2. June 2003 Mara Alagic 1 COLLABORATIVE INQUIRY INTO MATHEMATICS AND TECHNOLOGY Mara Alagic

3. June 2003 Mara Alagic 2 Pythagorean Theorem  What does it say?  What kind of a triangle are we talking about?  Example: Pythagorean triples (3, 4, 5)  9+16 = 25. Other triples?  How does that make sense to you?  Proof anyone? What are you visualizing?  Demonstration? (Water-Demo, Behold) Water-DemoBeholdWater-DemoBehold

4. June 2003 Mara Alagic 3 Pythagorean Theorem: Comments  Grade Level?  Adaptations?  Richness?  Open-ended?  Multiple representations?

5. June 2003 Mara Alagic 4 The Technology Principle in School Mathematics Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning. Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning. (http://standards.nctm.org/document/chapter2/techn.htm) http://standards.nctm.org/document/chapter2/techn.htm

6. June 2003 Mara Alagic 5 Connecting Curriculum & Technology (1)  connect to the content  support a variety of educational settings  encourage collaboration and cooperative learning  support a variety of learning styles and needs  differentiate instruction as needed

7. June 2003 Mara Alagic 6 Connecting Curriculum and Technology (2)  Design activities that use technology to provide access for all students.  Plan lessons that include current technology and curricular standards for a given grade level in their content area International Society for Technology in Education. (2000). National educational technology standards for students: Connecting curriculum and technology International Society for Technology in Education. (2000). National educational technology standards for students: Connecting curriculum and technology

8. June 2003 Mara Alagic 7 Technology in Education ...  Multimedia/Hypermedia  Calculators  Computers

9. June 2003 Mara Alagic 8 Mathematics is...  An examination of patterns and relationships?  A tool?  An art?  A language?  Mathematics is interdisciplinary? ... ?

10. June 2003 Mara Alagic 9 Technology & Mathematics (1)   Does technology enhance mathematics learning? Explain.   Does technology support effective mathematics teaching? Explain.   Does technology influence what mathematics is taught? Explain.

11. June 2003 Mara Alagic 10 Technology & Mathematics (2)  How does technology enhance mathematics learning?  Representations and visualization  How does technology support effective mathematics teaching?  Graphing, visualizing, computing

12. June 2003 Mara Alagic 11 Technology & Mathematics (3)  How does technology influence what mathematics is taught?  Elementary Large numbers, Large sets of data,...Large numbers, Large sets of data,...  Middle Linear relationships, dynamic geometryLinear relationships, dynamic geometry  High Simulations, sample distributions, dynamic geometrySimulations, sample distributions, dynamic geometry