MANSW logo
MANSW   The Mathematical Association of New South Wales, Inc.
Promoting Quality Mathematics Education for all.

Reflections: April, 2001

Contents of Volume 26, No. 1

EDITORIAL

MANSW Annual Conference, 2000

  • Opening Comments, Anne Hastings 1
  • Reflections on changes in mathematics education

  • Since the sixties: A retrospective on mathematics education, Bob Dengate 2
  • Reflections on early number learning

  • The development of number sense through mental computation, Janette Bobis 5
  • Investigating space and number, Beth Southwell 8
  • Patterning, position and people, Doreen Forrest 12
  • Reflections on technology

    • What's new in mathematical software, 2000, Stephen Arnold 14
    • Using computers in mathematics 7-8, Anne Hastings and Holly Gyton 17
    • Using Winplot and Wingeom in the mathematics classroom, Doug Moffat 22

    Reflections on the general mathematics course

    • General maths: What's in it?, Margaret Grove 24
    • Using a calculator for financial maths, Margaret Grove 26
    • Spreadsheet assessment tasks for General Mathematics, Tracey Clarke 31
    • Sample problems and solutions on annuities, Jim Stamell 37

    Reflections on alternative mathematics courses

    • What is the International Baccalaureate? Jim Milford 44
    • The national vocational mathematics curriculum framework, Judy Shand, Kevin Taylor and Sue Lim 45

    Reflections on teaching strategies

  • Fun, frolics and focus, Karen Nixon, Jillian Culey 49
  • A bag of tricks, Margaret Jordan 54
  • Mathemagic or mathematical modelling? Allan White and John Hastings 56
  • Developing basic knowledge in mathematics: A remediation scheme, Alan McSeveny 58
  • Reflections on higher mathematics and its origins

  • How mean can you get? James Taylor 61
  • On the shoulders of giants, James Taylor 65
  • Reflections on learning theories

  • Brain lateralization and asymmetry, John H. Brodie 69
  • Reflections on the mathematics K-10 review of syllabuses

  • Mathematics K-10 review: Survey of conference participants, Bernice Beechey, Margaret Bigelow, Jacqui Whitland 73
  • MANSW Conference

    • Conference Program 75
    • Conference Participants 78

    Editorial

    The 2000 Annual Conference held at Wollongong in October was another very successful event for the Mathematical Association of New South Wales (MANSW). The three days began with a reflection on changes in mathematics education, "Since the Sixties", presented by Bob Dengate from Charles Sturt University, Bathurst. His paper, included in this issue of Reflections, explores the focus of mathematics teaching and learning in each of the decades since 1960, thus enabling readers to examine the changes in relation to a described model.The remainder of the program on the first day focused on current issues including assessment and innovative practices. One paper from the collection of "Innovations in Mathematics Education", written by Hastings and Gyton, is included in this issue. At the conclusion of the first day, the Board of Studies review of the Mathematics K-10 Syllabuses was launched with an evaluation of the current syllabuses. Participants completed surveys that have been summarized by Beechey, Bigelow and Whitland.Common themes for the remainder of the conference included the use of a variety of technologies and approaches for teaching the new General Mathematics course. Papers that focus on these themes include Arnold's examination of recent changes in mathematical software and Moffat's description of teaching ideas using Winplot and Wingeom. In her papers, Grove orders the content of the General Mathematics course with a suggested program of study for students and suggests how graphic calculators can be used in the Financial Mathematics strand of this course. Stamell presents sample annuities problems and their solutions, while Clarke recommends the use of spreadsheets for assessment tasks.The usual variety of teaching strategies were included in several papers. Jordan, and Nixon and Culey present several useful and motivational activities in each of their papers. McSeveny describes a remediation scheme that has been successfully trialled in schools. White and Hastings outline an approach for teaching modelling skills in the mathematics classroom. Teaching approaches for early number learning are included in the papers by Bobis, Southwell and Forrest. Bobis offers sound advice about the importance of developing number sense from the early years of K-6, Southwell highlights the importance of investigations to enhance learning outcomes, and Forrest explores patterns and position in people's everyday lives.Several other papers explored a variety of different themes. Milford outlines requirements for the International Baccalaureate, while Shand, Taylor and Lim use the National Vocational Mathematics Curriculum Framework to map TAFE courses in order to compare mathematical content. In his first paper, James Taylor explores several mathematical means from an historical perspective, and in his second paper, he describes some of the mathematical discoveries of many "giants" of the mathematical world. Finally, Brodie explains some of the issues associated with left/right brain theories of learningIt should be noted that this conference proceedings contains papers that focus on the range of learning mathematics from Kindergarten to Year 12 and beyond.Participants at the Annual Conference again feature on the cover. The photographs include presenters as well as interactions at the Conference Dinner. Carol Neville and Peter Dinham must be thanked for their contribution to the collection of photographs and also for their efforts in obtaining the papers in this issue from the conference presenters.

    Judy Anderson, Beth Southwell and Robert Yen

    Visit the Primary PD and Secondary PD pages for the latest Inservice news

    Use our Calendar to see all events taking place this month.