Math A-Z: Applets to Zeta Functions [email_address] http://core.gilbert.k12.az.us/testmoodle

Applets to Zeta Functions

Why Use Technology? The most important message of the NCTM Principles and Standards : Students must be fluent in arithmetic computation -- they must have efficient and accurate methods, and understand them. Students should know their basic addition, subtraction, multiplication and division combinations.

The most important message of the NCTM Principles and Standards :

Students must be fluent in arithmetic computation -- they must have efficient and accurate methods, and understand them. Students should know their basic addition, subtraction, multiplication and division combinations.

Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances student learning. It needs to be used wisely, by well-informed teachers, to support understanding.

Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances student learning. It needs to be used wisely, by well-informed teachers, to support understanding.

Teachers need to know and use "mathematics for teaching" … April 2006 http://www.nctm.org/standards/pressrelease.htm

Teachers need to know and use "mathematics for teaching" …

April 2006 http://www.nctm.org/standards/pressrelease.htm

Essential Questions Do they like math? Can they do math? Do they want to do math? Teachers need to enjoy using and teaching math. Julia Lott

Do they like math?

Can they do math?

Do they want to do math?

Applets Applet - a very small application, esp. a utility program performing one or a few simple functions. ORIGIN 1990s: blend of application and -let .

Applets Primary Intermediate Secondary K-12

Primary

Intermediate

Secondary

K-12

Building a Box Lesson Preview - Nets Practice-5 squares (Open Box) Problem-6 squares (Closed Box) Pattern = box Plain = no box

Preview - Nets

Practice-5 squares (Open Box)

Problem-6 squares (Closed Box)

Pattern = box

Plain = no box

Blogging Problem of the week Other Ideas? http://www.blogger.com/home

Problem of the week

Other Ideas?

Collaborative Projects Down the Drain Square of Life The Global Water Project http://www.k12science.org/collabprojs.html

Down the Drain

Square of Life

The Global Water Project

http://www.k12science.org/collabprojs.html

Cryptology and Chaos Codes C haos Theory Game http://www.nationalgeographic.com/ngkids/trythis/secretcodes/semaphore.html

Codes

C haos Theory Game

Dance Contra Dancing Gazinta Shuffle Music to move Music to partner

Contra Dancing

Gazinta Shuffle

Music to move

Music to partner

Design your own Aircraft http://www. aeroseek . com/webtrax/fboweb .html

Earth (Google)

Earth (Google) File a flight plan Calculate fuel costs Find cost per passenger mile Distance to destination Elapsed flight time

File a flight plan

Calculate fuel costs

Find cost per passenger mile

Distance to destination

Elapsed flight time

Earth (Google) Measurement tool Conversions, Area of Shapes Word problems in placemarks would be fun. If a train is leaving Albany at 50 mph… Math scavenger hunts log the locations they visit in order, measure the total distance

Measurement tool

Conversions,

Area of Shapes

Word problems in placemarks would be fun. If a train is leaving Albany at 50 mph…

Math scavenger hunts

log the locations they visit in order,

measure the total distance

Estimation Measure with Toothpicks http://www.sciencenetlinks.com/lessons.cfm?DocID=243

http://www.sciencenetlinks.com/lessons.cfm?DocID=243

Fractals What is a Fractal? What do fractals look like? How do I make one?

What is a Fractal?

What do fractals look like?

How do I make one?

Julia Set- Fractals

My Fractal Slide Show

My Fractal Slide Show

My Fractal Slide Show

My Fractal Slide Show

My Fractal Slide Show The End

Fire Aligned to National Standards Teachers instructions Student handouts/worksheet On-line tools incorporated Overview + Five lessons

Aligned to National Standards

Teachers instructions

Student handouts/worksheet

On-line tools incorporated

Overview + Five lessons

GPS Navigation System

Geocaching Integrate Math and Language Arts Techie Math Trails Tools Digital Cameras Calculators Yardsticks Products Presentations Webpages and Wikis Spreadsheets

Integrate Math and Language Arts

Techie Math Trails

Tools

Digital Cameras

Calculators

Yardsticks

Products

Presentations

Webpages and Wikis

Spreadsheets

Gliffy

History - Library of Congress

Iditarod

Kandinsky

Lines- 3-D Designs

Mint Earning - Careers Spending - Checkbook Saving - Credit Cards Investing - Interest Rates Renting - Owning

Earning - Careers

Spending - Checkbook

Saving - Credit Cards

Investing - Interest Rates

Renting - Owning

Million $ Project

M & M ’s Counting and colors Cells Calculations % Comparison Differences Statistical Analysis

Counting and colors

Cells

Calculations %

Comparison

Differences

Statistical Analysis

Numb3rs, TI and NCTM Real-life applications Activities are already created 2-3 lessons per episode 6th Grade +

Real-life applications

Activities are already created

2-3 lessons per episode

6th Grade +

On-line Math Practice Fact Monster Math Magician Math Oympiads

Fact Monster

Math Magician

Math Oympiads

Polyhedrons Polyhedrons Polyhedrons 2

Polyhedrons

Polyhedrons 2

Problem Solving Problem of the Week http://mathcounts.org/ Strategies Guess & Check Make a List Tools Calculators GPS Navigators Spreadsheets

