VIC MATHS NOTES

Teacher's Corner

Quick Links:
Maths Resources
Research, Articles, Summaries, and Videos
Podcasts

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Add Victorian Term Dates for Term 4 2021 to 2030 to Your Calendar (ics download)

VCE Information and Study Tips
GAT: General Achievement Test
Study Score and Scaling

EduTwitter
#mtbos
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#MathsTalk
#MathStratChat
#MathsChat
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#MathsCPDChat

Workshops & PD are available, click here for more information.

Maths Resources

Maths Websites
Maths PD

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Resourceaholic (Jo Morgan Resources) [Tom Manners ResourceFULL Tour]

Math with Bad Drawings (Ben Orlin Blog)

Advice to Math Teachers Joining Twitter (Ben Orlin Blogpost)

Mathematical Hooks (Padlet)
DET Maths Curriculum Companion (Resources) [Videos]
Timeline of Mathematics (Mathigon Interactive)
Famous Mathematicians Display (Nathan Day updated George Stone PPT)
50 Mathematical Quotations (Nathan Day PPT)
Quick Curriculum Guides for Parents & Teachers (Dr Paul Swan Resources)
Great Maths Teaching Ideas (William Emeny Resources)
Mathematics for Elementary Teachers (Michelle Manes Digital Textbook)
MATHS = Love (Sarah Carter Resources)
Free Math Apps (The Math Learning Centre Apps)
Virtual Manipulatives (Toy Theatre)
Maths White Board (Matt Woodfine Maths White Board Generator) [Maths White Board - Training video part 1]

Misconception generator (Maths White Board)

Maths Command Words - Any Language (Mark McCourt Spreadsheet)
Mathematics Curriculum (Core Knowledge Foundation Curriculum)
Byrne’s Euclid - The First Six Books of The Elements of Euclid with Coloured Diagrams and Symbols (Oliver Byrne Digital Book)
Maths Planning Padlet (Hannah Radders Padlet)
Dynamic Representations (Enigma Maths Hubs Website)
Maths Curriculum (Shaping Minds Australia Primary Maths Curriculum)
Mathematics Hub (Maths In Schools Teaching and Learnng Resources)
Mathematics Course Material (Marta Hidegkuti Resources)
MadAsMaths (Resources)
Mathshelper (Resources)
Dr Frost Maths (Dr Jamie Frost Resources)
Overleaf (Online LaTeX Editor)
Spurious Correlations (Tyler Vigen - correlation is not causation examples)

Explanations and Checking for Understanding

Diagnostic Questions (Craig Barton Diagnostic Questions) [Tom Manners ResourceFULL Tour]
Berwick Maths (Joe Berwick Worked Example, Diagnostic Questions)
NonExamples (Jonathan Hall Worked Examples)
Better Explained (Kalid Azad Explanations)
AMSI (AMSI & AMSI Schools Resources)
AMSI Times Modules (AMSI Explanations, Examples, Questions)
AMSI VCE Modules (AMSI Explanations, Examples, Questions)
Mathematical Guidance: Key Stages 1 and 2 (DfE Explanations, Worked Examples)
Mathematics Guidance: Key Stage 3 (DfE Explanations, Worked Examples)
Mathematical Beauty (Dan Pearcy Explanations)
Improving Vocabulary in Mathematics (Ben Gordon Summary)
Boss Maths - Vocab (Boss Maths Booklet)
Prefixes and Suffixes in Maths (Ben Gordon Summary)
Suffixes, Prefixes, and Roots (AJ Smith Summary)
Arithmetic, Terminology, and Methods [PPT] (Vic Maths Notes Presentation)
Make 'Em Think Maths (Mr McGuire Explanations)
Frayer Model (Peter Mattock Explanations) [Tom Manners ResourceFULL Tour]
Shared Maths Quizzes Exit Tickets (Tim Dolan Padlet)
Last White Board (Matt Woodfine Maths White Board Generator)
KS3 key ideas exemplified (NCETM PowerPoints)
Mathematics with Worked Examples (Michael Pershan Worked Examples)
Maths Universe - Worked examples (Jake Gordon Worked Examples)
Speak Like a Scholar (Hannah Smith Etymology PPT)

Questions

Increasingly Difficult Questions (Dave Taylor Questions) [Tom Manners ResourceFULL Tour]
Backward Faded Maths (Dave Taylor Questions)
Variation Theory (Craig Barton Questions)
Corbett Maths (Corbett Maths Questions, Videos)
SSDD Problems (Craig Barton Mixed Questions)
Boss Maths (Sudeep Gokarakonda Explanations, Interactives, Questions)
Starting Points Maths (Chris McGrane Questions) [Tom Manners ResourceFULL Tour]
- Curriculum Booklets
Miss E Resources (Miss E Questions)
More-Same-Less (Peter Mattock, Ashton Coward, Jean Knapp Questions) [Tom Manners ResourceFULL Tour]
Depth of Knowledge Matrices (Robert Kaplinsky Questions)
Surprising Practice (Dan Pearcy Questions) [Dan Pearcy - Notes]
Jethwa Maths (Devina Jethwa Questions)
Maths4Everyone (David Morse Questions)
Interactive Maths (Dan Rodriguez-Clark Questions)
Interactive Maths Generators (Dan Rodrigeuz-Clark Questions)
Maths White Board (Matt Woodfine Questions) [Tom Manners ResourceFULL Tour]
Sketch CPD Resources (Charlotte Hawthorne Questions)
Josh Martin Maths (Josh Martin Questions)
#MathStratChat Central (Pam Harris Questions)
Mr Coward Maths (Aston Coward Questions)
MathByExample and AlgebraByExample (SERP Institute Questions) [Tom Manner ResourceFULL Tour]
Centre for Innovation in Mathematics Teaching CIMT Mathematics Enhancement Programme (CIMT Questions)
- CIMT Combined Booklet (CIMT Questions)
Purposeful Maths (Martin Green and Phil Bruce Questions)
Dynamic Diagnostic MCQs (Charlotte Hawthorne Questions)
Textbook Generator (Jonathan Hall [Maths Bot] Questions)
CIMT Complete PDF (Nathan Day Collection of CIMT Questions)
Level Up (Matt Woodfine Maths White Board Generator)
Interwoven Maths (Nathan Day Questions)
Dr Austin Maths (Dr Amanda Austin Questions)
Variation Grids (Jonathan Hall Questions)
Checkpoints (NCETM Questions)
OAT Maths (Jemma Sherwood & OrmistonAcads Booklets and PowerPoints)
Play With Your Math (Play With Your Math Questions)
Crossover Workbooks (Sparx Maths Booklets)
Art of Problem Solving (AoPS Online Questions)
Secondary school O-Level test papers in Singapore (Test Papers Free)
Junior College Test Papers in Singapore (Test Papers Free)
Primary School Test Papers in Singapore (Test Papers Free)
ThatQuiz (That Quiz Generator)

