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Making Mathematics Choices for the 6th Form Jim Ridgway [email protected]

Making Mathematics Choices for the 6th Form Jim Ridgway [email protected]

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Page 1: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

Making Mathematics Choices for the 6th Form

Jim Ridgway

[email protected]

Page 2: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Structure

• Outline of PREMA – an EU project

• UK data on choice and performance

• Conclusions

• Actions

• Introduction to the interviews– This school– The interview protocol– Web of influence

Page 3: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

PREMA - Promoting Equality in Maths Achievement

To Understand Women’s Under-representation In STEM

• Processes of student decision making

• Pedagogical factors

• Socio-cultural factors

• Impact of ICT

http://prema.iacm.forth.gr/main.php

Page 4: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Research Spine

• Interview policy makers

• Examine national data on performance

• Survey attitudes towards mathematics and subject choice in post-compulsory education– At school– At university

Page 5: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Research Spine (Cont.)

• Interview high attaining students in post-compulsory education about their choices regarding mathematics– At school– At university

• Interview mathematics teachers• Interview university mathematics lectures• Interview women in the early stages of their

careers, who either had or had not pursued careers in STEM

Page 6: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Students Achieving GCSE Grades A*- C (2006)

0

50

100

150

200

250

Mat

hem

atic

s

Eng

lish

Eng

lish

Lite

ratu

re

Dou

ble

Aw

ard

Sci

ence

Des

ign

& T

echn

olog

y

Fre

nch

His

tory

Art

and

Des

ign

Geo

grap

hy

Phy

sica

l Edu

catio

n

Rel

igio

us S

tudi

es

Info

rmat

ion

Tec

hnol

ogy

Subject

Th

ou

san

ds

Boys

Girls

Page 7: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

UK Course Choices

• A level exam choices

Page 8: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

A' Level Entries - 2006

0

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Mat

hem

atic

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Eng

lish

Gen

eral

Stu

dies

Psy

chol

ogy

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logi

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tory

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and

Des

ign

Che

mis

try

Bus

ines

sS

tudi

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Geo

grap

hy ICT

Subject

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ou

san

ds

Male

Female

Page 9: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

National Data 2004

0.00

0.50

1.00

1.50

2.00

2.50

3.00

0 0.5 1 1.5 2 2.5 3

G/B C+ Continuing

G/B

C+

Community Foundation Other Independent Voluntary Aided Voluntary Controlled

Page 10: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

National Data 2004Maths Taken Up Beyond GCSE

0%

10%

20%

30%

40%

50%

60%

70%

80%

A* A B C

GCSE Grade

% O

pti

ng

to

co

nti

nu

e

Girls Boys

Page 11: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Survey of Attitudes and Influences

1128 students

aged 17-18 years

8 schools

Page 12: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

-3 -2 -1 0 1 2 3

I enjoyed mathematics as a subject

I was good at mathematics

I was interested in mathematics

I enjoyed challenges – mathematics had lots ofinteresting questions

I am good at ICT

I thought advanced mathematics would make a lotof use of ICT

I thought I would need maths for my future career

My parents/guardians wanted me to do AS maths

My teachers wanted me to do AS maths

I thought my friends would be studying maths at ASLevel

My teachers gave me confidence to make my owndecisions about courses and career

My parents/guardian gave me confidence to makemy own decisions about courses and career

3 - Strongly Agree -3 Strongly Disagree

Male Female

`

Page 13: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

0 0.5 1 1.5 2 2.5 3

I enjoyed mathematics as a subject

I was good at mathematics

I was interested in mathematics

I enjoyed challenges – mathematics had lots ofinteresting questions

I am good at ICT

I thought advanced mathematics would make a lot ofuse of ICT

I thought I would need maths for my future career

My parents/guardians wanted me to do AS maths

My teachers wanted me to do AS maths

I thought my friends would be studying maths at ASLevel

My teachers gave me confidence to make my owndecisions about courses and career

My parents/guardian gave me confidence to make myown decisions about courses and career

