Interactive Maths - The Interactive Way to Teach Mathematics
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    • Number >
      • Arithmetic >
        • The Four Operations >
          • The Four Operations (QQI)
          • The Four Operations (10QQI)
          • The Four Operations (QQI Count Down)
          • The Four Operations (QQI Relay)
          • The Four Operations (QQI BINGO)
          • The Four Operations (QQI Worksheets)
          • The Four Operations (Video)
          • Timestables Square (QQI)
          • Grid Multiplication (QQI)
        • Missing Numbers >
          • Missing Numbers (QQI)
          • Missing Numbers (10QQI)
          • Missing Numbers (QQI Count Down)
          • Missing Numbers (QQI Relay)
          • Missing Numbers (QQI BINGO)
          • Missing Numbers (QQI Worksheets)
        • Order of Operations >
          • Order of Operations (QQI)
          • Order of Operations (10QQI)
          • Order of Operations (QQI Count Down)
          • Order of Operations (QQI Relay)
          • Order of Operations (QQI BINGO)
          • Order of Operations (QQI Worksheets)
        • Powers of Ten >
          • Powers of Ten (QQI)
          • Powers of Ten (10QQI)
          • Powers of Ten (QQI Count Down)
          • Powers of Ten (QQI Relay)
          • Powers of Ten (QQI BINGO)
          • Powers of Ten (QQI Worksheets)
        • Decimal Operations >
          • Decimal Operations (QQI)
          • Decimal Operations (10QQI)
          • Decimal Operations (QQI Count Down)
          • Decimal Operations (QQI Relay)
          • Decimal Operations (QQI BINGO)
          • Decimal Operations (QQI Worksheets)
        • Rounding >
          • Rounding (QQI)
          • Rounding (10QQI)
          • Rounding (QQI Count Down)
          • Rounding (QQI Relay)
          • Rounding (QQI BINGO)
          • Rounding (QQI Worksheets)
        • Products and Sums (QQI)
        • Products and Sums (10QQI)
      • Fractions >
        • Cancelling Fractions >
          • Cancelling Fractions (QQI)
          • Cancelling Fractions (10QQI)
          • Cancelling Fractions (QQI Count Down)
          • Cancelling Fractions (QQI Relay)
          • Cancelling Fractions (QQI BINGO)
          • Cancelling Fractions (QQI Worksheets)
        • Mixed Numbers and Improper Fractions >
          • Mixed Numbers and Improper Fractions (QQI)
          • Mixed Numbers and Improper Fractions (10QQI)
          • Mixed Numbers and Improper Fractions (QQI Count Down)
          • Mixed Numbers and Improper Fractions (QQI Relay)
          • Mixed Numbers and Improper Fractions (QQI BINGO)
          • Mixed Numbers and Improper Fractions (QQI Worksheets)
        • Fractions of Amounts >
          • Fractions of Amounts (QQI)
          • Fractions of Amounts (10QQI)
          • Fractions of Amounts (QQI Count Down)
          • Fractions of Amounts (QQI Relay)
          • Fractions of Amounts (QQI BINGO)
          • Fractions of Amounts (QQI Worksheets)
        • Fraction Arithmetic >
          • Fraction Arithmetic (QQI)
          • Fraction Arithmetic (10QQI)
          • Fraction Arithmetic (QQI Count Down)
          • Fraction Arithmetic (QQI Relay)
          • Fraction Arithmetic (QQI BINGO)
          • Fraction Arithmetic (QQI Worksheets)
      • FDP >
        • Fraction Decimal Conversions Drill
      • Percentages >
        • Percentages of Amounts >
          • Percentages of Amounts (QQI)
          • Percentages of Amounts (10QQI)
          • Percentages of Amounts (QQI Count Down)
          • Percentages of Amounts (QQI Relay)
          • Percentages of Amounts (QQI BINGO)
          • Percentages of Amounts (QQI Worksheets)
          • Percentage of Amounts (Video)
        • Writing Numbers as a Percentage >
          • Writing Numbers as a Percentage (QQI)
          • Writing Numbers as a Percentage (10QQI)
