A SURVEY OF THE ERRORS OF STUDENTS IN GRADES 10 AND 12 WHEN USING VIETA’S FORMULAS TO SOLVE THE ASSOCIATED MATHEMATICAL PROBLEMS

Duong Huu Tong, Bui Phuong Uyen, Ha Hoang Quoc Thi, Nguyen Thi Lai

Abstract


Vieta’s formulas have many applications in the general mathematics program in Vietnam. Indeed, they appear in many forms of mathematical problems, ranging from 9th, 10th and 12th grades. The complexity of the mathematical problems makes students commit many errors when using the Vieta’s formulas to solve them. The sample consisted of 246 students in grades 10 and 12, in which they addressed four questionnaires related to Vieta’s formulas. The results were quite unexpected because the errors of tenth graders also existed for 12th grade students for many different reasons.

 

Article visualizations:

Hit counter

DOI

Keywords


Vieta’s formulas, error, reason, quadratic equation

References


Hao, T. V. (2015). Algebra 10 (Đại Số 10), Vietnamese Publishing house of Education.

Hao, T. V. (2015). Calculus 12 (Giải tích 12), Vietnamese Publishing house of Education.

Herholdt, R. & Sapire, I. (2014). An Error Anaysis in the Early Grades Mathematics – A Learning Opportinity. South African Journal of Childhood Education, Vol. 4, No. 1, 42-60.

Jupri, A. & Drijvers, P. (2016). Student Difficulties in Mathematizing Word Problems in Algebra. Eurasia Journal of Mathematics, Science & Technology Education, Vol. 12, No. 9, 2481-2502.

Newman, N. A. (1977). An Analysis of Sixth-grade Pupils’ Errors on Written Mathematical Tasks. Victorian Institute of Educational Research Bulletin, Vol. 39, 31-43.

Polya, G. (1973). How to Solve It: A New Aspect of Mathematical Method. Princeton, N. J.: Princeton University Press. Prakitipong.

Sawardi, H, R, H. & Shahrill, M. (2014). Understanding Students’ Mathematical Errors and Misconceptions: The Case of Year 11 Repeating Students. Mathematics Education Trends and Research, Vol. 2014, 1-10.

Thuc, P. D. (2009). Methods of Teaching Mathematics in Primary Schools, Hanoi: Publishing house of Education.




DOI: http://dx.doi.org/10.46827/ejes.v0i0.1201

Refbacks

  • There are currently no refbacks.


Copyright (c) 2018 Duong Huu Tong, Bui Phuong Uyen, Ha Hoang Quoc Thi, Nguyen Thi Lai

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright © 2015-2023. European Journal of Education Studies (ISSN 2501 - 1111) is a registered trademark of Open Access Publishing Group. All rights reserved.


This journal is a serial publication uniquely identified by an International Standard Serial Number (ISSN) serial number certificate issued by Romanian National Library (Biblioteca Nationala a Romaniei). All the research works are uniquely identified by a CrossRef DOI digital object identifier supplied by indexing and repository platforms. All authors who send their manuscripts to this journal and whose articles are published on this journal retain full copyright of their articles. All the research works published on this journal are meeting the Open Access Publishing requirements and can be freely accessed, shared, modified, distributed and used in educational, commercial and non-commercial purposes under a Creative Commons Attribution 4.0 International License (CC BY 4.0).