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Rittle-Johnson, B., & Alibali, M. W. (1999). Conceptual and procedural knowledge of mathematics: Does one lead to the other? Journal of Educational Psychology, 91(1), 175–189.

has been cited by the following article:

Article

Procedural Knowledge-to-Conceptual Knowledge or Conceptual Knowledge-to-Procedural Knowledge: Which Order of Knowledge is Better for Conceptual Understanding and Procedural Fluency

1Mathematics Department, Corpus Christi School, Cagayan de Oro City, Philippines

2Department of Mathematics Education, University of Science and Technology of Southern Philippines, Cagayan de Oro City, Philippines


Journal of Innovations in Teaching and Learning. 2024, Vol. 4 No. 1, 1-6
DOI: 10.12691/jitl-4-1-1
Copyright © 2024 Science and Education Publishing

Cite this paper:
Gliselle Faith L. Asilo-Ebisa, Laila S. Lomibao. Procedural Knowledge-to-Conceptual Knowledge or Conceptual Knowledge-to-Procedural Knowledge: Which Order of Knowledge is Better for Conceptual Understanding and Procedural Fluency. Journal of Innovations in Teaching and Learning. 2024; 4(1):1-6. doi: 10.12691/jitl-4-1-1.

Correspondence to: Gliselle  Faith L. Asilo-Ebisa, Mathematics Department, Corpus Christi School, Cagayan de Oro City, Philippines. Email: asiloglccs@gmail.com

Abstract

This study explored the effectiveness of the two orders of instruction (conceptual-to-procedural knowledge and conceptual-to-procedural knowledge) to grade 10 students’ conceptual understanding and procedural fluency. A quasi-experimental control-group pretest-posttest design was used. The control group experienced a conceptual-to-procedural order of instruction which is the usual practice in the school while the experimental group experienced a procedural-to-conceptual order of instruction. Quade’s ANCOVA, a non-parametric statistical tool, was used to examine if there is a significant difference between the student’s conceptual understanding and procedural fluency when grouped according to order of instruction. A non-parametric statistical tool was utilized because the data was found to be not normally distributed. The pretest scores serve as a covariate in Quade’s ANCOVA to reduce the error variance and to eliminate systematic bias. Results showed that, there is no significant difference in the students’ conceptual understanding and procedural fluency in measures of central tendency, measures of dispersion, and measures of position when grouped according to the order of instruction. Moreover, students under the conceptual-to-procedural knowledge and procedural-to-conceptual knowledge performed similarly. Thus, the researchers recommend the interchangeable use of order of instruction. Since there is a bidirectional relationship between conceptual and procedural knowledge, the teachers are recommended not to stick with just one order of instruction but to use it iteratively.

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