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Mathematics in Preschool and Problem Solving: Visualizing Abstraction of Balance

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http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45302#.VL3_FSzQrzE

ABSTRACT
This article describes how children learn to distinguish variations of the concept balance when they have different kinds of experiences of feeling, making and creating balance. The focus of the study is how children in preschool develop the ability to think logically and creative by exploring balance as phenomena in everyday life. Empirical data were collected in two preschool groups with children that were 3 - 5 years old. By following the process the results show that children and teachers increased their awareness and developed an understanding of balance, its meaning and significance, through creative teaching—by playing different games, drawing, constructing and building. The results also show that creative framework in performing activities seems to enrich the collective learning process as well as using mathematical concepts to describe the abstraction of balance.
Cite this paper
Ahlcrona, M. and Samuelsson, I. (2014) Mathematics in Preschool and Problem Solving: Visualizing Abstraction of Balance. Creative Education, 5, 427-434. doi: 10.4236/ce.2014.56052.
 
References
[1]Bernier, M., & O’Hare, J. (2005). Puppetry in Education and Therapy: Unlocking Doors to the Mind and Heart. Bloomington, IN: Authorhouse.
 
[2]Bjorklund, C. (2010). Broadening the Horizon: Toddlers’ Strategies for Learning Mathematics. International Journal of Early Years Education, 18, 71-84.
http://dx.doi.org/10.1080/09669761003661246
 
[3]Bjorklund, C. (2012). What Counts When Working with Mathematics in a Toddler-Group? Early Years, 32, 215-228.
http://dx.doi.org/10.1080/09575146.2011.652940
 
[4]Carruthers, E., & Worthington, M. (2011) Understanding Children’s Mathematical Graphics. Beginnings in Play. Maidenhead: Open University Press.
 
[5]Chappell, K. A., & Craft, A. R. (2011). Creative Learning Conversations: Producing Living Dialogic Spaces. Educational Research, 53, 363-385.
http://dx.doi.org/10.1080/00131881.2011.598663
 
[6]Craft, A. (2002).Creativity and Early Years Education: A Lifewide Foundation. Continuum Studies in Lifelong Learning, London: Continuum.
 
[7]Doveborg, E., & Pramling Samuelsson, I. (2012). Att forsta barns tankar—Kommunikationens betydelse [To Understand Children’s Thinking—The Importance of Communication]. Stockholm: Liber.
 
[8]Duffy, B. (2006). Supporting Creativity and Imagination in the Early Years. Maidenhead: Open University Press.
 
[9]Flughem. R. (1989). Allt jag behover veta larade jag mig pa dagis [All I Need to Know I Learnt in Day-Care]. Stockholm: Bonniers.
 
[10]Forsberg Ahlcrona, M. (2009). Handdockans kommunikativa potential som medierande redskap i forskolan [The Puppet’s Communicative Potential as a Mediating Tool in Preschool]. Goteborg: Acta Universitatis Gothoburgensis.
 
[11]Forsberg Ahlcrona, M. (2012). Forskolans didaktik och dockan som redskap—Kommunikation och skapande i forskolan [Preschool Didactic and Puppet as a Tool—Communication and Creation in Preschool]. Lund: Studentlitteratur.
 
[12]Forsberg Ahlcrona, M. (2012a). The Puppet’s Communicative Potential as a Mediating Tool in Preschool Education. International Journal of Early Childhood, 44, 171-184.
http://dx.doi.org/10.1007/s13158-012-0060-3
 
[13]Forsberg Ahlcrona, M. (2012b). Handdockan i pedagogiken. Vad handlar det om? [Puppets in pedagogy. What is it about?]. In A. Klerfelt, & B. Qvarsell (Eds.), Kultur, estetik och barns ratt i pedagogiken (pp. 181-196). Malmo: Gleerups.
 
[14]Hamre, I. (2004). Learning through Animation Theatre. Prague: UNIMA.
 
[15]Harris, P. L. (2000). The Work of the Imagination. Understanding Children’s Worlds. Oxford: Blackwell Publishers.
 
[16]Hendy, L. &Toon, L. (2001).Supporting Drama and Imaginative Play in the Early Years. Buckingham: Open University.
 
[17]Hoff, E. (2003). The Creative World of Middle Childhood. Creativity, Imagination, and Self-Image from Qualitative and Quantitative Perspectives. Lund: Lund University.
 
[18]Langer, E. (1989). Mindfullness. Cambridge, MA: Persens Books.
 
[19]Magnusson, M. (2013). Skylta med kunskap: En studie av hur barn urskiljer grafiska symboler i hem och forskola [Signing with Knowledge: A Study of How Children Discern Graphical Symbols at Home and in Preschool]. Goteborg: Acta Universitatis Gothenburgensis
 
[20]Marton, F. (1981). Phenomenography—Describing Conceptions of the World around Us. Instructional Science, 10, 177-200.
http://dx.doi.org/10.1007/BF00132516
 
[21]Moomaw, S. (2011). Teaching Mathematics in Early Childhood. Baltimore, ML: Paul Brookes.
 
