Document Type : Original Article

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اسکمپ، ریچارد. (1989). "فهم رابطه ای و فهم ابزاری". ترجمه رضا حیدری قزلچـه و زهـراگویا (1381). مجله رشد آموزش ریاضی، 15-4. 
پاتریک، جرمی کیل؛ سوافورد، جین. (2005). "کمـک کنـیم کودکـان ریاضـی یـاد بگیرنـد".
ترجمه مهدی بهزاد و زهرا گویا (1387). تهران: انتشارات فاطمی. 
داوودی، خسرو. (1388). "مبانی آموزش ریاضیات دوره ابتدایی". رشـد آمـوزش ابتـدایی، 3،
34 -35
روئین، مارال؛ محمدیان، رستم؛ نژاد صادقی، نوراله. (1394). "تعمیم در ریاضیات". فرهنـگ واندیشه ریاضی، 56، 47- 37. 
ریس، رابرت؛ سایدام، مرلین؛ مـری، مونتگـومری. (2003). "کمـک  بـه  کودکـ ان در یـادگیریریاضیات". ترجمه مسعود نوروزیان (1389). تهران: انتشارات مدرسه. 
کدیور، پروین؛ فرزاد، ولیاﷲ؛ عربزاده، مهدی؛ نگهبـان سـلامی، محمـود. (1389). "فراتحلیـلمطالعات مربوط به عملکرد ریاضی دانش آموزان". فصلنامه اندازه گیری تربیتی، 1(2)، 94-75. 
کیامنش، علیرضا؛ نصیبه، پور اصغر. (1385). "نقـش خودپنـداره ریاضـی، انگیـزش یـادگیری
ریاضی، عملکرد قبلی ریاضی و جنسـیت در پیشـرفت ریاضـی". مجلـه علـوم تربیتـی وروانشناسی، 13(2)، 94- 77 
محمد اسماعیل، الهه؛ هومن، حیدر علی. (1381). "انطباق و هنجاریابی آزمون ریاضیات ایـرانکی مت". پژوهش در حیطه کودکان استثنایی ،2(4)، 323-332. 
Abbas, S., & Al-Sayed, R. (2016). A Program Based on Developmental Mathematics Approach to Develop Higher Order Mathematical Thinking Levels and Mathematics Appreciation for Primary Stage Students. Education, 136(3), 378-390.
Aunio, P., Hautamäki, J., & Van Luit, J. E. (2005). Mathematical thinking intervention programmes for preschool children with normal and low number sense. European Journal of Special Needs Education, 20(2), .641-131
Baloglu, M., & Kocak, R. (2006). A multivariate investigation of the differences in mathematics anxiety. Personality and Individual Differences, 40(7), 1325-1335.
Burton, L. (1984). Mathematical thinking: The struggle for meaning. Journal for research in mathematics education, 15(1), 35-49.
Clausen-May, T. (2005). Teaching maths to pupils with different learning styles. Sage Pub.
Dehaene, S., Spelke, E., Pinel, P., Stanescu, R., & Tsivkin, S. (1999). Sources of mathematical thinking: Behavioral and brain-imaging evidence. Science, 284(5416), 970-974.
Doerr, H. M. (2006). Examining the tasks of teaching when using students' mathematical thinking. Educational Studies in Mathematics, 62(1), 3-24.
Dreyfus, T. (2002). Advanced mathematical thinking processes. in D. Tall (ed.), Advanced Mathematical Thinking. The Netherlands: Kluwer Academic Publishers, pp. 25–41.
Dubinsky, E. (2000).Reflective abstraction in advanced mathematical thinking. In D. Tall (Ed), Advanced mathematical thinking processes. (pp 95-123). Dordrecht, The Netherland: Kluwer.
Duval, R. (1999). Representation, vision and visualization: Cognitive functions in mathematical thinking. Basic issues for learning. In F. Hitt & M. Santos (Eds.), Proceedings of the 21st North American PME Conference (3-26). Cuernavaca, Morelos, Mexico.
Fennema, E., Carpenter, T. P., Franke, M. L., Levi, L., Jacobs, V. R., & Empson, S. B. (1996). A longitudinal study of learning to use children's thinking in mathematics instruction. Journal for research in mathematics education, 27(4), 403-434.
