The nature of modern mathematics: inaugural lecture delivered at Rhodes University
- Authors: Abrahamson, B
- Date: 1959
- Subjects: Mathematics
- Language: English
- Type: Text
- Identifier: vital:591 , http://hdl.handle.net/10962/d1020660
- Description: Inaugural lecture delivered at Rhodes University , Rhodes University Libraries (Digitisation) iiidc:provenance
- Full Text:
- Date Issued: 1959
- Authors: Abrahamson, B
- Date: 1959
- Subjects: Mathematics
- Language: English
- Type: Text
- Identifier: vital:591 , http://hdl.handle.net/10962/d1020660
- Description: Inaugural lecture delivered at Rhodes University , Rhodes University Libraries (Digitisation) iiidc:provenance
- Full Text:
- Date Issued: 1959
NUMERICAL SCHEME BASED ON INTERPOLATION FUNCTION FOR SOLVING STIFF DIFFERENTIAL EQUATIONS
- Authors: Adgei Fosu
- Date: 2019
- Subjects: Mathematics
- Language: English
- Identifier: http://hdl.handle.net/11260/1933 , vital:38902
- Full Text:
- Authors: Adgei Fosu
- Date: 2019
- Subjects: Mathematics
- Language: English
- Identifier: http://hdl.handle.net/11260/1933 , vital:38902
- Full Text:
NUMERICAL SCHEME BASED ON INTERPOLATION FUNCTION FOR SOLVING STIFF DIFFERENTIAL EQUATIONS
- Authors: Adgei Fosu
- Date: 2019
- Subjects: Mathematics
- Language: English
- Identifier: http://hdl.handle.net/11260/1925 , vital:38901 , Consistence, convergence, region of absolute stability, stiff ordinary differential equations
- Full Text:
- Authors: Adgei Fosu
- Date: 2019
- Subjects: Mathematics
- Language: English
- Identifier: http://hdl.handle.net/11260/1925 , vital:38901 , Consistence, convergence, region of absolute stability, stiff ordinary differential equations
- Full Text:
An intervention for enhancing the mathematics teaching practices of grade four teachers in the Nelson Mandela Metropolitan area
- Authors: Botha, Adele
- Date: 2011
- Subjects: Mathematics -- Study and teaching , Mathematics , Mathematics -- Handbooks, manuals, etc , Mathematics teachers
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:9499 , http://hdl.handle.net/10948/d1008176 , Mathematics -- Study and teaching , Mathematics , Mathematics -- Handbooks, manuals, etc , Mathematics teachers
- Description: Mathematics is regarded as a driving force in economies worldwide. The performance of South African learners in mathematics over the past decade has highlighted that problems are being experienced across all grades. This situation needs to be addressed with urgency. The South African Department of Education stated that quality learning must be the objective for all grades. The implementation of good teaching practices plays a crucial role in improving the quality of education and in guiding learners towards quality learning. To achieve quality mathematics teaching and learning it is imperative to determine what good mathematics teaching practices are. The identification of good mathematic teaching practices will provide a yard stick to measure the mathematics teaching competency of teachers. This study identifies a set of good mathematics teaching practice indicators and evidences applicable to teachers in the Intermediate phase as a first contribution. These indicators and evidences frame the second research contribution: an assessment instrument entitled “A Classroom Observation Tool for Observing Mathematics Teaching Practices in Primary Schools”. As a third research contribution a generic profile of a Grade four mathematics teacher has been built. This generic profile has been built through an analysis of data gathered by means of self-assessment questionnaires completed by the research sample, as well as through applying the observation tool. The value of the generic profile lies in the identification of shared strengths and shared improvement opportunities in the mathematics teaching practice of the sample and as such, it forms the basis of a theory on Grade four mathematics teaching practice. The fourth research contribution is the design and application of an intervention that addresses the shared improvement opportunities. The research study concludes by comparing pre-intervention classroom observation data with post-intervention classroom observation data and reporting on the impact of the intervention.
- Full Text:
- Date Issued: 2011
- Authors: Botha, Adele
- Date: 2011
- Subjects: Mathematics -- Study and teaching , Mathematics , Mathematics -- Handbooks, manuals, etc , Mathematics teachers
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:9499 , http://hdl.handle.net/10948/d1008176 , Mathematics -- Study and teaching , Mathematics , Mathematics -- Handbooks, manuals, etc , Mathematics teachers
- Description: Mathematics is regarded as a driving force in economies worldwide. The performance of South African learners in mathematics over the past decade has highlighted that problems are being experienced across all grades. This situation needs to be addressed with urgency. The South African Department of Education stated that quality learning must be the objective for all grades. The implementation of good teaching practices plays a crucial role in improving the quality of education and in guiding learners towards quality learning. To achieve quality mathematics teaching and learning it is imperative to determine what good mathematics teaching practices are. The identification of good mathematic teaching practices will provide a yard stick to measure the mathematics teaching competency of teachers. This study identifies a set of good mathematics teaching practice indicators and evidences applicable to teachers in the Intermediate phase as a first contribution. These indicators and evidences frame the second research contribution: an assessment instrument entitled “A Classroom Observation Tool for Observing Mathematics Teaching Practices in Primary Schools”. As a third research contribution a generic profile of a Grade four mathematics teacher has been built. This generic profile has been built through an analysis of data gathered by means of self-assessment questionnaires completed by the research sample, as well as through applying the observation tool. The value of the generic profile lies in the identification of shared strengths and shared improvement opportunities in the mathematics teaching practice of the sample and as such, it forms the basis of a theory on Grade four mathematics teaching practice. The fourth research contribution is the design and application of an intervention that addresses the shared improvement opportunities. The research study concludes by comparing pre-intervention classroom observation data with post-intervention classroom observation data and reporting on the impact of the intervention.
