Unlock Learning with Five Powerful Thinking Structure Diagrams
This article introduces five distinct visual thinking structures—knowledge maps, recall maps, prompted recall maps, note maps, and problem‑solving maps—explaining how each can be used to organize, retrieve, and expand knowledge during teaching and learning.
Using diagrams to represent thinking structures is an effective way to visualize relationships among concepts. Below are five types of thinking‑structure diagrams that can be applied in education.
Knowledge Structure Map
A knowledge structure map includes every connection (“road”) between knowledge points, forming a comprehensive graph that may be vast or limited depending on the number of points and their interrelations. It assumes that discovered patterns represent all relevant patterns.
Recall Map
A recall map captures what a learner can spontaneously associate from one or several knowledge points without external prompts, revealing explicit memory and providing insight into the learner’s knowledge network.
Prompted Recall Map
A prompted recall map adds cues at specific moments to trigger associations, extending a basic recall map with guided prompts that help the learner retrieve additional related content.
Note Map
A note map records lecture content in a visual format, mirroring the teacher’s knowledge structure but focusing on the subset presented. When detailed, it can be isomorphic to the teacher’s original knowledge graph.
Problem‑Solving Map
A problem‑solving map documents the learner’s thought pathway while tackling a problem, highlighting core steps and reflecting the underlying thinking tendencies.
The latter four maps can be viewed as sub‑maps of the primary knowledge structure map, and learning involves expanding these sub‑maps and seeking “missing pieces” to complete the overall graph.
Model Perspective
Insights, knowledge, and enjoyment from a mathematical modeling researcher and educator. Hosted by Haihua Wang, a modeling instructor and author of "Clever Use of Chat for Mathematical Modeling", "Modeling: The Mathematics of Thinking", "Mathematical Modeling Practice: A Hands‑On Guide to Competitions", and co‑author of "Mathematical Modeling: Teaching Design and Cases".
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