          • Writing Numbers as a Percentage (QQI Count Down)
          • Writing Numbers as a Percentage (QQI Relay)
          • Writing Numbers as a Percentage (QQI BINGO)
          • Writing Numbers as a Percentage (QQI Worksheets)
          • Writing Numbers as a Percentage (Video)
        • Percentage Change >
          • Percentage Change (QQI)
          • Percentage Change (10QQI)
          • Percentage Change (QQI Count Down)
          • Percentage Change (QQI Relay)
          • Percentage Change (QQI Worksheets)
          • Percentage Change (Video)
        • Increase and Decrease by a Percentage >
          • Increase and Decrease by a Percentage (QQI)
          • Increase and Decrease by a Percentage (10QQI)
          • Increase and Decrease by a Percentage (QQI Count Down)
          • Increase and Decrease by a Percentage (QQI Relay)
          • Increase and Decrease by a Percentage (QQI BINGO)
          • Increase and Decrease by a Percentage (QQI Worksheets)
          • Increase and Decrease by a Percentage (Video)
        • Compound Interest and Simple Interest >
          • Compound Interest and Simple Interest (QQI)
          • Compound Interest and Simple Interest (10QQI)
          • Compound Interest and Simple Interest (QQI Count Down)
          • Compound Interest and Simple Interest (QQI Relay)
          • Compound Interest and Simple Interest (QQI BINGO)
          • Compound Interest and Simple Interest (QQI Worksheets)
          • Compound Interest and Simple Interest (Video)
        • Overall Percentage Change >
          • Overall Percentage Change (QQI)
          • Overall Percentage Change (10QQI)
          • Overall Percentage Change (QQI Count Down)
          • Overall Percentage Change (QQI Relay)
          • Overall Percentage Change (QQI BINGO)
          • Overall Percentage Change (QQI Worksheets)
        • Reverse Percentages >
          • Reverse Percentages (QQI)
          • Reverse Percentages (10QQI)
          • Reverse Percentages (QQI Count Down)
          • Reverse Percentages (QQI Relay)
          • Reverse Percentages (QQI BINGO)
          • Reverse Percentages (QQI Worksheets)
          • Reverse Percentages (Video)
        • Mixed Percentages >
          • Mixed Percentages (QQI)
          • Mixed Percentages (10QQI)
          • Mixed Percentages (QQI Count Down)
          • Mixed Percentages (QQI Relay)
          • Mixed Percentages (QQI BINGO)
          • Mixed Percentages (QQI Worksheets)
      • Factors and Multiples >
        • Number Properties (QQI)
        • Product of Primes >
          • Product of Primes (QQI)
          • Product of Primes (10QQI)
          • Product of Primes (QQI Count Down)
          • Product of Primes (QQI Relay)
          • Product of Primes (QQI BINGO)
          • Product of Primes (QQI Worksheets)
        • HCF and LCM >
          • HCF and LCM (QQI)
          • HCF and LCM (10QQI)
          • HCF and LCM (QQI Count Down)
          • HCF and LCM (QQI Relay)
          • HCF and LCM (QQI BINGO)
          • HCF and LCM (QQI Worksheets)
          • HCF and LCM (Video)
        • 100 Square Multiples (QQI)
        • 100 Square Types of Numbers (QQI)
      • Standard Form >
        • Standard Form Conversions >
          • Standard Form Conversions (QQI)
          • Standard Form Conversions (10QQI)
          • Standard Form Conversions (QQI Count Down)
          • Standard Form Conversions (QQI Relay)
          • Standard Form Conversions (QQI BINGO)
          • Standard Form Conversions 2 (QQI BINGO)
          • Standard Form Conversions (QQI Worksheets)
        • Standard Form Arithmetic >
          • Standard Form Arithmetic (QQI)
          • Standard Form Arithmetic (10QQI)
          • Standard Form Arithmetic (QQI Count Down)
          • Standard Form Arithmetic (QQI Relay)
          • Standard Form Arithmetic (QQI BINGO)
          • Standard Form Arithmetic (QQI Worksheets)
