Frameworks in Mathematics

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Frameworks in Mathematics

TPACK Model

Technological Knowledge

Tools: -Excel -Demos -Desmos Activities -Desmos Collaboration

Pedagogical Knoweldge

Collaborative Learning -learning from each other -challenging each other -making use of success criteria to assess each other's work

Open Ended Task -loose parameters allows students to make transformations as complex or as simple as they choose

Hands On Opportunity to Explore -creation -manipulation

Timely and Frequent Feedback -automated -live feedback -peer feedback

Content Knowledge

Relationship of equations, graphs, and data tables

Transformations of function

Expectations: -manipulate algebraic expressions as needed to understand quadratic relations -Identify characteristics of quadratic relations -solve problems by interpreting graphs of quadratic relations

SAMR Model

Transformation

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/

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

Enhancement

Augmentation

Excel for Graphing of data to save time verses by hand

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