[22]Mulligan, J. T., & Mitchelmore, M. C. (2009). Awereness of Pattern and Structure in Early Mathematical Development. Mathematics Education Research Journal, 21, 33-49.
 
[23]Mulligan, J. T. (2011). Towards Understanding of the Origins of Children’s Difficulties in Mathematics Learning. Austrralian Journal of learning Difficulties, 16, 19-39.
 
[24]Palmer, A. (2011) Hur blir man matematisk? Att skapa nya relationer till matematik och genus i arbetet med yngre barn [How to Become a Mathematical? Creating New Relationships to Mathematics and Gender in Work with Younger Children]. Stockholm: Liber.
 
[25]Pramling Samuelsson, I., & Asplund Carlsson, M. (2008). The Playing Learning Child: Towards a Pedagogy of Early Childhood. Scandinavian Journal of Educational Research, 52, 623-641.
http://dx.doi.org/10.1080/00313830802497265
 
[26]Pramling, I. (1983). The Child’s Conception of Learning. Goteborg: Acta Universitatis Gothoburgensis.
 
[27]Pramling, I. (1996). Understanding and Empowering the Child as a Learner. In D. Olson, & N. Torrance (Eds.), Handbook of Education and Human Development: New Models of Learning, Teaching and Schooling (pp. 565-589). Oxford: Basil Blackwell.
 
[28]Pramling, I. (1990). Learning to Learn. A Study of Swedish Preschool Children. New York: Springer Verlag.
http://dx.doi.org/10.1007/978-1-4612-3318-3
 
[29]Pramling, I. (1994). Kunnandets grunder. Provning av en fenomenografisk ansats till att utveckla barns forstaelse for sin omvarld [The Foundations of Knowing. Test of a Phenomenographic Effort to Develop Children’s Ways of Understanding the Surrounding World]. Goteborg: Acta Universitatis Gothoburgensis.
 
[30]Prasad, S. (2008) Creative Expressions: Say It with Art. Chennai, India.
 
[31]Reis, M. (2011). Att ordna fran ordning till ordning. Yngreforskolebarnsmatematiserande [To Order, from Order to Order: Toddlers’ Mathematizing]. Goteborg: Acta Universitatis Gothenburgensis.
 
[32]Robinson, K. (2006) How Schools Kill Creativity.
http://www.ted.com/talks/ken_robinson_says_schools_kill_creativity.html
 
[33]Sarama, J., & Clements, D. H. (2009). Early Childhood Mathematics Education Research Learning Trajectories for Young Children. New York: Routledge.
 
[34]Sawyer, R. K. (1997). Pretend Play as Improvisation. Conversation in the Preschool Classroom. Mahwok, NJ: Erlbaum.
 
[35]Sawyer, R. K., Moran, S., John-Steiner, V., Sternberg, R. J., Feldman, D. H., Gardner, H., Nakamura, J., & Csikszentmihalyi, M. (2003). Creativity and Development. Oxford: University Press.
http://dx.doi.org/10.1093/acprof:oso/9780195149005.001.0001
 
[36]Smidt, S. (2010). Vygotskijoch de sma och yngre barnens larande [Vygotsky and Early Years Education]. Lund: Studentlitteratur.
 
[37]Sommer, D., Pramling, S. I., & Hundeide, K. (2010). Child Perspectives and Children’s Perspectives in Theory and Practice. New York: Springer.
http://dx.doi.org/10.1007/978-90-481-3316-1
 
[38]Tyrrell, J. (2001). The Power of Fantasy in Early Learning. New York: Routledge.
 
[39]Van Oers, B. (2012). Developmental Education for Young Children. Concept, Practice and Implementation. Dordrecht: Springer.
 
[40]Vygotskij, L. S. (1995). Fantasi och kreativitet i barndomen [Fantasy and Creativity in Childhood]. Goteborg: Daidalos.
 
[41]Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes. Cambridge, MA: Harvard University Press.
 
[42]Vygotsky, L. S. (1986). Thought and language. Cambridge, MA: MIT Press.
 
[43]Wright, S. (1991). The Arts in Early Childhood. Upper Saddle River, NJ: Prentice Hall.
 
[44]Wright, S. (2003). Children, Meaning-Making and the Arts. Melbourne: Pearson Education.
 
[45]Wright, S. (2010). Understanding Creativity in Early Childhood. Meaning-Making and Children’s Drawing. Thousand Oaks, CA: SAGE Publications Ltd.                                                              eww150120lx

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