Rich Tasks

Median (Don Steward Rich Tasks) [Tom Manners REsourceFULL Tour]
Open Middle (Robert Kaplinsky Rich Tasks) [Tom Manners ResourceFULL Tour]
Which One Doesn't Belong? WODB (Rich Tasks)
MathsHKO (Miss Konstantine Questions, Rich Tasks) [Tom Manners ResourceFULL Tour]
- Multiple Choice (Miss Konstantine Multiple Choice Questions)
What's in the Middle? (Rich Tasks)
Maths Venns (Craig Barton Rich Tasks)
Goal Free Problems (Rich Tasks) [Tom Manners ResourceFULL Tour]
Slow Reveal Graphs (Rich Tasks)
What's Going On in This Graph? (Rich Tasks)
3 Act Math (Dan Meyer Rich Tasks)
Mathematical Etudes (Colin Foster Rich Tasks)
NRICH (NRICH Rich Tasks, Resources) [Aligned to Australian Curriculum Years 1-6]
Underground Mathematics (Underground Mathematics Rich Tasks, Questions)
smilemaths (Hilary Povey and Gill Adams Rich Tasks)
Standards Units (NCETM Rich Tasks)

Technology

GeoGebra (GeoGebra Interactives, Online Graphics Calculator)
- GeoGebra books
Desmos (Desmos Interactives, Online Graphics Calculator)
Graspable Math (Grapsable Math Interactive Algebra Manipulation)
MathsBot (Jonathan Hall Resources, Digital Manipulatives, Question Generators) [Tom Manners ResourceFULL Tour]
More Technology (VIC Maths Notes Collection)

YouTube Channels and Websites

Topic Specific PD

Topics in Depth (VIC Maths Notes and Commentary)
Topics in Depth (Jo Morgan Videos and PPTs)
Pedagogy Prompts (Dan Pearcy Discussion Prompts) [Dan Pearcy - Notes; Atul Rana Pedagogy Prompts Discussion]
The Decimal Point and Place Value (Peter Mattock Blogpost)
How I Teach Sketching Transformed Graphs (Alex Blanksby Blogpost)
Two-colour Counters (Charlotte Hawthorne Blogpost)
Rounding Defamiliarisation (Dan Draper Blogpost)
Teaching Place Value...and not just about base ten (Charlotte Hawthorne Blogpost)
Cambridge Espressos (Cambridge Mathematics Research Summaries)
The Change-Resistance Explanation for Why Kids Struggle So Much with Algebra (Michael Pershan Blogpost)
Teaching sequences (Tom Riley Blogpost)
The science of counting - a visual explainer of the 5 counting principles (Inner Drive Blogpost)
Probability in School (Jemma Sherwood Video)
An Open Box is a Window (Sam Blatherwick Blogpost)
Subtending Angles (Amie Coley Blogpost)
Ratio Tables Across the Curriculum (Kathyrn Clark Blogpost)
Ratio Tables: Moving to Generalisation (Kathyrn Clark Blogpost)
Tangible contexts for mathematics (Colin Foster Blogpost)
#MathsChatLive with Mahesh Sharma and panel on mathematics teaching (Atul Rana Video)
Learning times tables efficiently (Colin Foster Blogpost)
Subtraction, Multiplication, and Division (Dr Stephen Norton at researchED Melbourne Video)
Teaching and Learning Fundamental Mathematics (Dr Stephen Norton Videos $)
Addressing Misconceptions in Secondary Geometry Proof (Cirillo & Hummer Article)
Daydream Interweaver - Reciprocals (Nathan Day Presentation)
Is area more difficult than volume? (Colin Foster Blogpost)
Rounding Numbers at the Halfway Point: A Hard Pill to Swallow? (Dr Rowlandson Blogpost)
Questions and Answers about Addition Fact Research (Michael Pershan Blogpost)
Questions and Answers about Multiplication Fact Research (Michael Pershan Blogpost)
Flash cards don't always work for multiplication facts (Michael Pershan Blogpost)
Introducing vectors (part 1) (Gethyn Jones Blogpost)
Proportionality (Colin Foster Blogpost)
Fact Families: Part 1 (Sam Blatherwick Blogpost)
Fact Families: Part 2 (Sam Blatherwick Blogpost)
Should we introduce speed using s×t=d instead of s = d÷t? (Gethyn Jones Blogpost)
Distributivity Mixed Practice (Dan Draper Blogpost)
Lengthy Procedures (Sam Blatherwick Blogpost)
Thinking About Interior and Exterior Angles (Part 2 of 3): Deriving the Formula for the Sum of Interior Angles (Dr Rowlandson Blogpost)
Thinking About Interior and Exterior Angles (Part 3 of 3): Different Ways to Create Problems With Angles in Regular Polygons (Dr Rowlandson Blogpost)
Reasoning With Variable Acceleration (Dan Draper Blogpost)
Product of Primes: Extending and Deepening Understanding (Dan Draper Blogpost)
The effect of retrieval practice on fluently retrieving multiplication facts in an authentic elementary school setting (Fieke H. A. Ophuis-Cox Article)
Introducing the conventions of Algebraic Notation (Mr Taylor Maths Blogpost)
Angles in triangles (Jason Steele Blogpost)
A Transformations Approach to Complex Numbers (Daniel Scher Blogpost)
Introducing Proof at A-Level (Tom Bennison Blogpost)
Angles in triangles (Jason Steele Blogpost)
Euclid and Sherwood (Anne Watson Blogpost)
“Area’s Just Times” (Dan Draper Blogpost)
Five ways to improve your chart axes (Nicola Rennie Blogpost)

