HCPS New Teacher Training

1
HCPS New Teacher Training

• Teaching With Technology
• Modified From FL PROMiSE Module

2
Sample Lesson Graphing Trigonometric Functions

• BOK (Bodies of Knowledge) Trigonometric
  Functions Standard 1
• Students extend the definitions of the
  trigonometric functions beyond right triangles
  using the unit circle and they measure angles in
  radians as well as degrees. They draw and analyze
  graphs of trigonometric functions (including
  finding period, amplitude, and phase shift) and
  use them to solve word problems. They define and
  graph inverse trigonometric functions and
  determine values of both trigonometric and
  inverse trigonometric functions
• Benchmark MA912.R.1.6
• Define and graph trigonometric functions using
  domain, range, intercepts, period, amplitude,
  phase shift, vertical shift, and asymptotes with
  and without the use of graphing technology.

3
Sample Lesson Graphing Trigonometric Functions

• Exploration using the
• Graphing Calculator

4
Review
5
TrigonometryHow does a change the graph as it
relates to y sin(x)?
y a sin b(x c) d
6
Trigonometry How does c change the graph as
it relates to y sin(x)?
y a sin b(x c) d
7
Trigonometry
Without using a graphing utility, describe the
following graphs as they relate to y sin(x).
8
Trigonometry

• Suppose graphing calculators are not available,
  what are other ways we could teach this lesson
  utilizing technology?

9
Trigonometry

• Exploration using an Online Applet
• Teacher directed/whole class

10
y a sin b(x c) d
11
Lets investigate what happens when the values
for a and h are changed.
12
Reflection

• What is the role of the teacher and students?
• Did the lesson keep you actively engaged? Why?
• What are advantages/disadvantages for each?
• Graphing Calculator
• PPP
• What considerations must teachers make if they
  would like to use graphing calculators?
• How could PowerPoint help teachers and students
  manage make-up work?

13
Teaching and Learning with Technology

• Visual Representation of Mathematical Ideas
• Example National Library of Virtual
  Manipulatives

14
Example Visualizing Mathematics

• Modeling multiplication of algebraic expressions

15
Example Visualizing Mathematics

• NCTM Illuminations
• www.illuminations.nctm.org/
• Activities Lessons
• Available Free of Charge

16
Example Visualizing Mathematics

• Multiple Examples
• Students Make Test Conjectures

17
Focus on Concepts rather than Computations

• Using the Graphing Calculator
• Texas Instruments
• Activity Center

18
Other Available Tools

• GeoGebra
• A freeware version
• The Geometers Sketchpad Cabri Geometry
• Dynamic construction demonstration tools
• Fathom
• Software to help students learn about data
• Maple Mathematica
• Both are very powerful Computer Algebra Systems
• Both have activities/demonstrations appropriate
  for high school courses
• Florida Center for Instructional Technology
• Wealth of Resources for teachers (Lit2Go,
  Clipart, FCAT lessons)

19
Producing Mathematically Accurate Presentations

• Equation Editor (as part of Word or PPP)
• Allows you to Express Mathematics accurately as
  part of Presentation or Worksheets
• Without EE With EE

_____ \ x 3 x 5
20
Producing Mathematically Accurate Presentations

• WinPlot and TI-Screen Capture (as part of Word or
  PPP)
• Allows you to Express Mathematical representation
  as part of Presentations or Worksheets

Screen Capture of TI Calculator
Graph created using WinPlot
21
Tools for Increased Productivity

• Test Generating Software
• Every textbook publisher offers one
• Others commercially available as well
• Generate multiple versions of same test easily

22
Support Student Learning

• Online access to mathematics resources
• Tutoring (e.g., Dr. Math)
• Mathematics Dictionaries with examples
• FCAT Explorer

23
Textbook Support for Students

• Textbook Websites
• Usually have practice tests and/or quizzes
• Also have other resources tied directly to the
  text.
• Floridas adopted Algebra 1 texts
• Glencoe
• Holt, Rhinehart, Winston
• Key Curriculum Press
• McDougal Littell
• Prentice Hall

24
Technology Mathematics

• Is it important to use technology to teach
  mathematics? Why or why not?
• What are appropriate uses of technology?
  Inappropriate uses?
• What should you consider when deciding to use
  technology or not?

25
NCTM Position on Technology

• Technology is an essential tool for learning
  mathematics in the 21st century, and all schools
  must ensure that all their students have access
  to technology. Effective teachers maximize the
  potential of technology to develop students
  understanding, stimulate their interest, and
  increase their proficiency in mathematics. When
  technology is used strategically, it can provide
  access to mathematics for all students.
• Full position statement

26
Uses of Technology

• Teacher productivity
• Producing Mathematically accurate representations
• Keeping and recording class information
• Student Supports
• Example Ask Dr. Math
• Textbook Websites

27
Summary Uses of Technology to Support Teaching
and Learning of Math

• Allows the visualization of concepts difficult to
  show otherwise.
• Allows the examination of multiple examples with
  ease.
• Allows a focus on concepts rather than
  calculations
• Allows access to real-time data to make
  mathematics relevant to students.
• (e.g., use of real world examples such as orange
  production in Florida for analysis).
• Allows student to make and test conjectures.
• What happens when
• Promotes student independence in mathematical
  problem-solving.
• Reinforces mathematics learning.

28
Coming Soon

• An online Curriculum Planning Tool
• Access will be through the Florida Standards
  Database

29
What?

• The CPT will
• Increase access for all teachers to high quality
  information and resources aligned with the
  standards.
• Support the delivery of teacher professional
  development.
• Support teacher application of new content and
  pedagogical knowledge in the classroom.

30
How?

• The CPT will include the following
• Searchable database of standards and benchmarks
• Levels of cognitive complexity for each benchmark
• Mathematics and Science Course Descriptions
• Course builder tool for districts
• Electronic course approval system
• Online PD on the use of course descriptions

31
WHEN?

• It will be launched during 2008-09 school year.

32
Wrap up

• Weve only touched the surface of whats
  available.
• Dont be afraid to learn from your student.
• It is better than struggling and failing or
  avoiding it altogether.
• Just like any tool, technology only helps when
  used correctly/appropriately.