Improving Learning Outcomes of Matrix Functions with Innovative Teaching Methods in Education

Abstract

The role of innovative teaching methods in education in improving the learning outcomes of matrix functions is quite evident. These methods help students to understand matrix functions more effectively and reinforce their theoretical knowledge with practical applications. The evaluation of the impact of teaching methods on learning outcomes emphasizes the importance of these strategies in education. Practical learning techniques allow students to develop a deeper understanding of concepts and improve their problem solving skills. Therefore, the adoption of these innovative approaches by educators will lead to more successful and lasting learning outcomes in the teaching of matrix functions. Strengthening the education system with such innovations will be an important step that will contribute to the mathematical thinking of the future.

Keywords

• Education-Teaching
• Innovative teaching
• Teaching Method
• Matrix Functions

Improving Learning Outcomes of Matrix Functions with Innovative Teaching Methods in Education

Öz

The role of innovative teaching methods in education in improving the learning outcomes of matrix functions is quite evident. These methods help students to understand matrix functions more effectively and reinforce their theoretical knowledge with practical applications. The evaluation of the impact of teaching methods on learning outcomes emphasizes the importance of these strategies in education. Practical learning techniques allow students to develop a deeper understanding of concepts and improve their problem solving skills. Therefore, the adoption of these innovative approaches by educators will lead to more successful and lasting learning outcomes in the teaching of matrix functions. Strengthening the education system with such innovations will be an important step that will contribute to the mathematical thinking of the future. Keywords:

Anahtar Kelimeler

• Education-Teaching
• Innovative teaching
• Teaching Method
• Matrix Functions

Kaynakça

1. Aguilar-Chávez, C., Carvajal-Gámez, B. E., & López-Bonilla, J. (2010). A study of matrix exponential function. Siauliai Mathematical Seminar (Lithuania), 5 (13), 5–17.
2. Caltenco, J. H., López-Bonilla, J., & Peña-Rivero, R. (2007). Characteristic polynomial of A and Faddeev’s method for A-1. Educatia Matematica, 3 (1-2), 107–112.
3. Caltenco, J. H., López-Bonilla, J., & Rivera-Rebolledo, J. M. (2011). Gaussian quadrature via Hermite and Lagrange interpolations. Journal of Scientific Research (India), 55, 177–180.
4. Cruz-Santiago, R., López-Bonilla, J., & Vidal-Beltrán, S. (2018). On eigenvectors associated to a multiple eigenvalue. World Scientific News, 100, 248–253.
5. Guerrero-Moreno, I., & López-Bonilla, J. (2019). On the remainder of Lagrangian interpolation formula. American-Eurasian Journal of Scientific Research, 14 (1), 1–3.
6. Hanzon, B., & Peeters, R. (1999-2000). Computer algebra in systems theory. Dutch Institute of Systems and Control, Course Program.
7. Hernández-Galeana, A., López-Bonilla, J., & López-Vázquez, R. (2018). On the resolvent of a matrix. European Journal of Applied Sciences, 10 (1), 33–36.
8. Higham, N. J. (2008). Functions of matrices: Theory and computation. SIAM.

9. Higham, N. J. (2014). Sylvester’s influence on applied mathematics. Mathematics Today, 50 (4), 202–206.
10. López-Bonilla, J., Morales, J., Ovando, G., & Ramírez, E. (2006). Leverrier-Faddeev’s algorithm applied to spacetimes of class one. Proceedings of the Pakistan Academy of Sciences, 43 (1), 47–50.
11. López-Bonilla, J., Romero-Jiménez, D., & Zaldívar-Sandoval, A. (2015). Laplace transform of matrix exponential function. Prespacetime Journal, 6 (12), 1410–1413.
12. López-Bonilla, J., Torres-Silva, H., & Vidal-Beltrán, S. (2018). On the Faddeev-Sominsky’s algorithm. World Scientific News, 106, 238–244.
13. Rother, T. (2017). Green’s functions in classical physics. Springer.
14. Shores, T. S. (2018). Applied linear algebra and matrix analysis. Springer.
15. Shui-Hung Hou, E., Hou, W., & Pang, W.-K. (2006). On the matrix exponential function. International Journal of Mathematical Education in Science and Technology, 37 (1), 65–70.