Fennema, E., Carpenter, T. P., Jacobs, V. R., Franke, M. L., & Levi, L. W. (1998). A longitudinal study of gender differences in young children's mathematical thinking. Educational researcher, 27(5), 6-11.
Franke, M. L., Webb, N. M., Chan, A. G., Ing, M., Freund, D., & Battey, D. (2009). Teacher questioning to elicit students’ mathematical thinking in elementary school classrooms. Journal of Teacher Education, 60(4), .293-083
Hakkarainen, A., Holopainen, L., & Savolainen, H. (2013). Mathematical and reading difficulties as predictors of school achievement and transition to secondary education. Scandinavian journal of educational research, 57(5), 488-506.
Hall Jr, L. T. (1984). Estimation and Approximation--Not Synonyms. Mathematics teacher, 77(7), 516-17. Hembree, R. (1990). The nature, effects, and relief of mathematics anxiety. Journal for research in mathematics education, 21(1), 33-46.
Hines, M., & Kritsonis, W. A. (2008). An in-depth analysis of the cognitive and metacognitive dimensions of African American elementary students’ mathematical problem solving skills. Focus on Colleges, Universities, and Schools, 2(1), 1-9.
Jordan, N. C., & Hanich, L. B. (2000). Mathematical thinking in secondgrade children with different forms of LD. Journal of learning disabilities, 33(6), 567-578.
Jordan, N. C., & Levine, S. C. (2009). Socioeconomic variation, number competence, and mathematics learning difficulties in young children. Developmental Disabilities Research Reviews, 15(1), 60-68.
Judith, L., Lauren, A. Murphy, and Karen, C. Fuson. (1999). Advancing Children's Mathematical Thinking in Everyday Mathematics Classrooms. Journal for Research in Mathematics Education. 30(2)148170.
Magidson, Susan. (2005). Building bridges within mathematics ducation: Teaching, research, and instructional design. Journal of Mathematical Behavior. 24(2), 135-169.
Manfra, L., Dinehart, L. H., & Sembiante, S. F. (2014). Associations between counting ability in preschool and mathematic performance in first grade among a sample of ethnically diverse, low-income children. Journal of Research in Childhood Education, 28(1), 101-114.
McMaster, K., Rague, B., & Anderson, N. (2010, October). Integrating Mathematical Thinking, Abstract Thinking, and Computational Thinking. In 2010 IEEE Frontiers in Education Conference (FIE) (pp. S3G-1). IEEE.
Mulligan, J., Mitchelmore, M., Kemp, C., Marston, J., & Highfield, K. (2008). Encouraging mathematical thinking through pattern and structure: An intervention in the first year of schooling. Online Available at: www.researchonline.mq.edu.au/vital/access/services/Download/mq:9448/DS01
Northcote, M., & McIntosh, A. (1999). What mathematics do adults really do in everyday life?. Australian Primary Mathematics Classroom, 4(1), .91
Novello, AC. Degraw, C. & Kleinman, D. (2007). Healthy children ready to learn: An essential collaboration between health and education.Public Health Reports, 107, 3-15.
Pape, S. J., Bell, C. V., & Yetkin, I. E. (2003). Developing mathematical thinking and self-regulated learning: A teaching experiment in a seventh-grade mathematics classroom. Educational Studies in Mathematics, 53(3), 179-202.
Reyna, V. F., & Brainerd, C. J. (2007). The importance of mathematics in health and human judgment: Numeracy, risk communication, and medical decision making. Learning and Individual Differences, 17(2), 147-159.
Sak, U., & Maker, C. J. (2006). Developmental variation in children's creative mathematical thinking as a function of schooling, age, and knowledge. Creativity research journal, 18(3), 279-291.
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. Handbook of research on mathematics teaching and learning, New York: Mcmillan, 334-370.
Schorr, R. Y. (2000). Impact at the student level: a study of the effects of a teacher development intervention on students' mathematical thinking. The Journal of Mathematical Behavior, 19(2), 209-231.
Selden, A., & Selden, J. (2003). Validations of proofs considered as texts: Can undergraduates tell whether an argument proves a theorem?. Journal for research in mathematics education, 34(1) 4-36.
Sezer, R. (2008). Integration of critical thinking skills into elementary school teacher education courses in mathematics. Education, 128(3), 349-369.
Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American educational research journal, 33(2), 455-488.