Mathematics

New Digit Flipping Study Guide

Flip your digits! We’ve added a new Digit Flipping Study Guide that shows how to solve digit flipping challenges with two-digit numbers. These types of problems are challenging at first, but with practice you can become a pro. It can deepen your understanding of place value and working with systems of equations.

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Absolute Value Equations

Selected questions from a seventh grade algebra class.

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Eighth Grade Math Review One

Selected review questions for eighth grade algebra.

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Eighth Grade Math Review Two

Selected review questions for eighth grade algebra.

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Exponents

Selected questions from a seventh grade algebra class.

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Exponents and Roots

Selected questions from a seventh grade algebra class.

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Pythagorean Theorem

Selected questions from a seventh grade algebra class.

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Roots

Selected questions from a seventh grade algebra class.

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Simplifying Linear Equations

Selected questions from an eighth grade algebra class.

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Systems of Equations

Selected questions from an eighth grade algebra class.

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Alexander Von Humboldt

Scientist Explorer The German naturalist Friedrich Heinrich Alexander von Humboldt’s (1769-1859), known in English as Alexander von Humboldt, is considered the father of modern geography and ecology. He was a German polymath, geographer, naturalist, explorer, and proponent of Romantic philosophy and science. Humboldt’s quantitative work on botanical geography laid the foundation for the field of biogeography. His advocacy of long-term systematic geophysical measurement laid the foundation for modern geomagnetic and meteorological monitoring.

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A Mathematician’s Lament

A musician wakes from a terrible nightmare. In his dream he finds himself in a society where music education has been made mandatory. “We are helping our students become more competitive in an increasingly sound-filled world.” Educators, school systems, and the state are put in charge of this vital project. Studies are commissioned, committees are formed, and decisions are made–all without the advice or participation of a single working musician or composer.

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Books on Mathematics

Some of the books that inspired me while teaching middle school mathematics. As always, inclusion does not imply agreement.

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The Math Revolution

An Atlantic article reviewing the practice of teaching math through problem solving.

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Recommended Reading


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Imagining Numbers

– Barry Mazur

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An Imaginary Tale

– Paul Nahin

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Math Recess: Playful Learning in an Age of Disruption

– Sunil Singh

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What Is Mathematics?

– Courant and Robbins

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A History of Pi

– Petr Beckmann

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Thinking Mathematically

– John Mason
Excellent small book on how to think like a mathematician. Highly recommended for anyone who suffered through the kind of ’training’ in which actual mathematics was confused with the obedient memorization of calculation methods.

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A Mathematician’s Lament

– Paul Lockhart
A musician wakes from a terrible nightmare. In his dream he finds himself in a society where music education has been made mandatory. ‘We are helping our students become more competitive in an increasingly sound-filled world.’ Educators, school systems, and the state are put in charge of this vital project. Studies are commissioned, committees are formed, and decisions are made–all without the advice or participation of a single working musician or composer… So begins Lockart’s famous lament on the failings of standard mathematical instruction.

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Elements

– Euclid
Euclid is the most celebrated mathematician of all time. He lived in the third or fourth century BCE. His fame rests mainly on the Elements, which he wrote in thirteen volumes establishing the foundations of mathematics.

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Zero: The Biography of a Dangerous Idea

– Charles Seife

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Mathematics and the Physical World

– Morris Kline

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Prime Obsession

– John Derbyshire

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E: The Story of a Number

– Eli Maor

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Prelude to Mathematics

– W. W. Sawyer

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A Beginner’s Guide to Constructing the Universe

– Michael S. Schneider
A light weight and fun romp through the world of patterns. Ideal for teachers seeking ideas to inspire students.

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Journey Through Genius

– William Dunham

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The Joy of X

– Steven Strogatz

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Things to Make and Do in the Fourth Dimension

– Matt Parker

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Mathematics for the Nonmathematician

– Morris Kline

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Measurement

– Paul Lockhart

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Mathematical Puzzling

– A. Gardiner

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Proofs From the Book

– Aigner and Ziegler