<?xml version="1.0" encoding="UTF-8"?>
<records>
<record>
<language>eng</language>
<publisher>Science and Education Publishing</publisher>
<journalTitle>Journal of Innovations in Teaching and Learning</journalTitle>
<publicationDate>2024-01-16</publicationDate>
<volume>4</volume>
<issue>1</issue>
<startPage>1</startPage>
<endPage>6</endPage>
<doi>10.12691/jitl-4-1-1</doi>
<publisherRecordId>JITL2024411</publisherRecordId>
<documentType>article</documentType>
<title language="eng">Procedural Knowledge-to-Conceptual Knowledge or Conceptual Knowledge-to-Procedural Knowledge: Which Order of Knowledge is Better for Conceptual Understanding and Procedural Fluency</title>
<authors>
<author>
<name>Gliselle Faith L. Asilo-Ebisa</name>
<email>asiloglccs@gmail.com</email>
<affiliationId>1</affiliationId>
</author>
<author>
<name>Laila S. Lomibao</name>
<affiliationId>2</affiliationId>
</author>

</authors>
<affiliationsList>
<affiliationName affiliationId="1">Mathematics Department, Corpus Christi School, Cagayan de Oro City, Philippines</affiliationName>
<affiliationName affiliationId="2">Department of Mathematics Education, University of Science and Technology of Southern Philippines, Cagayan de Oro City, Philippines</affiliationName>
</affiliationsList>
<abstract language="eng">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.</abstract>
<fullTextUrl format="pdf">https://pubs.sciepub.com/jitl/4/1/1/jitl-4-1-1.pdf</fullTextUrl>
<keywords language="eng"><keyword>conceptual knowledge</keyword>
<keyword>procedural knowledge</keyword>
<keyword>conceptual understanding</keyword>
<keyword>procedural fluency</keyword>
<keyword>Quade¡¯s ANCOVA</keyword>
</keywords>
</record>
</records>
