Mathematics

(updated on 9 Jan 2014)

JUDGING | EVALUATION & GRADING CRITERIA | JUDGING CRITERIA | BRIEFING SLIDES | | SUMMARY REPORTS (FINALISTS)





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"Go down deep into anything and you will find Mathematics" - Dean Schlicter

A Maths project is a research on a puzzle/model/game/concepts/real-life problems using various mathematical concepts (like algebra, number theory, probability, geometry, graph theory and etc) to explain the phenomenon or/and discover new and exciting principles or theorems.

This category aims to develop the 21st century competencies in our students.



JUDGING


For Preliminary Round, a proposal, working towards a scale of 2 in the judging criteria C1 & C2 (refer Appendix I), should be submitted to the judges. The proposal should be type-written using Font Size 12, Times New Roman Style and in double spacing. All groups will be given 5-minutes for presentation and 3-minutes for Q&A session.

The proposal should include the following:
- An introduction of the project
- Brief summary of what has been done in the area of the project and the relationship of different works/articles with your own project
- Objectives of the project
- The intended approach or methodology
- A realistic time frame towards completion of project
Note: A basic level of research is needed at the preliminary stage; advice should be sought from your respective mentors.

For the Semi-Final Round, the group must have evidence to demonstrate the extent of development, working towards a scale of 3 in the judging criteria C1 to C4 (refer to Appendix I), for presentation during the semi-final round.

All groups will be given 7-minutes for presentation and 3-minutes for Q&A session. The oral presentation should be structured in the following manner:
- introduction and summary of what has been done in the area of the project and the relationship of different works/articles with your own project
- elaboration of approach or methodology used
- elaboration of results achieved so far
- possible extensions or plans to be carried out beyond the semi-finals stage

Note: Sec 3 & 4 SMTP groups that fail to qualify for the final round would still need to complete the final report.

For the Finals Round, a two pages summary of your project, stating clearly the objectives, literature review, methodologies, findings and conclusion of the project, following the same format requirement as the proposal, should be submitted to the Category Manager 1 week before oral presentation. This project summary will act as a source of reference for the judges during the final round presentation. The group must also prepare powerpoint slides for their presentation. Refer to Appendix II for the judging rubrics for the final round.

All groups will be given 10-minutes for oral presentations and 3-minutes for Q&A session.

For the web report, you are required to include a literature review. Below are the guidelines.
  • Pick 2 to 3 journals/books/internet. [You may want to take a look at http://www.mdpi.com/ (Open Access Publishing) to get you started]
  • Do check the reliability of your sources.
  • Write a summary of 2 to 3 different works/articles in the related subject area and extract and synthesize this information to make connections with your own project.
  • Cite your references in accordance to the American Psychological Association (APA) referencing system.


EVALUATION & GRADING CRITERIA


At the Preliminary Round, groups will need to attain a minimum total score of 10 in C1 & C2 (rubrics as in Appendix I) to qualify for the Semi-Final Round, shown as follows:
Percentage Score
Equivalent Point (max 10)
Project Status
< 50%
---
Prelim 2
>= 50%
10 (flat)
Advance to Semi-finals
The group that fails to clear the Prelim Round will undergo Prelim 2, after improving the project together with the help of the mentor. The Category Manager & Assistant Category Manager will judge together to determine if the group can advance to the Semi-Finals Round. Once the group clears the Prelim 2, it will be given 5 points. Otherwise, the group will get further help and advice from Director (Studies).

At the Semi-Finals Round, projects are categorized into 2 types: Explorative for Lower Secondary and Research-based for Upper Secondary. Scores given by the judges based on the rubrics (as in Appendix I) will be computed using different weightages based on the 4C formula as follows:
Nature of Project
C1: Correct Mathematics
C2: Clear Presentation
C3: Clean Finish
*C4: Cogitation
Explorative
30%
30%
30%
10%
Research-based
50%
20%
20%
10%
*The mark for C4 will be awarded by the respective mentors and submitted to the Category Manager for computation before the Semi-Finals judging.

Sec 1 to 4 groups will advance to the Finals based on the percentage score as shown:
Percentage Score
Project Status
< 65%
Stop at Semi-finals
>= 65%
Advance to Finals

At the Finals Round, scores given by the judges based on the rubrics (as in Appendix II) will be computed using different weightages:
Content (50%)
Communication (30%)
Visual and Multimedia (20%)

Groups in the Finals will be graded based on the total score as shown:
Grade
Percentage Score
Grand Final Selection Round
B+
< 60%
No
A
>= 60% but less than 70%
No
A*
>= 70%
to be considered

Consideration for selection of groups for Grand Finals (GF) will be based on:
- sound content (minimal flaws)
- content appeal to GF audience and good communications/presentation skill
- disposition of team, or potential to be trained further


JUDGING CRITERIA

(Updated on 2 Jan 2014)

Prelim and Semi-finals


Finals




BRIEFING SLIDES


Prelim (Intro) for Sec 1_24012014



Towards Prelims (Workshop for ALL)_07032014



Towards Semis and Beyond (Workshop for ALL)_09052014


Sharing of 2 projects groups
(By Dr Ang LC)






SUMMARY REPORTS (FINALISTS)

Project No.
Project title
Summary Report
9-02
Jump!

9-08
Reversi Problems

9-09
Magic Square

9-13
Jack of cards, master of the game

9-17
Strategies in billards

9-19
All Games Lead to Nim

9-21
Maximizing input of non-tracking solar panels

9-22
The Fractal Geometry of the Dragon Curve

9-24
Enigma... Enigmath?

9-26
Reversi

9-27
Rush Hour 4

9-28
Newton's Road to Chaos

9-30
Partitions Galore

9-32
Decimating Decimals

9-33
Prison Break

9-34
Hinged Dissections of Polyominoes

9-35
Gotta Sink Em All, Battleship!

9-36
Table Your Time!