Short answer

Model knowledge domains as interconnected tasks within environments that allow for user exploration and differentiation.

Field: Modelling
Source: ICME-13 monographs (2019)
Method: Design Science and Design Research approach
Evidence: Strong effect

Designing 'substantial learning environments' with interconnected mathematical tasks can serve as operative models to facilitate deep learning and individualised progression. This modelling research insight is drawn from a 2019 study published in ICME-13 monographs. Using Design science and design research approach, researchers explored how this design variable affects real-world outcomes. The key design takeaway: Model knowledge domains as interconnected tasks within environments that allow for user exploration and differentiation.

Study

ModellingHigh ImpactStrong effect

Substantial Learning Environments as Operative Models for Knowledge Construction

Designing 'substantial learning environments' with interconnected mathematical tasks can serve as operative models to facilitate deep learning and individualised progression.

ICME-13 monographs · 2019

Key Findings

01Substantial learning environments are characterized by mathematically connected tasks with a specific epistemological structure.
02These environments enable active immersion in learning and support individual and differentiated learning processes.
03Design Research complements the design of learning environments by empirically studying the learning processes to validate design principles.

Application

Design takeaway

Model knowledge domains as interconnected tasks within environments that allow for user exploration and differentiation.

How to apply

When designing educational software or training modules, structure content as a network of interconnected activities rather than isolated pieces of information.

Project actions

01When designing a system, consider how different components or information pieces can be 'operativly connected' to create a more cohesive and understandable whole.
02Think about how your design can support different users learning or interacting with it in their own way.

Method & Evidence

AimHow can 'substantial learning environments' be designed as operative models to foster active learning and individualised progression in a subject area?

MethodDesign Science and Design Research approach

ProcedureThe research involves defining the characteristics of substantial learning environments, conducting teaching experiments to test their efficacy, and empirically studying the learning processes initiated within these environments.

ContextMathematics education

Variables

IVStructure of learning environment (e.g., operative connections vs. isolated tasks)

DVUser learning outcomes, engagement levels, perceived understanding

CVSubject matter complexity, prior user knowledge, time spent on task

Strengths & Limitations

Strengths

+Emphasizes a structured yet flexible approach to design.
+Integrates empirical validation of design principles.

Limitations

The effectiveness of 'operative connections' might vary depending on the complexity of the subject matter and the prior knowledge of the users.

Reliability & validity

Reliability could be enhanced by using standardized assessments of learning and consistent experimental procedures. Validity is supported by the empirical study of learning processes, but may be limited by the specific context of mathematics education.

Think critically

To what extent can the 'operative connection' principle be applied to non-educational design contexts, such as user interfaces for complex software or onboarding processes for new employees?

Design Principles

"Operative connections within a modelled system facilitate deeper engagement and understanding."

This approach emphasizes the creation of structured, yet flexible, learning models that actively engage users in a knowledge domain. By focusing on the operative connections within the content, designers can create environments that support both conceptual understanding and personalized learning pathways.

What This Means for Your Design

Think of learning like building with LEGOs. Instead of just giving you random bricks, this idea is about giving you specific sets of bricks that fit together in a smart way, so you can build something cool and learn as you go, and even build it your own way.

How to use in your project

1.Use the concept of 'substantial learning environments' to justify the structure and interconnectedness of your design, especially if it's an educational or training tool.
2.Refer to the 'Design Science' approach to explain your iterative design and testing process.

Add to My Project

Quick Cite

Paragraph starter

The design of this project draws inspiration from the 'Design Science' approach, specifically the concept of 'substantial learning environments' as operative models for knowledge construction. By structuring the user experience around interconnected tasks with a clear epistemological flow, the aim is to facilitate active immersion and support individual learning pathways, mirroring the principles of effective educational design.

Source

ICME-13 monographs

Design Science and Design Research: The Significance of a Subject-Specific Research Approach

journal · 2019

View source

Questions About This Research

What does the research say about substantial learning environments as operative models for knowledge construction?: Model knowledge domains as interconnected tasks within environments that allow for user exploration and differentiation. Evidence: ICME-13 monographs (2019).
Why does "Substantial Learning Environments as Operative Models for Knowledge Construction" matter for design?: This approach emphasizes the creation of structured, yet flexible, learning models that actively engage users in a knowledge domain. By focusing on the operative connections within the content, designers can create environments that support both conceptual understanding and personalized learning pathways.
How can designers apply this research?: Model knowledge domains as interconnected tasks within environments that allow for user exploration and differentiation.
What were the main findings?: Substantial learning environments are characterized by mathematically connected tasks with a specific epistemological structure.. These environments enable active immersion in learning and support individual and differentiated learning processes.. Design Research complements the design of learning environments by empirically studying the learning processes to validate design principles.
What research method was used?: Design Science and Design Research approach.
How strong is the evidence?: Evidence strength is rated Strong effect, based on a 2019 journal from ICME-13 monographs.
What should I do differently in my next project?: When designing educational software or training modules, structure content as a network of interconnected activities rather than isolated pieces of information.
What are the limitations?: The specific epistemological structure of tasks may need adaptation for different subject areas or learning objectives.