## This year's posts

- Picking Yourself
- Learning Without Excitement
- Heuristics Lead to Rigour
- Knowledge From Repetition
- I Could Be Wrong
- Where Does It Belong In The Web?
- Being Good At Mathematics
- Clarity and Words
- No Final Exam
- Patting Yourself On The Back
- Nudging Along Versus Waiting
- Learning is Offloading
- A Survey Of Homework Strategies
- Just A Blink
- Mathematics for Enjoyment
- Not Everyone Thinks The Same
- End of the Treadmill
- Derailing an Explanation
- Equations as Constraints
- Going After The Average
- The Right Touch Of Novelty
- Safe Questions
- The Right Time
- How Deliberate Are Your Explanations?
- The Whole Ride
- One-Sentence Summary
- Familiar Forms
- Snapping Into Focus
- Escaping the Path
- Give Yourself A Gift
- Not The Usual Outreach
- Chasing The Carrot

## 2018

- Discovering Mathematics
- Bag of Examples
- Only Numbers and Algebra
- Not Necessary
- Memorization in Education
- What Counts As Cheating?
- Balance As A Student
- The Grit to Push Through
- Behind the Equations
- Quantities in Context
- Black Boxes
- The Priority of Education
- A Splash of Colour
- Outside the Curriculum
- Through the Minefield
- Visuals in Mathematics
- The Necessary Details
- By Convention
- Where's the Surprise?
- Being Second Atop the Mountain
- Where Are Your Weaknesses?
- Pairing Simple Examples With Complex Machinery
- Attempting Problems
- Permission to Learn
- Motivating New Tools
- Do You Understand?
- Act of Translation
- Concepts and Mechanics
- Jumps in Abstraction
- Why Can't We Give An Answer to 0/0?
- The Limits of Life
- Hidden Assumptions
- Misaligned Incentives
- Stating One's Goal Clearly When Solving a Problem
- Peripheral Knowledge
- Estimation, Modeling, and Accuracy
- Why Do We Make a Fuss About Definitions?
- Two Types of Mathematics
- One-to-One and Onto
- Recipes
- Intuition about Ideals
- Why Can't We Reach the Speed of Light By Boosting?
- Intuition and Rigour
- When Are Two Things the Same?
- Scrabble Misfortunes
- What is a Differential Equation?
- What Are Toy Models in Physics?
- A Simple Puzzle
- Dimensions of Objects
- No Magic
- Going to the Extreme
- Overhang
- A Nice Way to See the Identity for Binomial Coefficients

## 2017

- Guided Learning Through Problems
- Teasing Out One's Reasoning
- Calculating $\pi$ Factorial
- Easy Examples Miss the Point
- Minimization (The Rope Cutting Problem)
- Machines and Processes
- Notation
- The Importance of Factoring
- Serving the Results
- Discovery and Delight
- Integrating the Gaussian Function
- The Sweet Spot
- Linear versus Cyclic Permutations
- Period of a Pendulum
- On Uncertainty in Science
- Mathematical Sophistication
- The Limitations of Models
- Cramer's Rule for Solving Linear Systems
- The Distance Formula (Equation Explainer)
- Examples Before Abstraction
- Contradiction as Zeros
- Conceptual Understanding
- Precision in Language
- Proof that there exists a 3-regular graph for any graph with $k$ vertices, with $k \geq 4$ and $k$ even
- Vertices and Edges (An introduction to graph theory)
- First Principles
- Contrapositive Implications as Dominoes
- Units
- Translation
- Why Can’t I Divide By $\sin$?
- Summer Research
- The Friends/Strangers Problem
- Introduction to Vectors
- Can You Teach What You’ve Learnt?
- Derivations and Feeding
- Flashy
- Integrals, Integrands, and Understanding the Notation
- Understanding Algebra and Balancing Equations
- Can You Explain It?
- Full Explanation
- Taking Out The Pencil
- Alternative Perspectives
- Interconnecting Histories
- Notes
- A Tutor’s Job
- Time For Reflection
- Interdisciplinary
- Playing With An Idea
- Filler
- Going Through The Motions
- Juggling
- Imitation
- Why Do I Need This?
- Within One’s Expertise
- Discovery
- On the Boundary
- Only Part of the Picture
- Relearning
- Above My Level
- Participation
- Variations on Simple Harmonic Motion
- The Least Memorization Possible
- Last-Minute Stuffing
- Confidence
- Participation
- Transforming

## 2016

- Relating
- Cementing
- Number-Crunching
- Simple Harmonic Motion
- Struggle
- Starting Simple
- The Short Route
- Where to Start
- Over the Hump
- Understanding Graphs
- Understanding Terminology
- Traction
- Lead By Example
- The Spotlight
- All In
- Quick Computation
- Order of Operations
- Appreciating the Why
- Building On Top of Each Other
- The Skill of Spotting
- Slumps
- Masking
- This Isn’t The Forefront
- Testing Terminology
- A Place To Be Wrong
- Competitiveness
- Incompatible Ideas
- Time Remaining
- Proofs Can Be Useful
- Good Enough
- Being Smart Doesn’t Have to be About Mathematics or Science
- Derailed Goals
- The Little Frustrations
- The Last-Minute Rush
- Jolting Your Ego
- Stages of Preparation for an Exam
- Qualifying Language
- The Survivor
- A Sense of Play
- Finishing Sentences
- Reading a Solution
- Expertise Does Not Imply Teaching Skills
- Repeating
- Fluency
- Role Reversal
- Cynical
- Jagged Edges
- Not Just For The Test
- Motivation
- A Bunch Of Formulas
- Logical Implications
- Cardioid
- Qualifying Language
- Changing One Block
- Questioning
- Portrayals
- Overstuffing
- A Needless Goal
- Should I Use A Complicated Word?
- Analogies in Teaching
- Energy In
- Building On Top of Each Other
- Can You Change Your Mind?
- What’s in a Good Question?
- Memory Aids
- Electric Shock
- Science Education and Self Learning
- Base
- Elitist
- Defining
- Are You Sure?
- Fickle
- Elegance
- Are You Willing to be Mediocre?
- Slowly Chipping Away
- These Rules Are Stupid
- Scales
- Showing Up On the Nth Day
- Intuition
- Storyline
- Mountains
- Unconscious Dominoes
- The Kill Shot
- You Don’t Have to Love Every Day
- Transfer Difficulty
- The Unwatched Laboratory
- Those Who Are Left
- Absolutes
- An Informed Decision
- Will You Choose to Act?
- Improvement is Not a Race
- Optimal Configurations
- Balance
- Failure
- Reliance on Motivation
- Framing
- The Great Squeeze
- Nanometres
- Pointing Fingers
- Building up the Work
- Curves
- Defaults
- Avoid the Surges
- False Slopes
- Fun
- Cold-Hearted Science
- Future vs. Present You
- Willing to be Wrong
- Approximation
- Excitement
- Deviation
- What’s Worth Remembering
- He vs. She vs. They
- I Get To
- Autopilot
- A Million Choices
- Big
- Just Take a Step
- Driven by the Process
- You’re Not an Impostor
- Iteration
- What’s Holding You Back?
- Amazing Accomplishments are a Byproduct
- Cherry Picking
- Doubt
- Advice on Advice
- Practice
- Teaching
- Walking in Circles
- Just Give Me the Formula
- The Guarantee
- Closed
- Ion Drives and Rockets
- Patterns
- Area Under the Curve
- Half
- Density
- What Are You Practicing?
- Influence and Leaders
- Binary
- A Little is Worse Than Nothing
- Goals Are Milestones
- Application
- The Long Tail
- Tools