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“If we teach today the way we were taught yesterday we aren't preparing students for today or tomorrow.” ~Author Unknown
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A Vision of K-12 Students Today
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Identify ways of enhancing mathematics instruction through the use of technology Measurable Objective
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Technology “Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students’ learning.”
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The Technology Principle Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning. ~NCTM, 2000
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Role of the Teacher Teacher decides how technology will be utilized…
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Representations Pictures Tables Graphs Symbols Displays ~ NCTM, 2000
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How does technology enhance mathematics instruction? Whole class instruction Individual students
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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
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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
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http:// nlvm.usu.edu/en/nav/index.html
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http://illuminations.nctm.org/
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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?
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Instructional Software Research shows positive effects through… Drill and practice tutorials Computer programming
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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
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Knowledge of the Teacher
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Digital Natives (Students)Digital Immigrants (Teachers) Multiple multimedia information sources rapidlySlow controlled information release, limited sources Parallel process & multi-taskSingular process and single or limited task Processing order Picture, Video & Sound—Text Processing order Text—Picture, Video & Sound Random access to interactive mediaLinear, logical sequential access Interact/network simultaneously to manyInteract/network simultaneously to few Comfortable in virtual and real spacesComfortable in real spaces Prefer interactive/network approach to workPrefer students to work independently “Just in time” learners“Just in case” learners Instant access, rewards & gratificationDelayed/differed access, rewards & gratification Learning is relevant, instantly useful and funLearning is to teach to the curriculum guide and standardized tests ~ Prensky, 2005
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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?
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“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
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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?
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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)
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Car and Motorcycle Problem x = motorcycles y = cars
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Other Calculator Keystrokes
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Texas Instruments Taken from: http://education.ti.com/educationportal/sites/US/sectionHome/classroomactiviti es.html
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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
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“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
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"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
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The International Society for Technology in Education (ISTE)- National Educational Technology Standards (NETST) 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
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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.htmlttp://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.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.pdfhttp://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/http://illuminations.nctm.org/ National Library of Virtual Manipulatives (1999). Located at: http://nlvm.usu.edu/en/nav/vLibrary.htmlhttp://nlvm.usu.edu/en/nav/vLibrary.html Prensky, M. (2005). Listen to the natives. Educational Leadership, 63:4, 8-13.
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