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• Aktaş-Arnas, Y., & Aslan, D. (2005). Okul öncesi dönemde geometri. Eğitim Bilim Toplum Dergisi, 3 (9), 36-46.
• Aktaş-Arnas, Y., & Aslan, D. (2007) Okul öncesi eğitim materyallerinde geometrik şekillerin sunuluşuna ilişkin içerik analizi, Ç.Ü. Sosyal Bilimler Enstitüsü Dergisi, 16 (1), 69-80.
• Aktaş-Arnas, Y., & Aslan, D. (2010). Children's classification of geometrıc shapes. Ç.Ü. Sosyal Bilimler Enstitüsü Dergisi, 19 (1), 254-270.
• Aslan, D., & Arnas, Y. A. (2007). Three- to six-year-old children’s recognition of geometric shapes. International Journal of Early Years Education, 15(1), 83–104. https://doi.org/10.1080/09669760601106646
• Baroody, A. J. (2017). The use of concrete experiences in early childhood mathematics instruction. Advances in Child Development and Behavior, 53, 43-94. https://doi.org/10.1016/bs.acdb.2017.03.001
• Barth, H., Mont, K. L., Lipton, J., & Spelke, E. S. (2005). Abstract number and arithmetic in preschool children. Proceedings of the National Academy of Sciences, 102(39), 14116–14121. https://doi.org/10.1073/pnas.0505512102
• Boswell, D. A., & Green, H. F. (1982). The abstraction and recognition of prototypes by children and adults. Child Development, 53(4), 1028–1037. https://doi.org/10.2307/1129144
• Braham, E. J., & Libertus, M. E. (2017). Intergenerational associations in numerical approximation and mathematical abilities. Developmental Science, 20(5), 1-12.
• Bruce, C., & Hawes, Z. (2015). The role of 2D and 3D mental rotation in mathematics for young children: What is it? Why does it matter? And what can we do about it? ZDM, 47(3), 331–343. https://doi.org/10.1007/s11858-014-0637-4
• Bruce, T. (2012). Early Childhood Practice Froebel Today, London: Sage Publications.
• Bruner, J. (1964). The course of cognitive growth. American Psychologist, 19, 1- 15.
• Bruner, J. (1966). Towards a theory of instruction. Cambridge, Massachusetts: Harvard University Press.
• Bulow, B. M. (2007). How Kindergarten Came to America: Friedrich Froebel’s Radical Vision of Early Childhood Education, Classics in Progressive Education. New Press, The, 2007. Print
• Cetin, I., & Dubinsky, E. (2017). Reflective abstraction in computational thinking. Journal of Mathematical Behavior, 47, 70–80.
• Charlesworth, R. (2005). Prekindergarten mathematics: Connecting with national standards. Early Childhood Education Journal, 32 (4), 229-236. https://doi.org/10.1007/s10643-004-1423-7
• Christie, S., & Gentner, D. (2010). Where hypotheses come from: Learning new relations by structural alignment. Journal of Cognition & Development, 11(3), 356–373. https://doi-org.ezproxy.lakeheadu.ca/10.1080/15248371003700015.
• Clements, D. H., & Sarama, J. (2000). Young children’s ideas about geometric shapes, Teaching Children Mathematics, 6 (8), 482-488.
• Clements, D., and Sarama, J. (2000). The Earliest Geometry, Teaching Children Mathematics, 7(2), pp.82-86.
• Clements, D. H. (1999). 'Concrete' manipulatives, concrete ideas. Contemporary Issues in Early Childhood, 1 (1), 45-60.
• Clements, D. H. (2003). Teaching and learning geometry. A research companion to principles and standards for school mathematics, Reston, VA: NCTM.
• Clements, D. H., & Sarama J. (2011). Early childhood teacher education: The case of geometry. Journal of Mathematics Teacher Education, 14 (2) 133-148. https://doi.org/10.1007/s10857-011-9173-0
• Clements, D. H., DiBiase, A.-M., & Sarama, J. (2004). Engaging young children in mathematics: Standards for early childhood mathematics education. Studies in mathematical thinking and learning series. Mahwah, N.J: In Lawrence Erlbaum Associates (Bks).
