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LESSON FRAMEWORK

A consistent structure for impactful, inquiry-based math learning

Each Mathematics for Change lesson follows a two-part structure (2×60 min) designed to make mathematics

meaningful, inquiry-based, and directly connected to real-world contexts.

Every phase plays a distinct pedagogical role supporting engagement, reasoning, and reflection.

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Lesson 1 — Exploration & Guided Inquiry (60 min)

→ Pre-test (10 min)

Students complete a short introductory activity designed to explore their initial understanding of the topic. Questions may include both reflective prompts and simple mathematical situations to assess prior reasoning.
This step establishes a baseline for measuring conceptual and analytical growth after the lesson.

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→ Video & Reaction (10 min)
A short video introduces a real-world context.. The emotional and visual impact promotes curiosity and situates mathematics within authentic global issues.

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→ Presentation of Data (15 min)

The teacher introduces the real-world context of the lesson, presenting authentic datasets or graphs from reliable sources (e.g., UN, WHO, World Bank). Students examine how the data connects to the global issue, discuss first impressions, and reflect on data reliability before engaging in mathematical modeling or analysis.

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→ Guided Activity (20 min)
Through teacher-led modeling and problem-solving, students apply mathematical concepts (functions, ratios, statistics…) to interpret or model the data. The focus is on connecting abstract reasoning to practical evidence.

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→ Wrap-up (5 min)
A brief synthesis consolidates key findings, highlights the link between mathematics and the global issue, and prepares students for the next stage of investigation.

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Lesson 2 — Collaboration & Reflection (60 min)

→ Homework Review (5 min) 

The teacher invites 3–4 students to share the results of their independent work, reinforcing ownership and accuracy of their data-driven insights. Selected contributions are briefly discussed before transitioning to the next collaborative activity.

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→ Group Activity (25 min)

Students, 3-4 students per group, work collaboratively on a new but related task that extends the guided activity from Lesson 1. The teacher provides a similar dataset or context requiring application of the same mathematical model to a different scenario. This reinforces transfer of learning, deepens conceptual understanding, and fosters authentic mathematical reasoning through peer discussion.

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→ Sharing Results (10 min)
Groups present findings using visuals (graphs, tables, short oral summaries), strengthening communication and argumentation skills.

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→ Whole-Class Reflection (10 min)

The class engages in a guided discussion based on a reflective question related to the research topic explored in the lesson. Students connect mathematical insights to broader ideas, share perspectives, and articulate how mathematics helps make sense of complex real-world phenomena.

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→ Post-test & Feedback (10 min)
A short post-test measures progress and reinforces self-assessment. Students then complete a brief feedback questionnaire to reflect on their learning experience and perceived relevance of mathematics.

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Pedagogical Rationale

This two-part model is grounded in research-based pedagogies that link mathematics to authentic contexts and sustainability challenges. It aligns with principles of Inquiry-Based Learning (IBL), STEM-to-real-world transfer, and Education for Sustainable Development (ESD).


It promotes:
• Relevance – connecting math to real contexts
• Equity – providing multiple entry points for diverse learners
• Reflection – fostering critical and creative thinking about global issues

An educational initiative that connects mathematics with real-world data, global challenges, and meaningful learning experiences.
Created by Elena Martelli, mathematics educator and curriculum designer.

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© 2025 All lesson designs, texts, and educational materials on this site are original works by Elena Martelli and may not be reproduced or distributed without permission.

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