Craig Barton's online courses/Marvellous Maths 2: Misconceptions, Methods and Mastery

  • £25

Marvellous Maths 2: Misconceptions, Methods and Mastery

Join me and Jo Morgan as we take a deep dive into 3 topics, looking at misconceptions, methods and resources for mastery

Course overview

How can we help our students master key mathematical ideas?

Join Craig Barton (@mrbartonmaths) and Jo Morgan (@mathsjem) as they take a deep dive into three areas of mathematics: decimals, coordinates and Pythagoras' Theorem.

Craig uses data and student explanations from 100+ million answers on Diagnostic Questions to find the most pertinent and surprising misconceptions students hold. Jo then uses her research and wealth of experience to share the methods, resources, activities and approaches that can help our students avoid these pitfalls and better understand the mathematical ideas.

This course contains 100+ videos, 100+ links to amazing, free activities and resources, as well as free content made exclusively for this course by our lovely sponsors, White Rose Maths and AQA.

The approach to lesson planning used in this course can be applied to the teaching of any topic. You can dip in and out of the course whenever you like, head straight to the sections most relevant to you, come back time and time again, and there is enough material here for weeks' worth of individual or departmental CPD.

Please note: the cost of the course is per person. Please see the bottom of the page for FAQs about suitability, discounts, payment options, and more.

Welcome video

A few words from me and Jo Morgan to let you know what Marvellous Maths 2 is all about!

Contents

Free resources from our sponsors

Our lovely sponsors, White Rose Maths and AQA, have provided some fantastic free resources made exclusively for this course
White Rose Maths resources
Preview
White Rose Maths Secondary Brochure
White Rose Maths website
White Rose Maths premium resources
AQA resources
Preview
AQA special offer
AQA Exampro Maths brochure
Exampro website
AQA customer support
AQA - preparing for 2021 website

Competition time! (closing date: 30th November 2020)

Here is your chance to win some free stuff courtesy of our sponsors
Marvellous Maths 2 Competitions!
White Rose Maths competition
AQA competition

Data and Diagnostic Questions

Where does all the data on student answers come from?
What is a Diagnostic Question?
DQ
The results are in!
Resource: ABCD template
Link: Eedi Help centre
How to get the data and explanations
Link: Diagnostic Questions collection page

Decimals: What do students meet and when?

When do our students first encounter the key concepts involving decimals?
A quiz!
Decimals: What do students meet and when?
The answers!
Link: National curriculum in England: mathematics programmes of study

Decimals: Place value and ordering - misconceptions

Where do students struggle with place value and ordering?
What students do well
Where students go wrong - introduction
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection

Decimals: Place value and ordering - methods and mastery

How can we help our students better understand place value and ordering?
1. Conceptual Thinking
2. Words Matter
3. Visualisation
Tool: Math blocks
Tool: Dienes Blocks
4. Number Lines
Tool: What is the location of the red point?
Resource: Zoomable number line
Resource: Decimal scales
5. Decimals - Introductory Tasks
Resource: Nearest to
Resource: Fraction and decimal equivalents
Resource: Place value with decimals
6. Decimals - Seeking Inspiration

Decimals: Working with 0.1, 0.01, 10, 100 etc - misconceptions

Where do students struggle with 0.1, 0.01, 10, 100 etc?
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection

Decimals: Working with 0.1, 0.01, 10, 100 etc - methods and mastery

How can we help our students with 0.1, 0.01, 10, 100 etc?
1. Powers of 10
Further reading: NRICH
Resource: Multiplication and division
2. Using calculators
Resource: Calculator activity
3. Equivalence of multiply and divide
Resource: Linking multiplication and division

Decimals: Addition and subtraction - misconceptions

Where do students struggle with adding and subtracting decimals?
1. What do students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection

Decimals: Addition and subtraction - methods and mastery

How can we help our students with adding and subtracting decimals?
Addition and Subtraction
Resource: Decimal addition
Resource: Addition and subtraction of decimals
Resource: Variations

Decimals: Multiplication - misconceptions

Where do students struggle with multiplying decimals?
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection

Decimals: Multiplication - methods and mastery

How can we help our students with multiplying decimals?
1. Multiplication Methods
Questions to try
Book: Mathematical methods
2. Multiplication Tasks
Resource: Easy to check
Resource: Decimal practice makes perfect
Resource: Decimal multiplication and division
3. Using calculators in multiplication
Resource: Electronic calculators

Decimals: Division - misconceptions

Where do students struggle with dividing decimals?
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Reflection

Decimals: Division - methods and mastery

How can we help our students with dividing decimals?
1. Division concepts
2. Exploring division with calculators
Resource: Calculator maths
3. Division tasks
Resource: Decimal practice makes perfect

Decimals: Related place value calculations - misconceptions

Where do students go wrong with related place value calculations?
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection

Decimals: Related place value calculations - methods and mastery

How can we help our students with related place value calculations?
Related calculations
Resource: Place value and other related calculations
Resource: Decimal calculations - right or wrong?

