mathnstuff.com on video

• Prime Check Box Activity
• So, What's A Fraction? & Zero(s) In Fractions
• Make a Hexagon
• "The Decimal Bakery - A Math Fairy Tale" Web Pages
• The Books on the Shelf - A Read Aloud Math Book Video

• First Day Of Class, Fall 2024
• First Day Of Class, Spring 2024
• Grading Policy & Course Grade, Spring 2024
• 8.3 Arc Functons (In Precalc)
• Slope Song
• Resources for Teaching Functions in Developmental Math, Precalc, & Calc I
• So, What's A Fraction? & Zero(s) In Fractions
• Precalc & Calc I Inside Front & Back Cover Quick Reference Material
• Angles in Standard Position
• Angle Measure
• Radians & Sectors Using the radianSector.gsp
• Take A Derivative by Singing!
• Statistics I in 2.5 Hours
• A Guided Tour of The Spreadsheet stat.xls
• A Video about the HYPOTHESIS TESTS pdf file
• "The Lecture Version of fX.f'X.f''X.intX.gsp -- Limits, Derivatives, Antiderivatives, FTC I, FTC II Presented Dynamically & Analytically
• "HHCC - Hand-Held Calculator Calculus" and Support Programs
• Absement and 'nth Derivatives of Displacement' Presented Dynamically & Analytically

• Sate-of-emergency Snow Storm! - Nothing Closes NYC's 6th Boro
• Does It Fit? Does It Fit? Bridges Over the Hackensack

  Digital Manipulatives
- The 21st Century Version of Tokens

• 1st: a rational & show-and-tell of sample digital manipulatives,
  © 7/2009 metz web page, pdf video, local, Key words:
  Click, Drag, Select, Copy, Paste; Digital Manipulatives as a Math Class Language; Sample, Play, Create.
   
• 1st. or Last: Math Tokens   © 2010     Tokens web page pdf file NO VIDEO
  Most digital manipulatives, tokens, are sorted by the NJ Math Standards: Number Sense and Numerical Operations; Geometry and Measurement; Patterns, Algebra, Functions; Data Analysis, Probability, and Discrete Mathematics; Mathematical Processes - Problem Solving, Communication, Connections, Reasoning, Representations, Technology; Other, Non-Math Stuff
   
• 2nd: or 3rd: Manipulative Practices & Math Class Languages,
  © 2009 metz1 web page, pdf video, local video, Key Words:
  Math Class Language Stages of Acquisition; Useful Strategies
   
• 4th: Ancient Computing Devises Used Digitally,
  © 2010 amtnj09 web page, pdf video, local video, Key Words:
  Fingers & Talley Sticks, Tokens & Coins, Shekel to Stater, Creation of Money, Credit before Coin, Writing Numerals, A Bit About Bases, Abaxes (Sand Table), Reckoning Boards, Banks, Abacuses, Napier's Bones, Slide Rules
   
• 3rd: (Algebra) Term Tiles & Tokens, © 2010
  
  
  term tiles web page, pdf video, local video, Key Words:
  A Number, Zero , The Opposite, "Zero In" and "Zero Out" to Simplify; Represent, Evaluate, Verify; Integer & Polynomial Computation; Solve; Factor; Create; Appendix/Masters
   
• 2nd: Digital Manipulatives - A Lab,
  © 12/2017, 11/2018 dmanip1 web page, pdf video, local video, Key Words:
  "A Game for Two Players," "Term Tiles & Tokens," "Solve 3 + 2x = 4x - 1," "Create your own cartouche or write ancient Egyptian numbers or glyphs," "Add vectors 4 @ 45° and 6 @ 135°," and more
   
• Last: Index,
  © 2019, 2022 xls web page, pdf video, local video, Key Words:
  "Hundreds Board," abacus, area formula proofs, numerals in Chinese, Japanese, Roman; coins, other number bases, fraction computation, deck of cards, dice, Napier's Bones, etc.
   
• A Game for Two Players emphasizes prealgebra vocabulary & mental computation.

  

  web page, pdf, digital manipulative, video at 21:25 minutes, local video, Key words: multiple, multiply, divisible, divide, prime, composite, add, decrease, square, reciprocal, opposite.
  
