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

Technology in the Classroom

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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.

Introduction

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The Technology Principle

Motivation

• Technology enhances mathematics learning.

• Technology supports effective mathematics teaching.

* NCTM Principles and Standards for School Mathematics, NCTM, 2000.

• Technology influences what mathematics is taught.

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Impact of Technology on the Mathematics Curriculum*

Motivation

• Some mathematics becomes more important because technology requires it.

• Some mathematics becomes less important because technology replaces it.

* NCTM Curriculum and Evaluation Standards for School Mathematics, 1989.

• Some mathematics becomes possible because technology allows it.

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Pennsylvania Council of Teachers of Mathematics.

Professional OrganizationsPositions on

Calculator Usage.

National Council of Teachers of Mathematics.

Show some calculators.

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Dessaret, Deridder, and Ellington’s article.

Research Findingson Calculator Usage.

Gail Burrill’s article.

NAEP article on actual usages of technology.

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Some reasons for using calculators -

Calculators

• As an aid in learning problem solving.

• Just because it is better

• To better understand mathematical concepts.

• Making mathematical problems more realistic.

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The “warm-up” problem and its significance.

Calculator Examples

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Part two of the text has 125 motivational devices.

REMINDER

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Calculator Examples

• the square root of 234.567 by

• Euclid's algorithm,

• by logs,

• and by calculator.

00'70'56.34'21

1

11 342( )5

5 .

1 259 5630 ( )3

3

9 0945 70306 ( )1

1

30 6115 09 etc.

5.0567.234567.234 = anti log (0.5 * log 234.567)

= anti log (0.5 * 2.3702669)

= anti log (1.1851335)

= 15.3155803

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Able was I ere I saw Elba.

Calculator ExamplePalindromes

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.

A palindrome is a number that reads the same forwards and backwards.

Try 85 and 288 and your birth year.

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• Enter the number of the month you were born into the calculator.

Calculator ExampleThe Birthday Mathematics Test

• Multiply by 4.

• Add unlucky 13.

• Multiply that answer be 25.

• Subtract two hundred.

• Add the day of the month on which you were born.

• Double the answer.

•Subtract 40.

•Multiply by 50.

•Add the last two digits of your birth year.•Think of a whole number between 10,499 and 10, 501 and subtract it from your answer.•The number in the calculator register should be the month/day/year of your birth

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This is a true story about two young lovers. One was named 3859 x 2

Calculator ExampleCalculator Fiction

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….

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.

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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

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• Programming. (Should not replace math.)

•Flow charting

•Logic

Computers

• Remediation drill.

• Recreational Mathematics.• CAI - Computer Assisted Instruction.

Some of the uses for computers in the school classroom include the following.

• Investigating curiosities.• Grading.• Lesson planning.

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• Medians of a triangle concur.

Sample Computer Uses

• Ryan’s theorem.

• Others

• Midpoints of the sides of a quadrilateral form a ??

Geometer’s Sketchpad

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Impact of Technology on the Mathematics Curriculum*

Motivation

• Some mathematics becomes more important because technology requires it.

• Some mathematics becomes less important because technology replaces it.

* NCTM Curriculum and Evaluation Standards for School Mathematics, 1989.

• Some mathematics becomes possible because technology allows it.

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Handouts

If not previously done pass out the handouts on:

• NCTM/PCTM Positions,

• Burrill article,

• Dessart article, and

• NAEP research.

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Assignment

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