## HOW TO USE THIS BLOG. CLICK ON THE TOPIC AND THE ARTICLE WILL APPEAR BELOW. SCROLL DOWN TO IT.

Posted by mark schwartz on May 17, 2016

- HOW TO USE THIS BLOG. CLICK ON THE TOPIC AND THE ARTICLE WILL APPEAR BELOW. SCROLL DOWN TO IT.
- Concrete to Abstract
- The Definition of Math is …
- One 1873 View of Percent
- Recognize x∧2 – x – 1 = 0?
- A Short, Short Discourse on Digit Sum
- Openings
- Ted’s Question: Can I Graph a Decimal Slope?
- Yet Another Subtraction Algorithm!
- Heron’s Area of a Triangle
- Must We Filter Students Through the Math Sieve?
- A 1st Day Handout to Students
- A Student’s Aha Moment
- Homework: Solve This Equation 4 Ways
- Revisiting Mr. Stoddard’s 1852 Subtraction
- Vedic Version of a Line From Two Points
- In 1877, Mr. Ray Reasons with Fractions
- Math Stories
- Is it ̶ 3 or is it ̶ 3?
- The Importance of a Clearly Stated Algorithm
- Commentary: Algebra – yes or no?
- An 8th Grade Final Exam: Salina , KS – 1895
- Unequations Buzz
- Walk the Clock: It’s Fractions
- Metric to Metric Conversion: Ultimately, it’s a Proportion!
- Algebraic Fishiness
- Rephrase That Impossible Application Problem
- What? That Much Percent Increase?
- Two Alternatives to “Borrowing” When Doing Subtraction
- Four Sentences (that’s right – only four!) about Math
- Percent Problems from 1868
- An 1851 Use of Duodecimal
- Fibonacci: Surprise and Pattern in Mathematics
- Some Old Commentary on Today’s Common Core Math
- Math Fragments Perpetuate Fragmented Learning
- Setting up Equations the Old Fashioned Way
- Visually Explaining Shared Work Problems
- Staring
- Some 1800s Fractions That Might Fracture Today’s Students
- That Rascal Pascal
- Counting Sheep
- Blended Factoring
- Simultaneous Equations in the 1800s
- What is the Question to This Answer?
- Are We Lying About Factoring?
- Are We Adding Ratios (rates?) or Fractions?
- Exploring an 1864 Demonstration that ( – )( – ) = +
- Driving the Integer Road
- Historically Multiplying and Dividing Fractions by a Number
- Don’t use PEMDAS, Just Underline Terms
- Math Was … Math Is
- A Different Formula for Average
- Chipping Away at Equations
- A Toddler, Pascal and Fibonacci Climb Steps
- Sheldon’s Compound Proportions
- Using Zero when Subtracting
- Danny, Mike and Mary Work Together
- Converting a base-x number Directly to a base-y number in 1880
- An 1851 Quadratic Factoring Method
- Visualizing Fraction Operations with a Rectangle
- Mixing it up with Alligation
- Percent Proportion
- It Makes a Difference
- Subtract by Adding … really!
- Finding the LCD, 1881 Style
- Hannah Solves a Problem
- Concrete to Abstract
- Signed Numbers with Chips

## About This Blog

This blog is mostly about math procedures in textbooks dated from about 1825-1900. I’m writing about them because some of the procedures are exquisite and much more powerful, and simpler, than some of the procedures in current text books. Really!

I update this blog as frequently as possible ... every 2-3 days. And, if you are a lover of old texts and unique procedures, you might want to talk to me about them, at markdotmath@gmail.com. I’m not an antiquarian; the books I have are dusty, musty, brown-paged scribbled-in texts written by authors with insights into how math works. Unfortunately, most of their procedures have vanished. They’ve been overcome by more traditional perspectives, but you have to realize that at that time, they were teaching the traditional methods.

## Categories

- algebra
- basic math operations
- binomial expansion
- Category One
- Category Three
- Category Two
- combination/permutation
- duodecimal
- equations
- factoring
- Fibonacci
- find the average
- fractions
- Historical Math
- math instruction
- math instrution
- mathematics
- Pascal
- percent
- place value systems – different bases
- proportion
- Proportions
- remedial/developmental math
- signed number operations
- subtraction

Posted by mark schwartz on May 17, 2016

This entry was posted on May 17, 2016 at 11:52 pm and is filed under Historical Math. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

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