Variation Theory

What is made possible to learn when using the variation theory of learning in teaching mathematics? (Kullberg, Kempe, Marton Article)
On some necessary conditions of learning (Ference Marton, Ming Fai Pang Article)
Seeing an Exercise as a Single Mathematical Object: Using Variation to Structure Sense-making (Anne Watson, John Mason Article)
Variation and Mathematical Structure (Anne Watson Article)
The Role of Variation in the Design of Task Sequences (Anne Watson Video)
Variation Presentations and Articles (Anne Watson Links)
Task Design Presentations and Articles (Anne Watson Links)
Questions and Prompts for Mathematical Thinking (Anne Watson, John Mason Book Extract)
Communicating about Mathematics Pedagogy in Schools (Anne Watson, Els De Geest Booklet)
The use of variation theory in a problem-based task design study (Berie Getie Kassa, Liping Ding Article)
Variation Theory (Peps Mccrea Thread)
What Is Variation Theory? A Guide For Primary Maths Teachers (Neil Almond Blogpost)
What is teaching with variation and is it relevant to teaching and learning mathematics in England? (Laurie Jacques Article)
What variation theory is and isn't. A brief introduction. (Christian Moore-Anderson Blogpost)
Planning and Analyzing Teaching - Using the Variation Theory of Learning (Angelika Kullberg, Åke Ingerman, Ference Marton Open Access Book)

General Maths PD Videos and Podcasts

Complete Mathematics Map (Mark McCourt Video)
What makes people engage with math? (Grant Sanderson 3b1b - TEDxBerkely Video)
Atul Rana (Atul Rana YouTube Channel)
The Words We Use (Jenni Ingram Video)
How Might You Pass Math Anxiety on to Your Kids? (The Daniels on Research Video)
Teaching Math with Examples, and How Face-to-Face and Online Classrooms Differ (Michael Pershan Video)
Successfully differentiating Maths lessons to address gaps in understanding (Alex Blanksby and Tom Christiansen Video)
Teaching for Depth at Key Stage 3 CPD (Jo Morgan Video)
Making Connections - The Power of Interweaving [Slides] (Nathan Day Video)
Facts and Myths about Dyscalculia (James Calleja Video)
What every teacher needs to know about Place Value... (Thinking Deeply about Primary Education Podcast)
Explicit maths teaching at Clarendon (Caiti Wade at researchED Video)

General Maths PD Articles

Research review series: mathematics (Ofsted Research Review)
Tools or Crutches? Apparatus as a Sense-Making Aid in Mathematics Teaching with Children with Moderate Learning Difficulties (Lio Moscardini Article)
Concrete Materials and Teaching for Mathematical Understanding (Patrick Thompson Article)
Relational and Instrumental Understanding (Skemp Article)
Effects of a Mathematics Cognitive Acceleration Program on Student Achievement and Motivation (Finau, Treagust, Won, & Chandrasegaran Article)
Failing to Teach the Teacher: An Analysis of Mathematics Initial Teacher Education (CIS, Glen Gahey, Jordan O'Sullivan, Jared Bussell Article)
Maths teaching myths that undermine results (Powell, Huges, & Peltier Article)
Content Knowledge for Teaching What Makes It Special? (Ball, Thames & Phelps Article)
The Need For Speed: why fluency counts for maths learning (CIS, Toni Hatten-Roberts Article)
Low-Attaining Secondary School Mathematics Students’ Perspectives on Recommended Teaching Strategies (Hodgen, Foster, Brown, & Martin Article)
Evidence for Cognitive Science Principles that Impact Learning in Mathematics (Booth, McGinn, Barbieri, Begolli, Chang, Miller-Cotto, Yound, Davenport Article)
Maths Practices You Can Count On - Five Research-Validated Practices in Mathematics (Sarah Powell, Sarah King , Sarah Benz Article)

General Maths PD Online Books

Teaching Mathematics at Secondary Level (Tony Gardiner Book)
Encyclopedia of Mathematics Education (Stephen Lerman Encyclopedia)
Professional development | LUMEN (Loughborough MEC Website)
Learning to Think Mathematically (The Math Learning Centre Website)
- Learning to Think Mathematically with the Rekenrek (The Math Learning Centre Booklet)
- Learning to Think Mathematically About Multiplication (The Math Learning Centre Booklet)
- Learning to Think Mathematically with the Number Line (The Math Learning Centre Booklet)
- Learning to Think Mathematically with the Ratio Table (The Math Learning Centre Booklet)
Nix the Tricks (Tina Cardone Book)

General Maths PD Blogposts and Summaries

Increasing Rigour in the Maths Classroom (Ben Gordon Summary)
Questioning in Maths (Ben Gordon Summary)
This Way, That Way, Forwards and Backwards (Dr Rowlandson Blogpost)
Common Maths Struggles - some examples. (Tom Sherrington Blogpost)
Thoughts about Arbitrary and Necessary Knowledge (Alex Blanksby Blogpost)
The Problem Solving Poster (David Butler Blogpost)
Big Ideas for Improving Attainment in Mathematics (Chris McGrane Blogpost)
Decision Isolation - Practical Strategies to Help Students Interpret Problems (David Busby Presentation)
Making Long Problems Shorter (Michael Pershan Blogpost)
Language in mathematics (Jemma Sherwood Blogpost)
Taking Notes vs. Doing Math (Henri Picciotto Blogpost)
What People Get Wrong About Memorizing Math Facts (Michael Pershan Blogpost)
You Aren’t Checking for Understanding (Dani Quinn Blogpost)
Momentum Over Pace: Medians/Solving Quadratics by Factorising (Dan Draper Blogpost)
Ten Things Your Child’s Maths Teacher Wants You To Know (Complete Maths Blogpost)
Teaching through listening (Amie Albrecht Blogpost)
Cognitive Payload (Dan Draper Blogpost)
Making Sense of Worked Example Research (Michael Pershan Blogpost)
I can’t multiply 2573 by 389. (Ben Orlin Blogpost)
Intro-ducing and outro-ducing methods (Colin Foster Blogpost)
Using Numbers to Highlight Connections (Dr Rowlandson Blogpost)
Homework Q&A (Michael Pershan Blogpost)
Other(ing) Explanations (David Butler Blogpost)
Etymologically Speaking: A Teacher’s Guide to Helping Children Understand Mathematical Vocabulary (John Duffty Blogpost)
Butterfly effects when adapting tasks (Colin Foster Blogpost)
Unpacking the mathematical demands of teaching (Amie Albrecht Blogpost)
Rich tasks or tasks used richly? (Amie Albrecht Blogpost)
Opening up tasks: the ‘what-if-not’ technique (Amie Albrecht Blogpost)
A Systematic and Structured Approach to Teaching Primary Mathematics (Part 1) (Brendan Lee Blogpost)
PowerPoint PSAs (Nathan Day Demos)
The myth of copying things down (Craig Barton Blogpost)
Five Ways to use Worked Examples (Alex Blanksby Blogpost)
Mathematical Literacy & Communication (Amie Meek Blogpost)
Five Ways To Use Self-Explanation Prompts (Alex Blanksby Blogpost)
5 Key Principles for Teaching Primary Mathematics Effectively (Brendan Lee Blogpost)
Lagging Homework (Henri Picciotto Blogpost)
Do we really need to assign homework? (Michael Pershan Blogpost)
Does reading *really* matter in mathematics? (Alex Quigley Blogpost)
What should we teach first and why? (Tom Riley Blogpost)
Inclusive language in exams (Harriet Cannon Summary)
Thinking about conceptual understanding (Jemma Sherwood Blogpost)
Challenge Expected (Nathan Day Presentation)

