IME6021/MME915 - Geometry and the Teaching of Geometry

  • The course focuses on important concepts in geometry in the school mathematics curriculum and theories related to the teaching and learning of geometry. Relevant geometry topics are examined from a higher vantage point with a focus on practical aspects and as well as research on the teaching and learning of the subject. Topics covered include but are not limited to: the historical origin and the axiomatic approach to geometry, properties of 2D and 3D figures, geometrical constructions, resources for teaching (e.g., dynamic geometry software (DGS), models, diagrams, etc.), Van Hiele theory, spatial reasoning, and student misconceptions.

    Learning Dimensions:

    • Deepening Knowledge and Practice in Academic Curriculum
    • Deepening Knowledge and Practice in Student Development Curriculum
    • Developing and Inspiring People Towards a Shared Vision
  • The course aims to enhance the content and the pedagogical content knowledge essential for the teaching of geometry as well as to provide an introduction to research in the teaching and learning of geometry at various levels in schools.

    The objectives of the course are to

    • Provide an introduction to Euclidean geometry with a focus on the historical origin of the axiomatic approach to geometry
    • Focus on geometrical concepts, theories and resources relevant for the teaching and learning of geometry from a higher vantage point
    • Examine students’ misconceptions and enhance knowledge about spatial reasoning and the teaching and learning of proofs
    • Provide an introduction to research relevant to the teaching and learning of geometry in schools
    1. Geometrical construction; historical origin of the axiomatic approach to geometry
    2. Properties of 2D & 3D figures; Resources for teaching and learning geometry
    3. Geometrical concepts; theories about the learning of geometry
    4. Resources for teaching (non-computer based); spatial reasoning; proof and the teaching of proof
  • Primary, Secondary & JC Teachers

    • A good Bachelor’s degree from a recognised university AND
    • A teaching qualification such as the Postgraduate Diploma in Education and at least one year of teaching experience OR at least three years of teaching experience or other relevant working experience in education
    • Field experience in mathematics education and at least two mathematics courses at undergraduate level
  • Date : 15 January to 20 April 2018 (Wednesdays)
      (First lesson starts on 17 January 2018)
    Time : 6pm to 9pm (39hrs of Face-to-Face lessons, 13hrs of E-Learning)
    Venue : National Institute of Education, 1 Nanyang Walk, S (637616), Exact venue to be advised

    **This course can be accredited towards the Master of Education (Mathematics) programme

    Note: NIE reserves the right to change or cancel the course due to unforeseen circumstances.

    • MOE Participants - $557.40 (incl. 7% GST & $1 Copyright Fee).
    • Non MOE Participants - $4,174.00 (incl. 7% GST & $1 Copyright Fee)
  • Please read the instructions below carefully before completing the application form.   

    Upon confirmation, payment is required for all courses. Payment should only be made after the course placement letter has been sent to participants to confirm the application. Cancellations/withdrawals are not allowed. However, a replacement may be sent to attend the same course. 

    Payment through GIRO/IFAAS

    NIE will proceed to invoice the respective schools, and they can  make payment through GIRO or IFAAS. The amount payable should be credited into the NIE bank account number 518-041272-001.

    Payment by Cheque

    Please submit the cheque together with the application form. Cheque should be made payable to “National Institute of Education” and participant(s)’ name and course(s) clearly indicated on the reverse of the cheque.

    Please mail to: 
    National Institute of Education
    Office of Graduate Studies and Professional Learning
    1 Nanyang Walk, Singapore 637616
    Attn: Ms Nur Shafiqah


    NIE will acknowledge receipt of the application form through email within one week. The course placement letter will be emailed to applicants who have been successfully placed in a course and upon course confirmation.


    Please note that NIE reserves the right to replace an instructor for a course if the lecturer is unable to teach the course due to unforeseen circumstances. No refund of the course fee will be made to participants.

  • 18 December 2017

    Applicants will be notified of the results of their applications via e-mail.

  • E-Register

    *All information will be kept confidential and used for internal administration only.