      • Ratio and Proportion >
        • Ratio (Video)
      • Surds >
        • Surds Activities >
          • Surds (QQI)
          • Surds (10QQI)
          • Surds (QQI Count Down)
          • Surds (QQI Relay)
          • Surds (QQI BINGO)
          • Surds (QQI Worksheets)
    • Algebra >
      • Algebraic Manipulation >
        • Collecting Like Terms >
          • Collecting Like Terms (QQI)
          • Collecting Like Terms (10QQI)
          • Collecting Like Terms (QQI Count Down)
          • Collecting Like Terms (QQI Relay)
          • Collecting Like Terms (QQI BINGO)
          • Collecting Like Terms (QQI Worksheets)
        • Expanding Single Brackets >
          • Expanding Single Brackets (QQI)
          • Expanding Single Brackets (10QQI)
          • Expanding Single Brackets (QQI Count Down)
          • Expanding Single Brackets (QQI Relay)
          • Expanding Single Brackets (QQI BINGO)
          • Expanding Single Brackets (QQI Worksheets)
        • Factorising >
          • Factorising (QQI)
          • Factorising (10QQI)
          • Factorising (QQI Count Down)
          • Factorising (QQI Relay)
          • Factorising (QQI BINGO)
          • Factorising (QQI Worksheets)
        • Expanding Quadratic Brackets >
          • Expanding Quadratic Brackets (QQI)
          • Expanding Quadratic Brackets (10QQI)
          • Expanding Quadratic Brackets (QQI Count Down)
          • Expanding Quadratic Brackets (QQI Relay)
          • Expanding Quadratic Brackets (QQI BINGO)
          • Expanding Quadratic Brackets (QQI Worksheets)
        • Factorising Quadratics >
          • Factorising Quadratics (QQI)
          • Factorising Quadratics (10QQI)
          • Factorising Quadratics (QQI Count Down)
          • Factorising Quadratics (QQI Relay)
          • Factorising Quadratics (QQI BINGO)
          • Factorising Quadratics (QQI Worksheets)
          • Factorising Quadratic Expressions (Video)
          • Factorising Four Term Expressions (Video)
        • Indices >
          • Indices (QQI)
          • Indices (10QQI)
          • Indices (QQI Count Down)
          • Indices (QQI Relay)
          • Indices (QQI BINGO)
          • Indices (QQI Worksheets)
        • Completing the Square >
          • Completing the Square (QQI)
          • Completing the Square (10QQI)
          • Completing the Square (QQI Count Down)
          • Completing the Square (QQI Relay)
          • Completing the Square (QQI BINGO)
          • Completing the Square 2 (QQI BINGO)
          • Completing the Square (QQI Worksheets)
        • Algebraic Fractions >
          • Simplifying Algebraic Fractions (Video)
          • Adding and Subtracting Algebraic Fractions (Video)
          • Multiplying and Dividing Algebraic Fractions (Video)
      • Coordinates >
        • Coordinates (GGB)
        • Coordinate Battleship First Quadrant (GGB)
        • Coordinate Battleship All Four Quadrants (GGB)
        • 3D Coordinates (AGG)
      • Equations >
        • Linear Equations >
          • Solving Linear Equations >
            • Solving Linear Equations (QQI)
            • Solving Linear Equations (10QQI)
            • Solving Linear Equations (QQI Count Down)
            • Solving Linear Equations (QQI Relay)
            • Solving Linear Equations (QQI BINGO)
            • Solving Linear Equations (QQI Worksheets)
          • Solving Equations with Algebraic Fractions (Video)
        • Quadratic Equations >
          • Solving Quadratic Equations >
            • Solving Quadratics Factorising Tool
            • Solving Quadratic Equations (QQI)
            • Solving Quadratic Equations (10QQI)
            • Solving Quadratic Equations (QQI Count Down)
            • Solving Quadratic Equations (QQI Relay)
            • Solving Quadratic Equations (QQI BINGO)
            • Solving Quadratic Equations (QQI Worksheets)
