- Title
- Effects of the use of manipulative materials on grade nine learners’ performance in fractions in public high schools in Chris Hani West Education District, South Africa
- Creator
- Adom, George
- Subject
- Mathematics -- Study and teaching -- Activity programs
- Subject
- Acalculia in children
- Date
- 2020-01
- Type
- Doctoral theses
- Type
- text
- Identifier
- http://hdl.handle.net/10353/19371
- Identifier
- vital:43058
- Description
- The purpose of this study was to investigate the effects of the use of manipulative concrete materials on grade 9 learners’ performance in fractions in public high schools in Chris Hani west education district, in the Eastern Cape Province of the Republic of South Africa. Two hundred and fifty (250) grade nine (9) learners, whose ages ranged between 13-16 years, and ten (10) educators teaching grade nine mathematics, were selected from 40 public high schools with the use of stratified, systematic random sampling, convenience and purposive sampling methods. One hundred and twenty-five (125) learners were put into the experimental group, and another one hundred and twenty-five (125) learners were put into a control group through systematic random sampling method. Pre-test, Post-test, and Control group quasi-experimental design were used as research designs to collect data. Two research instruments were developed. These included: A Fractions Achievement Test (FAT), and Students Questionnaire on Manipulative Concrete Materials (SQMCM). The experimental group were taught with the Manipulative Concrete Materials (Cuisenaire rods, Fraction bar/Fraction title, Paper folding and Computer assisted manipulative), whilst the control group was taught through the lecture method. Four (4) null hypotheses were generated and tested at 0.05 level of significance. The data collected were analysed using Analysis of Covariance (ANCOVA) to find the Mean, Standard Deviation and t-test. The mean and standard deviation were used to compare the pre-test and post-test results between the Experimental group and the Control group. The analysed results of the means, standard deviations and t-tests were used to reject the null hypotheses. The analysed results were illustrated as followed: Cuisenaire rods pre-test (mean = 8.372, SD=1.770), post-test (mean = 12,428, SD=4.732), t=13,024 p< 0.05. Hypothesis (H01) was rejected : Fraction tiles/fraction bars pre-test (mean = 8.372, SD=1.770), post-test (mean = 11,42, SD=3.67), t=12,10 p< 0.05. Hypothesis (H02) was rejected : Paper folding pre-test (mean = 8.372, SD=1.770), post-test (mean = 11,792, SD=4.256), t=12,024 p< 0.05. Hypothesis (H03) was rejected : Computer assisted manipulative pre-test (mean = 8.372, SD=1.770), post-test (mean = 12,212, SD=4.569), t=12,801 p< 0.05. Hypothesis (H04) was also rejected. The comparison of the mean scores and iv standard deviation between the Experimental groups and Control groups indicated that there was no significant difference in the Pre-test in all cases. On the other hand, the mean scores and standard deviations between the Experimental group and Control group in the Post-test showed a vast difference in all cases. There were improvement in the mean scores, and slightly difference in the standard deviations in the Experimental groups, whilst there were drops in the mean scores and standard deviations of the Control groups in all cases. From the studies, there was an indication that manipulative concrete materials have significant effects on grade nine learner’s performance in fractions. It was therefore suggested that manipulative concrete materials should be incorporated into the instructions of fractions in mathematics.
- Description
- Thesis (PhD) -- Faculty of Education, 2020
- Format
- computer
- Format
- online resource
- Format
- application/pdf
- Format
- 1 online resource (300 pages)
- Format
- Publisher
- University of Fort Hare
- Publisher
- Faculty of Education
- Language
- English
- Rights
- University of Fort Hare
- Rights
- All Rights Reserved
- Rights
- Open Access
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