“If we teach today the way we were taught
yesterday we aren't preparing students for today
or tomorrow.”
~Author Unknown
A Vision of K-12
Students Today
Measurable Objective
•Identify ways of enhancing mathematics instruction
through the use of technology
Technology
“Technology is essential in teaching and learning
mathematics; it influences the mathematics that is
taught and enhances students’ learning.”
The Technology Principle
Technology is essential in teaching and learning
mathematics; it influences the mathematics that
is taught and enhances students' learning.
~NCTM, 2000
Role of the Teacher
Teacher decides how
technology will be
utilized…
Representations
 Pictures
 Tables
 Graphs
 Symbols
 Displays
~ NCTM, 2000
How does technology enhance
mathematics instruction?
• Whole class instruction
• Individual students
Technology
“To live, learn, and
work successfully
in an increasingly
complex and
information-rich
society, students
must be able to use
technology
effectively.”
~NCTM, 2005
Technology
Within an effective educational setting,
technology can enable students to become:
 Capable information technology users.
 Information seekers, analyzers, and evaluators.
 Problem solvers and decision makers.
 Creative and effective users of productivity tools.
 Communicators, collaborators, publishers, and
producers.
 Informed, responsible, and contributing citizens.
~ (NETS, 2004)
http://nlvm.usu.edu/en/nav/index.html
http://illuminations.nctm.org/
Think-Pair-Share
What technology and
instructional
websites do you
currently use to
assist your
students with:
 fluency and
learning of basic
facts?
 problem solving?
Instructional Software
Research shows positive effects through…
 Drill and practice tutorials
 Computer programming
Digital Natives
Schools are stuck in the
20th century. Students
have rushed into the 21st.
How can schools catch up
and provide students with a
relevant education?
~Prensky, 2005
Knowledge of the Teacher
Digital Natives (Students)
Digital Immigrants (Teachers)
Multiple multimedia information sources rapidly
Slow controlled information release, limited sources
Parallel process & multi-task
Singular process and single or limited task
Processing order
Picture, Video & Sound—Text
Processing order
Text—Picture, Video & Sound
Random access to interactive media
Linear, logical sequential access
Interact/network simultaneously to many
Interact/network simultaneously to few
Comfortable in virtual and real spaces
Comfortable in real spaces
Prefer interactive/network approach to work
Prefer students to work independently
“Just in time” learners
“Just in case” learners
Instant access, rewards & gratification
Delayed/differed access, rewards & gratification
Learning is relevant, instantly useful and fun
Learning is to teach to the curriculum guide and standardized tests
~ Prensky, 2005
Questions to consider…
 How do you incorporate the use of technology in
your mathematics classroom?
 What evidence have you seen that technology
deepens students’ mathematical understanding?
 How have your instructional design and the
teaching of lessons changed because of
technology?
“If this tool doesn’t dramatically change the way we
teach mathematics and the mathematics we teach,
then we must seriously question our professional
integrity.”
~Frank Demana, Ohio State University professor, 1995
More questions to consider…
 How has technology enabled collaboration with
teachers of other subjects (for example, using
data collected in a science class to further a
mathematics exploration or using population
and demographic information related to a social
studies class as a basis for mathematical
discourse)?
 How do you use technology with special needs
students? With ELL students?
 How do you integrate the use of technology into
your assessment tasks?
Use of Graphing Calculators
Research shows that schools where
students have a personal graphing
calculator for use
outside of class and for homework tend
to report higher achievement.
~Ellington (2003)
Car and Motorcycle Problem
x = motorcycles
y = cars
Other Calculator Keystrokes
Texas Instruments
Taken from:
http://education.ti.com/educationportal/sites/US/sectionHome/classroomactiviti
es.html
Examples of the kinds of technology and
classroom applications that are available:
•WebQuests
•Videostreaming
•Applets
•Podcasts
•Personal digital assistants
•Interactive online learning,
including simulations
•Web pages and blogs
•Digital cameras
•Document cameras
•Electronic white boards
•Spreadsheets
•Animation
•Calculators (including fraction,
graphing, and scientific
calculators)
•Software (including, but not
limited to, interactive geometry
software, dynamic algebra
software, and/or dynamic data
analysis software)
•Environmental probes
•Electronic testing devices
•Data collection devices
•Global positioning systems
“Teachers must become comfortable as colearners with their students and with
colleagues around the world. Today it is less
about staying ahead and more about moving
head as members of dynamic learning
communities. The digital-age teaching
professional must demonstrate a vision of
technology infusion and develop the
technology skills of others. These are the
hallmarks of the new education leader.”
~Don Knezek, ISTE CEO, 2008
"What students should know and
be able to do to learn effectively
and live productively in an
increasingly digital world …”
•Creativity and Innovation
•Communication and
Collaboration
•Research and Information
Fluency
•Critical Thinking, Problem
Solving, and Decision Making
•Digital Citizenship
•Technology Operations and
Concepts
~ ISTE, 2008
The International Society for Technology in
Education (ISTE)National Educational Technology Standards
(NETS•T) and Performance Indicators for
Teachers
1. Facilitate and Inspire Student Learning and Creativity
2. Design and Develop Digital-Age Learning Experiences
and Assessments
3. Model Digital-Age Work and Learning
4. Promote and Model Digital Citizenship and
Responsibility
5. Engage in Professional Growth and Leadership
~ ISTE, 2008
References
Berkas, N. & Pattison, C. (2007). Technology: the unused possibilities. NCTM Bulletin.
Glencoe (2008). Online mathematics learning centers. Located at:
http://www.glencoe.com/sites/florida/student/mathematics/index.html
International Society for Technology in Education (2008). National Educational Technology
Standards. Located at: http://www.iste.org/AM/Template.cfm?Section=NETS.
National Center for Educational Statistics. (2004). The condition of education 2004 in brief.
Located at: http://nces.ed.gov/pubs2006/2006071.pdf
National Council of Teachers of Mathematics. (2000). Principles & Standards for School
Mathematics.
National Council of Teachers of Mathematics (2008). Illuminations.
Located at: http://illuminations.nctm.org/
National Library of Virtual Manipulatives (1999).
Located at: http://nlvm.usu.edu/en/nav/vLibrary.html
Prensky, M. (2005). Listen to the natives. Educational Leadership, 63:4, 8-13.