Cinquefoil Design Framework

A neurodiversity-informed, anxiety-aware, human-centered learning framework.

  1. Cognitive Load and Conceptual Progression

Purpose: Sequence content in digestible layers, minimizing overload.

Core Principles:

  • Concrete experiences before symbolic representation.

  • Each skill connects both backward (foundations) and forward (applications).

  • Conceptual understanding supports fluency.

Design Practices:

  • Move from pattern recognition → representation → notation.

  • Revisit key ideas in new contexts to strengthen schema.

  • Limit new elements per activity; focus on integration.

Reflection Space:
Which prior skills feed into this one?
Which future skills depend on it?
Where do students seem to lose connection or overload?

2. Learning Science and Affective Factors

Purpose: Build emotional safety and tolerance for productive struggle.

Core Principles:

  • Safety precedes learning.

  • Early success reduces threat perception.

  • Reflection helps reframe “mistakes” as data.

Design Practices:

  • Begin sessions with calming routines or pattern-based warm-ups.

  • Normalize “pause moments” for self-regulation.

  • Encourage curiosity before correctness.

Reflection Space:
What emotional regulation strategies are built into this lesson?
How can learners describe their emotional state during math work?

3. Neurodiversity-Informed Design

Purpose: Support diverse learning and processing styles through a variety of engagement styles and access to information.

Core Principles:

  • The body can anchor abstract reasoning.

  • Multi-sensory input strengthens conceptual networks.

  • Externalizing thought helps manage working memory load.

Design Practices:

  • Use cut-and-move manipulatives, foldables, and color/shape coding.

  • Allow learners to represent concepts in multiple formats.

  • Offer structured movement and physical exploration.

Reflection Space:
Which senses are engaged?
How could learners physically represent this concept?
Does the task allow for self-paced manipulation and exploration?

4. Language, Framing, and Conceptual Metaphors

Purpose: Use language that builds connection, not hierarchy or shame.

Core Principles:

  • Math and science use a language of patterns.

  • Linguistic metaphors can make abstract ideas concrete.

  • Reframing changes perception of difficulty.

Design Practices:

  • Replace “wrong” with “not yet” or “try another path.”

  • Introduce conceptual metaphors:

    • Parentheses as friendship groups

    • Subtraction as distance

    • Variables as mystery boxes

  • Encourage learners to create personal metaphors.

Reflection Space:
What metaphors naturally arise for this concept?
How can language of curiosity replace evaluative language?

5. Motivation, Play, and Self-Efficacy

Purpose: Make learning intrinsically motivating and autonomy-supportive.

Core Principles:

  • Curiosity drives sustained attention.

  • Autonomy fosters confidence.

  • Success should feel exploratory, not performative.

Design Practices:

  • Offer choice boards or “skill paths.”

  • Include creative or story-based challenges.

  • Encourage collaboration and co-discovery.

Reflection Space:
How can this activity spark curiosity?
What choices or creative freedoms are built in?
How do learners know they are progressing without external judgment?