Human Abilities and Learning Online (HAL Online) is a 3-credit upper-level foundations course on how people learn designed for current and future educators. We use this course as a context for developing and testing online lessons that make use of the RBDIL video collection housed within the Video Mosaic repository. The goals of our experimental lessons include improving future educators':
1. Mathematical reasoning in specific areas of mathematics, such as fractions and combinatorics;
2. Ability to design learning and assessment environments that promote and reveal student reasoning;
3. Ability to think critically about students' mathematical reasoning that occurs in various classroom contexts.
An example of an instructional unit consisting of four lessons and illustrating how we make use of the videos in online teaching is provided through the link below.
This example is one of four units comprising HAL Online, a course developed and taught in the Moodle course management environment. Thus the unit shown here is set up in the Moodle system. (A generalized representation of this same unit that is not tied to Moodle or any other method of implementation is also shown in the section on Workflow.)
The example shows a Moodle introductory page that provides a course outline. Scroll past the course outline to access Unit II, The Amazing Learning Brain: Children's Thinking. This unit includes lessons 6 - 10:
6. Brain Basics
7. Early Brain Development in Language and Math
8. Understanding Children's Thinking;
9. Constructivist Education and Teaching
10. Wrap-up Assessment and Reflections.
All lessons illustrate the use of videos. Topics 7, 8 and 10 employ videos from the RBDIL collection housed in VM.
Video collections enable us to conveniently offer a wide range of instructional experiences based on authentic problem solving situations that reveal how children reason and develop mathematically across a variety of contexts. We hypothesize that strategically incorporating videos into thoughtfully designed online instruction enhances educator-learner's critical thinking as well as transfer and memory related to targeted instructional goals.