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Original Articles

Senior cycle mathematics curricula in the Republic of Ireland: Courses for the 1990s — gospels, epistles and revelations?

Pages 73-91 | Published online: 18 Jul 2008

References

  • Howson , Geoffrey . 1991 . National Curricula in Mathematics , 47 – 235 . 126 – 127 . Leicester : The Mathematical Association .
  • Howson . National Curricula in Mathematics 23 It may be noted that the model does not allow for piloting curricula (though it is intended that monitoring would take place when the curricula are running). (See
  • For the Mathematics (Senior Cycle) Committee, the present author is Education Officer. However, the paper is written in her capacity as a lecturer in mathematics education, and does not necessarily reflect the views of the Committee or the NCCA.
  • Department of Education . Rules and Programmes for Secondary Schools 1987/88 and 1988/89 , 39 – 64 . Dublin : the Stationery Office n.d. . The old and new syllabuses are published in
  • 1992 . Education for a Changing World , Green Paper on Education 97 Dublin : the Stationery Office . Ireland
  • Ceallaigh , Albert Ó . 1992 . “Senior Cycle: Issues and Directions,” . Studies in Education , 8 ( 2 ) Autumn : 15 – 26 .
  • Howson . National Curricula in Mathematics 126 130 Personal communications from the Department of Education. (See also
  • Travers , Kenneth J. , Westbury , Ian , Oldham , Elizabeth E. , Russell , H. Howard , Garden , Robert A. , Hirstein , James J. , Weinzweig , A.I. , Wolfe , Richard G. and Livingstone , Ian D. , eds. 1989 . The IEA Study of Mathematics I: Analysis of Mathematics Curricula , 66 – 67 . Oxford : Pergamon Press .
  • Oldham , Elizabeth . 1991 . “Second Level Mathematics Curricula: the Republic of Ireland in International Perspective,” . Irish Educational Studies , 10 : 130
  • Oldham , Elizabeth . 1989 . “Is There an International Mathematics Curriculum?” . In New Directions in Mathematics Education , Edited by: Greer , Brian and Mulhern , Gerry . 220 – 222 . London and New York : Routledge .
  • Carss , Marjorie , ed. 1986 . Proceedings of the Fifth International Congress on Mathematical Education , Boston, Mass. : Birkhauser .
  • Howson , Geoffrey and Wilson , Brian . 1986 . School Mathematics in the 1990s , ICMI Study Series 55 – 74 . Cambridge : Cambridge University Press .
  • Dorfler , W. and McLone , R.R. 1986 . “Mathematics as a School Subject,” . In Perspectives on Mathematics Education: Papers Submitted by Members of the Bacomet Group , Edited by: Christiansen , B. , Howson , A.G. and Otte , M. 49 – 97 . Dordrecht : D. Reidel Publishing Company .
  • Kuchemann , Dietmar . 1981 . “Algebra,” . In Children's Understanding of Mathematics: 11–16 , Edited by: Hart , K.M. 102 – 119 . Oxford : John Murray .
  • Department of Mathematics and Computing, Cork Regional Technical College . September 1985 . “Report on the Basic Mathematical Skills Test of First Year Students in Cork RTC in 1984,” . In Irish Mathematical Society Newsletter, No.14 September , 33 – 43 .
  • Potari , D. and Searl , J.W. Creating a Learning Environment for 16+ Mathematics , Edinburgh : University of Edinburgh Department of Mathematics . n.d.)
  • Support for the diagnosis has been given at several meetings of the Irish Mathematics Teachers’ Association at which the author has spoken.
  • Personal communications from interested bodies.
  • “Leaving Certificate Mathematics Syllabuses: Some Questions to be Answered,” document tabled by the Education Officer, Meeting of 1 and 15 December 1988.
  • Ireland, Department of Education . The Leaving Certificate Mathematics Syllabus , Dublin : the Stationery Office . n.d.)
  • Ibid.
  • Draft versions will be available from the NCCA in late Autumn 1992.
  • 1982 . “ Report of the Committee of Inquiry into the Teaching of Mathematics in Schools under the Chairmanship of Dr. W.H. Cockcroft ” . In Mathematics Counts , London : Her Majesty's Stationery Office . para. 601.
