Mathematics and physical science choices made by pupils in selected Eastern Cape high schools: an investigation into the factors influencing the different choice patterns of boys and girls
- Authors: Ilsley, Jeffrey Robert
- Date: 1988
- Subjects: Sex differences in education -- South Africa Education, Secondary -- Curricula -- South Africa Mathematics -- Study and teaching (Secondary) -- South Africa Physical sciences -- Study and teaching (Secondary) -- South Africa Mathematics -- Study and teaching -- Psychological aspects Physical sciences -- Study and teaching -- Psychological aspects
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:1869 , http://hdl.handle.net/10962/d1004750
- Description: The disparate numbers of boys and girls who elect to continue with mathemalics and/or physical science in the higher slandards of the school system has recently attracted much research atlention and the complexity of the interrelaledness of causal factors has become obvious. The broad aim of the study was to investigale the significant drop-out rate of girls at the end of the junior secondary phase of education (approximate age of fourteen lo fifteen). This was to be carried out for mathematics and physical science and undertaken using a cross-sectional and a longitudinal study. The cross-sectional study entailed administering mathematics and physical science attitude questionnaires to 3531 standard six, seven and eight pupils from 4 co-educational, 2 allgirls' and 2 all-boys' schools, from middle and upper socioeconomic communities with similar language and cultural backgrounds . The longitudinal study involved pupils from two coeducational schools and one all-girls' school. It was a progressively-focused study starting with questionnaires administered to 358 standard six girls and boys, narrowing down to questionnaires and interviews used with 50 girls and 28 boys in standard seven and finally to interviews with 10 girls from standard eight. The parents of these ten girls were interviewed at the end of the study. The attilude questionnaires yielded strong sex differences which favoured the boys in both subjects for all the attitudes measured and also pointed to a progressive deterioralion of altitudes over the three-standard span. They also established significant differences in attitudes which favoured the pupils from Single-sex schools. It was further concluded that the girls were more strongly guided by their attitudes when making their subject-choice decisions. In the longitudinal study, reasons were suggested for pupils either taking or dropping mathematics and physical science. The introduction of algebra in the first year of high school presented a problem to pupils. In physical science, electricity was singled out as giving the subject a male bias. Socialization influences in the home were the main issue dealt with from the parent interviews . Sex-roles and stereotypes were dealt with in depth. Recommendations were made involving classroom strategies, curriculum possibilities, school policies and further research
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Sequence in the mathematics syllabus : an investigation of the Senior Secondary Mathematics Syllabus (July 1984) of the Cape Education Department attempting to reconcile the demands of the strictly mathematical order and the developmental needs of pupils, modified by the mathematical potential of the electronic calculator : some teaching strategies resulting from new influences in the syllabus
- Authors: Breetzke, Peter Roland
- Date: 1988
- Subjects: Mathematics -- Study and teaching (Secondary) -- South Africa , Calculators , Mathematics -- South Africa -- Outlines, syllabi, etc.
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1364 , http://hdl.handle.net/10962/d1001430
- Description: This study was motivated by the latest revision of the mathematics syllabuses of the Cape Education Department. The most important changes to content in the Senior Secondary Mathematics Syllabus (July 1984) are the introduction of calculus and linear programming, the substitution of a section on analytical geometry for vector algebra and the recall of the remainder and factor theorems. The way in which these changes were introduced left the task of integrating them into the teaching process in the hands of individual teachers. This is a task of extreme importance. If one's classroom practice is to simply plough one's way through the syllabus, one loses many opportunities to make the study of mathematics meaningful and worthwhile. Accepting the view of the spiral nature of the curriculum where one returns to concepts and procedures at increasing levels of sophistication, one needs to identify the position of topics in this spiral and to trace their conceptual foundations. Analytical geometry is in particular need of this treatment. Similarly there are many opportunities for preparing for the introduction of calculus. If the teaching of calculus is left until the last moments of the Standard 10 year without proper groundwork, the pupil will be left with little time to develop an understanding of the concepts involved. It is the advent of calculators which presents the greatest challenge to mathematics education. We ignore this challenge to the detriment of our teaching. Taken seriously calculators have the potential to exert a radical influence on the content of curricula and examinations. They bring into question the time we spend on teaching arithmetic algorithms and the priority given to algebraic manipulation. Numercial methods gain new prominence. Calculators can even breathe new life into the existing curriculum. Their computing power can be harnessed not only to carry out specific calculations but also to introduce new topics and for concept reinforcement. The purpose of this study has been to bring about a proper integration of the new sections into the existing syllabus and to give some instances of how the calculator can become an integral part of the teaching/learning process
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A preliminary investigation into the use of computers in the teaching of mathematics
- Authors: Van Hille, Gilles Ernst Willem
- Date: 1986
- Subjects: Mathematics -- Computer-assisted instruction Mathematics -- Study and teaching (Secondary) -- Data processing Mathematics -- Study and teaching -- South Africa
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1844 , http://hdl.handle.net/10962/d1004382
