcavi, 2009. “Mathematics Success among Students of Ethiopian Origin in Israel (SEO): a Case Study” Proceedings of the 33th International Conference on the Psychology of Mathematics (PME 33), Thessaloniki, Greece.

R. Hershkowitz & A. Arcavi, 2009. “Are second graders able to explain their mathematical ideas?” Proceedings of the 33th International Conference on the Psychology of Mathematics (PME 33), Thessaloniki, Greece.

G. Schwarts, A. Arcavi, & R. Karsenty, 2021. Novice facilitators’ participation practices in discussions about issues of mathematics teaching. To appear in the Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education.
Reports

M. Jay & A. Arcavi, 1991. “Educational software design analysis with special emphasis on mathematics” The Foundation for Educational Software, S. Francisco, USA, 85 pages.

A. Arcavi & N. Hadas. 1994. “Mathematics at the level of 23 units. A proposal for a new curriculum  Approach and Rationale” (In Hebrew) Submitted to the Chief Scientist of the Ministry of Education, Israel, 23 pages.

N. Hadas & A. Arcavi, 1996. “Summary of results from an experimental program with new learning materials” (In Hebrew) Submitted to the Chief Scientist of the Ministry of Education, Israel, 25 pages.

A. Arcavi, 1999. “Nonmathematically oriented students  a Research Report” (In Hebrew) Submitted to the Curriculum planning Department of the Ministry of Education, Israel, 47 pages.

R. Karsenty & A. Arcavi, 2003. “Learning characteristics of ‘low achieving’ students in mathematics – Final report of activities for the years 20002002” (In Hebrew) Submitted to the Curriculum planning Department of the Ministry of Education, Israel, 121 pages.

A. Arcavi, 2005. “Report of activities (research and development)”, submitted to the Center for Research on International Cooperation In Educational Development (CRICED), University of Tsukuba, Japan, 151 pages.

A. Arcavi, A. Friedlander, B. Fresko, M. Carmeli, Rina Hershkowitz, Zvia Markovits, 2006. “Evaluation of Six Mathematics Curriculum Projects for First and Second Grade” Submitted to the Chief Scientist of the Ministry of Education, Israel, 110 pages.
The following reports were written under my supervision:

R. Bouhadana & R. Karsenty. “Selected problem solutions by low achieving students of mathematics who learned according to the 3U program” Internal report (In Hebrew), 22 pages.

S. Magidson. “Learning on the job: Instructional design as professional development” Internal report, 20 pages.

R. Fried. “Low achieving students in juniorhigh school  A review of thinking processes and teaching methods” Internal report (In Hebrew) (as a duty of the program for teachers on sabbatical leave), 37 pages.

R. Reiz. “Integration of innovative tasks in the mathematics curriculum” Internal report (In Hebrew).
Other papers and abstracts

R. Nachmias & A. Arcavi, 1989. “Multiple representations of linear functions: A case study” Proceedings of the 2nd International Jerusalem Convention on Education: Interaction Between Research and Practice, 36975.

A. Arcavi, D. Tirosh & R. Nachmias, 1989. “Effects of exploring a new representation on prospective mathematics teachers' conceptions of function” Proceedings of the 2nd International Jerusalem Convention on Education: Interaction Between Research and Practice, 269277.

A. Arcavi, 1990. “The teaching and learning of algebra in the secondary school” Boletim Gepem (Publicação do Gepem  Grupo de Estudos e Pesquisas em Educação Matemática). Ano XV (26), 1223.

A. Arcavi, 1991. “Two Benefits of Using History” Paper at the Conference “History in Mathematics Education”, Leicester, England. For the Learning of Mathematics. 11(2), 11.

A. Arcavi, 1995. “El Sentido de los Símbolos: Generación de Intuiciones en la Matemática formal” (In Spanish). Actas de las VII Jornadas para el Aprendizaje y la Enseñanza de las Matemáticas (7as JAEM) , Madrid, 7783.

A. Arcavi, 1996, “A partial, simplified, and biased story about expectations”. For the Learning of Mathematics, 16(3), 2728.

R. Hershkowitz and A. Arcavi, 2000. “Some brief and informal speculations on linguistic and cultural aspects related to proof”. http://www.lettredelapreuve.it/EthnoPreuve/Israel.html

A. Arcavi & A. Flores, 2000. College Mathematics Journal, 31(5), 392.

A. Arcavi, 2005. “Open letter mathematics teachers at the Elementary School of the University of Tsukuba” (In Japanese). Journal of Mathematics Lesson Study at Elementary School, 42, 30 31.