• Connolly, S. (2010). The Impact of van Hiele-based geometry instruction on student understanding. Mathematical and Computing Sciences Masters. Paper 97. 88.
• Correia, J., & Fisher, M. (2014). Froebel gifts: A tool to reinforce conceptual knowledge of fractions. The Ohio Journal of Science., Spring (69), 31-35.
• Crowley, M. L. (1987). The van Hiele model of the development of geometric thought. Yearbook (National Council of Teachers of Mathematics), 1987, 1–16.
• Dagli, Ü. Y., & Halat, E. (2016). Young children’s conceptual understanding of triangle. EURASIA Journal of Mathematics, Science & Technology Education, 12(2), 189–202. https://doi.org/10.12973/eurasia.2016.1398a
• Dubinsky, E. (2002). Reflective abstraction in advanced mathematical thinking. In D. Tall (Ed.), Advanced Mathematical Thinking (pp. 95–126). https://doi.org/10.1007/0-306-47203-1_7
• Eugene, F., Provenzo, Jr. (2009). Friedrich Froebel’s gifts connecting the spiritual and aesthetic to the real world of play and learning. American Journal of Play, 2 (1), 86-99.
• Figueira-Sampaio, A. da S., Santos, E. E. F. dos, Carrijo, G. A., & Cardoso, A. (2013). Survey of mathematics practices with concrete materials used in Brazilian schools. Procedia - Social and Behavioral Sciences, 93, 151–157. https://doi.org/10.1016/j.sbspro.2013.09.169
• Friedman, M. (2018). “Falling into disuse”: the rise and fall of Froebelian mathematical folding within British kindergartens. Paedagogica Historica, 54(5), 564–587. https://doi.org/10.1080/00309230.2018.1486441
• Gifford, S., Griffiths, R., & Back, J. (2017). Using manipulatives in the foundations of arithmetic: Main report; examples for teachers. University of Leicester.
• Gray, E. M., & Tall, D. O. (2001). Relationships between embodied objects and symbolic procepts: An explanatory theory of success and failure in mathematics. In M. van den Heuvel-Panhuizen (Ed.), Proceedings of 25th annual conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 65-72). Utrecht, The Netherlands: PME.
• Gray, E., & Tall, D. (2007). Abstraction as a natural process of mental compression. Mathematics Education Research Journal, 19(2), 23–40. https://doi.org/10.1007/BF03217454 Hewitt, K. (2001). Blocks as a tool for learning: Historical and contemporary perspectives. Young Children, 56 (1), 6–11.
• Hill, P. S. (1908). The value and limitations of Froebel's gifts as educative materials parts III, IV, V. The Elementary School Teacher, 9 (4) 192-201.
• İncikabı, L., & Kılıç, Ç. (2013). İlköğretim Öğrencilerinin Geometrik Cisimlerle İlgili Kavram Bilgilerinin Analizi. Kuramsal Eğitimbilim Dergisi, 6 (3), 343-358.
• Jones, K. (1998). Theoretical frameworks for the learning of geometrical reasoning. Proceedings of the British Society for Research into Learning Mathematics, 2(18), 29–34. https://doi.org/10.1007/BF01273689
• Kalénine, S., Pinet, L., & Gentaz, E. (2011). The visual and visuo-haptic exploration of geometrical shapes increases their recognition in preschoolers. International Journal of Behavioral Development, 35, 18–26. https://doi.org/10.1177/0165025410367443
• Kamina, P., & Iyer, N. N. (2009). From concrete to abstract: Teaching for transfer of learning when using manipulatives. NERA Conference Proceedings 2009, 10. Kelley, D. (1984). A theory of abstraction. Cognition & Brain Theory, 7(3-4), 329-357.