- Description: Like many South African high school mathematics teachers I have followed the development of computers with interest and I have tried wherever possible to gain some experience on them. Thus when microcomputers became more readily available the mathematics department at our school, Graeme College in Grahamstown, motivated for the school to acquire this powerful new tool. The eventual outcome was that the Old Boys' Association donated to the school 3 BBC B microcomputers with monitors, a disc drive, a printer and two tape recorders. These have now been in the school for three years. The acquisition prompted this research project which takes the following form:- 1) An investigation into some of the uses of microcomputers in schools and, in particular, in the mathematics classroom. 2) A statement on the present position adopted by the Cape Education Department on the use of computers in schools. 3) A study of what the experience has been in other countries, particularly in Britain and the United States of America. 4) A description of an investigation which was undertaken at our school using the method of Action Research and Triangulation. Its aim was to investigate the feasibility of using a microcomputer to aid in the teaching of mathematics and the reaction of the pupils to this innovation. Three different approaches were implemented. a) The algorithmic approach: In this investigation a class of standard eight pupils were required, with the help of the teacher, to write, enter and test a short computer program which would solve any pair of simultaneous linear equations of the form, ax + by = c. Their reaction to this form of instruction was noted by myself and a non-participant observer. The pupils themselves were also asked to express their reactions, both verbally and by filling in a prepared questionnaire. Examples of worksheets, exam questions and analysed questionnaires are given in the appendix. Short programs which examine various other mathematical concepts are also listed and discussed. b) The audio-visual approach: In this case use was made of a graphs software package in which the computer would draw either a straight line, circle, parabola or hyperbola when the appropriate variables were entered. This package also includes a graph game facility where participants are required to find the equation of the graph which will pass through three given points. Points are awarded if the correct type of graph is chosen and the variables are entered within a certain time interval. The pupils involved in this investigation were standard eight higher grade mathematics pupils and their reaction to this form of instruction was again noted using the methods described in (a) above. c) Computer Aided Instruction: Here I was most fortunate to be able to make use of the Rhodes University PLATO Centre. This allowed me to take a class of eighteen standard eight higher grade mathematics pupils to the Centre. Here during four sessions, each of just over an hour, the pupils interacted with the software on the computer terminal. The software used was a set of five lessons written by Barbara Lederman of the Community College Maths Group, of the University of Illinois in 1976. The lessons give instruction and require the pupils to transform, plot and draw the graphs of linear equations of the form, ax + by + c = 0, x = c and y = b. They are also taught and required to find the equations of given straight lines. Their reactions to this form of instruction are discussed after each session. 5) In conclusion some thoughts are given on how computers can best be utilised in the school situation, with particular reference to the teaching of mathematics.
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An investigation into the possible causes of the difference between the boys' and girls' drop-out rate in mathematics at the end of the junior secondary phase of education
- Authors: Oberholster, E J
- Date: 1986
- Subjects: Mathematical ability , Gender , Mathematics teaching , Drop-out rate , Junior secondary
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: vital:1351 , http://hdl.handle.net/10962/d1001417
- Description: In the past two decades much research in the field of Mathematics in Education has dealt with boy- girl differences. In the 1960's sex differences in mathematical achievement played an important role in research. The results of more recent and better controlled studies seem to indicate that overall boy-girl differences in mathematical achievement are probably negligible at the Primary stage and exist at the Secondary stage principally in areas involving spatial visualization and problem solving.
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Conceptual difficulties in children's understanding of secondary school algebra in standards 6, 7, and 8 : (the application of the CSMS algebra test to a sample of South African school children)
- Authors: McMaster, David Jocelyn
- Date: 1986
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1355 , http://hdl.handle.net/10962/d1001421
- Description: The application of mathematical ways of thinking to nearly all the major fields of knowledge in recent times has increased the value of mathematics in society ... schools, therefore, are increasingly confronted with the task of developing to the maximum the mathematical abilities and interests of all its pupils with the view of meeting the needs of society. This includes an appreciation and understanding of the aesthetic and abstract qualities of mathematics as well as a knowledge of its utilitarian value in society. The question arises whether schools are achieving this? (Chapter 1, p. 3)
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An investigation into the problems related to the adjustment of beginning-teachers leading to the development of an induction programme
- Authors: Algie, Rowan Craig
- Date: 1983
- Subjects: Teachers, Probationary -- South Africa Teaching -- South Africa
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1411 , http://hdl.handle.net/10962/d1003074
- Description: There is little doubt that there is a widespread concern that the transition from the supportive environment of the training institution where mistakes are expected, self criticism is encouraged and both tutorial guidance and peer group friendship are readily available into a situation where professional and personal responsibilities are profoundly altered, where the methods used, the progress of the pupils, their parents' expectations, the working relationship with colleagues are now permanent responsibilities. This transition can be traumatic for some and a considerable ordeal for many.--Chapter 1, p. 10.