  • Manipulative skills are avoided rather than developed. An “engineer's handbook approach” is used: that is, students are asked to acquire the skill of identifying a formula of form “x = expression,” where “x” is the unknown they wish to find, and the values of all variables in “expression” are available, “x” can then be found by substitution and computation.
  • Heywood , John . December 1976 . Assessment of Mathematics (Twelve to Fifteen) , Public Examinations Evaluation Project Report No.2 December , 1 Dublin : School of Education, Trinity College .
  • Draft versions will be available from the NCCA in late Autumn 1992.
  • Department of Education . The Leaving Certificate Mathematics Syllabus 3 – 4 .
  • Howson , Geoffrey , Keitel , Christine and Kilpatrick , Jeremy . 1981 . Curriculum Development in Mathematics , Cambridge : Cambridge University Press .
  • 1990 . “New Leaving Certificate Mathematics Courses,” . Irish Mathematics Teachers’ Association Newsletter , : 1
  • 1990 . “Response from the Mathematics (Senior Cycle) Course Committee to the Reply from the Minister for Education regarding the Provision of Leaving Certificate Mathematics at Three Levels,” . Irish Mathematics Teachers’ Association Newsletter , : 3 – 6 .
  • 1990 . “New Leaving Certificate Mathematics Courses,” . Irish Mathematics Teachers’ Association Newsletter , : 2 Indications that there was a problem as regards the position of the ASTI are found in
  • O'Donoghue , John and Murtagh , Luke . 1990 . “Applications Oriented Mathematics: The Tipperary (NR) VEC Alternative Programme for Senior Cycle,” . In Achievement and Aspiration: Curricular Initiatives in Irish Post‐Primary Education in the 1980s , Edited by: McNamara , Gerry , Williams , Kevin and Herron , Donald . 111 – 124 . Dublin : Drumcondra Teachers’ Centre .
  • Gleeson , Jim . 1990 . “Spiral II: The Shannon Initiatives,” . In Achievement and Aspiration: Curricular Initiatives in Irish Post‐Primary Education in the 1980s , Edited by: McNamara , Gerry , Williams , Kevin and Herron , Donald . 63 – 86 . Dublin : Drumcondra Teachers’ Centre .
  • 1990 . “Response from the Mathematics (Senior Cycle) Course Committee to the Brief Given at the NCCA Meeting of 10th October 1989: “Accommodating Weaker Students in the Ordinary Course,” . Irish Mathematics Teachers’ Association Newsletter , : 8
  • 1991 . “Senior Cycle Syllabuses: Where Do We Stand?” . Irish Mathematics Teachers’ Association Newsletter , : 2
  • Ibid.
  • National Council for Curriculum and Assessment . June 1991 . The Curriculum at Senior Cycle: Structure, Format and Programmes June , 12 99 – 100 . The overall model suggested was somewhat different from that subsequently outlined in the Green Paper; see Education for a Changing World
  • 1992 . “Senior Cycle Syllabuses: the State of Play (Summer 1991,” . Irish Mathematics Teachers’ Association Newsletter , : 2 4 – 53 . The “package” appears in the same Newsletter
  • 1992 . “Senior Cycle Syllabuses: the State of Play, December 1991,” . Irish Mathematics Teachers’ Association Newsletter , : 3
  • Ibid.
  • Department of Education . The Leaving Certificate Mathematics Syllabus 3
  • The author is grateful to Dr. Séamus McGuinness for drawing attention to some of the implications of this.
  • 1992 . “Senior Cycle Syllabuses: State of Play, December 1991,” . Irish Mathematics Teachers’ Association Newsletter , : 3
  • Oldham , Elizabeth . 1992 . “Junior Cycle Mathematics Curricula in the Republic of Ireland 1960–1990: Genesis, Exodus and Numbers,” . Irish Educational Studies , 11 : 134 – 150 .
  • Note: the author would like to correct an error in that paper. On p. 150 (footnote 41), the input that led to a change in the geometry syllabus was attributed to the Royal Irish Academy's National Sub‐Commission for Mathematical Instruction. According to Professor Don McQuillan (personal communication), it should have been attributed to the National University of Ireland.
  • Gilbert , W.S. 1957 . “The Gondoliers,” . In The Savoy Operas , I09 London : Macmillan & Co. .

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