Abstract

  Main goal of this work should be getting familiar with terms early algebra and early algebraic thinking, as well as introducing some basic ideas of implementation algebra in early school grades. While arithmetic calculation mainly deals with concrete numbers, algebra deals with processes and their abstract concepts. For most students, transition between concrete and abstract is a big problem. Early algebra means involving algebraic contents together with arithmetic contents in early mathematic teaching. To know early algebra is to know well algebraic thinking and its components. Insight into the nature of algebraic thinking will facilitate implementation of early algebra in teaching mathematics. This is accomplished primarily by encouraging early algebraic thinking of students, algebraization of teaching materials and creating positive classroom climate where they will nurture student's modeling, representation, reasoning and interpretation of mathematical problems in different ways.

Keywords: Algebra; Arithmetic; Early Algebra; Early Algebraic Thinking

References

1. Herstein IN. “Topics in Algebra”. Blaisdell Pub. Co., Mass (1964).
2. Crvenkovic C and Romano AD. “Early algebra and early algebraic thinking, In: Methodological aspects of teaching mathematics”. Third International Conference MATM (2014).
3. Romano DA. “What is algebraic thinking?” MAT-KOL2 (2009): 19-29.
4. Kaput JJ. “A Research Base Supporting Long Term Algebra Reform?”. In DT Owens, MK Reed and GM Millsaps (Editions.), Proceedings of the 17^th Annual Meeting of PME-NA 1 (1995): 71-94.
5. Carpenter TP and Levi L. “Developing conceptions of algebraic reasoning in the primarygrades”. Research report No. 00-2. Wisconsin, Madison: National Center for improving studentlearning and achievement in mathematics and science (2000).
6. Kaput JJ. “What is algebra? What is algebraic reasoning?”. In: James J. Kaput, David W. Carraher, Maria L. Blanton (Editions.) Algebra in the Early Grades (Studies in Mathematical Thinking and Learning Series (2008): 235-272.
7. Lins R. “Algebraic and non-algebraic algebra”. In (W. Geeslin and K. Graham, Editions.) Proceeding of the Sixteenth International Conference for the Psychology of Mathematics Education 2 (1992): 56-63.
8. Kriegler S. “Just what is algebraic thinking. Submitted for Algebraic Concepts in the Middle School”. A special edition of Mathematics Teaching in the Middle School (2008).
9. Stevanovic S., et al. “An example of analysis of arithmetic and early algebraic thinking”. Inovacije U Nastavi1 (2014): 118-134.
10. Kaput JJ and Blanton M. “Algebrafying the elementary mathematics experience”. In Chick H., Stacey, K., Vincent, J., and Vincent, J. (2001). Proceedings of the 12^th ICMI Study Conference (Editions). The Future of the Teaching and Learning of Algebra 1 (2001): 344-352.
11. Booth LR. “Seeing the Pattern: Approaches to Algebra”. Australian Mathematics Teacher3 (1989): 12-13.
12. Carpenter TP., et al. “Thinking mathematically: Integrating arithmetic and algebra in elementary school”. Heinemann, Portsmouth (2003).
13. Russell SJ., et al. “Is it 2 more or 2 less?” Algebra in the elementary classroom”. Connect3 (2006): 1-3.

Citation

Citation: Vishnu Narayan Mishra. “Conceptualization of the Concept of Early Algebra and Early Algebar Opinion”. Acta Scientific Computer Sciences 2.7 (2020): 38-44.

Copyright

Copyright: © 2020 Vishnu Narayan Mishra. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.