RESEARCH PAPER
Addition Concept through the Lenses of Young Children: Creating Visual Representation with Digital Cameras
 
More details
Hide details
1
Faculty of Education, Universiti Kebangsaan Malaysia, Bangi, Selangor, MALAYSIA
 
 
Publication date: 2020-04-20
 
 
EURASIA J. Math., Sci Tech. Ed 2020;16(6):em1854
 
KEYWORDS
ABSTRACT
Acquiring abstract Mathematics concepts is often challenging for young children. This study explored young children’s use of digital cameras to exhibit their understanding of the addition concept. It investigated how the processes involved in producing the photographs and creating the visual representation that helped to develop the children’s comprehension of the concept of addition. This study employed a qualitative research design and data collection included observation, dialogues with children and children’s artefact (i.e. photographs). Six children in a preschool centre were participants for the focus group. The findings showed that young children were capable photographers and that their visual representation images supported their understanding of the addition concept. The study implicated that the creation of mathematical visual representation is critical to facilitate the development of abstract mathematics concepts.
 
REFERENCES (55)
1.
Abdullah, N., Zakaria, E., & Halim, L. (2012). The effect of a thinking strategy approach through visual representation on achievement and conceptual understanding in solving mathematical word problems. Asian Social Science, 8(16), 30-37. https://doi.org/10.5539/ass.v8....
 
2.
Ahmad, A., Tarmizi, R. A., & Nawawi, M. (2010). Visual representations in mathematical word problem solving among form four students in Malacca. Procedia-Social and Behavioral Sciences, 8, 356-361. https://doi.org/10.1016/j.sbsp....
 
3.
Anghileri, J. (2000). Teaching number sense. Trowbridge, Wiltshire: Cromwell Press.
 
4.
Arcavi, M. (2003). The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52(3), 215-241. https://doi.org/10.1023/A:1024....
 
5.
Bakar, K. A., Mohamed, S., Yunus, F., & Karim, A. A. (2020). Use of Multiple Representations in Understanding Addition: The Case of Pre-school Children. International Journal of Learning, Teaching and Educational Research, 19(2). https://doi.org/10.26803/ijlte....
 
6.
Bakar, N. A. & Nasri, N. M. (2018). Pendidikan sains awal kanak-kanak berbantukan teknologi maklumat dan komunikasi (TMK) dalam proses pengajaran dan pembelajaran di kelas prasekolah (Assisted information technology and communication (ICT) early science eduaction for preschool classes). Paper presented at the International Conference on Social Studies & Humanities (ICOSH 2018).
 
7.
Barker, J., & Smith, F. (2012). What’s in focus? A critical discussion of photography, children and young people. International Journal of Social Research Methodology, 15(2), 91-103. https://doi.org/10.1080/136455....
 
8.
Baroody, A. J. (1987a). Children’s mathematical thinking: A developmental framework for preschool, primary, and special education teachers. New York: Teachers College Press.
 
9.
Baroody, A. J. (1987b). The development of counting strategies for single-digit addition. Journal for Research in Mathematics Education, 18(2), 141-157. https://doi.org/10.2307/749248.
 
10.
Baroody, A. J., & Wilkins, J. L. (1999). The development of informal counting, number, and arithmetic skills and concepts. In J.V. Copley (Ed.), Mathematics in the early years (pp. 48-65). Reston, VA: National Council of Teachers of Mathematics.
 
11.
Batchelor, S., Keeble, S., & Gilmore, C. (2015). Magnitude representations and counting skills in preschool children. Mathematical Thinking and Learning, 17(2-3), 116-135. https://doi.org/10.1080/109860....
 
12.
Blagojevic, B., & Thomes, K. (2008). Young photographers. YC Young Children, 63(5), 66.
 
13.
Bragg, L. A., & Nicol, C. (2011). Seeing mathematics through a new lens: Using photos in the mathematics classroom. Australian Mathematics Teacher, 67(3), 3-9.
 
14.
Britsch, S. (2010). Photo-booklets for English language learning: Incorporating visual communication into early childhood teacher preparation. Early Childhood Education Journal, 38(3), 171-177. https://doi.org/10.1007/s10643....
 
15.
Bruner, J. S. (1960). The process of education. Cambridge: Harvard University Press.
 
16.
Butterworth, B. (2005). The development of arithmetical abilities. Journal of Child Psychology and Psychiatry, 46(1), 3-18. https://doi.org/10.1111/j.1469....
 
