Frameworks in Mathematics
SAMR Model
Enhancement
Substitution
Making use of a TVM App on Phone rather than using a Graphing Calculator Program
https://apps.apple.com/ca/app/ez-financial-calculators/id494170744
Augmentation
Excel for Graphing of data to save time verses by hand
Transformation
Modification
Students do problems in graphing via a Desmos Quiz, receiving automated, live, or timely feedback from teacher to support learning. https://teacher.desmos.com/activitybuilder
Redefinition
Exploring the parameters of equations through transformations using sliders to created deep understanding of what happens and then share in the collaboration feature of Desmos. "Create a parabola for your peers to determine the formula and transformation instructions from the standard non transformed base." https://teacher.desmos.com/
TPACK Model
Content Knowledge
Expectations:
-manipulate algebraic expressions as needed to understand quadratic relations
-Identify characteristics of quadratic relations
-solve problems by interpreting graphs of quadratic relations
Transformations of function
Relationship of equations, graphs, and data tables
Pedagogical Knoweldge
Timely and Frequent Feedback
-automated
-live feedback
-peer feedback
Hands On Opportunity to Explore
-creation
-manipulation
Open Ended Task
-loose parameters allows students to make transformations as complex or as simple as they choose
Collaborative Learning
-learning from each other
-challenging each other
-making use of success criteria to assess each other's work
Technological Knowledge
Tools:
-Excel
-Demos
-Desmos Activities
-Desmos Collaboration