Math A-Z:Math A-Z:Applets to Zeta

FunctionsApplets to Zeta

Functions

Julia_lott@gilbert.k12.az.us

http://core.gilbert.k12.az.us/testmoodle

Why Use Technology?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 QuestionsEssential 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?Teachers need to enjoy using and teaching math. Julia Lott

AppletsAppletsApplet - a very small application, esp. a utility program performing one or a few simple functions.

ORIGIN 1990s: blend of application and -let .

Applet - a very small application, esp. a utility program performing one or a few simple functions.

ORIGIN 1990s: blend of application and -let .

AppletsAppletsPrimary Intermediate

SecondaryK-12

Primary Intermediate

SecondaryK-12

Building a Box LessonBuilding 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

illegalillegallegal

BloggingBlogging Problem of the week Other Ideas? Problem of the week Other Ideas?

http://www.blogger.com/home

Collaborative

Projects

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

Cryptology and Chaos

Codes Chaos Theory Game Codes Chaos Theory Game

http://www.nationalgeographic.com/ngkids/trythis/secretcodes/semaphore.html

DanceDance Contra Dancing Gazinta Shuffle

Music to move Music to partner

Contra Dancing Gazinta Shuffle

Music to move Music to partner

Design your own Aircraft

Design your own Aircraft

http://www.aeroseek.com/webtrax/fboweb.html

Earth (Google)Earth (Google)

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)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

Estimation

Measure with Toothpicks

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

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

FractalsFractals 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- FractalsJulia Set- Fractals

FireFire 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

GPS Navigation System

GeocachingGeocaching 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

GliffyGliffy

History - Library of Congress

History - Library of Congress

IditarodIditarod

KandinskyKandinsky

Lines- 3-D DesignsLines- 3-D Designs

MintMint 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 $ ProjectMillion $ Project

M & M’s 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

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

On-line Math Practice

Fact Monster Math Magician Math Oympiads

Fact Monster Math Magician Math Oympiads

PolyhedronsPolyhedrons

PolyhedronsPolyhedrons 2

PolyhedronsPolyhedrons 2

Problem SolvingProblem 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

Pigskin Geography-NIE

Geography Stastical Analysis Geography Stastical Analysis

QuiltsQuilts

Rhythm and Math Garage Band

Rhythm and Math Garage Band

Real-Time Projects 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

Stock Market PortfoliosGoogle Docs and

SpreadsheetsGoogle Docs and

Spreadsheets

The Stock Market Game

The Stock Market Game

http://www.stockmarketgame.org/

SpaceSpace AIMS NASA NOAA

AIMS NASA NOAA

Tessellations and Art

Tessellations and Art

EscherEscher

UnitedstreamingUnitedstreaming

QuickTime™ and aSorenson Video 3 decompressorare needed to see this picture.

Visual Manipulatives

Visual Manipulatives

Utah State K-12 Easy

Utah State K-12 Easy

WeatherWeather 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’sWiki’s

Pbwiki Wikispaces

Pbwiki Wikispaces

X and Y AxisX and Y Axis Cartography Graphing Cartography Graphing

Chandra X-Ray Observatory

Chandra X-Ray Observatory

Gen YesGen 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 ParadoxZeno’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 byZero- 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 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.

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

Myth: Mathematically talented students are computation whizzes.

Myth: Mathematically talented students are computation whizzes.

Fact: 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, 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…In this situation… teachers are often tempted to hold students back from learning advanced concepts until their basic 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 basic 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 QuestionsEssential 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!

Let’s Do Math!

http://core.gilbert.k12.az.us/testmoodle

http://core.gilbert.k12.az.us/coreweb