17.
Byrnes, J., & Wasik, B. A. (2009). Picture this: Using photography as a learning tool in early childhood classrooms. Childhood Education, 85(4), 243-248. https://doi.org/10.1080/000940....
 
18.
Crespo, S. M., & Kyriakides, A. O. (2007). To draw or not to draw: Exploring children’s drawings for solving mathematics problems. Teaching Children Mathematics, 14(2), 118-125.
 
19.
Cuoco, A., & Curcio, F. R. (2001). The roles of representation in school mathematics. Reston, VA: National Council of Teachers of Mathematics.
 
20.
Eisenhardt, S., Fisher, M. H., Thomas, J., Schack, E. O., Tassell, J., & Yoder, M. (2014). Is it counting, or is it adding? Teaching Children Mathematics, 20(8), 498-507. https://doi.org/10.5951/teacch....
 
21.
Elia, I., Gagatsis, A., & Demetriou, A. (2007). The effects of different modes of representation on the solution of one-step additive problems. Learning and Instruction, 17(6), 658-672. https://doi.org/10.1016/j.lear....
 
22.
Furner, J. M., & Marinas, C. A. (2012). Learning math concepts in your environment using photography and GeoGebra. Paper presented at the International Conference on Technology in Collegiate Mathematics. Retrieved from http://archives.math.utk.edu/I....
 
23.
Gelman, R., & Gallistel, C. (1978). The children’s understanding of number. Cambridge, MA: Harvard University Press.
 
24.
George, A., & Archontia, M. (2013). Educational technology as a teaching and learning tool in environmental education. International Journal of Academic Research in Business and Social Sciences, 3(9), 191. https://doi.org/10.6007/IJARBS....
 
25.
Goldin, G., & Shteingold, N. (2001). Systems of representations and the development of mathematical concepts. In A.A. Cuoco & F.R. Curcio (Eds.), The roles of representation in school mathematics (pp 1-23). Reston, VA: NCTM.
 
26.
Hawes, Z., Moss, J., Caswell, B., Seo, J., & Ansari, D. (2019). Relations between numerical, spatial, and executive function skills and mathematics achievement: A latent-variable approach. Cognitive Psychology, 109, 68-90. https://doi.org/10.1016/j.cogp....
 
27.
Hughes, M. (1981). Can preschool children add and subtract? Educational Psychology, 1(3), 207-219. https://doi.org/10.1080/014434....
 
28.
Ibarra, C. G., & Lindvall, C. M. (1982). Factors associated with the ability of kindergarten children to solve simple arithmetic story problems. The Journal of Educational Research, 75(3), 149-156. https://doi.org/10.1080/002206....
 
29.
Kahl, T., Grob, A., Segerer, R., & Möhring, W. (2019). Executive functions and visual-spatial skills predict mathematical achievement: Asymmetrical associations across age. Psychological Research, 1-11. https://doi.org/10.1007/s00426....
 
30.
Khalid, F., Nawawi M. H. & Roslan, S. (2009). Integration of ICT in Malaysian secondary schools: What conditions will facilitate its use? International Journal of Learning, 15(2), 85-94. https://doi.org/10.18848/1447-....
 
31.
Khalid,F., Karim, A.A., & Husnin,H. (2018). Pre-Service teachers’ preparedness in integrating pedagogy, content and technology knowledge. Journal of Advanced Research in Dynamical & Control Systems, 10(2), 1467-1473.
 
32.
Lesh, R., Post, T., & Behr, M. (1987). Representations and translations among representations in mathematics learning and problem solving. In C.Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 33-40). Hillsdale, NJ: Erlbaum.
 
33.
Lokman, H.F., Nasri, N.M., & Khalid, F. (2019). The effectiveness of using twitter application in teaching pedagogy: A meta-synthesis study. International Journal of Academic Research in Progressive Education and Development, 8(2), 205–212.
 
34.
Macnab, J. S., Phillips, L. M., & Norris, S. P. (2012). Visualizations and visualization in mathematics education. In S. P. Norris (Ed.), Reading for evidence and interpreting visualizations in mathematics and science education (pp. 103–122). Rotterdam: Sense Publishers. https://doi.org/10.1007/978-94....
 
35.
Marinak, B. A., Strickland, M. J., & Keat, J. B. (2010). A Mosaic of words: Using photo-narration to support all learners. Young Children, 65(5), 32-36.
 
