Effective Scaffolding in Math

Effective Scaffolding in Math

Introduction

  • Speaker: Kateri
  • Effective scaffolding is essential for supporting learners in mathematics.
  • Emphasis on the difficulty of providing individualized support to diverse learners.
  • Goal of the session: to learn about effective scaffolds, particularly fading scaffolds.

Purpose of Scaffolding

  • Definition of Scaffolding:
    • Refers to temporary support strategies that assist learners in reaching challenging tasks or concepts.
    • Provides safety and access when engaging with complex material.
  • Discussion Prompts:
    • Participants were asked to share their thoughts on the purpose of scaffolding in the chat.
    • Common responses included:
    • Support and stepping stones.
    • Build upon prior knowledge and provide temporary assistance.
    • Create a safety net for learners.

Characteristics of Effective Scaffolds

  • Four characteristics to emphasize effective scaffolding:
    1. Customized: Adapted to the needs of individual learners, ensuring that it meets their specific challenges.
    2. Temporary: Scaffolding is designed to be removed as learners gain independence and mastery.
    3. Universal Application: Useful for all learners, regardless of age or content area.
    4. Necessary Support: Scaffolds should be utilized when tasks are unachievable without support.
  • Scaffolding empowers learners and fosters a sense of capability and success.

Process of Scaffolding

  • Key Steps:
    1. Developing a mental model of the task.
    2. Setting achievable goals.
    3. Engaging in the task with scaffolds in place.
    4. Fading away the support systematically.
  • Example: Teaching a child to ride a bike involves:
    • Starting with training wheels.
    • Gradually removing support while encouraging independence and mastery.

Types of Fading Scaffolds

  • 1. Language Frames and Word/Symbol Banks:

    • Support for receptive and expressive language.
    • Provides structure for students to engage in mathematical discourse.
    • Example: Language frames for discussion in geometry.

  • 2. Visual Cues and Prompts:

    • Effective for supporting spatial reasoning or visual processing.
    • Example: Color coding to distinguish numerals in multi-digit numbers.

  • 3. CRA (Concrete-Representational-Abstract) Method:

    • Supports quantitative reasoning and comprehension using three stages:
    1. Concrete: Manipulatives or tangible objects.
    2. Representational: Images or drawings that connect to concrete tools.
    3. Abstract: Numerical or symbolic representation.
    • Parallel Modeling: Presenting all three stages together helps all learners comprehend/explore effectively.

  • 4. Mnemonics and Organizers:

    • Create a framework for strategic thinking.
    • Example: Three C’s mnemonic - Choose, Change, Check for checking for reasonableness in math tasks.

  • 5. Gradual Reveal:

    • Presents information in smaller segments to manage cognitive load.
    • Builds cognition around understanding and relationships within a problem.
    • Example: Numberless problems that start with context and incrementally reveal numerical values.

  • 6. Number Lines, Charts, and Calculators:

    • Used to support computational skills and basic fact recall.
    • Example: Using number charts and open number lines for performing calculations.

Application of Scaffolding to Real Tasks

  • Example task discussed: "Bunch of Grapes" where learners determine how many groups of five grapes can be made from a larger bunch.
    • Potential scaffolds include:
    • Visual cues (e.g., circling groups of five).
    • Language frames to help articulate responses.
    • CRA representation with physical manipulatives and visual aids.

Conclusion

  • Aim of the session: To ensure participants can explain scaffolding, describe its characteristics, and identify effective fading scaffolding strategies specific to mathematics education.
  • Encouragement to use collaborative learning and discussions to enhance teaching techniques.
  • Participants reminded that this is an ongoing process and to reach out with questions or experiences.
  • Emphasis on the importance of community in teaching and learning in mathematics.