1. Learning & Teaching A Level Mathematics Colleen Young

2. Learning & Teaching A Level Mathematics
Colleen Young

3. Colleen Young
Colleen Young
colleenyoung.wordpress.com

4. What has changed?
Summary of changes
Specifications
Mapping documents

5. Colleen Young
Colleen Young
Select Specifications & Support & also individual exam board pages.

15. In simple terms: think about the best order to teach topics
Because all the examinations are at the end of the course, no topic can be forgotten about at any stage of the course.
In simple terms: think about
the best order to teach topics
include opportunities for revisiting topics
allow time for revision
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16. Lesson Planning
Plan lessons for student learning

17. Colleen Young
Colleen Young
Select Lesson Planning & also individual exam board pages.

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29. Lesson Starters
Bell Work
Ideas for Starters and Plenaries

30. Select A Level Resources

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39. Making it Stick See Low Stakes Testing in the Mathematics Classroom
Help students to recall information.
See Low Stakes Testing in the Mathematics Classroom

40. Making it Stick
Low stakes tests are really good because there is not much pressure and at the end of them I can see how I’m doing and what I need to improve on for later formal tests.
Going through and marking tests / homework.

41. Good Teachers ..make it stick
A teacher who provides the student with the opportunity to see what they need to revise. Regular tests and quizzes do this.
Tests that don’t have further impact on levels / grades. Just there for you to know what you don’t know.

42. Low Stakes Testing in the Mathematics Classroom
Survey results pages 63-83
Source: Placeholder example

43. Talk to students about how we learn and how to study effectively
Cognitive Science
Talk to students about how we learn
and how to study effectively
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Learning Scientists Study Strategies

44. Lesson
Activities

45. Select A Level Resources

46. Lesson Activities
When thinking about new specifications remember Carol Dweck’s wise words:
“The outcomes are natural byproducts of engaging in good practice.”
…and of course read /do all those specifications and practice papers rather carefully.

47. Lesson Activities
“It strikes me that the most able students need to be in a state of regular bafflement, enjoying the fact that they are wrestling with new concepts, and having the confidence to know that they will resolve confusions with a bit (maybe quite a bit) of mental effort.”
Simon Singh
Simon Singh answering some questions on Mathematics Teaching
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48. Underground Mathematics
Underground Mathematics aims to “Enable all students to explore the connections that underpin mathematics”. 

62. We have thought of 13 circles
We have thought of 13 circles. 11 of them are drawn accurately on the above graph. Here
are the equations of 11 of the original 13 circles.

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66. Stem Centre
Hand-picked resources to cover key subject content in Pure, Mechanics and Statistics.

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79. Standards
Unit
“Our first aim in designing this resource is to make mathematics teaching more effective by challenging learners to become more active participants.”
Malcolm Swan

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86. Nrich Nrich offers challenging and engaging activities.
One of its aims is to develop mathematical thinking and problem-solving skills

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94. teachitmaths Worksheets, exercises, investigations and games.
Tried and tested resources created and edited by maths teachers

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102. Further Resources
Further sources of resources

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113. Use of Technology
The use of technology, in particular mathematical and statistical graphing tools and spreadsheets, must permeate the study of AS and A level mathematics

120. Open GeoGebra, here the desktop app is being used
Open GeoGebra, here the desktop app is being used. Select the spreadsheet view.
Note that you can toggle views to display or not.

121. Copy data from your spreadsheet application into the spreadsheet view on GeoGebra.
In this example column D is selected

122. Choose One Variable Analysis. Then select Analyse.

123. Having selected Analyze, we immediately see a Histogram of the data.
Right clicking on that window gives the option to copy the data to the Graphics View

124. Or we could choose a boxplot
Outlier Bob age 138!
A little clean up of the data needed perhaps!

125. Or, using the newer Maths Calculators interface; a good idea for consistency across all platforms…
Choose spreadsheet…

126. Choose spreadsheet…
Copy in that data and you have one histogram!

127. We could choose to have a 2nd plot

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129. Vocabulary & Notation
Make sure key vocabulary and notation is defined, understood and used by all

133. Vocabulary & Notation
Reference for Students
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134. Colleen Young