   

MATH SPOKEN HERE! Words/Dictionary/Essays

• So, What's A Fraction? & Zero(s) In Fractions
  web page, pdf of web page, video of web page local video
  key words: ratio, comparison. numerator compared to denominator, "number of pieces" /"number of pieces in one whole," fractions in symbols and pictures, complex fractions, fractions with fractions, division by zero, fractions with zero(s), undefined, indeterminant, Special Limits, f(0) is 0/0.
   
• hexagon:   definition web page
  Make a Hexagon Sketchpad, video of Make a Hexagon
  Key words: construct an equilateral triangle or regular hexagon w/string & straight edge or w/Geometer's Sketchpad local video,
   

-- Precalc Resources

• Grading Policy & Course Grade   web page video   local video,
  Key words: Tests, Quizzes & Homeworks, Final Exam, 25 possible points, numeric average, "What grades do I need to get this grade for the course?"
   
• First Day of Class,Spring 2024   Spring '24, local video
  First Day of Class, Fall 2024   Fall '24   local video, ,
  Key words: print screen (Shift + Windows, s), pink-box message, prof's schedule w/office hours,Letter & Weekly Report & Quiz or Test, Class Page, Graph Paper, Grading, pdf of course info, textbook, MyOpenMath, notes
   
   
   
• 8.3 Arc Functons (In Precalc)
  
  web page
  pdf of web page
  solve.xls
  elevation.gps
  inverse.gsp
  video
  local video
  
   

• Slope Song
  web page
  Sketch Pad
  pdf
  video
  local video
  Interact with the web page to listen to audio clips of slopes such as 2, 4/3, 1, 3/4, 0, -3/4., ...
  A Geometer's Skechpad of Slope Song is also introduced.
   
• Resources for Teaching Functions in Developmental Math, Precalc, & Calc I
  video -- the expanded version of the talk   video-- LOCAL of the expanded version of the talk     pdf - of the STEM '23, paper/web page:
  mathnstuff.com/papers/ccSTEM23.htm
  WHERE ALL MATERIAL IS LINKED ON THE PAGE including:   Choose the best Math Class Language.   Hear a slope.   Go from slope to difference quotient to derivative.   Use termtiles (hot.xls) then sketchpad (compositeFX.gsp or parabola.gsp or compositeFx.poly.ratl.gsp) to compose functions to illustrate (line)(line)= (quadratic).   “Concretely” translate and reflect graphs with parentFX2.gsp   Easily graph functions, composit functions, inverse functions with inverse.gsp   Graph Asin(Bx-C)+D by just changing the variables with sine.xls   Compute compounding, exponential functions and models with exp2.xls  
   
• Precalc & Calc I Inside Front & Back Cover Quick Reference Material
  video tour   local video tour
  Key words: "stuff" one needs in precalc and calc to do the homework, recall material a student should understand but has probably just forgotten and wishes to quickly check. Topics include: laws of exponents & logs, trig identities, values of the 6 basic functions of the 30s, 60s, 45s in all 4 quadrants, tables of derivatives and integrals.
   
• Angles in Standard Position
  Sketchpad, video   local video,
  Key words: standard position, central angle, negative and positive angles, coterminal angles
   
• Angle Measure - A History w/Down-Loadable Resources
  web page, web page pdf file, Sketchpad used in video, video,   local video,  
  key words -- ancient counting and communication of numbers, Egyptian mathematics, Sumerian/Babylonian mathematics, construction of a hexagon, Roman/Greek mathematics, pi, radians, graph papers, other tools sfor teaching radians also included in video: Make a Hexagon and Radians & Sectors Using radianSector
   
• Radians & Sectors Using the radianSector.gsp:
  Sketchpad, worksheet, answers, video local video,
  Key words: angle, circle formulas from middle school, special angles, degree measures, radians, radian measures, arc, arc length, sector, angular speed
   

-- Calc I Resources

• So, What's A Fraction? & Zero(s) In Fractions
  web page, pdf of web page, video of web page local video
  key words: ratio, comparison. numerator compared to denominator, "number of pieces" /"number of pieces in one whole," fractions in symbols and pictures, complex fractions, fractions with fractions, division by zero, fractions with zero(s), undefined, indeterminant, Special Limits, f(0) is 0/0.
   
