http://hdl.handle.net/11189/3682 2026-08-16T08:30:13Z 2026-08-16T08:30:13Z Whittles, Kalvin http://hdl.handle.net/11189/6941 2019-04-17T07:34:12Z 2018-01-01T00:00:00Z

Title: Cryptology: A didactical transposition into a grade 10 school mathematics classroom Authors: Whittles, Kalvin Abstract: For an array of activities such as, for example, PIN numbers used in automated transactions, there is vast underlying mathematical machinery that ensures secrecy and security of such activities. Mr. Whittles pursued the issue of making some of this mathematics of coding and decoding cryptology accessible to school pupils. The traditional way of making novel high-level mathematics accessible for the school situation through elementarization is not followed. He argues for and successfully implements a procedure that takes as starting point the historical development of the mathematical topic and the experiences pupils have of this topic. Design principles emanating from the French and Dutch mathematics didactics traditions were used to develop classroom materials. These materials were refined through feed forwarding until the activities were in classroom workable form for meaningful mathematics learning. The major outcome of the study is the representation and description of an avenue to be followed for introducing new content in the school mathematics curriculum. This points in the direction of the need for research-driven curriculum development rather than the current path of curriculum declaration and tinkering. The work is unique in that it is only the second one in the past 25 to 30 years that considers curriculum-making with due respect to the historical development of a domain of mathematics and the experiences pupils have of the domain. Description: Lecture Notes

2018-01-01T00:00:00Z Whittles, Kalvin http://hdl.handle.net/11189/6940 2019-04-15T07:15:36Z 2018-01-01T00:00:00Z

Title: Cryptology: cryptosystem Authors: Whittles, Kalvin Abstract: The topic of Cryptology, although new in the field of mathematics, has been at the forefront of developments in the mathematics arena. It is important to understand how cryptology is constituted and what the role of the cryptosystem within cryptology is. It is argued that the cryptosystem together with the development of different ciphers help to build a better understanding of cryptology. Important for this is to understand how the cryptosystem is constituted within cryptology. The role and position of the cipher key is explored and is further espoused by way of an example using the rule, , as a cipher key.

2018-01-01T00:00:00Z Whittles, Kalvin http://hdl.handle.net/11189/6939 2019-05-23T07:35:05Z 2018-01-01T00:00:00Z

Title: South African teacher application process: the interview. Authors: Whittles, Kalvin Abstract: An important aspect of teacher training is the preparation of teachers for the teacher post application process. Besides the formal application process, shortlisting and interviews form an integral part of this process. The video captures only the interview process where five candidates are interviewed in front of the whole class. The candidates for the interviews and panel members were all students in their final year of study towards a teacher education qualification preparing teachers to teach their specialisation subjects to grade 10 - 12 learners in the Further Education and Training (FET) phase. Although the interview was done with FET students, the video could be useful for all students in teacher training. Description: Video Lecture

2018-01-01T00:00:00Z Nsamenang, A. Bame and Tchombe, Therese M.S. http://hdl.handle.net/11189/6210 2018-02-22T01:00:46Z 2011-01-01T00:00:00Z

Title: Handbook of African Educational Theories and Practices: a Generative Teacher Education Curriculum Authors: Nsamenang, A. Bame and Tchombe, Therese M.S. Abstract: This monumental piece of work, covering nine thematic sections in thirty six intellectually heavy weight chapters, mobilising forty-four contributors from sixteen different countries, breaks new ground in its efforts to address the challenge of kutiwa kasumba that has been Africa's burden since the colonisation of the continent and since its assimilation of western education. Kutiwa kasumba is a Kiswahili term that can best be translated as ‘brainwashing’. It was manifest in the doctrine that pretended that Africa had no history prior to its contact with western explorers. This handbook raises fundamental issues concerning the re-conceptualisation of Education and its goals in the African context. It explores Africa’s philosophical worldviews, sociocultural values, beliefs and practices and suggests ways in which these can be ploughed into educational research and development, curriculum development and pedagogical practices. The discussions and arguments presented on the various chapters do not in any way foreclose debates; instead, they are presented as instigation to further discussion and in-depth analysis. The target audience for this Handbook is education students in African colleges of education and faculties of education. The secondary audience is comparative education students and researchers across the globe.

2011-01-01T00:00:00Z