Abedi, M.R. (2004). Creativity. Tehran: Jami publication. Alamian, V. (2011). Guide to first-grade math reprogram. first-grade Mathematics. Retrieved april 3, 2012, from http://saheleriyaziyat.com California Department of Education. (2010). K-12 California’s Common Core Content Standards for Mathematics. Curriculum & Instruction. Retrieved July 7, 2012 from http://www.cde.ca.gov. Carpenter, T. P., & Moser, J. M. (1984). The acquisition of addition and subtraction concepts in grades one through three. Journal for Research in Mathematics Education, 15, 179–202. Davoodi, KH., Rastgar, A., & Alamian, V. (2011). Grade 1 Math- 2,volume1 .Iran: General Department printing and distribution of textbooks. Erdoĝan, E. Ö. (2010). A comparison of curricula related to the teaching of addition and subtraction concepts. Procedia social and behavioral sciences, 2(2011), 5247-5250. doi:10.1016/j.sbspro .2010.03.854 Fan, L., & Zhu, Y. (2007). Representation of problem-solving procedures: A Comparative Look at China, Singapore, and US mathematics textbooks. Educ Stud Math, 66, 61-75. doi: 10.1007/s10649-006-9069-6 Fujii, T., & Iitaka, S. (2012). Mathematics International Grade1. Tokyo: Tokyo shoseki. Gooya, Z. (2006). The process of change the content of the school mathematics curriculum. Roshd Mathematics Education Journal, 12(46), 8-12. Teaching-Aids Publications Office, Organization of Research& Educational Planning, Ministry of Education [Persian]. International Association for the Evaluation of Educational Achievement (IEA) (2011). TIMSS & PIRLS. Retrieved july 7, 2012, from http://timss.bc.edu Izadi, M. (2012). A Comparative Content Analysis of the First-Grade Math Curriculum Goals and Content of the Bookʼ Iran, Japan and America (State of California) (Unpublished masterʼs thesis). Islamic Azad University Fars Science and Research Branch, Shiraz, Iran. Karimi, A. (2009). The main findings of the TIMSS and PIRLS studies Persian date Farvardin 1388 .Tehran: Research Institute for Education. Kiamanesh, A. (2005). The Role of Students’ Characteristics and Family Background in Iranian Students’ Mathematics Achievement. Prospects, 35(2), 161-174. Maleki, JH. (2012). Describe the processes of learning numbers by students with focusing on new book 0f first grade math (Unpublished masterʼs thesis). Shahid Beheshti University, Tehran, Iran. Nazari, k. (2011). Checking impact of visualization activities- centered on nurturing spatial abilities and understanding the concept of limit of third year of secondary of the female students (Unpublished masterʼs thesis). Shahid Rajaee University, Tehran, Iran. Peters, G., De Smedt, B., Torbeyns, J., Ghesquière, P., & Verschaffel, L. (2012). Children’s use of subtraction by addition on large single-digit subtractions. Educ Stud Math, 79(3), 335-349. doi: 10.1007/s10649-011-9308-3 Rafia poor gatabi, A. (2010). Designing framework for creating balance in Secondary mathematics curriculum of Iran (Unpublished doctoral dissertation). Shahid Beheshti University, Tehran, Iran. Reyhani, E., Ahmadi, GH., & Karami Zarandi, Z. (2011). Comparative study of the problem solving process taught in high school mathematics curriculum America, Australia, Japan, Singapore and Iran. Quarterly Journal of Education, 27(1), 115-142 [Persian]. Rostami, M.H., Karimpoor, R., & Lellahi, K. (2010). Grade 1 Math- 2 .Iran: General Department printing and distribution of textbooks. Salimi, M., Sadi Pour, E., Delavar, A., & Maleki, H. (2014). Comparison of training effects in imagery strategies of mental imagery of think-aloud of written representation and motor representation on the performance of elementary students in solving verbal math problems. Research in Curriculum Planning, 11(14), 12-22 [Persian]. Scribner, S. (1984). ‘Studying working intelligence’, in B. Rogoff and J. Lave (Eds.), Everyday Cognition: Its Development in Social Context (pp. 9–40). Harvard University Press, Cambridge, MA. Selter, C. (2001). Addition and Subtraction of Three-Digit Numbers: German Elementary Children’s Success, Methods and Strategies. Edue Stud Math, 47, 145-173. Selter, C., Prediger, S., Nührenbörger, M., & Hußmann, S. (2012). Taking away and determining the difference-a longitudinal perspective on two models of subtraction and the inverse relation to addition. Educ Stud Math, 79(3), 389-408. Takahashi, A., Watanabe, T., & Yoshida, M. (2008). English Translation of the Japanese Mathematics Curricula in the Course of Study (Grades 1-9). Globaledresources. Retrieved from http://www.globaledresources.com The McGraw-Hill. (2009). California mathematics,volume1 .USA: The McGraw-Hill companies. Torbeyns, J., De Smedt, B., Ghesquière, P., & Verschaffel, L. (2009). Solving subtractions adaptively by means of indirect addition: Influence of task, subject, and instructional factors. Mediterranean Journal for Research in Mathematics Education, 8(2), 1–30. Torbeyns, J., Verschaffel, L., & Ghesquière, P. (2005). Simple addition strategies in a first-grade class with multiple strategy instruction. Cognition and Instruction, 23, 1–21. Torner, G., Schoenfeld, A.H., & Reiss, K.M. (2007). Problem solving around the world: Summing up the state of the art. ZDM Mathematics Education. Springer: Berlin /Heidelberg. Treffers, A. (1987). Three dimensions: A model of goal and theory description in mathematics education. The Wiskobas project. Dordrecht: Reidel. Verschaffel, L., & De Corte, E. (1996). Number and arithmetic. In A. Bishop, K. Clements, C. Keitel, & C. Laborde (Eds.), International handbook of mathematics education (1st ed., pp. 99–138). Dordrecht: Kluwer. Verschaffel, L., Greer, B., & De Corte, E. (2007). Whole number concepts and operations. In F. K. Lester (Eds.), Second handbook of research on mathematics teaching and learning (pp. 557–628). Charlotte, NC: Information Age Publishing. Verzosa, D.B., & Mulligan, J. (2012). Learning to solve addition and subtraction word problems in English as an imported language. Edue Stud Math. doi: 10.1007/s10649-012-9420-z Watanabe, T. (2011). Shiki: A Critical Foundation for School Algebra in Japanese Elementary School Mathematics. In J. Cai & E. Knuth (Eds.), Early Algebraization (pp.109-124). USA, New York: Springer.
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