Indigenous Symbols Indigenize Concreteness Fading in Multiplication of Numbers Concreteness Fading

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Clement Ayarebilla Ali

Abstract

This study sought to use indigenous (“Adinkra”) artefacts to present “Concreteness Fading” in multiplication of one-digit and one-digit numbers. The researcher used simple random sampling technique to select 51 participants from 300 student teachers. Two sets of tests were used to collect the data. The results were equally presented in two stages. The first stage analysed the tasks the student teachers solved using “Concreteness Fading”. The results revealed smooth and joyful navigations of the stages of “Concreteness Fading”. The second stages analysed the performance of the student teachers with T-test statistics. The results of one sample t-test and paired samples t-test showed that student teachers solved more problems correctly using “Concreteness Fading” than the conventional concrete manipulatives. Following the findings, we concluded that heavy use of only concrete objects and examples without abstracting can be detrimental to teaching mathematics. We therefore, recommended that student teachers must always avoid rushing to symbols and symbolic manipulations of mathematics but rather align their methods, techniques and strategies in the transition through the three stages of “Concreteness Fading”.

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Author Biography

Clement Ayarebilla Ali, University of Education, Winneba

Dr. Clement Ayarebilla Ali is an Associate Professor in Mathematics Education in the Department of Basic Education, University of Education, Winneba. He has over 20 teaching experience in teacher education, training, and research in Ghana. Clement has published over 50 articles and books, presented over 40 peer-reviewed conference papers, and written mathematics modules for distance and e-learning. He has reviewed theses, books, articles, and conference papers for internationally renowned publishers. His research interest is in mathematics education, didactics of mathematics, teacher education, early childhood education, and psychology of mathematics education. He is married and blessed with three children.