          • Solving Quadratic Equations by Factorising (Video)
          • The Quadratic Formula (Video)
          • Problems Involving Quadratic Equations (Video)
        • Simultaneous Equations >
          • Solving Simultaneous Equations >
            • Solving Simultaneous Equations (QQI)
            • Solving Simultaneous Equations (10QQI)
            • Solving Simultaneous Equations (QQI Count Down)
            • Solving Simultaneous Equations (QQI Relay)
            • Solving Simultaneous Equations (QQI Relay Fixed)
            • Solving Simultaneous Equations (QQI BINGO)
            • Solving Simultaneous Equations (QQI Worksheets)
          • Solving Simultaneous Equations Graphically (Video)
          • Simultaneous Equations by Substitution (Video)
          • Simultaneous Equations by Elimination (Video)
          • Simultaneous Equations - One Non-Linear (Video)
      • Sequences >
        • Sequences Activity (QQI)
        • Sequences Activities >
          • Sequences (QQI)
          • Sequences (10QQI)
          • Sequences (QQI Count Down)
          • Sequences (QQI Relay)
          • Sequences (QQI BINGO)
          • Sequences (QQI Worksheets)
        • Generating Sequences (Video)
        • General Term for Linear Sequences (Video)
        • Simple Quadratic Sequences (Video)
        • General Term for Quadratic Sequences (Video)
        • General Term for Cubic Sequences (Video)
        • Geometric Sequences (Video)
        • Common Differences (QQI)
      • Graphs >
        • Straight Line Graphs >
          • Drawing Straight Line Graphs (GGB)
          • Gradient of a Line (GGB)
          • Gradient of a Line 2 (GGB)
          • Parallel Lines (GGB)
          • Perpendicular Lines (GGB)
          • y = mx + c Activity (GGB)
          • Battleships 1 (AGG)
          • Battleships 2 (AGG)
          • Battleships 3 (AGG)
          • Find the Lines 1 (AGG)
          • Regions in Graphs (Video)
        • Non-Linear Graphs >
          • Drawing Curves (GGB)
          • Quadratic Graphs Activity (GGB)
          • Finding Quadratic Functions (Video)
        • Graphs with a Casio GDC (Video)
      • Graph Transformations >
        • Graph Transformations 1 (GGB)
        • Graph Transformations 2 (GGB)
        • Graph Transformations 3 (GGB)
        • Graph Transformations 4 (GGB)
        • Graph Transformations 5 (GGB)
        • Graph Transformations 6 (GGB)
      • Functions >
        • Functions Introductions (Video)
        • Function Graphs and Important Points (Video)
        • Solving Unfamiliar Equations Using Functions (Video)
        • Function Notation Revision (Video)
        • Composite Functions (Video)
        • Inverse Functions (Video)
    • Shape >
      • Symmetry >
        • Reflection Symmetry >
          • Reflection Symmetry in Quadrilaterals (GGB)
          • Reflection Symmetry in Triangles (GGB)
          • Reflection Symmetry in Other Shapes (GGB)
        • Rotational Symmetry >
          • Rotational Symmetry in Quadrilaterals (GGB)
          • Rotational Symmetry in Triangles (GGB)
          • Rotational Symmetry in Other Shapes (GGB)
      • Area and Perimeter >
        • Polygons >
          • Perimeters (GGB)
          • Area of a Triangle (GGB)
          • Area of a Parallelogram (GGB)
          • Area of a Trapezium (GGB)
          • Area of Compound Shapes (GGB)
          • Perimeter and Area (GGB)
        • Circles >
          • Discovering Pi (GGB)
          • Circumference of a Circle (GGB)
          • Area of a Circle (GGB)
          • Running Tracks (GGB)
          • Circle Area Problem (GGB)
          • Circles and Squares (GGB)
        • Area (QQI)
        • Area (10QQI)
        • Tilted Squares (GGB)
        • Difference Between Two Squares (GGB)
      • Volume and Surface Area >
        • Volumes and Surface Areas (QQI)
        • Volumes and Surface Areas (10QQI)
      • Angles >
