College Algebra

The College Algebra data set is a collection of extremely fine-grained learning outcomes (that we call Micro-outcomes) mapped into a graph model with prerequisite relationships between Micro-outcomes.

In addition to Micro-outcomes, the data set also contains equally fine-grained Assessments (that we call Micro-Assessments). Every Micro-outcome has at least one corresponding Micro-Assessment, usually more.

This data set was created as part of the Fly-by-Wire project. To learn more about the modeling and mapping of this data, read our paper on mapping fine-grained outcomes and assessments with network models.

The Model

In this data set, we have three types of entities and two types of relationships:

  1. Subject
  2. Module
  3. Micro-outcome

Micro-outcomes are connected to each other via the presence of has-prerequisite-of relationships. Micro-outcomes are grouped under Modules via the presence of has-parent-of relationships. The curriculum model diagram looks like:

College Algebra model

We also have Micro-Assessments, which are assessments that are of incredibly fine-grained resolution such that every Micro-outcome can be linked 1:1 to a corresponding Micro-Assessment. A Micro-Assessment looks like:

College Algebra assessment

Every Micro-Assessment has a selection of answer choices with one correct choice. Each answer choice is linked to a Micro-outcome — this linkage demonstrates the notion that the reason a learner may pick this given answer choice is due to insufficient competency in its linked Micro-outcome.

Linked answers

How we created the resources

Authoring the Micro-outcomes and Micro-Assessments, as well as linking them together, was a herculean task undertaken by subject matter experts and instructors as part of the Fly-by-Wire project.

Testing

The data set has been implemented in the frontend applications of the FbW Student and FbW Instructor applications. Micro-outcomes and Micro-Assessments were tested and revised for a period of four years on hundreds of students at community colleges.

Where to go from here

Getting access   To gain access to this data set, please contact us.

Explore   Continue reading about the companion data set — the collection of Introductory Accounting.