Morning Work Session Topics

 

"Visit My Classroom"

My cart comes with a laptop, a projector, and a "bamboo and stylus" with which I write notes which I post daily to the web. Mostly I lecture a little and keep quiet a lot so students can do their work then share work with those around them. I have spreadsheets, a Geometry Sketch pad page or two, manipulatives/models, and games to teach the "point" better than a lecture.

 

"Math Class Languages and Pedagogy"

The 20 or so "languages" with which I present material has four major language families: VERBAL/Auditory, WRITTEN/Symbolic, PICTORIAL/Visual, and CONCRETE/Kinesthetic. These languages are the motivation for the pedagogy.

 

"Forty+ Years of Math Teaching Experience and Techniques in Four+ Hours"

From whole number, decimal, fraction representation and computation to percents, area formulas, teacher education topics, prealgebra, algebras, and statistics, to precalc and calc, I've collected a few trick of the trade. Examine them. Maybe even have a little fun.

 

Afternoon Work Session Topics

 

"Forty+ Years of Math Teaching Experience and Techniques in Four+ Hours, Continued"

More of the same.

Hi. Welcome to my class.

 

We will be doing things with an asterisk. We will be skipping things with no asterisk.

Feel free to examine them if you wish.

 

The workshop is mostly a lecture with detours in which participants can work on the material presented.

 

• Please read this letter.
• *"Everything with the tablet was really sick."
• *How Sick

Operations With Whole Numbers

Operations With Fractions

Operations With Decimals and Percents

Algebra Basics

First Degree Equations and Inequalities in One Variable

Systems of Linear Equations in Two Variables

Exploring Functions Through Manipulatives

Teacher Ed

Statistics

Precalc

Calc

One Last Use of Technology

Operations With Whole Numbers

• *The Hundreds Board -- page and images
• *The Hundreds Board -- Digital Manipulative and master page for multiples
• page 40, 50 - Whole Number Addition and Subtraction and Multiplication and Division with multiples masters
• *A Game for Two Players
• *A Game for Two Players Digital Manipulative as 42.xls
• *Prime Numbers Presented Logically as prime.xls
• Recognition of Prime Numbers Exercise for Students in a Lab
• slide rule
• *slide.xls - slide rule digital manipulative
• Someone's Powers of 10

Operations With Fractions

• So, What's A Fraction?
• *fract.xls -- Movable fraction bars from 1/1 to 1/15 on multiple sheets
• Why "Invert and Multiply" When Dividing FRACTIONS
• Multiple Strips & Fraction Bars
• *strips.xls --DIGITAL MANIPULATIVE on a spreadsheet with multiple strips & fraction bars
• Fraction Computation Stated in Symbolic Form (so you do not have to bother writing it out)
• *Lessons in Dictionary
• *Dictionary

Operations With Decimals and Percents

• *compute.xls
• *compute areas and volumes with area.xls

Algebra Basics and
First Degree Equations and Inequalities in One Variable

• *Invisible Ones
• *Term Tiles & Tokens
• *A Number, Zero, the Opposite, "Zero Out" to Simplify and Solve
• Tough Topics to Teach
• *Digital Manipulatives Spread Sheets:
      (for students, basic tiles only) tiles.xls
      (for students, basic + hot cells) create.xls
      (for teacher and to supplement students', all tiles, tokens, hot cells) hot.xls
• Unit 17: Algebraic Multiplication
  *student work on a test

  

  

• The Square of the Difference of Two Numbers.
  *** On the spreadsheet, use term tiles to compute the square of the difference of two numbers.
  *** With manipulatives try to assemble the cube of the difference of two numbers.
• Source page
• Appendix and Masters and Digital Manipulatives
• "Who Has" Linear Expressions Game
• Code, Semi-equations/semi-expressions

Systems of Linear Equations in Two Variables

• Solve A Systems of Linear Equations by Term Tiles
• *cramers.xls
• Solve Systems of Equations Graphically answers

Exploring Functions Through Manipulatives

• Entire Book
• Lecture Handout
• *Please wait to do Graph by Placement
• more graphing
• *solving
• *raw masters
• absolute value dilator in hand
• *Slopemeter w/movement
• *"Math Exercises."
• Math Exercises web page

Teacher Ed

• nomogrf.xls -- Nomograph for whole, signed, fraction, decimal computation webpage
• The Decimal Bakery
• Napier's Bones spreadsheet webpage
• *Area Formulas spreadsheet
• Assessment Inventory -- A Journey with Self-Assessment as a Compass
• *Math Tokens

Statistics

• Hypothesis Tests
• *Spreadsheet to write Hypothesis Tests
• Other Stuff

Precalc

• Name it with a title to make it more concrete and for better recall
  *2 mile race (visual with auditory and kinesthetic)
  *basic Veronica's bow tie
• internet trig reasources at c33pg00.htm
• *central angle, clockwise/counter-clockwise, coterminal, negative/positive angle measure
• *Choose paper or spreadsheet
        masters
• The Unit Circle
  *web, static, but with color
  *web, active
        The Animated Unit Circle. - animation w/text.
• The Usual Way vs. The Active Way
  *sine/cosine only, web active
  *quadrantals notes the usual way
  *sine and cosine graphed
  *write on similar triangles
  tangent actively
• Proofs
  *Pythagorean Identities -- graphically and by hand symbolically
  *Examine odd/even identities
• Blank paper
      3 planes per page, gif
      3 planes per page, web
      *Other graph papers
• *Review with Explorer
• *Library of connect-the-dots puzzles/worksheets
• *Assign students to build a cheat sheet and continue
• *Curve shift with sine sine on a spreadsheet
• *poly.xls
• *Other spreadsheets

Calc

• *Take a derivative with a pencil
• *Casa Omar answers
• Other Connect-the-Dots

One Last Use of Technology

• Review with Windows Explorer.