        • Guess the Angle (GGB)
        • Angles on a Straight Line (GGB)
        • Angles around a Point (GGB)
        • Angles in a Triangle (GGB)
        • Angles in a Quadrilateral (GGB)
        • Angles in a Regular Polygon (GGB)
        • Angles on Parallel Lines (GGB)
        • Striping Angles (GGB)
      • Transformations >
        • Reflection >
          • Reflections (GGB)
          • Reflection Challenge (GGB)
        • Rotation >
          • Rotations (GGB)
          • Rotation Challenge (GGB)
        • Translation >
          • Translations (GGB)
          • Translation Challenge (GGB)
        • Enlargement >
          • Enlargements (GGB)
          • Enlargement Challenge (GGB)
          • Other Scale Factors (GGB)
        • Challenges >
          • Which Transformation (GGB)
          • How Many Transformations (GGB)
          • Find Them All (AGG)
          • Ultimate Challenge (GGB)
        • Matrix Transformations (AGG)
      • Pythagoras Theorem >
        • Pythagoras Theorem Activities >
          • Pythagoras Theorem (QQI)
          • Pythagoras Theorem (10QQI)
          • Pythagoras Theorem (QQI Count Down)
          • Pythagoras Theorem (QQI Relay)
          • Pythagoras Theorem (QQI BINGO)
          • Pythagoras Theorem (QQI Worksheets)
        • Pythagoras Theorem (GGB)
        • Pythagorean Triples (GGB)
        • Pythagoras Proof (GGB)
        • Ladders up Walls (GGB)
        • Pythagoras in 3D (GGB)
        • Finding the Hypotenuse Example (Video)
        • Finding a Shorter Side Example (Video)
      • Trigonometry >
        • Right Angled Trigonometry >
          • Right Angled Trigonometry (QQI)
          • Right Angled Trigonometry (10QQI)
          • Right Angled Trigonometry (QQI Count Down)
          • Right Angled Trigonometry (QQI Relay)
          • Right Angled Trigonometry (QQI BINGO)
          • Right Angled Trigonometry (QQI Worksheets)
          • Discovering Trig Ratios (GGB)
          • Finding Lengths (GGB)
          • Finding Missing Lengths (Video)
          • Finding Missing Angles (Video)
        • Sine Rule (Video)
        • Cosine Rule (Video)
        • Sine and Cosine Rules (Video)
      • Circle Theorems >
        • Angle in the Centre vs Angle at the Circumference (GGB)
        • Angle at the Centre vs Angle at the Circumference (Video)
        • Angles in a Semicircle (GGB)
        • Angle in a Semicircle (Video)
        • Angles in Cyclic Quadrilaterals (GGB)
        • Angles in a Cyclic Quadrilateral (Video)
        • Angles in the Same Segment (GGB)
        • Angles in the Same Segment (Video)
        • Tangents (GGB)
        • Tangents (Video)
        • Alternate Segment Theorem (GGB)
        • Intersecting Tangents (GGB)
        • Intersecting Tangents (Video)
        • Intersecting Chords (GGB)
      • Vectors >
        • Vectors and Scalars (Video)
        • Vector Notation (Video)
        • Resultant Vectors (Video)
        • Resultants of Column Vectors (Video)
        • Scalar Multiplication (Video)
        • Magnitude of a Vector (Video)
      • Miscellaneous >
        • Squares (GGB)
        • Tangrams (GGB)
        • Euler Line (GGB)
        • Geoboards
    • Statistics >
      • Probability >
        • Probability (QQI)
        • Probability (10QQI)
        • Probability Tools (Flash)
      • Averages >
        • Averages Activity (QQI)
        • Listed Averages >
          • Listed Averages (QQI)
          • Listed Averages (10QQI)
          • Listed Averages (QQI Count Down)
          • Listed Averages (QQI Relay)
          • Listed Averages (QQI BINGO)
          • Listed Averages (QQI Worksheets)
          • Averages From Lists of Data (Video)
          • Quartiles and Interquartile Range (Video)
        • Averages from Frequency Tables >
          • Averages from Frequency Tables (QQI)
          • Averages from Frequency Tables (10QQI)
