In this course we take a deep dive into the wonderful world of decimals. Using data from 200+ million answers on my Diagnostic Questions website we see what students do well at, where they struggle, and what we can do to help them.
The areas we cover are:
Place value and ordering
Working with 0.1, 0.01, 10, 100 etc
Addition and subtraction with decimals
Multiplication with decimals
Division with decimals
Related place value calculations
This workshop is ideal to enhance your subject knowledge, as well as providing a framework for planning sequences of lessons that can be applied to all topics in mathematics.
This course can be completed on your own, with a colleague, or as a department*.
It is suitable for secondary school teachers (teaching students age 11 to 16) and also primary teachers teaching Years 5 and 6 (9 to ll year olds).
For answers to the most frequently asked aspects of my online courses, please visit the FAQs section at the bottom of the homepage here.
*Please note: The prices of the course is per person. It is not permitted to buy a single log-in and then share it with colleagues, or show the videos to a number of people at a meeting or training event. Hopefully you agree that the courses represent good value for money, and I need to ensure I protect my livelihood. If you wish to discuss bulk purchase discounts or using my materials in another form, please drop me an email at mrbartonmaths@gmail.com. Thanks so much for your understanding.
Video introduction
Contents
Background
How can you access all the questions and data used in this course?
1. Where do the questions come from?
2. Where does the data come from?
3. How to get the data and explanations
4. A few thoughts about mistakes and misconceptions
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!
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
4. Number Lines
5. Decimals - Introductory Tasks
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
2. Using calculators
3. Equivalence of multiply and divide
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
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
2. Multiplication Tasks
3. Using calculators in multiplication
Decimals: Division - misconceptions
Where do students struggle with dividing decimals?
Q1
What students do well
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
3. Division tasks
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
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
Wrap-up
Bringing everything you have learned in this course together
1. A possible planning structure
IMAGE - A possible planning structure
2. Reflection
3. My online courses
Links to my other work
Here are some of the other things I do!
My books
My podcasts
My websites
Other stuff!
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.
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.
