Research Methods

If you would like to have your students use our materials, please contact us.

For each calculus topic, we create 1-4 short videos to explain the topic and provide examples. Then, we create questions for students to answer before and after watching the videos, and (depending on the details of the experimental design) also include various resources for the students to use prior to watching the videos.

Each collection of videos, questions, and interventions is hosted on the Ximera platform, which records students’ responses as well as how they interact with each video–the timestamps when they pause, play, skip, and complete watching each video.

We take all of these data and analyze them using quantitative and qualitative techniques to paint a picture of how students use and interact with the videos, what they learn from watching the videos, and how their usage is related to their learning.

The materials below are still rough drafts; final versions of all of the materials will be posted for the Fall, 2019 semester.

TopicVideo 0 VersionOutline VersionPost-Video Questions VersionControl Version
Intro   Link
Graphing CROCLinkLinkLinkLink
Graphing IncROCLinkLinkLinkLink
Approximating InstROCLinkLinkLinkLink
Limit Def of DerivativeLinkLinkLinkLink
Slopes of Secants and TangentsLinkLinkLinkLink
Graphing DerivativesLinkLinkLinkLink
Basic Derivative RulesLinkLinkNALink
Product RuleLinkLinkNALink
Quotient RuleLinkLinkLinkLink
Chain RuleLinkLinkLinkLink
Linear ApproximationLinkLinkLinkLink
Implicit DifferentiationLinkLinkLinkLink
Optimization (Intro)LinkLinkLinkLink
Optimization (Modeling)LinkLinkLinkLink
Riemann Sums IntroLinkLinkLinkLink
Riemann Sum NotationLinkLinkLinkLink
Definite IntegralsLinkLinkLinkLink
FTOC 1 - Integrals are AntiderivativesLinkLinkLinkLink
FTOC 2 - variable in boundsLinkLinkLinkLink
Euler’s MethodLink