          • Averages from Frequency Tables (QQI Count Down)
          • Averages from Frequency Tables (QQI Relay)
          • Averages from Frequency Tables (QQI BINGO)
          • Averages from Frequency Tables (QQI Worksheets)
          • Averages From Frequency Tables (Video)
          • Averages From Grouped Frequency Tables (Video)
        • Averages With A GDC (Video)
      • Statistical Diagrams >
        • Cumulative Frequency (Video)
        • Scatter Graphs and the Mean Point (Video)
        • Scatter Graphs and Linear Regression on a GDC (Video)
        • Correlation and the Correlation Coefficient on a GDC (Video)
    • Post 16 Topics >
      • Binomial Expansion >
        • Binomial Expansion (Video)
        • Binomial Theorem (Video)
        • Binomial Coefficients (Video)
        • Binomial Applications (Video)
      • Coordinate Geometry >
        • Coordinate Geometry (QQI)
        • Coordinate Geometry (10QQI)
        • Equation of a Circle (AGG)
      • Differentiation >
        • Differentiating Polynomials >
          • Differentiating Polynomials (QQI)
          • Differentiating Polynomials (10QQI)
          • Differentiating Polynomials (QQI Count Down)
          • Differentiating Polynomials (QQI Relay)
          • Differentiating Polynomials (QQI BINGO)
          • Differentiating Polynomials (QQI Worksheets)
        • Chain, Product and Quotient Rule
        • Finding Gradients of Curves (QQI)
        • Finding Gradients of Curves (10QQI)
        • Finding Turning Points of Curves (QQI)
        • Finding Turning Points of Curves (10QQI)
      • Trigonometry >
        • Radian and Degree Conversions >
          • Radian and Degree Conversions (QQI)
          • Radian and Degree Conversions (10QQI)
          • Radian and Degree Conversions (QQI Count Down)
          • Radian and Degree Conversions (QQI Relay)
          • Radian and Degree Conversions (QQI BINGO)
          • Radian and Degree Conversions (QQI Worksheets)
        • Trigonometric Exact Values >
          • Trigonometric Exact Values (QQI)
          • Trigonometric Exact Values (10QQI)
          • Trigonometric Exact Values (QQI Count Down)
          • Trigonometric Exact Values (QQI Relay)
          • Trigonometric Exact Values (QQI BINGO)
          • Trigonometric Exact Values (QQI Worksheets)
        • Graphs of Trig Functions (GGB)
      • Normal Distribution Symmetry
  • Starters, Puzzles and Enrichment
    • UKMT Random Question Generator
    • @mathschallenge Random Questions
    • School of Hard Sums Random Questions
    • Random Starter of the Day
    • Mathematically Possible (QQI Starter)
    • Adding Challenge (QQI Starter)
    • Date Starter (QQI Starter)
    • Name That Number (QQI Starter)
    • Matchstick Random Questions
    • Choose 3 Numbers (QQI Starter)
    • What's The Question (QQI Starter)
    • Mathematical Words (QQI Starter)
    • Number of the Day (QQI Starter)
    • Anagrams and Missing Vowels (QQI Starter)
    • Missing Vowels and Word Jumbles (QQI) >
      • Missing Vowels and Word Jumbles Simple Numbers (QQI)
    • Tables (QQI)
    • Target Boards (QQI)
    • Missing Signs (QQI)
    • Random Activities >
      • Exploding Dots
      • Easter Date
      • Easter Tangrams (GGB)
      • Zeller's Algorithm
      • Batman Equation (AGG)
      • Templates
    • Mathematical Videos >
      • Fermat's Last Theorem (Video)
      • Pi Song (Video)
      • Monty Hall Problem (Video)
      • Symmetry, Reality's Riddle (Video)
      • Music of the Primes (Video)
      • Folding Paper (Video)
      • Nature by Numbers (Video)
      • Inspirations (Video)
  • Tools for Teachers
    • IB DP AAHL Online Course
    • Maths Question Generator
    • Topic Question Generator
    • Desmos Annotations
    • MYP eAssessment Investigation Generator
    • IB AI SL Exam Question Generator
    • IB AA HL Key Skills Generator
    • IB DP Exam Grade Boundaries
