Pre-Calculus Math Modules - CNIE Conference 2008

25
Merging Pedagogies of Online Learning and New Learning Technologies Increasing Success in First-Year Calculus

Transcript of Pre-Calculus Math Modules - CNIE Conference 2008

Page 1: Pre-Calculus Math Modules - CNIE Conference 2008

Merging Pedagogies of Online Learning and New Learning

Technologies

Increasing Success in First-Year Calculus

Page 2: Pre-Calculus Math Modules - CNIE Conference 2008

Acknowledgements

FunderInukshuk Wireless Learning Planhttp://www.inukshuk.ca

This initiative encourages the development of multimedia-rich learning content to allow learners across the country to embrace online learning.

Page 3: Pre-Calculus Math Modules - CNIE Conference 2008

Acknowledgements• SME

– Maria Torres, Athabasca University

• Flash Developer– Hongxin Yan

• CVU ID Experts– Daph Crane, Memorial University– Michelle Harrison, Thompson Rivers University– Moira Morrison, Laurentian University– Ted Keating, Thompson Rivers University

Page 4: Pre-Calculus Math Modules - CNIE Conference 2008

Agenda

• Description of project and relevance

• Design criteria

• Design and other challenges

• Example of AU math module learning activity

• Questions

Page 5: Pre-Calculus Math Modules - CNIE Conference 2008

Project rationale• Just-in-time learning modules

• Algebra - a cornerstone topics in secondary school mathematics (Gomez, 2000).

• High incompletion rates in calculus at post-secondary institutions

Page 6: Pre-Calculus Math Modules - CNIE Conference 2008

Criteria influencing project• Learning environment

• Length of instructional message

• Audience

• Learning object design

• ID Process

• Learner-centered approach

• Technology used (CTAT and Flash)

Page 7: Pre-Calculus Math Modules - CNIE Conference 2008

Learning environment• Web-based

• Standalone instruction

• Flash-based interactivity

• Learner support

Page 8: Pre-Calculus Math Modules - CNIE Conference 2008

Module length• General recommendation - 15 and 30

minutes.

• Impact of Module Length on completion rates:– Longer modules, higher attrition rates (Grant,

2002; Pomales-Garcia and Lui, 2006)– Quitting, pausing or completing a module more

related to module length than media (e.g. text vs. video)

Page 9: Pre-Calculus Math Modules - CNIE Conference 2008

Module length (con’d)• Longer modules - higher attrition rates

• Shorter modules encourage learner persistence (Jun, 2005)

• Thirty minute instructional message typical length of lesson in single subject area (e.g. math or reading) (Polychronis et al., 2004)

Page 10: Pre-Calculus Math Modules - CNIE Conference 2008

Audience• Adult learners, e.g. self-directed, learning

approach utilitarian• Learners who have been out of school for

some time• Learners who have difficulty with basic

mathematical concepts, may be math phobic

Page 11: Pre-Calculus Math Modules - CNIE Conference 2008

Implications of audience for design• Weak academic preparation – lower persistence

and completion rates

• Shorten and modularize curricula benefits adult learners

• Minimize length of learning session

(Chao, Stover DeRocco & Flynn, 2007)

Page 12: Pre-Calculus Math Modules - CNIE Conference 2008

Model of novice learner• No schema with which to interpret new

information, – Information provided in small chunks, or smaller

units (Billings, 1985).

• Give feedback after each action or decision

Page 13: Pre-Calculus Math Modules - CNIE Conference 2008

Learning object design• Maximum granularity

– Limit number of topics per learning activity

– Content restructuring resulting in more, shorter duration learning activities

• Maximum re-usability– Modularize each component of instruction

Page 14: Pre-Calculus Math Modules - CNIE Conference 2008

ID Process• Research on online pedagogy (e.g. math),

algebraic thinking, etc.• Interaction not transmission model, i.e.

learner-content interaction• Limit cognitive load (e.g. simple interface

design)• Ongoing evaluation process (e.g. iterative

design process)

Page 15: Pre-Calculus Math Modules - CNIE Conference 2008

Technology UsedDesign tools:• Cognitive Tutor Authoring Tool (CTAT)• Flash

Limitation:• Example-tracing variant of CTAT not as

flexible as cognitive tutor (java-based)

Page 16: Pre-Calculus Math Modules - CNIE Conference 2008

Design challenges

• Original content structured for print delivery

• No style guide/design guidelines

• Stand-alone delivery (course and instructor

independent)

• Optimal re-usability

• Tool limitations

Page 17: Pre-Calculus Math Modules - CNIE Conference 2008

Importance of design guidelines

• Systematizes and streamlines process

• Sets standards and ensures consistency

• Establishes levels of interactivity and

appropriate use of interactivity

• Establishes level of student support required

Page 18: Pre-Calculus Math Modules - CNIE Conference 2008

AU LO example• Wrapper (minimal navigation, maximum

space for learning content)• Learning activities

– maximum of 1-2 topics– maximum duration 30 minutes

• Optimize interactivity • Optimize learner control• Design timely, supportive feedback

Page 19: Pre-Calculus Math Modules - CNIE Conference 2008

Wrapper Element Region: 750 x 55

Learning Object Region: 750 x 445

Page 20: Pre-Calculus Math Modules - CNIE Conference 2008

Learning activity components• Pre-test and pre-amble (context/rationale for topic,

objectives, pre-requisites)• Topic:

– Concept/Definition– Examples– Exercises– Tutorials– Review

• Assessment• Glossary of terms

Page 21: Pre-Calculus Math Modules - CNIE Conference 2008

Module organization

Page 22: Pre-Calculus Math Modules - CNIE Conference 2008

Where we started . . .

Where we ended up . . .

Page 23: Pre-Calculus Math Modules - CNIE Conference 2008

Demo of AU LO components

Page 24: Pre-Calculus Math Modules - CNIE Conference 2008

Next steps

• Consultation with the CVU ID experts

• Ongoing production of learning objects

• Incorporate suggestions from CVU partners

and others

Page 25: Pre-Calculus Math Modules - CNIE Conference 2008

Any questions?