Content Relevance Organization Challenge Discourse Methods
 
Exhibition   Presentation of solutions to math problem Sharing with peers, public speaking Introduction, four methods, question/answer Doing this in front of peers, esp. questions Questions and answers from audience Presenting using four different solutions
See four methods of solution (symbolically, graphically, numerically, verbally) detailed below.
Critique Check for accuracy Interesting, creativity, peer feedback Audience completes forms with questions Rating methods, writing strengths and weaknesses Bringing audience into presentations Rating clarity of the four methods
Reflection Considering areas that need improvement Opportunity to fix and improve for next Watch video, do & read critique, reflctn Learn from watching old presentation Discussion with partner Strengths and weaknesses
Revision New course material Chance to fix mistakes and do a better job Same requirements as in previous Harder material and to show improvement Class Q&A, preparation with partner Stronger use of and connections among methods
 
    Content Relevance Organization Challenge Discourse Methods
 
Symbolically   Derivative/Integral techniques Traditional, required expectation Manipulating mathematical symbols Correctly apply math learned in class Common framework for math discussion Core solution method, algebraically
Algebraic steps for solving problems
Graphically Relationships among slopes and areas Visualization xy-Graphs with important points labeled Connect graph to symbolic method Explaining graphs Interpret graph and use it to find solution
xy-Coordinate system and graphs
Numerically Difference quotients & approx. integrals Reasonableness

of results

 Tables Find meaningful way to represent and use data Explaining data, table, and/or approx. methods Data analysis, guess and check, approximation
Relationships between x and y as a function
Verbally Justification for solutions Interesting &/or real world connections Word problems or music, poems, games, etc. Make solutions and presentation interesting Bringing the audience into the presentation Clarifying solutions
Word problems and words into equations

Abby Brown -- Torrey Pines High School, San Diego -- April 19, 2000