A. Arcavi, 2006. “Solving problems and their solutions” (Abstract). In F. Furinghetti, S. Kaijser and C. Tzanakis (Eds). Proceedings of the History and Pedagogy of Mathematics Meeting (HPM2004) & the Fourth European Summer University on the History and Epistemology in Mathematics Education.
Articles in Hebrew

A. Arcavi. 1980. “The Meeting of Three Ships  A Mathematical Problem” Shevavim, Journal for Mathematics Teachers (in Israel), Vol. 15.

A. Arcavi. 1982. “How Shall We Teach the Multiplication of Negative Numbers?” Shevavim, Journal for Mathematics Teachers (in Israel), Vol. 20.

R. Hershkowitz & A. Arcavi. 1985. “Geometrical Adventures with the Function Concept” Shevavim, Journal for Mathematics Teachers (in Israel), Vol. 24.

N. Hadas & A. Arcavi. 1985. “The Importance of Thoughtful Use of Calculators” Shevavim, Journal for Mathematics Teachers (in Israel), Vol. 25.

A. Arcavi. 198587 “Once Upon a time” (A sequence of episodes from the history of mathematics) E'arot VeE'arot, Newsletter for Israeli Mathematics Teachers.

R. Nachmias & A. Arcavi. 1989. “A MicrocomputerBased Environment for the Parallel Axes Representations of Functions” MesarimMisparim, Journal for Mathematics Teachers, 2(3), 717.

A. Arcavi, A. Friedlander & R. Hershkowitz. 1990. “The Algebra Before Algebra” MesarimMisparim, Journal for Mathematics Teachers 3(3), 4862.

A. Arcavi & R. Nachmias. 1990. “Looking for the Focus” Aleh, Journal for Mathematics Teachers, 7, 4956.

M. Bruckheimer & A. Arcavi. 1996. “A visual approach to basic topics in number theory” Aleh, Journal for Mathematics Teachers, 19, 1114.

R. Hershkowitz & A. Arcavi. 1997 “Take it with a grain of salt” (Some comments on the international comparison studies). Aleh, Journal for Mathematics Teachers, 21, 41.

A. Arcavi. 2000. “A conversation with Professor Fischbein (on intuitions in science and mathematics)” Aleh, Journal for Mathematics Teachers, 26, 1316.
 Alex Friedlander & A. Arcavi. 2001. “Why my daughter has to solve
and thousands of exercises like it?” Aleh, Journal for Mathematics Teachers, 27, 4748.
Learning Materials
2012ongoing Design of a website with 70 videotaped (entire) mathematics lessons, watching guides and activities for teacher development workshops around the lessons (www.adasha.weizmann.ac.il).
2015 Design of a Question Bank with 150 tasks for the end of grade 9.
2009 Design of 250 questions for the Question Bank of the Ministry of Education, aimed at the lowest level of the matriculation exam.
2006 Coeditor (with Dr. Nurit Zehavi) of the CDROM “Mathematical Enrichment – A collection of (original) mathematical articles which emphasize the historical developments and the people who shaped them”.
20042006 Head of an experimental geometry program to introduce 7th grade students to deductive geometry through the book “Starting with Geometry” and its teacher’s guide.
20042005 Head of the project, which produced the book “Geometry for High Schools (for student studying towards the 4 and 5 units of the matriculation examination)”.
1992 Present Head of the '3U' project for nonmathematically oriented students, grades 1012: 14 books, their corresponding teacher guides, and resource files for teacher leaders who conduct inservice activities with this program. In 2005, the materials were reedited in three volumes.
19972001 Head of the 'Realistic Geometry' project for nonmathematically oriented students (grades 89). This project produced two books: “Seeing and Doing Geometry” (parts I and II), and a teacher’s guide.
1999 “On Geometrical Change and Graphs” (Exploring geometrical phenomena by means of functions and their graphs). A book for students and for inservice teacher courses.
1998 “The linear function in a parallel representation” A chapter in Functions – a resource file for teacher leaders. R. Even, O. Gotlib & N. Hirshfeld (Eds.).
1990 “Probability” (an intuitive approach for eighth grades). A learning unit and its accompanying teacher's guide (in Hebrew). Coauthored with N. Hadas.
1988 PAR  A microworld for exploration of the Parallel Axes Representation of functions. R. Nachmias & A. Arcavi.
1984 “The Irrational Numbers  a historical sourcework collection for pre and inservice mathematics teachers courses” A. Arcavi & M. Bruckheimer (Also available in English). “Linear and Quadratic Equations  a historical sourcework collection for pre and inservice mathematics teachers courses” A. Arcavi & M. Bruckheimer (Also available in English).
1983 “The Negative Numbers  a historical sourcework collection for preand inservice mathematics teachers courses” A. Arcavi & M. Bruckheimer.