Learners' numeracy progression and the role of mediation in the context of two after school mathematics clubs
- Authors: Stott, Deborah Ann
- Date: 2015
- Subjects: Mathematics -- Study and teaching (Elementary) -- South Africa , After-school programs -- South Africa , Numeracy -- Study and teaching (Elementary) -- South Africa , Learning, Psychology of , Education -- Research -- South Africa
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:2017 , http://hdl.handle.net/10962/d1017181
- Description: National and international assessment results, research studies and reports point to South Africa as having educational challenges, specifically with mathematics, science and language. Addressing some of these issues is a key aim for the SANC project at Rhodes University, the context in which this study takes place. Working from a broad Vygotskian perspective of learning and development, this study had a dual focus and investigated how Grade 3 learners’ mathematical proficiency progressed (or not) whilst participating in after school maths clubs over the course of a year, and explored how the mediation offered in the clubs enabled or constrained the emergence of zones of proximal development (ZPD) and thus learning for the club learners. Methodologically, this study works within a largely qualitative, interpretive research paradigm and is designed using a longitudinal case study research strategy. Two after school maths clubs formed the empirical field. The study drew on a range of data collection methods to investigate the dual nature of the research questions for Grade 3 learners. Examples include adapted one-to-one mathematical proficiency interviews and paired task based interviews. The study highlighted the relationship between the multiple roles I played both within the research study and within the SANC project context and emphasises the influence and future implications for these various roles within the SANC project and beyond in terms of my own role as club mentor, for the future design of the SANC project maths club programme and for broader teacher and club facilitator development within and beyond the project. This study has offered insight into how mathematical proficiency may develop in Grade 3 South African learners and as such is an important contribution to the newly developing field of both numeracy and primary educational research in Southern Africa. Additionally, the research findings point to the clubs, as an example of an out-of-school time (OST) programme, providing potentially enabling spaces for both recovery and extension of mathematical proficiency in learners as these spaces are free from several contextual constraints that teachers face in their classrooms. Furthermore, it was found that learners showed development of their conceptual understanding, procedural fluency and adaptive reasoning as proposed by Kilpatrick, Swafford and Findell (2001). The use of various elements of the Maths Recovery (MR) programme (Wright, 2003) in the research process has highlighted various important contributions for broader research. For example, the need to investigate less time consuming approaches to both diagnostic assessment and learner mathematical profiling. Findings from this study support Meira and Lerman’s (2001, 2009) recently developed notion that catching attention is key to the creation or emergence of a ZPD. The study found that a combination of ‘attention catching’ and ‘tuning in’ enabled the creation (emergence) and sustainment of ZPDs in club learners. The study proposed the notion of tuning in where participants in a mathematical interaction continually adjust to each other in order to communicate mathematically. Furthermore, the study found that when attention is not caught or the participants are not tuned in, the learning activity may still be useful in assisting learners to consolidate their existing learning and / or build confidence and as such is particularly relevant to the South African context where fluency in calculating is weak (Hoadley, 2012; Schollar, 2008). This emergent notion of ‘flow’ additionally can play a supporting role in the emergence of a ZPD. The study also found that the manner in which the mediation was offered is important. The results show that the mathematical contributions learners make during interactions captured the mentors’ attention and resulted in mediation that was intentional but spontaneous, flexible, responsive and in-the-moment. This study makes theoretical and methodological contributions to various aspects of mathematics education research particularly with regard to how ZPDs emerge and are sustained and how mediation is offered to facilitate the emergence of ZPDs. Additionally, some aspects of the Learning Framework in Number (LFIN) as part of the Maths Recovery programme have been extended to work in a South African after school club context and to provide useful information for both learner progression over time and for planning of club activities. As such this study thus also contributes to the newly developing field of primary mathematics research in South Africa and to the body of research on primary after school learning programmes both locally and internationally.
- Full Text:
- Date Issued: 2015
- Authors: Stott, Deborah Ann
- Date: 2015
- Subjects: Mathematics -- Study and teaching (Elementary) -- South Africa , After-school programs -- South Africa , Numeracy -- Study and teaching (Elementary) -- South Africa , Learning, Psychology of , Education -- Research -- South Africa
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:2017 , http://hdl.handle.net/10962/d1017181
- Description: National and international assessment results, research studies and reports point to South Africa as having educational challenges, specifically with mathematics, science and language. Addressing some of these issues is a key aim for the SANC project at Rhodes University, the context in which this study takes place. Working from a broad Vygotskian perspective of learning and development, this study had a dual focus and investigated how Grade 3 learners’ mathematical proficiency progressed (or not) whilst participating in after school maths clubs over the course of a year, and explored how the mediation offered in the clubs enabled or constrained the emergence of zones of proximal development (ZPD) and thus learning for the club learners. Methodologically, this study works within a largely qualitative, interpretive research paradigm and is designed using a longitudinal case study research strategy. Two after school maths clubs formed the empirical field. The study drew on a range of data collection methods to investigate the dual nature of the research questions for Grade 3 learners. Examples include adapted one-to-one mathematical proficiency interviews and paired task based interviews. The study highlighted the relationship between the multiple roles I played both within the research study and within the SANC project context and emphasises the influence and future implications for these various roles within the SANC project and beyond in terms of my own role as club mentor, for the future design of the SANC project maths club programme and for broader teacher and club facilitator development within and beyond the project. This study has offered insight into how mathematical proficiency may develop in Grade 3 South African learners and as such is an important contribution to the newly developing field of both numeracy and primary educational research in Southern Africa. Additionally, the research findings point to the clubs, as an example