36.
Milenković,A., Takači, D. & Božić, R. (2020): On the influence of software application for visualization in teaching double integrals, Interactive Learning Environments. https://doi.org/10.1080/104948....
 
37.
Mohamed, M., & Johnny, J. (2010). Investigating number sense among students. Procedia-Social and Behavioral Sciences, 8, 317-324. https://doi.org/10.1016/j.sbsp....
 
38.
Murray, S. (2008). Digital images, photo-sharing, and our shifting notions of everyday aesthetics. Journal of Visual Culture, 7(2), 147-163. https://doi.org/10.1177/147041....
 
39.
Northcote, M. (2011). Step back and hand over the cameras! Australian Primary Mathematics Classroom, 16(3), 29.
 
40.
Orr, J., & Suh, J. (2013). A picture is worth 100 Math ideas. Teaching Children Mathematics, 19(7), 458-460. https://doi.org/10.5951/teacch....
 
41.
Patel, P., & Canobi, K. H. (2010). The role of number words in preschoolers’ addition concepts and problem‐solving procedures. Educational Psychology, 30(2), 107-124. https://doi.org/10.1080/014434....
 
42.
Piaget, J. (1955). The construction of reality in the child. Journal of Consulting Psychology, 19(1), 77. https://doi.org/10.1037/h00388....
 
43.
Pyle, A. (2013). Engaging young children in research through photo elicitation. Early Child Development and Care, 183(11), 1544-1558. https://doi.org/10.1080/030044....
 
44.
Resnick, L. B. (1992). From protoquantities to operators: Building mathematical competence on a foundation of everyday knowledge. In G. Leinhardt, R. Putnam & R. A. Hattrup (Eds.), Analysis of arithmetic for mathematics teaching (pp. 373-429). Hillsdale, NJ: Lawrence Erlbaum Associates, Publishers.
 
45.
Ruhil Amal, A., Nor Fariza, M. N., & Afendi, H. (2017). Metacognitive online reading and navigational strategies by science and technology university students. GEMA Online Journal of Language Studies, 17(3), 18-36. https://doi.org/10.17576/gema-....
 
46.
Serriere, S. C. (2010). Carpet-time democracy: Digital photography and social consciousness in the early childhood classroom. The Social Studies, 101(2), 60-68. https://doi.org/10.1080/003779....
 
47.
Siegler, R. S., & Jenkins, E. (1989). How children discover new strategies. Hillsdale, NJ: Erlbaum.
 
48.
Stephenson, A. (2009). Horses in the sandpit: Photography, prolonged involvement and “Stepping Back” as strategies for listening to children’s voices. Early Child Development and Care, 179(2), 131-141. https://doi.org/10.1080/030044....
 
49.
Stylianou, D. A., & Silver, E. A. (2004). The role of visual representations in advanced mathematical problem solving: An examination of expert-novice similarities and differences. Mathematical thinking and learning, 6(4), 353-387. https://doi.org/10.1207/s15327....
 
50.
Tyng, K. S., Zaman, H. B., & Ahmad, A. (2011). Visual application in multi-touch tabletop for mathematics learning: A preliminary study. Paper presented at the International Visual Informatics Conference (pp. 319-328), Springer, Berlin: Heidelberg. https://doi.org/10.1007/978-3-....
 
51.
van Garderen, D., Scheuermann, A., & Jackson, C. (2013). Examining how students with diverse abilities use diagrams to solve mathematics word problems. Learning Disability Quarterly, 36(3), 145-160. https://doi.org/10.1177/073194....
 
52.
Woleck, K. (2001). Listen to their pictures: An investigation of children’s mathematical drawings. In A. A. Cuoco & F. R. Curcio (Eds.), The roles of representation in school mathematics (pp. 215-227). Reston, VA: The National Council of Teachers of Mathematics.
 
53.
Zahner, D., & Corter, J. E. (2010). The process of probability problem solving: Use of external visual representations. Mathematical Thinking and Learning, 12(2), 177-204. https://doi.org/10.1080/109860....
 
54.
Zarzycki, P. (2004). From visualizing to proving. Teaching Mathematics and its Applications, 23(3), 108-118. https://doi.org/10.1093/teamat....
 
55.
Zazkis, R., Dubinsky, E., & Dautermann, J. (1996). Coordinating visual and analytic strategies: A study of students’ understanding of the group D4. Journal for Research in Mathematics Education, 27(4), 435-457. https://doi.org/10.2307/749876.
 
eISSN:1305-8223
ISSN:1305-8215
Journals System - logo
Scroll to top