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The relationship of academic aptitude and study habits to academic success : a study of first year students' experience of academic life with specific reference to the University of Fort Hare
- Authors: Penny, Alan Joseph
- Date: 1980
- Subjects: Academic achievement , Student adjustment -- South Africa , College students, Black -- South Africa
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:1379 , http://hdl.handle.net/10962/d1001445
- Description: Any enquiry follows some incident which has prompted the question that leads to the enquiry. This study was prompted by a review of the 1974 first year examination results at the University of Fort Hare. The average percentage pass rate for that year was 59.3%. The cynic may remark that this is no different to the first year pass rate at white South African universities (cf. Erens and Louw, 1978), but when it is realised that students entering Fort Hare, or any other black university for that matter, are a highly select group, these figures have more Impact. The consequences of failure in terms of the wastage of human potential are immense (cf. Auerbach, 1977) but are more critical when this occurs, as It does, "... in a society which is competitive rather than co-operative, where people are for ever being classified according to what they have rather than that they can contribute and where competition plus classification inevitably breeds fears." Bligh (1978). A review of the first year examination results for the five years from 1971 revealed an average pass rate of 55.5% and for 1976, 1977 and 1978 a marked decline to 39.32%. For the earlier period, Downing (1977) found that 19.69% of students completed their degree courses In the minimum number of years. For the latter period (1976 to 1978) this has dropped to 16.3%, which, with the figure for the earlier period, suggests that whilst the failure rate may be highest at the end of the first year, in subsequent years it is also high. In this respect Fort Hare differs from white universities where about 75% of students complete their degrees in minimum time (cf. Erens and Louw, 1978)
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Entrants to training college : an investigation into the ability in, aptitude for and attitude towards arithmetic and mathematics, displayed by entrants to training colleges for White persons in the Cape Province
- Authors: Venter, Ian Andri
- Date: 1973
- Subjects: Arithmetic -- Study and teaching (Elementary) -- South Africa Mathematics -- Study and teaching (Elementary) -- South Africa Mathematics -- Study and teaching (Secondary) -- South Africa
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1916 , http://hdl.handle.net/10962/d1007283
- Description: In many cases topics for research are presented to a student in capsulated, clearly defined terms, either as the result of his own experience or as a request by some institution. In other cases the topic takes shape but gradually, very often as the result of a student slowly becoming aware of a field of research through repeated observation of related factors. In some cases the aim of research is to determine whether there is a relationship between various factors; or disprove such in others the main aim may be to prove relationship in unequivocal terms. A large body of research is, however, concerned mainly with the statement of a problem or the finding of facts. The work presented in the following pages can be regarded as falling in the last-mentioned category. A vague suspicion was gradually strengthened by observation and experience until it finally crystallised to form the basis of the research. Facts and figures were gathered and analysed and some conclusions drawn, conclusions that gave rise to more questions and problems than fall within the scope of this work. It was, in fact, found that this research raised more questions than were answered by it and served mainly to underline the magnitude of the problem rather than to offer a solution.
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Peer-group leadership in schools
- Authors: Bandey, Michael John
- Date: 1972
- Subjects: Leadership School discipline -- South Africa -- Cape of Good Hope School management and organization -- South Africa -- Cape of Good Hope Personality assessment of youth -- South Africa -- Cape of Good Hope
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1927 , http://hdl.handle.net/10962/d1007588
- Description: For a number of years I have wondered why many of the prefects of some of the Grahamstown Schools have not become leaders in the particular sphere into which they chose to go after school. More than one head prefect that I have known has appeared to fade into anonymity after apparently leading his peers at school. I wondered if this was perhaps because at school he was not really a leader but simply an efficient policeman. Conversely, people who were not prefects at school often appeared as leaders in their chosen post-school careers. It seemed as if for some reason the prefect system at the schools concerned did not appreciably aid many pupils to develop their leadership potential or the selection procedures were inefficient. On investigating further I became more and. more interested in this topic until eventually, on discovering that the Rhodes University Education Department had a set of leadership scores, (calculated from a personality test) I undertook this investigation.
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An experimental investigation of three developmental reading programmes
- Authors: Pienaar, P T (Peter Thomas), 1932-
- Date: 1970
- Subjects: Reading (Adult education) Reading comprehension Reading (Elementary)
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:2283 , http://hdl.handle.net/10962/d1007614
- Description: From Chapter one - 1.1 Genesis: My interest in increasing the efficiency of children's silent reading began in 1958 when I was teaching a Standard 5A of 24 boys and 15 girls in a two-stream Primary School in Rhodesia. the majority of children were able readers and the mean Word Reading Age was 12.7 which, in relation to an average chronological age of 12.3, yeilded an above average Reading Quotient of 103. These children needed lots of reading practice, and in addition to the usual Reading periods I resolved to set aside at least one period a week for Comprehension, as reading for meaning was then called.
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