A study was undertaken to explore what constitutes instructional capacity in the teaching and learning of mathematics (TLM), with a focus on how schools (as institutions of teaching and learning) integrate resources for a particular configuration of capacity to promote high achievement levels of Grade 12 students in mathematics. Data were collected in ten public secondary schools, mostly in a disadvantaged context, in the Vhembe District in Limpopo Province, South Africa. The study explores strategies for constructing, organising and replenishing instructional capacity in TLM. Five low- and five high-performing schools were selected, based on the pass rate in mathematics in high stakes examinations. The researcher observed lessons and interviewed ten Grade 12 mathematics teachers, ten principals, five curriculum advisors and a sample of forty Grade 12 mathematics students. The research revealed that the capacity to encourage the new curriculum reform practices in TLM within different schools is often inadequate, and largely fails to compensate for organisational effects and arrangements that shape the capacity to create quality instruction in mathematics. However, high-performing schools were somewhat ahead of low-performing schools in terms of encouraging reform-oriented teaching and learning in mathematics. Recommendations include: Principals should initiate the development and implementation of a school-based clinical supervision programme through collaborative decision-making to promote a sense of ownership by all mathematics teachers. Such a supervision programme would enhance commitment and ensure that all efforts are unified towards improving the quality of TLM. There is a need for the DoE in Limpopo Province to coordinate teacher professional development workshops, where effective practising mathematics teachers model how they teach mathematics in the classroom, while other teachers observe. Context-based strategies to enhance student outcomes in mathematics should be devised, such as modelling good practice by effective teachers in terms of: lesson preparation; subject knowledge; pedagogic approach; assessment and monitoring of classroom practice, including direct observation of teaching by HoDs and principals. It is proposed that attention to these issues, amongst others, would limit the impact of an unpromising context on student achievement levels in mathematics in high stakes examinations in the Vhembe District and elsewhere. / Mathematics Education / D. Phil. (Mathematics, Science and Technology Education)

A study was undertaken to explore what constitutes instructional capacity in the teaching and learning of mathematics (TLM), with a focus on how schools (as institutions of teaching and learning) integrate resources for a particular configuration of capacity to promote high achievement levels of Grade 12 students in mathematics. Data were collected in ten public secondary schools, mostly in a disadvantaged context, in the Vhembe District in Limpopo Province, South Africa. The study explores strategies for constructing, organising and replenishing instructional capacity in TLM. Five low- and five high-performing schools were selected, based on the pass rate in mathematics in high stakes examinations. The researcher observed lessons and interviewed ten Grade 12 mathematics teachers, ten principals, five curriculum advisors and a sample of forty Grade 12 mathematics students. The research revealed that the capacity to encourage the new curriculum reform practices in TLM within different schools is often inadequate, and largely fails to compensate for organisational effects and arrangements that shape the capacity to create quality instruction in mathematics. However, high-performing schools were somewhat ahead of low-performing schools in terms of encouraging reform-oriented teaching and learning in mathematics. Recommendations include: Principals should initiate the development and implementation of a school-based clinical supervision programme through collaborative decision-making to promote a sense of ownership by all mathematics teachers. Such a supervision programme would enhance commitment and ensure that all efforts are unified towards improving the quality of TLM. There is a need for the DoE in Limpopo Province to coordinate teacher professional development workshops, where effective practising mathematics teachers model how they teach mathematics in the classroom, while other teachers observe. Context-based strategies to enhance student outcomes in mathematics should be devised, such as modelling good practice by effective teachers in terms of: lesson preparation; subject knowledge; pedagogic approach; assessment and monitoring of classroom practice, including direct observation of teaching by HoDs and principals. It is proposed that attention to these issues, amongst others, would limit the impact of an unpromising context on student achievement levels in mathematics in high stakes examinations in the Vhembe District and elsewhere. / Mathematics Education / D. Phil. (Mathematics, Science and Technology Education)