Su Jeong Park Su Jeong Park

3 Act Tasks By Graham Fletcher

It all begins with an idea.

What Are 3-Act Tasks?

3-Act Tasks, developed by Graham Fletcher, are an engaging and inquiry-driven approach to teaching mathematics. This method transforms math lessons into compelling, real-world stories, encouraging students to think critically, solve problems, and communicate their reasoning. The tasks are structured in three stages, mirroring the narrative arc of a story:

  1. Act 1 (The Hook): Introduces a real-world scenario, often through a video or image, to spark curiosity and invite students to ask questions.

  2. Act 2 (The Plot Development): Students gather information, test ideas, and apply mathematical thinking to solve the problem.

  3. Act 3 (The Resolution): Reveals the solution, allowing students to compare strategies, discuss results, and reflect on their learning.

This structure makes math relatable and engaging by framing problems as part of a larger story. For early years learners, 3-Act Tasks leverage students’ natural curiosity and creativity to build foundational math skills in an enjoyable and meaningful way.

Example

Imagine a classroom scenario where you present a video or image of a carton with 12 eggs. You explain to the students that these eggs need to be shared fairly among four family members. This simple yet relatable context creates a story that engages students in problem-solving.

Video from Gfletchy

Act Task 1: Provoke students’ thinking and curiosity. What do you see, think, and wonder?

Image from Gfletchy

Act Task 2: How many eggs were in the carton to start?

How many eggs didn’t break?

Image from Gfletchy

Act Task 3: Reveal the answer and have a open conversation.

How Does This Support Students’ Learning?

  1. Encourages Inquiry and Curiosity:
    Act 1 sparks curiosity, prompting students to ask questions and take ownership of their learning journey.

  2. Develops Problem-Solving Skills:
    Act 2 provides a hands-on opportunity to experiment with strategies, fostering critical thinking and mathematical reasoning.

  3. Builds Communication Skills:
    Act 3 encourages students to articulate their thinking, share solutions, and listen to others, enhancing their ability to explain and justify their ideas.

  4. Connects Math to Real Life:
    The relatable scenarios help students see the relevance of math in everyday situations, reducing anxiety and making learning enjoyable.

  5. Supports Collaboration and Inclusion:
    The tasks' open-ended nature allows all students to participate, regardless of their prior knowledge or skill level.

Step-by-Step Instructions for Educators

  1. Choose a Scenario:

    • Select a real-world problem or scenario that is relatable for young learners, such as sharing eggs, cookies, or toys.

  2. Prepare Materials:

    • Gather visual aids (videos or images) and manipulatives (e.g., counters, blocks, or toy food) to make the task tangible.

  3. Present Act 1:

    • Show the scenario and ask open-ended questions to spark curiosity and engagement. Record students’ observations and questions on the board.

  4. Facilitate Act 2:

    • Provide tools for students to explore and solve the problem.

    • Walk around the room, asking guiding questions like:

      • “What strategy are you using?”

      • “How do you know it’s fair?”

  5. Conclude with Act 3:

    • Reveal the solution and compare it with students’ ideas.

    • Encourage a discussion about different strategies and what students learned from the task.

  6. Reflect and Extend:

    • Ask students to think about how they could apply what they learned to other situations, such as sharing toys or dividing snacks.

    • Encourage them to create their own problems for classmates to solve.

By incorporating 3-Act Tasks into early years mathematics, educators can create a playful, inquiry-based environment that nurtures curiosity, critical thinking, and collaboration, while connecting math to the real-world experiences of young learners. For more examples and inspiration, explore Graham Fletcher’s 3-Act Tasks.

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