    • IB MYP Grade Boundaries
    • Exam Timings Tool

Quiet - Understanding Introversion in the Classroom

6/8/2019

0 Comments

 
I have just finished reading Quiet: The Power of Introverts in a World that Just Can't Stop Talking by Susan Cain. I read it as an introvert myself, trying to gain a greater understanding of some of my own limitations and find some of my strengths. But what I came away with most, was how being aware of the introverts in my class is so vitally important. Ironically, as an introverted child myself, I had never really considered this before.
Starting with an exploration of how extroversion became the ideal and the norm in the Western world, Cain looks to remind the world that both those on the extroverted side and the introverted side have strengths to offer. There are several reviews online that summarise the main points, and indeed Cain has a TED talk on the book too.
Before diving into the actual implications on teaching, a very important point must be made. Being an introvert is not something that needs to be "fixed". There is nothing wrong with introverted kids (or indeed adults). It is simply that they process information in a different way to extroverts. Much of society has developed to praise extroversion, but, as Cain goes to great lengths to explain, introverts have their own strengths. 
It is estimated that between a third and half of all people lie on the introverted side of the spectrum. That means that in a class of 30 kids, we would expect between 10 and 15 of them to be introverted. This may surprise you, as many introverted people have developed ways to appear to be more extroverted. But in doing this, they are not being themselves, but rather living up to what they think is expected of them by society.

And now to the impact on education…
First, introverts tend to be more sensitive to stimuli. That includes loud noises, lots of displays, and even caffeine. Their brain processes these stimuli in a different way to extroverts. Where extroverts are naturally "under-stimulated", introverts are naturally "over-stimulated". Let's consider classroom talk as one example. For an extrovert, the noise and buzz around the room is exactly what they need. This stimulates them to actually be thinking more. But for an introvert, this noise is a severe distraction. It over stimulates them, leaving them both exhausted and unable to think clearly. 
I can relate to that. When having a conversation with somebody, I enjoy getting into the details of whatever we are talking about. But when our conversation is in a loud space (such as the staffroom), I find it really difficult to focus on the conversation I am having. I often find myself flipping between the various conversations going on around me, and so I usually sit back, unable to actively participate in any of them properly. Now I understand this is because I am simply being over-stimulated by all that is going on around me.
What is the implication for teaching? Most teaching spaces are populated with lots of displays. These, especially if bright and large, can over stimulate the introverted students in our classes. And when students are working, if they are allowed to talk to each other, the introverted kids may be more likely to be unable to focus on the task on hand. Most introverts are able to deal with these in small doses, but being consistently bombarded by stimuli is a very draining experience for introverts. So when thinking about our classrooms and the activities we plan, try to use a range of activities that will suit both the extroverted kids and the introverted ones. And think about what time of day it is. If an introverted student has been made to work in high stimulus environments all day by the time they get to you, they may be utterly exhausted. And they may be in no fit state to do homework or anything else after school.

