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
- Authors: Adom, George
- Date: 2020-01
- Subjects: Mathematics -- Study and teaching -- Activity programs , Acalculia in children
- Language: English
- Type: Doctoral theses , text
- Identifier: http://hdl.handle.net/10353/19371 , 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. , Thesis (PhD) -- Faculty of Education, 2020
- Full Text:
- Date Issued: 2020-01
- Authors: Adom, George
- Date: 2020-01
- Subjects: Mathematics -- Study and teaching -- Activity programs , Acalculia in children
- Language: English
- Type: Doctoral theses , text
- Identifier: http://hdl.handle.net/10353/19371 , 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. , Thesis (PhD) -- Faculty of Education, 2020
- Full Text:
- Date Issued: 2020-01
Enablements and constraints of articulation arrangements and agreements between technical and vocational education and training colleges and one Comprehensive University in the Eastern Cape, South Africa
- Mantashe, Lunga Xolisa https://orcid.org/0000-0003-1711-8358
- Authors: Mantashe, Lunga Xolisa https://orcid.org/0000-0003-1711-8358
- Date: 2020-01
- Subjects: Articulation (Education) , Technical education , Vocational education
- Language: English
- Type: Doctoral theses , text
- Identifier: http://hdl.handle.net/10353/21624 , vital:51736
- Description: This study explored enablements and constraints of Articulation Arrangements and Agreements (AAAs) between Technical and Vocational Education and Training Colleges (TVETs) and one Comprehensive University (CU) in the Eastern Cape, South Africa. The constructs of structure, culture, and agency as propounded by Margaret Archer were employed as the theoretical lens of the study. Each of Archer’s constructs is independent and their dynamic interplay has causal influence on whether AAAs are facilitated or hindered. A qualitative single embedded case study design was applied, owing to the interpretivist paradigm the research chose. To this end, seven participants were purposively chosen and interviewed, and two university documents were analyzed, namely the draft University Articulation Guidelines (UAGs) and the university general prospectus. It was found that there were no formal, written, or even verbal TVET-CU agreements. Articulation happened on an ad hoc basis. The change of role-players in the institutional role array played a role in the non-existence and collapse of AAAs. On admissions, challenges included disparate requirements between National Senior Certificate and National Certificate Vocational. Nevertheless, articulation-enabling practices manifested themselves in the credit transfer decisions of participants. However, the Work Integrated Learning (WIL) component of a TVET national diploma programme enjoyed no parity with non-TVET and university cosrordinated experiential learning in some departments. In addition, there were nuanced views over the (inherent) value of WIL which affected its ultimate treatment. Finally, the study found that though TVET-university national diploma programmes were somewhat similar and enabled AAAs, they were still misaligned at the level of design and interface, resulting in duplication of content, waste of time, and state resources. The university also did not have TVET programmes in mind in the design and review of programmes. The researcher deduced a conceptual framework for understanding and explaining how and why TVET-university AAAs succeed or fail. The framework touts the importance of having knowledgeable, articulation- cultured and acculturated leadership and officials (responsible for admissions, credit transfer, and RPL) as crucial for exploiting structural enablements and creatively circumventing inherent structural constraints, including challenging subtle ideas which may wittingly or unwittingly harbor views of TVET programmes as inferior. To this end, it is suggested that there be an establishment of an articulation office to coordinate AAAs that take a form of a hybrid model whereby there would be a combination of multilateral, direct in-house, and franchise TVET-CCU AAAs. The framework should also resolve programme design alignment issues by incorporating CAT and RPL principles, including other articulation instruments during curriculum analysis. RPL should equally be applied in the treatment of TVET WIL. , Thesis (PhD) -- Faculty of Education, 2020
- Full Text:
- Date Issued: 2020-01
- Authors: Mantashe, Lunga Xolisa https://orcid.org/0000-0003-1711-8358
- Date: 2020-01
- Subjects: Articulation (Education) , Technical education , Vocational education
- Language: English
- Type: Doctoral theses , text
- Identifier: http://hdl.handle.net/10353/21624 , vital:51736
- Description: This study explored enablements and constraints of Articulation Arrangements and Agreements (AAAs) between Technical and Vocational Education and Training Colleges (TVETs) and one Comprehensive University (CU) in the Eastern Cape, South Africa. The constructs of structure, culture, and agency as propounded by Margaret Archer were employed as the theoretical lens of the study. Each of Archer’s constructs is independent and their dynamic interplay has causal influence on whether AAAs are facilitated or hindered. A qualitative single embedded case study design was applied, owing to the interpretivist paradigm the research chose. To this end, seven participants were purposively chosen and interviewed, and two university documents were analyzed, namely the draft University Articulation Guidelines (UAGs) and the university general prospectus. It was found that there were no formal, written, or even verbal TVET-CU agreements. Articulation happened on an ad hoc basis. The change of role-players in the institutional role array played a role in the non-existence and collapse of AAAs. On admissions, challenges included disparate requirements between National Senior Certificate and National Certificate Vocational. Nevertheless, articulation-enabling practices manifested themselves in the credit transfer decisions of participants. However, the Work Integrated Learning (WIL) component of a TVET national diploma programme enjoyed no parity with non-TVET and university cosrordinated experiential learning in some departments. In addition, there were nuanced views over the (inherent) value of WIL which affected its ultimate treatment. Finally, the study found that though TVET-university national diploma programmes were somewhat similar and enabled AAAs, they were still misaligned at the level of design and interface, resulting in duplication of content, waste of time, and state resources. The university also did not have TVET programmes in mind in the design and review of programmes. The researcher deduced a conceptual framework for understanding and explaining how and why TVET-university AAAs succeed or fail. The framework touts the importance of having knowledgeable, articulation- cultured and acculturated leadership and officials (responsible for admissions, credit transfer, and RPL) as crucial for exploiting structural enablements and creatively circumventing inherent structural constraints, including challenging subtle ideas which may wittingly or unwittingly harbor views of TVET programmes as inferior. To this end, it is suggested that there be an establishment of an articulation office to coordinate AAAs that take a form of a hybrid model whereby there would be a combination of multilateral, direct in-house, and franchise TVET-CCU AAAs. The framework should also resolve programme design alignment issues by incorporating CAT and RPL principles, including other articulation instruments during curriculum analysis. RPL should equally be applied in the treatment of TVET WIL. , Thesis (PhD) -- Faculty of Education, 2020
- Full Text:
- Date Issued: 2020-01
- «
- ‹
- 1
- ›
- »