An investigation into an afterschool intervention programme aimed at improving learners' mental computation skills
- Authors: Moyo, Kwethemba Michael
- Date: 2015
- Subjects: After-school programs -- Namibia , Mental arithmetic , Mental arithmetic -- Study and teaching (Secondary) , Mental arithmetic -- Study and teaching (Secondary) -- Activity programs , Mathematical ability
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2041 , http://hdl.handle.net/10962/d1017352
- Description: This case study centres round an afterschool intervention programme aimed at enhancing mental computation skills of Grade 8 learners at a secondary school in the Erongo educational region of Namibia. Nine research participants took part in the study, and the mental computational strategies exhibited by these participants constitutes the unit of analysis. The study is anchored within an interpretive paradigm and is theoretically underpinned by constructivist epistemology. Kilpatrick, Swafford and Findell’s (2001) model of mathematical proficiency provides the conceptual framework supporting the study. The research was carried out in four sequential phases – an initial pre-test, the intervention itself, a follow-up post-test, and a focus group discussion. The study highlights the underdevelopment of mental computation skills and the associated lack of appropriate mental computational strategies in secondary school learners. It is recommended that appropriate time within the school curriculum be allocated for the development of learners’ mental computation skills.
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Investigating how a peer teaching programme could shape the mathematical experience of the participating tutors
- Authors: Lubasi, Justin Mwandamena
- Date: 2015
- Subjects: Mathematics -- Study and teaching (Secondary) , Peer teaching , Mathematical ability
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2039 , http://hdl.handle.net/10962/d1017350
- Description: This case study, involving six Grade 10 learners, investigates how a peer tutoring programme could shape the mathematical experience and disposition of the participating tutors. The study is grounded in an interpretive paradigm and data was collected in four sequential phases. The Mathematics Dispositional Functions Inventory (MDFI) instrument was completed by the tutors prior to commencement of the tutoring programme. The tutoring sessions then took place over a three week period during which time each tutor kept a reflective journal. Semi-structured interviews were then conducted, after which each tutor completed the MDFI instrument again in order to track any potential changes in their mathematical disposition. The study found that the participating tutors showed an improved mathematics disposition after the peer tutoring experience. Not only was the peer tutoring programme an empowering experience for the tutors, it also had a positive influence on both the tutors’ self-confidence as well as their perceived mathematical ability.
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Teaching for conceptual understanding : an analysis of selected teachers' practice
- Authors: Kashima, Andreas Akwenye
- Date: 2015
- Subjects: Teacher effectiveness -- Namibia , Student-centered learning -- Namibia , Constructivism (Education) -- Namibia , Problem solving , Teachers -- In-service training -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2037 , http://hdl.handle.net/10962/d1017348
- Description: The purpose of this study was to explore how teachers’ practice either supports or constrains learners’ conceptual understanding. The study is structured within an interpretive paradigm. The research takes the form of a case study and focused on the teaching practice of two purposefully selected teachers who had been identified as being effective/successful practitioners. The data was collected in two stages. In the first stage, qualitative data was collected by video recording six classroom lessons, three for each of the two participating teachers. In stage 2, participating teachers were individually interviewed. In these interviews the two participating teachers were asked to reflect on their classroom practice, through a process of stimulated recall, where their actions seemed to either support or constrain the development of learners’ conceptual understanding. The study identified a number of elements of the two teachers’ practice that related to the development of learners’ conceptual understanding in the classroom. These include building on learners’ prior knowledge, the use of concrete manipulatives, questioning that promotes critical thinking, and the use of multiple representations and connections. The study also identified elements of the two teachers’ practice that had the potential to constrain the development of learners’ conceptual understanding. These include the lack of opportunities for co-operative or peer-oriented learning, the absence of questioning that leads to discussion, and a scarcity of activities that build mathematical concepts through hands-on engagement. The study highlights the need for supporting teachers and helping them strengthen their practice with regard to those activities that support the development of conceptual understanding in their learners.
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