• Take A Derivative by Singing!
  video   local video
      Think product rule, quotient rule, and chain rule in words like "first," "second," "inner," and "outer" rather than in symbols like u(x) and g(x). Three 3 typical derivatives are taken and a series of longer chain rule problems.
  Notes: Languages & Title,     Songs & Title,     jpg of just the song
  blank copy of problems,     completed copy of problems,
  blank copy of Long Chain Rule problems,     completed Long Chain Rule problems,
  Links to:
  Derivative web page,
  Languages of the Math Classroom,
  APEX Calculus by Hartman, Heinold, Siemers, Chalishajar, Bowen
   
• "The Lecture Version of fX.f'X.f''X.intX.gsp -- Limits, Derivatives, Antiderivatives, FTC I, FTC II Presented Dynamically & Analytically
  Sketchpad, web page, pdf, PAGE - Teachers' Manual, The Languages of the Math Classroom     video,   local video
  Key words: end behavior, take a limit, as x approaches c, where f(c) is continuous/not continuous, as x approaches infinity, derivative by definition, by secant, as the slope of a tangent, mark c, f(c), f' (c), f ' ' (c), increasing/decreasing, zero, trig derivatives memory trick, partition, differential, Reimann bBoxes, sums, area under a curve, negative areas, use g(x), cumulative distribution, integral, FTC I, FTC II, "plus c"
   
• Absement and 'nth Derivatives of Displacement' Presented Dynamically & Analytically
  Sketchpad, pdf, video, local video, web page
      Absement is the total or cumulative displacement from an initial position, the antiderivative of displacement or distance. A multitude of derivatives/antiderivatives of displacement are now collected under the title "nth Derivatives" -- old idea, new words. A free Geometer’s SketchPad may be used to model this mathematics including time, definitions of derivatives, tangent lines, partitions, Riemann sums, absement and cumulative functions, and absement plus c. Function emojis, and GSP features of slide, and trace, will be shown in the context of absement.
   
• "HHCC - Hand-Held Calculator Calculus" and Support Programs
  
  Qu.   What might a calc I teacher do to help students, who only have a TI-83, get easy access to its built-in calc functions as is easily managed on the TI-84?
  Ans. Program the TI-83.
      This video: runs sample problem(s), provides programing instructions, provides the program and other calc I resources, guides the viewer through the programming. Support materials are provided.
  1st. pdf
  2nd. PAGE - TI83-84 Calculus -- Derivative, Numerical Integration,
  3rd. SHEET - Calc Functions on the HOME SCREEN and in GRAPH,
  4th. SHEET - compute a definite integral in GRAPH,
  5th. SHEET - graph f(x) and derivatives,
  6th. SHEET - graph f(x) and antiderivatives,
  7th. PAGE - programming web page, including HHCC programs
  8th. CALCULATORing TOC
  9th. Calculus Functions from the HHCC Video
  10th. notes on the video   video,   local video
  Key words: derivative, definite integral, graph, compute
   
• Precalc & Calc I Inside Front & Back Cover Quick Reference Material
  video tour   local video tour
  Key words: "stuff" one needs in precalc and calc to do the homework, recall material a student should understand but has probably just forgotten and wishes to quickly check. Topics include: laws of exponents & logs, trig identities, values of the 6 basic functions of the 30s, 60s, 45s in all 4 quadrants, tables of derivatives and integrals.
   

-- Statistics

• Statistics I in 2.5 Hours --
  Heavy on Vocabulary & Images, Light on Computation, but No Counting Theory, Includes Materials
  Materials include: web page, spreadsheet, pdf file, video of this page, local video
  Content:
  * Population, Sample, Data, Statistic;
  * Discrete or Continuous;
  * Take a Samples;
  * Look at the Data;
  * Theoretical vs Experimental & Descriptive vs Analytical Statistics;
  * Probability (not really covered);
  * More Vocabulary and Topics that Are Not Included on this Page;
  * The Binomial Distribution;
  * Thank Goodness for Probability Density Functions;
  * Normal and Standard Normal Distributions;
  * Confidence Intervals;
  * Hypothesis Testing;
  * Just the Vocabulary (Sorted Alphabetically)
   
• A Guided Tour of The Spreadsheet stat.xls
  Materials include: spreadsheet, video local video
      Personally, I wouldn't write a stat test without it, and, it's the perfect tool for students to verify written homework, create their own problems, or work on a lab.
  Computes:
  * mean of 5, 10, 20, 30 pieces of data;
  * mean and standard deviation of three groups of 10 scores;
  * standard deviation of 10 numbers using the formula displayed in table format.
  * x-score or z-score or mean or standard deviation
  * mean, standard deviation, and z-scores, and stanine for 30 pieces of data;
  * traditional uses of z-scores and probability table;
  * probability given a normal distribution;
  * traditional & cumulative z-scores probability table;
  * P(x<a), P(x>a), P(a<x<b);
  * probability in a binomial distribution
   