NCETM'S Five Big Ideas

Variation (Tom Manners Video)
Mathematical Thinking (Tom Manners Video)
Fluency (Tom Manners Video)
Coherence (Tom Manners Video)
Representation and Structure (Tom Manners Video)

MathsConf23 (La Salle Education Videos)

Research, Articles, Summaries, and Videos

General
Instruction
Practice
Feedback
Other

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How I Read Articles (Dr George Stone Blogpost)
Research reflection guide (Australian Education Research Organisation Guide)

AERO | Australian Education Research Organisation (AERO Website)
EEF - Education Endowment Foundation (EEF Website)

In Their Own Words - What Scholars and Teachers Want You to Know About Why and How to Apply the SCience of Learning in Your Academic Setting (Society for the Teaching of Psychology eBook)

How to implement a whole-school curriculum approach: A guide for principals (Grattan Institute Guide)

What works best: Evidence-based practices to help improve NSW student performance (CESE Report)
What works best: 2020 Updated (CESE Report)
Overcoming the Odds: A study of Australia’s top-performing disadvantaged schools (Centre for Independent Studies Report)
What Makes Great Teaching? (Sutton Trust Report)
Great Teaching Toolkit: Evidence Review (Cambridge Assessment International Education Report)
Organizing Instruction and Study to Improve Student Learning (What Works Clearinghouse Guide)
The Cognitive Science Go-Bag (CogSciSci Cognitive Science Blogs and Resources)
How Learning Happens (Kirschner and Hendrick Summary)
Sketch CPD (Charlotte Hawthorne Sketchnotes)
Small Change; Big Impact. Six Suggestions. (Tom Sherrington Blogpost)
The Five Forms of Feedback I Give to Teachers Most Often... (Tom Sherrington Blogpost)
10 Low Impact Activities to do Less of - or Stop Altogether (Tom Sherrington Blogpost)
Shifting Lines: Does everything work somewhere? (Adam Boxer Blogpost)
Now, Next and Beyond: Thoughts on Continual Improvement (Kat Howard Blogpost)
Education Research - The Evidence (Greg Ashman Blogpost)
Research Summaries (Dr George Stone Summaries)
Back to basics with the six principles (Shaun Allison Blogpost)
Counter-examples in CPD. The power of ‘don’ts’ (Tom Sherrington Blogpost)
Making the juice worth the squeeze: The anatomy of lethal mutations (Adam Robbins Blogpost)
Improvement ain’t a bad word (Dr Jo Castelino Blogpost)
Five Ways To... the Booklet (Tom Sherrington Booklet)
Mary Myatt Overrated vs Underrated (David Goodwin Summary)
Growing Great Teachers (David Goodwin Summary)
Building Research Lens with Poppy Gibson (David Goodwin Summary)
Backwards Planning (David Goodwin Summary)
Things that have worked for me Part 1 (Ben Newmark Thread)
Things that have worked for me Part 2 (Ben Newmark Thread)
Five tips for better Instructional Coaching (Oliver Lovell Blogpost)
Launching Steplab in Incremental Steps at Harris St John's Wood (Steplab Blogpost)
Observing better: The Hypothesis Model (Adam Boxer Blogpost)
Autonomy vs consistency (Dr Jo Castelino Blogpost)
Modelling Evidence-Based Practice in Initial Teacher Training: Causal Effects on Teachers' Skills, Knowledge and Self-efficacy (Ambition Institute Article) [3-Page Summary]
Improving teaching practice at the individual-level (Dr Jo Castelino Blogpost)
How students learn | Australian Education Research Organisation (Australian Education Research Organisation Guide)
Effective Teacher Professional Development: New Theory and a Meta-Analytic Test (Sims, Fletcher-Wood, O’Mara-Eves, Cottingham, Stansfield, Goodrich, Van Herwegen, Anders Article)

Teaching Problems → Solutions

TPS1: Knowledge Gaps. (Tom Sherrington Blogpost)
TPS2: Covering a class (substitute teacher) (Tom Sherrington Blogpost)
TPS3: Wide Ability Range! (Tom Sherrington Blogpost)
TPS4: How can parents help with learning and revision? (Tom Sherrington Blogpost)
TPS5: How do I adapt material for a wider ability range ? (Tom Sherrington Blogpost)
TPS6: How do I engage passive learners? (Tom Sherrington Blogpost)
TPS7: How do I handle a misogynistic group of boys… ? (Tom Sherrington Blogpost)
TPS8: How do I manage a congested curriculum? (Tom Sherrington Blogpost)
TPS9: How can I work most effectively with a teaching assistant in my lessons? (Tom Sherrington Blogpost)
TPS10: How do I manage the class when a bee enters the room? (Tom Sherrington Blogpost)

