Monday, January 25, 2016

8th IPSG Progressive mathematical model building(mathematical function plots/graphing) process


Progressive mathematical model building(mathematical function plots/graphing) process


Lawrence Wee Loo Kang (MOE Senior Specialist)
Jimmy Goh Giam Hwee (YJC HODSC)

Introduction and Theory

The Open Source Physics @Singapore (OSP@SG) leverages progressive mathematical model building(mathematical function plots/graphing) process to allow students to propose their own initial ideas that can be modeled into a simulation. The closeness of the model versus the simulated data gives students the evidences to oppose their initial na├»ve models. This iterative modeling building process is repeated until the students can achieve a mathematical equation that is close enough ‘fit’ to the data. This approach helps students to use their mathematical understanding to deepen physics learning, thus fostering interdisciplinary learning.

In our pilot study Oct 2015 at Yishun JC, 15 students self reported out of a scale of 1(useless) to 10(useful) that the ebook has a score of 7.27 suggesting its usefulness for  learning. Usefulness reasons given by students range from 1. learning becomes more interesting and interactive, 2. useful for visualization compared to paper, but they caution that 1. it is time consuming, 2. might be difficult to use initially as they are unfamiliar with simulations, 3. paper lectures notes should be available still.

Concept and Implementation

We will demonstrate how teachers can use this free downloadable interactive e-book, or webpages (Gravity and Oscillators) to conduct lessons for Progressive mathematical model building and  interactive engagement with the new HTML5  simulations we customized for the Singapore-Cambridge General Certificate of Education Advanced Level (A-level).


This research is made possible through the eduLab project NRF2015-EDU001-EL021 “
Modelling-Inquiry Enabled Interactive Textbook” awarded by the National Research Foundation (NRF), Singapore in collaboration with National Institute of Education (NIE), Singapore and the Ministry of Education (MOE), Singapore.

Prototypes are available via links here:

  1. direct links 
  2. direct link 
  3. and Apple iBook Store Google Play Book and Kindle Book.

This year we have 26 presentations from 15 schools and 8 university/partners like NUS, NTU, SUTD, ETD, Science Centre and Meteorological Service Singapore (please see synopsis of the sessions attached) to share their good teaching practices in physics and other ideas related to application of physics in different areas of life. Prof Andrew Wee will also be delivering a keynote and there will be a new poster presentation format this year at the NJC labs. These presentations will be related to hands-on and demos. Your lab technicians are welcome to join us for the IPSG to get ideas from the poster presentation. We would need to trouble the HODs/SHs to forward this email to your lab technicians.

1. Programme

TimeActivityVenue (refer to the attached programme for the map of NJC)
1.45 – 2.30 pmRegistration of presentersNgee Ann Kongsi Performing Arts Theatre (NAKPAT), LT5
2.30 – 2.45 pmWelcome AddressNgee Ann Kongsi Performing Arts Theatre (NAKPAT), LT5
2:45 - 3:15 pmKeynote speakerNgee Ann Kongsi Performing Arts Theatre (NAKPAT), LT5
3:15 - 4:00  pmTea Break + Poster PresentationHall +  Science Block Level 2
4:00 - 4:45  pmConcurrent session 1CS1.8 Progressive mathematical model building Lawrence Wee Loo Kang and Jimmy Goh Giam HweeScience Block Level 1 and 3
4:45 - 5:30 pmConcurrent session 2Science Block Level 1 and 3

The programme is attached for your reference. The hard copy of the programme sheet will be available on the day itself.

Participants can check for the sessions they are registered for at a counter outside Ngee Ann Kongsi Performing Arts Theatre (NAKPAT), LT5 .

2. Getting to NJC

The stretch of Hillcrest Road between Dunearn Road and the entrance to RGPS will be converted to a one way road from 1.00 pm to 2.30 pm and from 4.30 pm to 5.30 pm. Hence, you can only enter from Dunearn Road, please do not drive in from the Greenwood Estate. Cars leaving NJC can exit to Dunearn Road via Watten Drive during these periods.

a Parking: Limited parking is available in the College, and will be on first come, first served basis. In the event that the college car park is full, cars will have to park along the road outside of the College. You are encouraged to either take public transport or carpool.

b. Public Transport: Downtown Line, Tan Kah Kee Station (DT8) or Sixth Avenue Station (DT7), walk 10 minutes or take any bus for one stop towards NJC direction. You will be allowed entry through the side bus-stop gate if you produce your PS card. Buses available at nearest stops: 66, 67, 74, 151, 154, 156, 157, 170, 171, 174, 852, 961

Address: 37 Hillcrest Road, Singapore 288913

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