• Kesicioğlu, O. S., Alisinanoğlu, F., & Tuncer, A.T. (2011). Okul Öncesi Dönem Çocukların Geometrik Şekilleri Tanıma Düzeylerinin İncelenmesi. Elementary Education Online, 10 (3), 1093-1111.
• Koğ, O. U., & Başer, N. (2011). Görselleştirme yaklaşımının matematikte oğrenilmiş caresizliğe ve soyut düşümeye etkisi. Batı Anadolu Eğitim Bilimleri Dergisi, 1 (3), 89-108.
• Koleza, E., & Giannisi, P. (2013). Kindergarten children’s reasoning about basic geometric shapes. In B. Ubuz, Ç. Haser & M. A. Mariotti (Eds.), Proceedings of the Eighth Congress of the European Society for Research in Mathematics Education, 2118–2127.
• Kotovsky, L., & Gentner, D. (1996). Comparison and categorization in the development of relational similarity. Child Development, 67(6), 2797. https://doi.org/10.2307/1131753
• Loewenstein, J., & Gentner, D. (2001). Spatial mapping in preschoolers: Close comparisons facilitate far mappings. Journal of Cognition and Development, 2(2), 189–219. https://doi.org/10.1207/S15327647JCD0202_4
• Manning, J. P. (2005). Rediscovering Froebel: A call to re-examine his life & gifts. Early Childhood Education Journal, 32 (6), 371-376. https://doi.org/10.1007/s10643-005-0004-8
• Mistretta, R. M. (2000). Enhancing geometric reasoning. Adolescence, 35(138), 365.
• Mitchelmore, M. C., & White, P. (1995). Abstraction in mathematics: Conflict, resolution and application. Mathematics Education Research Journal, 7(1), 50–68. https://doi.org/10.1007/BF03217275
• Mitchelmore, M. C., & White, P. (2000). Development of angle concepts by progressive abstraction and generalisation. Educational Studies in Mathematics, 41(3), 209.
• Mitchelmore, M., & White, P. (2007). Abstraction in mathematics learning. Mathematics Education Research Journal, 19(2), 1–9. https://doi.org/10.1007/BF03217452
• Oberdorf, C. D., & Taylor-Cox, J. (1999). Shape Up! Teaching Children Mathematics, 5(6), 340–345.
• Palmer, L. A. (1912). Montessori and Froebelian materials and methods. The Elementary School Teacher, 13(2), 66–79. https://doi.org/10.1086/454181
• Park, H. J., & Vakalo, E. G. (2000). An enchanted toy based on Froebel s Gifts: A computational tool used to teach architectural knowledge to students. Promise and Reality - State of the Art versus State of Practice in Computing for the Design and Planning Process: 18th ECAADe Conference Proceedings, 35–39. Weimar, Germany: Bauhaus-Universitat Weimar.
• Posnansky, C. J., & Neumann, P. G. (1976). The abstraction of visual prototypes by children. Journal of Experimental Child Psychology, 21(3), 367–379. https://doi.org/10.1016/0022-0965(76)90067-9
• Ramatlapana, K., & Berger, M. (2018). Prospective Mathematics Teachers’ Perceptual and Discursive Apprehensions when Making Geometric Connections. African Journal of Research in Mathematics, Science and Technology Education, 22(2), 162–173. https://doi.org/10.1080/18117295.2018.1466495
• Ransbury, M. K. (1982). Friedrich Froebel 1782–1982: A re-examination of Froebel’s principles of childhood learning. Childhood Education, 59(2), 104–106. https://doi.org/10.1080/00094056.1982.10520556
• Read, J. (1992). A Short History of Children’s Building Blocks. In Pat Gura (Ed.), Exploring learning: Young children and block play. (pp. 1-12). London: Paul Chapman Publishing Ltd.
