Apps and Technology Integration in the Secondary Classroom --- EKU September 2018

Strategic Use of Technology

• NCTM Position Statement
  • Support and advance mathematical sense making, reasoning, problem solving, and communication
  • Develop students' understanding, stimulate their interest, and increase their proficiency in mathematics
  • Provide greater access to mathematics for all students
  • Technological tools include those that are both content specific and content neutral
    • Content-specific technologies include computer algebra systems; dynamic geometry environments; interactive applets; handheld computation, data collection, and analysis devices; and computer-based applications
    • Content-neutral technologies include communication and collaboration tools and Web-based digital media
  • Teachers and curriculum developers must be knowledgeable decision makers, skilled in determining when and how technology can enhance students' learning appropriately and effectively
  • All schools and mathematics programs should provide students and teachers with access to instructional technology--including classroom hardware, handheld and lab-based devices with mathematical software and applications, and Web-based resources—together with adequate training to ensure its effective use
  
  
• A Few Types of Technology Use
  • Using technology spontaneously in the course of problem-solving
    • Example: Quick graphing in Desmos
  • Illustrating a concept or process
    • Example: Graph y=mx+b for various values of m and b (Desmos)
  • Asking questions that cannot be asked on paper
    • Example: Determine the Transformation (GeoGebra)
      • Transformation #1
      • Transformation #2
      • Transformation #3
      • Transformation #4
  • Making diagrams that are difficult to do by hand
    • Example: Graph of y^2=x^3+x^2+bx+2b for various values of b (Desmos)
  • Visualizing three-dimensional objects
    • Example: Prisms in SketchUp
  • Generating examples
    • Example: Testing the Pythagorean Theorem (GeoGebra)
  • Making guesses
    • Example: Perpendicular bisectors of a triangle (GeoGebra)
  • Using standard software in innovative ways
    • Example: Spreadsheet Probability Tree
  • Modeling
    • Example: Modeling a Simple Planet (GeoGebra)
  • Supporting reasoning and sense making
    • Example: Joining the midpoints of quadrilaterals
  • Aiding in communication and collaboration
    • Example: Shared documents

Resources

• Desmos
  • Desmos
  • User Guide
  • Tutorials
  • Classroom Activities
  • Picturing Functions Activity
  
  
• SketchUp
  • SketchUp
  • Tutorials
  • SketchUp in Lexington's Middle Schools
    • Introduction to SketchUp
    • Jessie Clark
    • Beaumont
  
  
• GeoGebra
  • GeoGebra
  • Tutorials
  • Quickstart Guide
  • Examples
    • GeoGebra Examples with Quadratics
    • Multiplying by a 2x2 Matrix
    • Adding Complex Numbers
    • Multiplying Complex Numbers
    • Modeling a Simple Planet
  • Classroom Materials
  • Manual
  • GeoGebra Augmented Reality
  
  
• A Very Small Sampling of Other Resources
  • Illuminations
  • Interactivate
  • WolframAlpha
  • iOrnament