New and Training Teachers

Lessons for NQTs: My List of Things that Worked (Ben Gordon Summary)
Lessons for NQTs: No Good (Ben Gordon Summary)
The Early Career Hub (Articles and Resources)
Five Things I Wish I Knew When I Started Teaching (Carl Hendrick Blogpost)

Preservice Teachers Interview Eddie Woo

What do I expect of preservice teachers? (Eddie Woo Video)
How should I teach when everyone's advice is different? (Eddie Woo Video)
How do you structure a lesson? (Eddie Woo Video)
Do you prefer the teaching, or the mathematics? (Eddie Woo Video)
How do I ensure all my students are on track? (Eddie Woo Video)
How do we assess students beyond traditional tests? (Eddie Woo Video)
What is the role of formative assessment? (Eddie Woo Video)
What does engaging teaching look like? (Eddie Woo Video)

Rosenshine's Principles of Instruction

Rosenshine's Principles of Instruction (Barak Rosenshine Article)
Rosenshine's Principles of Instruction Summary (Sherrington and Caviglioli Summary)
Barak Rosenshine's Principles of Instruction (Tom Sherrington - researchEd19 Video)
Are Roseshine's Principles "just common sense"? (Tom Sherrington researchED19 Blogpost)
Rosenshine and Curriculum: What's the Connection? (Tom Sherrington - researchEd Video)
Rosenshine's Principles 10 FAQs (Tom Sherrington Blogpost)
The Woods and the Trees: Breaking Rosenshine (Adam Boxer Blogpost)
Critique of Lowercased di (directed instruction) (Siegfried Engelmann Article)

Explicit Instruction

Planning Effective Teacher Led Lessons (Pritesh Raichura - researchED Video)
Quality Teacher Talk - Clear Teacher Explanations (Pritesh Raichura - researchED Video)
Clear Teacher Explanations (Pritesh Raichura Blogposts)
Why Minimal Guidance During Instruction Does Not Work (Kirschner, Sweller, Clark Article)
Explicit Teaching, Critical Thinking and Creativity (Greg Ashman - researchED Video)
How to teach: It is bigger than The Reading Wars (Emina McLean Blogpost)
Explicit Teaching (CESE Resources and Video)
The Process of Modelling (Nimish Lad Blogpost)
Disciplinary Discourse: Using Subject Vocabulary (Miss D Cox Blogpost)
3 ways to improve your explanations (Adam Boxer Blogpost)
Checking for Understanding (Tom Needham Blogpost)
Tech for improving your explanations: what and how (Adam Boxer Blogpost)
Keeping the one, losing the many (Adam Boxer Blogpost)
Achieving 100% Student Attention: Why? (Pritesh Raichura Blogpost)
Checks for Listening: 100% Participation (Pritesh Raichura Blogpost)
Set Them Up for Success: Four Whole-School Strategies (Pritesh Raichura Blogpost)
The Three Phases of Questioning (Pritesh Raichura Blogpost)
Teaching some vs teaching all. This is where the action for improvement lies. (Tom Sherrington Blogpost)
How teachers sequence examples influences what students learn (Peps Mccrea Thread)

Direct Instruction (DI) and Engelmann

Student-Program Alignment and Teaching to Mastery (Siegfried Engelmann Article)
Theory of Instruction: Principles and Applications (Engelmann, Carnine Book)
Engelmann and Carnine's Theory of Instruction Summary (pptx) (Vic Maths Notes Summary)
NIFDI: National Institute for Direct Instruction (National Institute for Direct Instruction Website)
Cognitive Load Theory and Engelmann: A Starting Point for a Common Vocabulary (Alex Blanksby Blogpost)
Engelmann and the Theory of Instruction - A discussion with Q&A (Atul, Naveen, Kris, Brett, Sam, Alex Video)
Clear Teaching with Direct Instruction, Siegfried Engelmann Discovered a Better Way of Teaching (Shepard Barbash and Education Consumers Foundation eBook)
Clear Teaching Summary (Vic Maths Notes Summary)
Origins and Elements of Authentic Direct Instruction (National Institute for Direct Instruction and Kurt Engelmann Video)
How I Teach the Heart: Part 1 (Ahmed Khattab on Chat Biology Blogpost)
Introducing Coordinate Member to a Set (Alex Blanksby Presentation)
Variation Theory and Englemann: A Comparison (Alex Blanksby Blogpost)
Teaching through examples. Consider these two scripts for… (Dr Tom Chillimap Blogpost)
Thank you, Siegfried Engelmann. Thank you. (Naveen Rizvi Blogpost)
Engelmann: Communicating through Covertization (Naveen Rizvi Blogpost)
Engelmann's Faultless Communication in the Classroom: Algebra (Naveen Rizvi Blogpost)
Engelmann Insights: Structuring for the Weakest Pupils
- Part 1 (Naveen Rizvi Blogpost)
- Part 2 (Naveen Rizvi Blogpost)
- Part 3 (Naveen Rizvi Blogpost)
- Part 4 (Naveen Rizvi Blogpost)
Insights from Direct Instruction
- Part 1 (Tom Needham Blogpost)
- Part 2 (Tom Needham Blogpost)
- Part 3 (Tom Needham Blogpost)
- Part 4 (Tom Needham Blogpost)
- Part 5: Teaching Generalisable, High-utility Content (Tom Needham Blogpost)
- Part 6: Five Principles for Sequencing and Ordering Examples (Tom Needham Blogpost)
- Part 7: Instructional Formats (Tom Needham Blogpost)
- Part 8: The 6 Shifts of Task Design (Tom Needham Blogpost)
- Part 9: The Sequencing of Skills (Tom Needham Blogpost)
How can you choose what to teach? (Tom Needham Blogpost)
National Institute for Direct Instruction (Website)
Where to Learn about Direct Instruction (Kris Boutlon Blogpost)
Project Follow Through Summary (Sam Hall Thread)
DI ≠ di, and why that matters (Sam Hall Blogpost)
Why isn't DI more popular? (Sam Hall Blogpost)
What could a scripted 'Direct Instruction' lesson look like? (Sam Hall Blogpost)
What's the Deal with Direct Instruction (DI)? (Sam Hall BrewEdClee 20201 Video)
Direct Instruction
- An Introduction (Sam Hall Blogpost)
- Knowledge - Part 1 (Sam Hall Blogpost)
- Knowledge - Part 2 (Sam Hall Blogpost)
- Knowledge - Part 3 (Sam Hall Blogpost)
Classroom 'Direct Instruction'
- Part I - The Review (Sam Hall Blogpost)
- Part II - Input (Sam Hall Blogpost)
- Part III - The Inversion (Sam Hall Blogpost)
- Part IV - The Application (Sam Hall Blogpost)
Reviving the Lost Art of Direct and Explicit Instruction (American Enterprise Institute Video)
Conference Keynotes (National Institute for Direct Instruction NFIDI Videos)

