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Ri Logo GEP Logo The Raffles Institution Gifted Education Program Mathematics Web Site on Geometry.

This site aims to give pupils an overview on the topic of Geometry that is covered from Secondary one to four, based on the Singapore syllabus. More often than not, pupils learn topics by chunk but fail to appreciate the beauty in the interconnectedness of the various topics that span across the four years. This package attempts to heighten the consciousness in pupils in recognizing the seamless integration of topics under Geometry . It is based on the constructivist approach ?that is, pupils to actively construct their own knowledge by making meaning out of the situation by themselves with support and guidance from the teacher. (Gagnon and Collay, 2000).

As such, the spiral curriculum is a natural outgrowth of this constructivist perspective of learning.
Quick Start
Here is a quick overview of how to use this web site.
Spiral Curriculum
Spiral Jerome Bruner (The process of education, Cambridge, MA, 1965) advocates the use of a spiral curriculum whereby pupils are scaffolded to higher and higher levels of generalizations by revisiting a problem on multiple occasions, each time with an increased understanding of the task at hand. The spiral curriculum aims to increase retention of basic skills and concepts with repetition of fundamentals and the integration of subject content. Learning often takes place in a logical order, with new information building upon prior knowledge. Within each learning level, pupils deepen their knowledge base and acquire a richer arena of understanding. Thus, Lower Secondary pupils acquire the basic concepts of angle properties of triangles, triangular trigonometry and Pythagoras Theorem. Concepts and skills are reinforced at upper secondary as pupils have multiple opportunities to revisit topics through trigonometry and relate them to one another in new ways. We hope that the pupils would be motivated to learn through a process of increasingly challengingly instructional activities over time.

Bearing these in mind, the math teachers in the Gifted Education Program in Raffles Institution designed the package accordingly and tailored to the two learning goals of Geometry ?the development of clear logical thinking and the ability to solve practical problems. The learning activities and the deliberate effort in connecting geometry to real life applications will help pupils to develop not only the mathematical , but other essential skills necessary to become life-long learners
Content
Content Chart
For a brief overview of what you're going to learn, click the respective link at the bottom of the page or click here.
Definitions
Unsure of what something means? Click the "definitions" link at the bottom-right of this page or click here.
Requirements
Features
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Type in the search field located at the bottom-center of the screen, and click the Search button button. You can use the hot-keys "Alt+W" and "Alt+S" ("Option+W" and "Option+S" on Macs) to focus on the search box and execute a search respectively.