Decimals: Extra resources from our sponsors

Resources for this section of the course from White Rose and AQA
1. White Rose Maths - place value
2. White Rose Maths - arithmetic
AQA - FDP quiz.pdf

Coordinates: What do students meet and when?

What does our students' journeys through the world of coordinates look like?
A quiz!
Coordinates: What do students meet and when?
The answers
Link: National curriculum in England: mathematics programmes of study

Coordinates: Naming and plotting - misconceptions

Where do students struggle when it comes to naming and plotting coordinates? 
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Reflection

Coordinates: Naming and plotting - methods and mastery

How can we help our students when it comes to naming and plotting coordinates? 
1. Subject Knowledge
2. Naming and Plotting - Quadrant 1
Interactive Tool: Hit the Coordinate
Resource: Coordinate Message
Resource: Coordinate Sequences
3. Naming and Plotting - All Quadrants
Resource: Coordinate Grids Spot the Error
Resource: Coordinates Lesson from Boss Maths

Coordinates: Geometrical reasoning - misconceptions

Where do students struggle when it comes to geometrical reasoning with coordinates? 
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection

Coordinates: Geometrical reasoning - methods and mastery

How can we help our students when it comes to geometrical reasoning with coordinates? 
1. Quadrilaterals
2. Geometrical Reasoning
Resource: Quadrilaterals and Coordinates

Coordinates: Midpoint - misconceptions

Where do students struggle when it comes to calculating the midpoint of a pair of coordinates? 
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection

Coordinates: Midpoint - methods and mastery

How can we help our students when it comes to calculating the midpoint of a pair of coordinates? 
Midpoints
White Rose Maths - Coordinates

Coordinates: Coordinates on lines - misconceptions

Where do students struggle when it comes to calculating coordinates on straight lines?
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection

Coordinates: Coordinates on lines - methods and mastery

How can we help our students when it comes to calculating coordinates on straight lines?
Points on Lines
Resource: Coordinate Practice
Resource: 4 in a Line Extended

Coordinates: Extra resources from our sponsors

Resources for this section of the course from White Rose and AQA
White Rose Maths - Coordinates
AQA - Coordinates quiz

Pythagoras' Theorem: What do students meet and when?

What does a student's journey through Pythagoras look like?
What students meet and when

Pythagoras' Theorem: Labelling sides - misconceptions

Where do students struggle when it comes to labelling sides?
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection

Pythagoras' Theorem: Labelling sides - methods and mastery

How can we help our students when it comes to labelling sides?
1. Subject Knowledge
Video: Pythagoras – the Mystic Philosopher from Ancient Greece
Blog post: 10 Strange Facts About Pythagoras: Mathematician And Cult Leader
Video: How many ways are there to prove the Pythagorean theorem?
Interactive textbook: Pythagoras’ Theorem
2. Labelling sides
Resource: Labelling the hypotenuse

Pythagoras' Theorem: Finding the length of sides - misconceptions

Where do students struggle when it comes to finding the length of sides?
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Reflection

Pythagoras' Theorem: Finding the length of sides - methods and mastery

How can we help our students when it comes to finding the length of sides?
1. Length of hypotenuse
Resource: Pythagoras Fluency
Resource: Grid Triangles and Pythagoras
2. Pythagoras - Length of leg
Resource: Pythagoras Fluency
Resource: Mosaic Puzzle
3. Pythagoras - Triples
Resources: Don Steward’s Triples Tasks
Blog: Pythagorean Triples

Pythagoras' Theorem: Method selection - misconceptions

Where do students struggle when it comes to method selection with Pythagoras? 
What students do well
Q1
Q1 - data
Q2
Q2 - data
Reflection

Pythagoras' Theorem: Method selection - methods and mastery

How can we help our students with method selection involving Pythagoras? 
Method Selection
Website: SSDD Problems

Pythagoras' Theorem: Applying the theorem - misconceptions

Where do students struggle when it comes to applying Pythagoras' theorem? 
What students do well
Q1
Q1 - data
Q2
Q2 - data
Q3
Q3 - data
Q4
Q4 - data
Q5
Q5 - data
Reflection

