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Technology in the Classroom

Technology in the Classroom. The student will see some of the research involving technology usage in education and see several examples of it usage. Introduction.

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Technology in the Classroom

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  1. Technology in the Classroom The student will see some of the research involving technology usage in education and see several examples of it usage.

  2. Introduction Today’s lesson is on the use of technology in teaching and learning. It covers the research findings in this area as well as several demonstrations of the use of technology in planning lessons.

  3. Motivation The Technology Principle • Technology enhances mathematics learning. • Technology supports effective mathematics teaching. • Technology influences what mathematics is taught. * NCTM Principles and Standards for School Mathematics, NCTM, 2000.

  4. Motivation Impact of Technology on the Mathematics Curriculum* • Some mathematics becomes more important because technology requires it. • Some mathematics becomes less important because technology replaces it. • Some mathematics becomes possible because technology allows it. * NCTM Curriculum and Evaluation Standards for School Mathematics, 1989.

  5. Professional OrganizationsPositions onCalculator Usage. National Council of Teachers of Mathematics. Pennsylvania Council of Teachers of Mathematics. Show some calculators.

  6. Research Findingson Calculator Usage. Gail Burrill’s article. Dessaret, Deridder, and Ellington’s article. NAEP article on actual usages of technology.

  7. Calculators Some reasons for using calculators - • To better understand mathematical concepts. • As an aid in learning problem solving. • Making mathematical problems more realistic. • Just because it is better

  8. Calculator Examples The “warm-up” problem and its significance.

  9. REMINDER Part two of the text has 125 motivational devices.

  10. Calculator Examples • the square root of 234.567 by • Euclid's algorithm, 1 5 . 3 1 • by logs, 1 1 2( ) 5 1 34 1 25 = anti log (0.5 * log 234.567) 30 ( ) 3 9 56 9 09 = anti log (0.5 * 2.3702669) 306 ( ) 1 45 70 = anti log (1.1851335) 30 61 = 15.3155803 15 09 etc. • andby calculator.

  11. Calculator ExamplePalindromes Able was I ere I saw Elba. A palindrome is a number that reads the same forwards and backwards. A palindrome can be made from a whole number by reversing the digits and adding. The number 83 takes one step. 83 + 38 = 121 815 takes two steps. 815 + 518 = 1333 + 3331 = 4664. Try 85 and 288 and your birth year.

  12. Calculator ExampleThe Birthday Mathematics Test • Enter the number of the month you were born into the calculator. • Subtract 40. • Multiply by 50. • Add the last two digits of your birth year. • Multiply by 4. • Add unlucky 13. • Think of a whole number between 10,499 and 10, 501 and subtract it from your answer. • Multiply that answer be 25. • Subtract two hundred. • Add the day of the month on which you were born. • The number in the calculator register should be the month/day/year of your birth • Double the answer.

  13. Calculator ExampleCalculator Fiction 0.7734 0.7734 This is a true story about two young lovers. One was named 3859 x 2 and the other was named 11315.1 / 3. They loved each other but there were some things that made them hate each other too. He hated the way she would 9.4154 x 4 and she despised him for being 353.8 x 100. One day 26401.9 / .70 got the 6720.77 x 800 so bad that she couldn’t stop. 385.9 x 20 became so mad….

  14. Calculator ExampleDay of the Week You Were Born. Let A = number of days from the first of the year to and not including the day of the event. Let B = the year of the occurrence. Add A + B + [nearest integer] ((B – 1)/4) + [nearest integer] ((B – 1)/400) Then subtract [nearest integer] ((b – 1)/100) End by dividing by 7 and taking the remainder. The remainder will indicate your day of birth – 1 for Sunday, 2 for Monday, 3 for Tuesday, 4 for Wednesday, 5 for Thursday, 6 for Friday, and 0 for Saturday. Carl Gauss

  15. Computers Some of the uses for computers in the school classroom include the following. • Remediation drill. • CAI - Computer Assisted Instruction. • Recreational Mathematics. • Programming. (Should not replace math.) • Flow charting • Logic • Investigating curiosities. • Grading. • Lesson planning.

  16. Sample Computer Uses Geometer’s Sketchpad • Medians of a triangle concur. • Midpoints of the sides of a quadrilateral form a ?? • Ryan’s theorem. • Others

  17. Motivation Impact of Technology on the Mathematics Curriculum* • Some mathematics becomes more important because technology requires it. • Some mathematics becomes less important because technology replaces it. • Some mathematics becomes possible because technology allows it. * NCTM Curriculum and Evaluation Standards for School Mathematics, 1989.

  18. Handouts • If not previously done pass out the handouts on: • NCTM/PCTM Positions, • Burrill article, • Dessart article, and • NAEP research.

  19. Assignment Get a classmate or peer to watch you give your teaching geometry / calculus / statistics lesson.

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