Experts and Novices

The Expertise Reversal Effect (Kalyuga, Sweller, Ayres, Chandler Article)
Categorisation and Representation of Physics Problems by Experts and Novices (Chi, Feltovich, Glaser Article)
Novices, Experts and Everything In-between: Epistemology and Pedagogy (Adam Boxer Blogpost)
What do teachers need to know? - Part 1 Subject Content Knowledge (Pete Foster Blogpost)
Experts and Novices: is that all there is? (Tom Needham Blogpost)

Cognitive Load Theory

Ollie Lovell introduces Cognitive Load Theory (Ollie Lovell & Lyn Stone Video)
Cognitive Load Theory in Action Summary (VMN Summary)
Cognitive Architecture and Instructional Design: 20 Years Later (Sweller Article)
Cognitive load theory: Research that teachers really need to understand (CESE Report)
Cognitive load theory in practice (CESE Report)
Cognitive Load Theory Effects Summary (Oliver Caviglioli Summary)
Cognitive Load Theory 2.0 Summary (Oliver Caviglioli Summary)
General Capabilities: A Perspective from Cognitive Science (CESE Report)
Meaning First (Efrat Furst Article)
Strengthening the Student Toolbox (Dunlosky Article)
Improving Students’ Learning With Effective Learning Techniques: Promising Directions From Cognitive and Educational Psychology (Dunlosky, Rawson, Marsh, Nathan, Willingham Article)
Demystifying Cognitive Load Theory (Purnima Valiathan Blogpost)
CLT, something every teacher should know (Gert Verbrugghen Video)
A Teachers' Guide to Cognitive Load Theory (Daniel Braithwaite Summary)
Cognitive Load and Classroom Teaching: The Double-Edged Sword of Automaticity (David Frank Feldon Article)
Transience and Cognitive Load (Oliver Caviglioli Summary)

Examples, Explanations, and Elaborations

Learning from Examples: Instructional Principles from the Worked Examples Research (Atkinson, Derry, Renkl, Wortham Article)
Choose wisely (Dr Jo Castelino Blogpost)
They aren’t listening (Adam Boxer Blogpost)
Script it! (Ollie Lovell Blogpost)
How do we make the most of examples, explanations, and elaborations? (Alex Blanksby on Think Forward Educators Video - free account required)
Creating Effective Lessons the Easy way with Dr. Fred Jones (KidVisionAZ Video)

Dual Coding

Dual Coding with Teachers Summary (Oliver Caviglioli Summary)
Dual Coding | Making Visual Work (The Learning Agency Video)
Mastery Learning Cycle Summary (Oliver Caviglioli Summary)
Teacher Explanation: Knowledge Structures & Memory (Oliver Caviglioli Summary)
Dual Coding for Teachers Who Can't Draw: Teacher's Explanations (Adam Boxer researchED Video)
Representational and decorative pictures in science and mathematics tests: Do they make a difference? (Marlit Annalena Lindner Article)
Clear Teacher Explanations 2f: Dual Coding Mistakes (Pritesh Raichura Blogpost)
Richard Mayer's 12 Multimedia Instructional Principles (Mike Tyler Videos)
Keep it Coherent: A Meta-Analysis of the Seductive Details Effect (Sundararajan, Adesope Article)
Searching for Meaning using Graphics Organisers (David Rodger-Goodwin Blogpost)
Step-By-Step Video Tutorial: How to Create a Graphic Organiser (David Rodger-Goodwin Blogpost)
Dual Coding in a Nutshell (Ian Taylor Blogpost)
Organise Ideas: Graphic Organisers for Meaningful Learning (David Rodger-Goodwin Blogpost)

Diagnostic Questions

Dylan William's view on Diagnostic Questions (Eedi Video)
Ratio: The Highest Leverage Classroom Strategy You've Probably Never Heard of (Adam Boxer - researchED Video)
How do I engage my students? FAQs on Ratio (Adam Boxer Blog)
Diagnostic Questions (Diagnostic Questions) [Tom Manners ResourceFULL Tour]
How Children Fail (John Holt Book)
Effective Questioning in the Classroom (Pritesh Raichura - researchED Video)

Video Recording

Some Top Tips for Making Teaching Videos (Adam Boxer Blogpost)
Learning in double time: The effect of lecture video speed on immediate and delayed comprehension (Dillion H. Murphy et al Article)

Student Study Guide (Oliver Caviglioli Summary)
Challenge Beyond Bloom's (Adam Boxer Blogpost)
How to Write SLOP (CogSciSci Module)
Writing Good Biology SLOP [applies to more than biology] (Pritesh Raichura & CogSciSci Video)
Whole School Home Learning Strategy part 1 (Tom Needham Blogpost)
Whole School Home Learning Strategy Part 2 (Tom Needham Blogpost)

Interleaving

Interleaving Helps Students Distinguish among Similar Concepts (Rohrer Article)
Interleaving | Mixed Up Practice (The Learning Agency Video)
A Randomised Controlled Trial of Interleaved Mathematics Practice (Rohrer Article)
Interleaved Mathematics Practice (Rohrer, Dedrick, Agarwal Article)

Differentiation

The Feasibility of High-end Learning in a Diverse Middle School (on Differentiation) (Brighton Report)

Deliberate Practice

The Making of an Expert (Ericsson, Prietula, Cokely Article)
The Role of Deliberate Practice in the Acquisition of Expert Performance (Ericsson, Krampe, Tesch-Römer Article)
The 85% Rule for Learning (Scott H Young Article)