- Full Text:
- Date Issued: 2011
Real analysis (Mathematics 2): MAT 224
- Authors: Makamba, B B , Ndiweni, O
- Date: 2010-11
- Subjects: Mathematics
- Language: English
- Type: Examination paper
- Identifier: vital:17627 , http://hdl.handle.net/10353/d1010004
- Description: Real analysis (Mathematics 2): MAT 224, degree examinations November 2010.
- Full Text: false
- Date Issued: 2010-11
- Authors: Makamba, B B , Ndiweni, O
- Date: 2010-11
- Subjects: Mathematics
- Language: English
- Type: Examination paper
- Identifier: vital:17627 , http://hdl.handle.net/10353/d1010004
- Description: Real analysis (Mathematics 2): MAT 224, degree examinations November 2010.
- Full Text: false
- Date Issued: 2010-11
Reflections of a Mathematician
- Authors: Mishra, S N
- Date: 2010
- Subjects: Mathematics
- Language: English
- Type: text , Lectures
- Identifier: http://hdl.handle.net/11260/758 , vital:29750
- Description: In this lecture, an attempt is made to convey in a broad sense about mathematics and its applications and the impact it has made outside its own domain. While doing so, we try to dispel the belief (held in certain quarters) that there are two types of mathematics, namely useful mathematics and not so useful mathematics. An attempt is also made to reflect on the role of mathematics in industry along with the challenges of teaching of mathematics in the current environment.
- Full Text:
- Date Issued: 2010
- Authors: Mishra, S N
- Date: 2010
- Subjects: Mathematics
- Language: English
- Type: text , Lectures
- Identifier: http://hdl.handle.net/11260/758 , vital:29750
- Description: In this lecture, an attempt is made to convey in a broad sense about mathematics and its applications and the impact it has made outside its own domain. While doing so, we try to dispel the belief (held in certain quarters) that there are two types of mathematics, namely useful mathematics and not so useful mathematics. An attempt is also made to reflect on the role of mathematics in industry along with the challenges of teaching of mathematics in the current environment.
- Full Text:
- Date Issued: 2010
A Practical Approach to Differential Calculus: MAT 112
- Authors: Ndiweni, O , Mahlasela, Z
- Date: 2011-06
- Subjects: Mathematics
- Language: English
- Type: Examination paper
- Identifier: vital:17600 , http://hdl.handle.net/10353/d1009974
- Description: A Practical Approach to Differential Calculus: MAT 112, degree examinations June 2011.
- Full Text: false
- Date Issued: 2011-06
- Authors: Ndiweni, O , Mahlasela, Z
- Date: 2011-06
- Subjects: Mathematics
- Language: English
- Type: Examination paper
- Identifier: vital:17600 , http://hdl.handle.net/10353/d1009974
- Description: A Practical Approach to Differential Calculus: MAT 112, degree examinations June 2011.
- Full Text: false
- Date Issued: 2011-06
A probability operator
- Authors: Sinclair, Allan M
- Date: 1965
- Subjects: Mathematics , Probabilities
- Language: English
- Type: Thesis , Masters , MSc
- Identifier: vital:5423 , http://hdl.handle.net/10962/d1007702 , Mathematics , Probabilities
- Description: From Introduction: In probability theory it is often convenient to represent laws by characteristic functions, these being particularly suited to classical analysis. Trotter has suggest ted that probability laws can also be represented by probability operators. These operators are easily handled since they are continuous, and hence bounded, positive linear operators on a normed linear space. This representation arises because distribution functions and their complete convergence correspond to probability operators and their complete convergence. Hence the relations between distribution functions and probability operators will be discussed before the introduction of probability laws.
- Full Text:
- Date Issued: 1965
- Authors: Sinclair, Allan M
- Date: 1965
- Subjects: Mathematics , Probabilities
- Language: English
- Type: Thesis , Masters , MSc
- Identifier: vital:5423 , http://hdl.handle.net/10962/d1007702 , Mathematics , Probabilities
- Description: From Introduction: In probability theory it is often convenient to represent laws by characteristic functions, these being particularly suited to classical analysis. Trotter has suggest ted that probability laws can also be represented by probability operators. These operators are easily handled since they are continuous, and hence bounded, positive linear operators on a normed linear space. This representation arises because distribution functions and their complete convergence correspond to probability operators and their complete convergence. Hence the relations between distribution functions and probability operators will be discussed before the introduction of probability laws.
- Full Text:
- Date Issued: 1965
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