Available
Secondary mathematics
Expanded Tabletop
Expansion of the square of a sum
Open lesson
Video
Lesson library
Mathematics in practice
Every mathematical concept carries a structure, and every structure can be explored through meaningful situations. The Lesson Library showcases instructional designs developed through the principles explored within MathSeen and MSS.
These lessons are not simply activities or worksheets. They are carefully designed learning experiences that seek to connect situations, reasoning, representation, and formal mathematical understanding.
Each lesson serves as an example of how mathematical ideas can emerge from meaningful contexts and be developed through structured learning, the same instructional architecture described on the MSS page, applied in practice.
Available
Secondary mathematics
Square photograph
Expansion of the square of a difference
Open lesson
Video
Available
Middle and secondary mathematics
Rectangle areas and factors
Factorisation through area models
Open lesson
Video
In development
Secondary mathematics
Corner cabin
Difference of squares
Open lesson
Video
Lesson structure
Every lesson within the library follows a common instructional design structure.
SituationObservationExplorationRepresentationFormalisationApplication
Video lessons
Each lesson page includes a dedicated video section. Videos may include:
- Classroom demonstrations.
- Lesson walkthroughs.
- Teacher reflections.
- Student discussions.
- Concept explanations.
- Visual animations.
Video resources will continue to expand as the lesson library grows.
For teachers
Every lesson is designed with classroom implementation in mind. Available resources may include:
- Teacher lesson guides.
- Suggested questioning sequences.
- Anticipated student responses.
- Common misconceptions.
- Assessment opportunities.
- Extension activities.
- Downloadable materials.
The goal is not simply to provide content, but to support meaningful implementation.
A growing collection
The Lesson Library is an evolving collection of instructional designs. New lessons, resources, videos, and classroom reflections will be added over time.
Future areas of development
- Number and arithmetic
- Algebra
- Geometry
- Trigonometry
- Functions
- Statistics and probability
- Interdisciplinary mathematics
A lesson is more than a classroom activity. It is an opportunity to observe how mathematical understanding develops. The lessons within this library represent ongoing explorations into how situations, reasoning, and instruction can work together to make mathematics more meaningful and more understandable.
Every lesson begins with a situation.
Every situation contains structure.
Every structure has the potential to become mathematics.