Secondly, Cain argues the importance of quiet sustained work, referencing the idea of flow from the work of Csikszentmihalyi and Deliberate Practice from Ericsson, and this is useful for both introverts and extroverts. Both these ideas require sustained time of silent work to think deeply about the current work, and they suggest that this individual deep work is where the most profound advances are made.
This is the natural state for most introverts. They are most comfortable working individually and in silence, and enjoy the challenge of the deep thought that this type of work enables. Introverts tend to be more engaged by parts of lessons which require them to think deeply and "be inside their own heads". This includes lectures and individual work.
Extroverts, on the other hand, tend to be less naturally adapted to this way of working, preferring to work in groups and discuss ideas. But, just as we need to help all students develop their ability to work in groups, we also need to help all students develop their ability to do deep independent work. What is more natural for extroverts is less so for introverts, and vice versa. 
What is the implication for teaching? Think about the types of group activities you use. Whilst introverts are not against working in a group (many actually enjoy this in small doses, as long as it is productive and roles are clearly defined), they need some time to themselves to think deeply too. We should also be providing support for extroverts to develop the ability to work individually, allowing them to access the strengths of deep work. Again, ensuring we use a mixture of group based and individual activities is vital to address the needs of all students in the class.

Thirdly, introverts tend to think very carefully about what they are going to say before actually saying something. They are more hesitant to say something that might be perceived as foolish. This can mean that in class discussions, whilst they are thinking of lots of great things, they may not choose to share them with the class. In fact, many introverted students might get fed up with their extroverted peers who will often shout out the first thing that springs to mind without thinking it through. They will probably see this as a waste of time, and will almost certainly get frustrated if this kind of behaviour is praised (e.g. when a teacher says something like "Good effort" or "Nice try" when it was completely irrelevant or plain wrong).
Whilst we do want students to develop into adults who are able to say what they are thinking when it truly matters, forcing them to do this is probably not the best way to approach this situation, and may just cause more anxiety. Similarly, we want to help our more extroverted students develop the skill of thinking before speaking at times, so they do not just say what is on their mind.
We must remain constantly aware that asking introverted students to participate in class more is asking them to act more like an extrovert, which is just not who they are. Instead we should celebrate the amazing qualities they bring to the class, such as deep thought. 
What is the implication for teaching? Giving students time to think before requiring answers is a great strategy, but even more so for introverted students. They will probably benefit from an extended period of time, where they can jot down a few of their ideas, and focus them a little, before being asked to share anything with the class. Whilst you should expect introverted students to participate in class, ensure they have time to be prepared before sharing. And don't force them if they really do not want to. The other side of this is when reporting to parents. The most dreaded line in a school report for an introverted student is "xxx needs to participate more in class". If they have something they feel is worth sharing, they will. If they are not sharing, then it is probably because they do not feel their ideas are fully formed and ready to be judged (by you or their peers). Telling them to participate more is telling them to be more extroverted. Rather than telling them to be something they are not, help them achieve their potential as an introvert by saying something like "xxx thinks deeply about content before sharing their well-formed ideas with the class" or "xxx has some really good insights in class based on their deep thought about the content".

​There are so many more insights throughout the book, and I strongly recommend reading it. If you are an introvert, it might help you identify with some of the parts of your character you have tried to change or hide to fit in with the extroverted ideal (as it did for me). If you are an extrovert, it might give you an idea of what life is like for an introvert.
But I can summarise my main takeaways with regards to teaching in three points:
  • Be aware of over stimulating introverts (or indeed under stimulating extroverts) and use a mixture of activities to address the needs of both types of student;
  • Introverts tend to prefer working individually (whereas extroverts tend to prefer working in groups), so, again, make use of both independent and group work in class in equal measures;
  • Introverts like to think deeply about content (especially before sharing in public), so provide time to think and do not impose extrovert ideals on introverted students (by telling them to participate more).
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    Dan Rodriguez-Clark

    I am a maths teacher looking to share good ideas for use in the classroom, with a current interest in integrating educational research into my practice.

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