Pythagoras' Theorem: Applying the theorem - methods and mastery

How can we help our students when it comes to applying Pythagoras' theorem?
Applying the theorem
Blog Post: Applied Pythagoras
Blog Post: New GCSE Pythagoras Questions
Resource: Pythagoras Pile Up
Resource: Pythagoras Problems

Pythagoras' Theorem: Extra resources from our sponsors

Resources for this section of the course from White Rose and AQA
White Rose Maths - Pythagoras' Theorem
AQA - Pythagoras quiz

Takeaways, next steps and course feedback

What have you learned from this course and what will you do next?
Takeaways and next steps
Course feedback
Course Certificate

Other things to check out from Craig

A final word from Craig about some of his other work
Craig's online courses
Craig's online courses
Craig's book: How I wish I'd taught maths
Craig's book: Reflect, Expect, Check, Explain
Mr Barton Maths website
Mr Barton Maths Podcast
Diagnostic Questions
Variation Theory
SSDD Problems
Maths Venns

Other things to check out from Jo

A final word from Craig about some of his other work
Resourceaholic site tour
Resourceaholic website
Jo's online CPD videos
Jo's book: A Compendium Of Mathematical Methods

FAQs

Is this course suitable for primary school teachers?

Craig and Jo are secondary school teachers, and make no claims to be exerts in the primary domain. However, students encounter two of the areas covered - decimals and coordinates - as early as Year 4, and Craig and Jo discuss students' early experiences, the misconceptions they hold and the approaches that will help them better understand these areas. In addition, the general approach to planning and teaching shared in this course should transfer across to the primary domain. So teachers of Years 4 to 6 should find the course useful and relevant.

Is this course suitable for non-UK teachers?

Absolutely! Whilst Craig and Jo make reference to the English National Curriculum when describing students' journeys with these ideas, the misconceptions, methods and resources shared are relevant no matter where teaching and learning takes place.

How long can I access the course content for?

As long as this platform exists! That is one of the key advantages of an online course - you can go back over the content again and again.

If, for whatever reason, the platform shuts down or we need to remove content, we will give you as much notice as possible (we will aim for at least 6 months) so you can complete the course. 

In addition, from time to time we may update the course content with new videos, resources and ideas. We will email you when this happens and you will have access to this as well for no extra cost.

Can I pay with an invoice instead of online?

The easiest way to pay is online. The service accepts all major cards as well as PayPal. Paying this way gives you immediate access to the course.

But if you need to pay via invoice, then no problem!  Just send an email to mrbartonmaths@gmail.com with details of:
1. The email addresses of the delegates taking the course
2. Your school name and address
3. Who to email to invoice to
Then I will send you an invoice and register your colleagues on the course.

Can I get a VAT receipt?

Of course!

If you have paid online, just login, click on the drop-down menu next to your picture on the top-right of the screen, select Billing and you can print off your VAT receipt(s) there.

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If you pay-offline (by emailing me as described above) then I will email you an invoice which will serve as your VAT receipt.

Can I buy one pass and then share it with my colleagues?

I am afraid not. The price of each course is per person.

Each person who pays for the course has their own log-in details, so the platform can keep track of their individual progress. This allows you to log back on using any device and pick up where you left off. 

Can I share the videos and resources from the course in a departmental meeting?

If everyone in your department has purchased a course pass, then absolutely! Indeed, this is a great way to make use of the course - discussing the misconceptions as a team, sharing your own experiences, and then enjoying trying out and reflecting on the methods, activities and resources shared.

However, if just one or two colleagues have purchased a pass, then you are not permitted to share the materials with others.

We have purposely keep the cost of this course as low to allow as many teachers as possible to access it, and as you will see below there are discounts available for departments. Please respect this if considering sharing the materials.  

Can I show the videos as part of a meeting or training event?

I am afraid not. The price of the course is per person.

If you wish to discuss using the materials as part of a meeting or training event, please email me at mrbartonmaths@gmail.com

Are there discounts available?

Absolutely!

As discussed above, we really want teachers to use these materials collaboratively.

If you want to purchase a bundle of passes for the courses, then we offer the following discount:

For every 5 course passes you buy, you get the next 1 free

To take advantage of this offer you will need to pay via invoice. Just drop me an email at: mrbartonmaths@gmail.com 

If you want to purchase 50+ plus course passes (perhaps you are an academy chain wanting to buy for several of you maths departments, or a PGCE tutor wanting your cohort of students to have access), or there are other circumstances that may qualify you for an extra discount, then let me know via email and we can work out a deal.