Spaced and Retrieval Practice

Applying Cognitive Psychology to Enhance Educational Practice (Bjork Lab Videos and Article)
How to use Retrieval Practice to Improve Learning (Pooja Agarwal Article)
Retrieval Practice | Use Low-Stakes Tests to Promote Learning (The Learning Agency Video)
How to use Spaced Retrieval Practice to Boost Learning (Carpenter, Agarwal Article)
Spacing | Revisit Material to Boost Outcomes (The Learning Agency Video)
How to Remember Anything, Forever (Daisy Christodoulou - researchED Video)
How to Remember Anything Forever-ish (Nicky Case Interactive Article)
Retrieval Practice and Transfer of Learning: Fostering Students' Application of Knowledge (Pan, Agarwal Article)
Benefits from Retrieval Practice are Greater for Students with Lower Working Memory Capacity (Pooja Agarwal Article)
Classroom-based Programs of Retrieval Practice Reduce Middle School and High School Students' Test Anxiety (Pooja Agarwal Article)
Retrieval Practice & Bloom's Taxonomy: Do Students Need Fact Knowledge Before Higher Order Learning? (Pooja Agarwal Article)
Spaced, Interleaved, and Retrieval Practice: The Key to Long-term Knowledge Retention (David Morkunas Video)
Why Students Forget—and What You Can Do About It (Youki Terada Article)
How to Not Screw Up Retrieval Practice (Adam Boxer Blogpost)
Cornell versus Ebbinghaus (e=mc2 and all that Blogpost)
A Collection of Retrieval Practice Research and Resources (Kate Jones Blogpost)
Carousel Learning (Adam Boxer Website)
Retrieval Practice & Action Research (The Daniels on Research Video)
It Matter How to Recall - Task Differences in Retrieval Practice (Endres, Kranzdorf, Schneider, Renkl Article)
An Annotated Forgetting Curve (Teach Like a Champion Article)
Refining Retrieval – What does the evidence say about the testing effect? (Pete Foster Blogpost)
Working with a bottom set year 11: how I do it (Adam Boxer Blogpost)
Making the juice worth the squeeze: Retrieval Practice – Reflections on Education (Adam Robbins Blogpost)
7 Myths about retrieval practice (David Goodwin of Kate Jones Summary)
An astonishing regularity in student learning rate (Koedinger, Carvalho, Lui, McLaughlin Article)
Optimizing Schedules of Retrieval Practice for Durable and Efficient Learning: How Much Is Enough? (Rawson and Dunlosky Article)
Successive Relearning: An Underexplored but Potent Technique for Obtaining and Maintaining Knowledge (Rawson and Dunloskly Article)

Other

Should we expect students to follow our methods? (Jo Castelino Blogpost)

Feedback and Formative Assessment / Assessment for Learning

The Secret of Effective Feedback (Dylan Wiliam Article)
An Introduction to Formative Assessment (Dylan Wiliam Video)
Formative Assessment: What it is and What it's Not (Dylan Wiliam Video)
Inside the Black Box: Raising Standards Through Classroom Assessment (Black, Wiliam Article)
Mathematics Inside the Black Box: Assessment for Learning in the Mathematics Classroom (Hodgen, Wiliam Article)
“It's ok — Not everyone can be good at math”: Instructors with an entity theory comfort (and demotivate) students (Rattan, Good, Dweck Article)
Feedback -- We Still Don't Know What Works (Michael Pershan Blogpost)
Designing a Feedback (not Marking) Policy (Jemma Sherwood Blogpost)
A Plea to Heads of Maths and Senior Leaders (On Feedback & Marking) (Jemma Sherwood Blogpost)
Kitchen Pedagogy: Five Ways to Check for Understanding (Tom Sherrington Video)
Using Mini Whiteboards to Check for Understanding (Greg Thornton Summary)
Checking for Understanding (David Goodwin Summary)
If they get it wrong, then I will… (Adam Boxer Blogpost)
Right is Right: How to avoid rounding up answers and breaking bad habits (Adam Robbins Blogpost)
Feedback: hitting home (Adam Boxer Blogpost)
Questioning for retrieval: five mistakes to avoid (Harry Fletcher-Wood Blogpost)
The perils of Rounding Up students' answers 💬 (Craig Barton Blogpost)
Looking at assessments differently (Jo Castelino Blogpost)

Behaviour

Managing management: a couple of tips and tricks for better behaviour (Adam Boxer Blogpost)
Case Study from Totteridge Academy (Adam Boxer Video)
Classroom Management: Creating and Maintaining Positive Learning Environments (CESE Report)
The Beginning Teacher's Behaviour Toolkit: A Summary (Tom Bennet Summary)
10 Tips for New Teachers (Jonathan Porter Blogpost)
Routines: why are they important and how can we embed them? (Jo Castelino Blogpost)
Front Loading (Adam Boxer Blogpost)
The Gaps in the Walls (Ben Newmark Blogpost)
Sir! I know this! Sir! Sir! (Adam Boxer Blogpost)
How I start a lesson (Ben Newmark Blogpost)
Golden Silence (Adam Boxer Blogpost)
Shifting your focus: a class-eye view (Adam Boxer Blogpost)
Dealing with *that* student: a different route (Adam Boxer Blogpost)
Teaching Behaviour: How Classroom Conduct Can Unlock Better Learning (Centre for Independent Studies CIS Analysis Paper)
Conduct Becoming. The importance of the Behaviour Curriculum (Tom Bennett in CIS Publication)
Set Them Up for Success: Four Whole-School Strategies (Pritesh Raichura Blogpost)
Effectively managing classrooms to create safe and supportive learning environments (Australian Education Research Organisation Guide)
Behaviour is a curriculum, treat it as such (Ollie Lovell Blogpost)
A well-planned lesson (Pete Foster Blogpost)
Positive Classroom Management Strategies: Getting Started Guide (VIC Department of Education Guide)

Sleep

Better Sleep Habits Lead to Better College Grades (Okano News Article)
Sleep Quality, Duration, and Consistency are Associated with Better Academic Performance in College Students (Okano Article)
"How to Study Less and Learn More": Explaining Learning Strategies to Our Students (Andrew Watson Blogpost)
Relearn Faster and Retain Longer: Along with Practice, Sleep Makes Perfect (Mazza et al. Article)

