Pedagogical Framework

Moving Beyond “Just Graphing”

We restructure mathematics technology usage around cognitive research. This ensures tools are used to elevate deeper understanding rather than simply digitized traditional worksheets.

S

SAMR Framework Redefined

Rather than using GeoGebra to just show a static graph (Substitution), teachers learn to construct models where students slide coefficients to redefine equations dynamically based on inquiry.

Pedagogy-First Approach

I

Exploration & IA Readiness

Aligned to direct assessment markers: showing teachers how to scaffold technology for mathematical modeling, optimization, and 3D calculus visualization required in IA/EE papers.

Assessed Competency Focus

M

Algebraic Dynamic Logic

Integrating Graspable Math lets teachers show students algebra as a fluid canvas. Drag, combine, and trace variables dynamically, building real conceptual algebraic intuition.

Graspable Math & CAS Demo

The Core Timeline

Interactive Learning Modules

A highly-optimized sequence built to maintain pacing, provide scaffolded creations, and guarantee teachers leave with immediate deliverables.

All Modules
Desmos
GeoGebra


Module 1 (30 mins)
Desmos

Visualizing Dynamic Graphs

Introduction & Hands-on creation mapping dynamic variables.

• •
  Creating animations with slider functions
• •
  Interactive labels & vector plotting
• •
  Dynamic real-world modeling demonstration

Outcome: Dynamic Graph
Hands-On

Module 2 (30 mins)
Desmos

Classroom Activity Design

Building classroom experiences via the Activity Builder.

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  Integrating custom elements (cards, screens)
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  Importing/mixing screens from public math templates
• •
  Leveraging Teacher Dashboard for real-time check-ins

Outcome: Live Sandbox Activity
Interactive

Module 3 (40 mins)
GeoGebra

2D & 3D Models / AR

Integrating solid models, 3D vectors & AR features.

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  Simultaneous 2D/3D representation alignment
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  Augmented Reality integration with physical spaces
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  How to customize high-quality public applets

Outcome: Interactive 3D Model
Dynamic Demo

Module 4 (20 mins)
Integration

Customizing Dynamic Applets

Assembling interactive apps ready for standard classroom tasks.

• •
  Structuring GeoGebra worksheets into lessons
• •
  Integrating with Google Classroom/MS Teams/LMS
• •
  Designing specific checks for learning milestones

Outcome: Custom GeoGebra Lesson
Creation Block

BONUS VALUE ADDITION

Graspable Math & Statistical Toolkits

Every workshop includes additional guides for Graspable Math CAS logic and Statistics dashboards using both Desmos and GeoGebra.

Includes 1-Hour Tailored Q&A Session

Tailored to Global Syllabuses

See how teachers can put these dynamic tool skills into practice across distinct IGCSE & IBDP coursework modules.

IBDP Math (AA & AI)

Internal Assessment (IA), Modelling, Extended Essays

Function Modifiers (AA/AI Core)

Using Desmos Classroom to build exploration worksheets that help students intuitively discover translation, scaling, and reflection formulas ($y = f(x – c) + d$).

3D Calculus & Volumes of Revolution

Generating rotating curves on GeoGebra 3D to trace volumes of solids—critical visualization support for successful calculus-heavy Internal Assessments.

IGCSE Extended & International Math

Core graphing skills, Coordinate Geometry, Trigonometry

Linear Systems & Inequalities

Plotting systems of dynamic inequalities on Desmos to clearly shade and visually isolate feasibility regions for Linear Programming units.

Trigonometric Visualizers

Building dynamic unit circles on GeoGebra to bridge the conceptual gap between right-angle triangles and cyclical wave forms ($y = sin x$).

Ready-to-Deploy Assets Vault

Teachers don’t leave with just ideas; they leave with practical files. Every attendee gets access to a curated drive of customizable lesson templates.

All Drive Assets
Desmos Activities
GeoGebra Applets
IBDP IA Starters


Desmos template

Parameter Investigation Canvas

Ready-made sandbox allowing students to manipulate parameters $a, b, c$ across quadratic, cubic, and exponential equations with tracking traces.

🚀 Class ready
•
Differentiable

GeoGebra template

3D Coordinate Geometry & Vector Base

Interactive 3-dimensional vector builder. Great for showing intersection lines, planes, and distance between skew lines dynamically.

📐 Vector Unit
•
3D Mode

IBDP IA STARTER

Modeling Rollercoasters (Spline curves)

Structured starting activity showing students how to stitch piecewise cubic polynomials together with smooth tangent lines.

🎓 Internal Assessment
•
IB Core

Desmos template

Real-Time Calculus Derivative Tracer

Visual slope generator which tracks and plots the derivative values as teachers slide a point along any given curves.

📉 Calculus
•
Formative Task

GeoGebra template

Dynamic Regression & Stat Scatterplots

Quickly plot tables, run Pearson correlation calculations, and construct Residual Plots visually within seconds in the classroom.

📊 Statistics
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Correlation

IBDP IA STARTER

Volume of a Vase modeling

Step-by-step math design file showing teachers how students import real image assets to model custom revolutionary solids.

🏺 Solid Volumes
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Advanced

Customize the PD Proposal

Modify the attendee size, delivery parameters, and curriculum focuses to generate a formal PDF-ready proposal draft below.

Expected Teachers:
15 Teachers

Min: 5
Max: 60+

Delivery Format
Face-to-Face (Full Kit)Virtual Interactive Session
Primary Curriculum
Both IGCSE & IBDPIBDP SpecificIGCSE Specific

Optional Enhancements

Post-Session Coaching (3 Months Support)
Adds 2 extra review sessions + customized file reviews.

Estimated Proposal

Standard Investment
$200
/ block
~ INR 16,000/-

Workshop Type:
Face-to-Face
Participant Cohort:
15 Teachers
Syllabus Focus:
Both IGCSE & IB
Resource Pack:
15+ Templates Included


Request Signed Proposal PDF

The flat rates are generally set at $200 (INR 16,000) for school bookings. Final quotes depend on customization parameters.

Led by Satvinder Singh

Satvinder Singh is a seasoned IBDP & IGCSE mathematics educator and digital pedagogy specialist. As the founder of The Math Design Lab, he helps international schools restructure technological inquiry to drive student success in exams, coursework, and internal mathematical modeling essays.

Authorized PD Facilitator
•

IGCSE & IBDP Pedagogy Expert