• A Video about the HYPOTHESIS TESTS pdf file
  Materials include: web page, pdf file, spreadsheet, video , local video,
        I wouldn't teach hypothesis testing without it. It provides the BIG PICTURE, and a superlative summary, of hypothesis testing and tests.
  Tests Presented: All at once and Indivually, Z-Test, T-Test, 2 Sample Z, 2 Sample T for INDEPENDENT means; 2 Sample T for DEPENDENT means; ANOVA; Kruskal-Wallis; 1 Proportion Z; 2 Proportion Z; Two Sample F-Test; Chi Squared for A Single Variance; Chi Squared for Independence of Proportions; Chi Squared for Homogeneity of Proportions; Chi Squared for Goodness of Fit; Chi Squared for Normality; Sign Test; Wilcoxon Rank Sum Test; Wilcoxon Signed-RankTest; Spearman Rank Correlation Coefficient
   

Pre-K, Elementary, & Other Good Stuff

• 
      Yes, a prime number is a number which is only divisible by 1 and itself, but before you read the MATH SPOKEN HERE! definition, complete this activity.   web page, video,   local video, primes through 500 image, primes through 102 by 6s image
   
• "The Decimal Bakery - A Math Fairy Tale" Web Pages
      This is a fairy tale and a 32-page coloring book. Red can bake but not do math. The Baker has the ideal recipe.   The Decimal Bakery Video
   
• "The Books on the Shelf" Web Page - A Read Aloud Math Book about counting and colors The Books on the Shelf - A Read Aloud Math Book Video

PAPERS & WORKSHOPS  

• Resources for Teaching Functions in Developmental Math, Precalc, & Calc I
• "The Lecture Version of fX.f'X.f''X.intX.gsp -- Limits, Derivatives, Antiderivatives, FTC I, FTC II Presented Dynamically & Analytically
  Sketchpad, web page, pdf, Teachers' Manual web page, The Languages of the Math Classroom     video,   local video
  Key words: end behavior, take a limit, as x approaches c, where f(c) is continuous/not continuous, as x approaches infinity, derivative by definition, by secant, as the slope of a tangent, mark c, f(c), f' (c), f ' ' (c), increasing/decreasing, zero, trig derivatives memory trick, partition, differential, Reimann bBoxes, sums, area under a curve, negative areas, use g(x), cumulative distribution, integral, FTC I, FTC II, "plus c"
   

• 10/15/2021, Virtually w/Zoom, @ the 3rd Annual C2 Summit for Pedagogical Advancements in STEM, @ Raritan VCC
  "Functions, Derivatives, Antiderivatives with Sketch Pad,"

• 1/2018, NJECC, Montclair U, "Digital Manipulatives"

• 11/2010, AMATYC , "30+ Centuries of Computation in a 21st-Century Format"

-- 'N' Stuff

• 
  Portal Bridge Opening local
      The LIZ VINIK with a light barge passes through the Portal Bridge, Hackensack, NJ on 10/7/2023.
   
• State-of-emergency Snow Storm! - Nothing Closes NYC's 6th Boro
  State-of-emergency Snow Storm! - Nothing Closes NYC's 6th Boro - local
      The States of NJ & NY were closed with "State-of-emergency conditions," but the vessels and crews of New York/New Jersey kept working. This is a 15-second clip of Capt. Mike's Vinik's view from THE VINIK NO. 6, during the storm of January 28th, 2022.
   
• Does It Fit? Does It Fit? Bridges Over the Hackensack
  Does It Fit? Does It Fit? Bridges Over the Hackensack - local
      A passenger might wonder, "Does It Fit? Can the vessel get under the bridge?"
      In NJ/NY, there are traffic delays even on the waterways. Traveling at 5 knots, pushing a barge up the Hackensack is an all day trip made longer by "bridge openings," where river traffic and road traffic take turns on and above the river. Enjoy the ride aboard THE LIZ VINIK as Capt. Mike Vinik takes a barge northward.
   

• Download video of "Bridges Over the Hackensack River"