of an out-of-school time (OST) programme, providing potentially enabling spaces for both recovery and extension of mathematical proficiency in learners as these spaces are free from several contextual constraints that teachers face in their classrooms. Furthermore, it was found that learners showed development of their conceptual understanding, procedural fluency and adaptive reasoning as proposed by Kilpatrick, Swafford and Findell (2001). The use of various elements of the Maths Recovery (MR) programme (Wright, 2003) in the research process has highlighted various important contributions for broader research. For example, the need to investigate less time consuming approaches to both diagnostic assessment and learner mathematical profiling. Findings from this study support Meira and Lerman’s (2001, 2009) recently developed notion that catching attention is key to the creation or emergence of a ZPD. The study found that a combination of ‘attention catching’ and ‘tuning in’ enabled the creation (emergence) and sustainment of ZPDs in club learners. The study proposed the notion of tuning in where participants in a mathematical interaction continually adjust to each other in order to communicate mathematically. Furthermore, the study found that when attention is not caught or the participants are not tuned in, the learning activity may still be useful in assisting learners to consolidate their existing learning and / or build confidence and as such is particularly relevant to the South African context where fluency in calculating is weak (Hoadley, 2012; Schollar, 2008). This emergent notion of ‘flow’ additionally can play a supporting role in the emergence of a ZPD. The study also found that the manner in which the mediation was offered is important. The results show that the mathematical contributions learners make during interactions captured the mentors’ attention and resulted in mediation that was intentional but spontaneous, flexible, responsive and in-the-moment. This study makes theoretical and methodological contributions to various aspects of mathematics education research particularly with regard to how ZPDs emerge and are sustained and how mediation is offered to facilitate the emergence of ZPDs. Additionally, some aspects of the Learning Framework in Number (LFIN) as part of the Maths Recovery programme have been extended to work in a South African after school club context and to provide useful information for both learner progression over time and for planning of club activities. As such this study thus also contributes to the newly developing field of primary mathematics research in South Africa and to the body of research on primary after school learning programmes both locally and internationally.
- Full Text:
- Date Issued: 2015
A framework for evaluating instructional design models resulting in a model for designing and developing computer based learning tools with GIS technologies
- Authors: Stott, Deborah Ann
- Date: 2005
- Subjects: Computer-assisted instruction Geographic information systems Education, Secondary -- Computer network resources Educational innovations
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1548 , http://hdl.handle.net/10962/d1003430
- Description: With the increasing pressures and concerns in education regarding capability, lifelong learning, higher order cognitive skills, transdisciplinary education and so on, educators are seeking fresh ways to teach and new tools to support that teaching. In South Africa, Outcomes Based Education (OBE) has identified critical outcomes (skills) across all subject areas such as problem solving, teamwork, fostering critical thinking etc. as a way of responding to these pressures and concerns. But OBE has been criticised for lacking the necessary tools to develop these critical skills and to promote cross-discipline learning. One innovative way of offering transformative teaching, instruction and learning that may foster the development of these critical skills, particularly those concerned with critical thinking, is by using geographic information systems (GIS) technologies. The scope for using these technologies in secondary education is now being realised for teaching the more generic, cross-discipline skills described whereby students are learning not only about GIS but also with GIS. This realisation provides the opportunity to create flexible, computer-based learning materials that are rooted in authentic, real-world contexts, which aim to enhance the cognitive skills of the students. If these technologies can be used in an innovative way to develop critical outcomes and skills, a model needs to be defined to aid the design and development of learning materials using these technologies for use in schools. The primary aim of this study has been to develop such a model; a model which emphasises the development of real-world learning materials that develop higher-order thinking skills in learners. Another key product of this study is the submission of a comprehensive yet flexible framework for evaluating instructional design models found in the educational literature in order to determine if these design models can be used to develop learning materials forparticular contexts.
- Full Text:
- Date Issued: 2005
- Authors: Stott, Deborah Ann
- Date: 2005
- Subjects: Computer-assisted instruction Geographic information systems Education, Secondary -- Computer network resources Educational innovations
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1548 , http://hdl.handle.net/10962/d1003430
- Description: With the increasing pressures and concerns in education regarding capability, lifelong learning, higher order cognitive skills, transdisciplinary education and so on, educators are seeking fresh ways to teach and new tools to support that teaching. In South Africa, Outcomes Based Education (OBE) has identified critical outcomes (skills) across all subject areas such as problem solving, teamwork, fostering critical thinking etc. as a way of responding to these pressures and concerns. But OBE has been criticised for lacking the necessary tools to develop these critical skills and to promote cross-discipline learning. One innovative way of offering transformative teaching, instruction and learning that may foster the development of these critical skills, particularly those concerned with critical thinking, is by using geographic information systems (GIS) technologies. The scope for using these technologies in secondary education is now being realised for teaching the more generic, cross-discipline skills described whereby students are learning not only about GIS but also with GIS. This realisation provides the opportunity to create flexible, computer-based learning materials that are rooted in authentic, real-world contexts, which aim to enhance the cognitive skills of the students. If these technologies can be used in an innovative way to develop critical outcomes and skills, a model needs to be defined to aid the design and development of learning materials using these technologies for use in schools. The primary aim of this study has been to develop such a model; a model which emphasises the development of real-world learning materials that develop higher-order thinking skills in learners. Another key product of this study is the submission of a comprehensive yet flexible framework for evaluating instructional design models found in the educational literature in order to determine if these design models can be used to develop learning materials forparticular contexts.
- Full Text:
- Date Issued: 2005
- «
- ‹
- 1
- ›
- »