Motivation and Mindset

Using ‘approach goals’ to increase student motivation for independent study: a randomised controlled field trial (Sam Sims, Lura A. Outhwaite, Sophie Bennett Article)
Goodbye Growth Mindset, Hello Efficacy and Attribution Theory (Neelen, Kirschner Blogpost)
Growth Mindset: Is it really THAT easy? (The Daniels on Research Video)
An Attributional Theory of Achievement Motivation and Emotion (Weiner Article)

Other

Metacognition | Thinking About Thinking (The Learning Agency Video)
Effective Learning: Twenty Rules of Formulating Knowledge (Wozniak Article)
A Revision of Bloom's Taxonomy: An Overview (Krathwohl Article)
Supporting High Academic Expectations (CESE Report)
High Expectations (Nimish Lad Blogpost)
How to Think About Assessment (Dylan Wiliam Chapter)
Strategies to Increase Pace (Tom Needham Blogpost)
Observing Novice Teaching (Adam Boxer Blogpost)
Strategies to Help Students Experience Success (Dr Jo Castelino Blogpost)
Curriculum Planning Principles - with Example Sequence & Explanation (Pritesh Raichura Video)
Cutting Workload - a Couple of Ideas (Adam Boxer Blogpost)
What Makes Great Ed-Tech? (Sam Hall Blogpost)
Rescuing Differentiation from the Checklist of Bad Practice (Tom Sherrington Blogpost)
Delete, Substitute and Keep: A Practical Guide for Teaching Summarising and Note-Taking (David Rodger-Goodwin Blogpost)
Good explanations connect particulars to principles (Michael Pershan Blogpost)
The Biggest Myth In Education: VARK (Veritasium Video)
Building a strong culture of error (Dr Jo Castelino Blogpost)
How I plan (Ben Newmark Blogpost)
Kitchen Pedagogy: Five Ways to Build Confidence (Tom Sherrington Video)
Tips for Teachers (Craig Barton Website)
Set high expectations by (Adam Boxer Blogpost)
The Importance of Routines | Class Teaching (Shaun Allison Blogpost)
What do inclusive classrooms look like? (Ben Newmark Blogpost)
Retrieval Cues: Do Your Questions Help or Hinder? (Pritesh Raichura Blogpost)
Explicit Vocabulary Instruction 4: Efficient, Meaningful Practice (Tom Needham Blogpost)
Sixth Form Mistakes (Adam Boxer Blogpost)
Thoughts on knowledge (Dr Jo Castelino Blogpost)
MCA1: Step away from the speaker (Adam Boxer Blogpost)
MCA2: Filling the silence (Adam Boxer Blogpost)
MCA3: Pausing independent practice for feedback (Adam Boxer Blogpost)
MCA4a and b: Calling out calling out (Adam Boxer Blogpost)
MCA5: Targeting part 1 (Adam Boxer Blogpost)
MCA6: Targeting indicators (Adam Boxer Blogpost)
Are “higher order questions” a thing? (Adam Boxer Blogpost)
Turn and Talk (Pritesh Raichura Blogpost)
Do your pupils work hard enough? (Pritesh Raichura Blogpost)
SUBTRACT (Adam Boxer Blogpost)
Name at end (Adam Boxer Blogpost)

Targeting indicators: MCA6 (Adam Boxer Blogpost)
Curriculum Masterclasses. A free sample from the series (Tom Sherrington Videos)
What is the Science of Learning? (The Centre for Independent Studies, Trisha Jha Article)

Podcasts

Mr Barton Maths Podcast (Podcast)

Emma McCrea: Making every maths lesson count, training teachers, and the Learning Curriculum (Podcast)
Mark McCourt: Teaching for Mastery (Podcast)
Naveen Rizvi: Scripted Lessons, Examples, and Social Media (Podcast)
Robert and Elizabeth Bjork: Memory, Forgetting, Testing, Desirable Difficulties (Podcast)
Dylan William: Author, Researcher, Trainer, and Assessment for Learning Expert (Podcast)
Research in Action 4: Maths Anxiety with Kelly Trezise (Podcast)
Dan Draper: Overlearning and conceptual leaps (Podcast)
Adam Boxer: explanations, retrieval and maths & science working together (Podcast)
How to observe a lesson with Adam Boxer (Podcast)
How to plan a maths lesson with Craig Latimir (Podcast)
How to lead a maths department with Femi Adeniran and Matt Findlay (Podcast)

Education Research Reading Room (ERRR) Podcast (Podcast)

A Conversation with John Sweller (Transcripts)
John Hollingsworth on Explicit Direct Instruction (Podcast)
Daniel Willingham on When We Can Trust the Experts (Podcast)
Alexander Renkl on Self-Explanation (Podcast)
Tom Sherrington on 'The Most Important Thing' (Podcast)
Tom Bennett on Behaviour Management (Podcast)
Guy Claxton on the Learning Power Approach (Podcast)
Michael Pershan on Worked Examples (Podcast)
Sammy Kempner on Teaching with Group Work, Accountability, and Chants (Podcast)
Sam Sims on What makes effective Professional Development (Podcast)
Josh Goodrich on Instructional Coaching (Podcast)
Josh Goodrich coaches Ollie Lovell (Podcast)
Ben Jensen on the Importance of Curriculum (Podcast)
Daniel Willingham on How to Study (Podcast)

MathsTalk - AMSI (Podcast)

Filling the Pail - Greg Ashman (Podcast)

Dylan William (Podcast)

Knowledge with Professor David C. Geary (TES Podcast)
Implementing Mastery Learning with Emeritus Professor Thomas Guskey (Starting Points Maths Interview)

Tips for Teachers (Podcast)

Greenshaw Learning Trust & Friends Book Club (Podcast)

Rhiannon Rainbow and Dave Tushingham talking about teachers’ book club and more! (Atul Rana, Rhiannon Rainbow, Dave Tushingham Video)

Progressively Incorrect (Podcast)

Marcy Stein on Engelmann’s Direct Instruction and Project Follow Through (Podcast)

Knowledge for Teachers Podcast (Podcast)

Karen Tzanetopoulos on the Science of Math Learning in Research and Practice (Podcast)

Dyscastia (Podcast)
Episode 16: The Importance Of Daily Review with David Morkunas (Podcast)