“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

•Identify ways of enhancing mathematics instruction through the use of technology

Measurable Objective

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

PicturesTablesGraphsSymbolsDisplays

~ 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

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)

Within an effective educational setting, technology can enable students to become:

Technology

http://nlvm.usu.edu/en/nav/index.html

http://illuminations.nctm.org/

Think-Pair-ShareWhat 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 tutorialsComputer 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 orderPicture, Video & Sound—Text

Processing orderText—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 useoutside 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/classroomactivities.html

•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

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

“Teachers must become comfortable as co-learners 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

ReferencesBerkas, 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.