Problem of the Week

http://mathcounts.org/

Strategies

Guess & Check

Make a List

Tools

Calculators

GPS Navigators

Spreadsheets

Pigskin Geography-NIE Geography Stastical Analysis

Geography

Stastical Analysis

Quilts

Rhythm and Math Garage Band

Real-Time Projects The Center for Innovation in Engineering and Science Education (CIECE) Stowaway Adventure Gulf Stream Voyage Air pollution Navigational Vectors Musical Plates http://www.k12science. org/currichome .html

The Center for Innovation in Engineering and Science Education (CIECE)

Stowaway Adventure

Gulf Stream Voyage

Air pollution

Navigational Vectors

Musical Plates

http://www.k12science. org/currichome .html

Stock Market Portfolios Google Docs and Spreadsheets

Google Docs and Spreadsheets

The Stock Market Game http://www. stockmarketgame .org/

Space AIMS NASA NOAA

AIMS

NASA

NOAA

Tessellations and Art Escher

Escher

Unitedstreaming

Visual Manipulatives Utah State K-12 Easy

Utah State

K-12

Easy

Weather Air Pollution Weather Scope Wonderful World of Weather Other Real-time Units

Air Pollution

Weather Scope

Wonderful World of Weather

Other Real-time Units

Wiki’s Pbwiki Wikispaces

Pbwiki

Wikispaces

X and Y Axis Cartography Graphing

Cartography

Graphing

Chandra X-Ray Observatory

Gen Yes GenYES student and their partner-teacher Technology skills Planning and collaboration, Authentic long-term projects. Project-based learning experience

GenYES student and their partner-teacher

Technology skills

Planning and collaboration,

Authentic long-term projects.

Project-based learning experience

Zeno’s Paradox The great Greek philosopher Zeno of Elea (born sometime between 495 and 480 B.C.) proposed four paradoxes in an effort to challenge the accepted notions of space and time that he encountered in various philosophical circles. His paradoxes confounded mathematicians for centuries, and it wasn't until Cantor's development (in the 1860's and 1870's) of the theory of infinite sets that the paradoxes could be fully resolved.

The great Greek philosopher Zeno of Elea (born sometime between 495 and 480 B.C.) proposed four paradoxes in an effort to challenge the accepted notions of space and time that he encountered in various philosophical circles. His paradoxes confounded mathematicians for centuries, and it wasn't until Cantor's development (in the 1860's and 1870's) of the theory of infinite sets that the paradoxes could be fully resolved.

Zero- Dividing by Division by zero is an operation for which you cannot find an answer, so it is disallowed. You can understand why if you think about how division and multiplication are related. 12 divided by 6 is 2 because 6 times 2 is 12 12 divided by 0 is x would mean that 0 times x = 12 But no value would work for x because 0 times any number is 0. So division by zero doesn't work. - Doctor Robert

Division by zero is an operation for which you cannot find an answer, so it is disallowed. You can understand why if you think about how division and multiplication are related.

12 divided by 6 is 2 because 6 times 2 is 12

12 divided by 0 is x would mean that 0 times x = 12

But no value would work for x because 0 times any number is 0. So division by zero doesn't work.

- Doctor Robert

Zeta Function The Riemann zeta function is an extremely important special function of mathematics and physics that arises in definite integration and is intimately related with very deep results surrounding the prime number theorem.

The Riemann zeta function is an extremely important special function of mathematics and physics that arises in definite integration and is intimately related with very deep results surrounding the prime number theorem.

Math literacy is every teacher’s responsibility. Intel Teach- Essentials Course Version 10

Intel Teach- Essentials Course Version 10

Myth: Mathematically talented students are computation whizzes.

Fact: Research has shown that many mathematically talented students can have an excellent understanding of advanced mathematical concepts while simultaneously having relatively less developed computation skills (Lupkowki-Shoplik, Sayler, & Assouline, 1994; Rotigel, 2000) .

Research has shown that many mathematically talented students can have an excellent understanding of advanced mathematical concepts while simultaneously having relatively less developed computation skills

(Lupkowki-Shoplik, Sayler, & Assouline, 1994; Rotigel, 2000) .

For example, Julia has an excellent understanding of how to multiply fractions, but she often makes mistakes when adding a column of figures.

Julia has an excellent understanding of how to multiply fractions, but she often makes mistakes when adding a column of figures.

In this situation… teachers are often tempted to hold students back from learning advanced concepts until their b asic skills catch up. This is unfair to the student and may actually be detrimental to his or her mathematical development. Developing Mathematical Talent: A Guide for Challenging and Educating Gifted Students .

teachers are often tempted to hold students back from learning advanced concepts until their b asic skills catch up. This is unfair to the student and may actually be detrimental to his or her mathematical development.

Developing Mathematical Talent: A Guide for Challenging and Educating Gifted Students .

Essential Questions Do they like math? Can they do math? Do they want to do math?

Do they like math?

Can they do math?

Do they want to do math?

Let’s Do Math!

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