• Reinhold, S., Downton, A., & Livy, S. (2017). Revisiting Friedrich Froebel and his Gifts for Kindergarten: What are the benefits for primary mathematics education? In A. Downton, S. Livy & J. Hall (Eds.), 40 years on: We are still learning! Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia (pp.434-441) Melbourne: MERGA.
• Sarama, J. and Clements, D. H. (2004). Building blocks for early childhood mathematics. Early Childhood Research Quarterly, 19 (1), 181-189.
• Sarama, J. and Clements, D. H. (2009). Early childhood mathematics education research: Learning trajectories for young children. New York, NY: Routledge. https://doi.org/10.4324/9780203883785
• Schmitt, S. A., Korucu, I., Napoli, A. R., Bryant, L. M., & Purpura, D. J. (2018). Using block play to enhance preschool children’s mathematics and executive functioning: A randomized controlled trial. Early Childhood Research Quarterly, 44, 181–191. http://dx.doi.org/10.1016/j.ecresq.2018.04.006
• Sezer, T., & Güven, Y. (2016) Erken geometri beceri testi'nin geliştirilmesi ve çocukların geometri becerilerinin incelenmesi. Atatürk Üniversitesi Kazım Karabekir Eğitim Fakültesi Dergisi, 33, 1-22.
• Son, J. Y., Smith, L. B., & Goldstone, R. L. (2008). Simplicity and generalization: Short-cutting abstraction in children’s object categorizations. Cognition, 108(3), 626–638. https://doi.org/10.1016/j.cognition.2008.05.002
• Stiny, G. (1980). Kindergarten grammars: designing with Froebel's building gifts. Environment and Planning B, 7 (4), 409-462.
• Tovey, H. (2016). Bringing the Froebel approach to your early years practice, Series Edited by Sandy Green, A David Fulton Book, Routledge
• Walker, C., Hubachek, S. Q., & Vendetti, M. S. (2018). Achieving abstraction: Generating far analogies promotes relational reasoning in children. Developmental Psychology, 54(10), 1833–1841. https://doi-org.ezproxy.lakeheadu.ca/10.1037/dev0000581.
• Warren, E., & Cooper, T. J. (2009). Developing mathematics understanding and abstraction: The case of equivalence in the elementary years. Mathematics Education Research Journal, 21(2), 76–95. https://doi.org/10.1007/BF03217546
• White, H., Jubran, R., Heck, A., Chroust, A., & Bhatt, R. S. (2018). The role of shape recognition in figure/ground perception in infancy. Psychonomic Bulletin & Review, 25, 1381–1387. doi: 10.3758/s13423-018-1476-z
• Wiggin, K.D., & Smith, N.A. (1895) Froebel’s Gifts, Houghton, Mifflin and Company, Boston & New York.
• Willingham, D. T. (2009). Why don’t students like school? A cognitive scientist answers questions about how the mind works and what it means for the classroom (1st ed). San Francisco, CA: Jossey-Bass.
• Wilson, S. (1967). The “Gifts” of Friedrich Froebel. Journal of the Society of Architectural Historians, 26(4), 238. https://doi.org/10.2307/988449
• Woodard, C. (1979). Gifts from the father of the kindergarten. The Elementary School Journal, 79 (3), 136-141.
• Yaman, H., & Şahin, T. (2014). Somut ve sanal manipülatif destekli geometri oğretiminin 5. sınıf oğrencilerinin geometrik yapıları inşa etme ve cizmedeki başarılarına etkisi. Abant İzzet Baysal Üniversitesi Eğitim Fakültesi Dergisi, 14 (1), 202-220. https://doi.org/10.17240/aibuefd.2014.14.1-5000091509
• Yuan, L., Uttal, D., & Gentner, D. (2017). Analogical processes in children’s understanding of spatial representations. Developmental Psychology, 53(6), 1098–1114.
• Zuckerman, O. (2006). Historical Overview and Classification of Traditional and Digital Learning Objects. Cambridge, MA: MIT Media Lab. http://llk.media.mit.edu/courses/readings/classification-learning-objects.pdf.