0 - Not Important 3 - Very Important

Male Female

Page 14: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

2: I was good at GCSE mathematics

50%

40%

30%

20%

10%

0%

10%

20%

30%

40%

50%S

ton

gly

Ag

ree

Ag

ree

Dis

ag

ree

Str

on

gly

Dis

ag

ree

No

t Im

po

rta

nt

Qu

ite Im

po

rta

nt

Imp

ort

an

t

Ve

ry Im

po

rta

nt

Female

Male

Page 15: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

I enjoyed mathematics as a subject at GCSE

70%

50%

30%

10%

10%

30%

50%

70%S

tong

ly A

gree

Agr

ee

Dis

agre

e

Str

ongl

yD

isag

ree

Not

Im

port

ant

Qui

teIm

port

ant

Impo

rtan

t

Ver

y Im

port

ant

Female

Male

Page 16: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Agreement3: Strongly Agree : -3: Strongly Disagree

-3.00 -2.00 -1.00 0.00 1.00 2.00 3.00

I enjoyed mathematics as a subject at GCSE

I w as good at GCSE mathematics

I w as interested in mathematics at GCSE

I am good at ICT

I did w ell in GCSE mathematics examinations

I liked the ‘certainty’ of mathematics at GCSE, know ingw here you w ere, and w hen you had learned things

I disliked the ‘routineness’ of maths at GCSE – too boring

I liked getting better results than others in GCSE maths

I thought advanced mathematics w ould make a lot of useof ICT

I could show people how clever I w as by being good atmathematics at GCSE level

I enjoyed challenges – mathematics had lots of interestingquestions at GCSE level

I thought I w ould need maths for my future career

I w anted to do AS maths

My parents/guardians w anted me to do AS maths

My teachers w anted me to do AS maths

I thought my friends w ould be studying maths at AS Level

My teachers gave me confidence to make my ow ndecisions about courses and career

My parents/guardian gave me confidence to make my ow ndecisions about courses and career

Page 17: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Conclusions

• Important factors– Enjoyment– Interest– Past success– ‘pull factors’ – future career– Subject combinations

• Students claim to be ‘empowered’

• Girls have more choices AND…

Page 18: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Conclusions (cont.)

• Mathematics is not very interesting or enjoyable

• Some professional women were influenced by school ‘women into STEM’ programmes

Page 19: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Implications For Action

• Make mathematics interesting and enjoyable– More creative; relate contexts to student interests

• Pedagogy– Pay appropriate attention to girls and boys in class– Increase the variety of teaching methods– Reward effort, engagement and understanding– Build student confidence

Page 20: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Implications For Action (Cont.)

• Communication– Careers using mathematics– On the implications of different subject choices– Wider applications of mathematics

• Teacher Education– Provide information on girls and STEM– Provide tools for classroom observation– Provoke reflection on practice

Page 21: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Interviews

Page 22: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

• Xl

Page 23: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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The School

• Mixed comprehensive school• Popular village in SW England• Mainly (not exclusively) middle class• Mainly ethnically ‘white English’

• Excellent OFSTED report• Excellent GCSE results• High ‘value added’ score• Oxbridge entrants every year – high expectation of uni education for most

students• Broad curriculum - languages, art, sports, and drama, as well as

mathematics and science

Page 24: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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The School - cont

• A dynamic (female) head – ‘outstanding’ says OFSTED– E.g. knows most pupils by name– Lots of promotions to head teacher from senior staff

• Lots of pupil work on display around the school• Lots of newspaper cuttings showing school events

and school successes• Ethos - high attainment for all

Page 25: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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The Student sample

• School– A or A* at GCSE mathematics– Half doing maths, half not– Girls and boys

• Gerry

• Becca

Page 26: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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A: Open-ended exploration of trajectory

• How old were you when you decided whether or not you were good at mathematics?

• contributing factors?• Did you make active choices at AS/A2 or just go along with what was

expected?• Tell me something about why you chose the courses you are now taking.• What were the most important factors in deciding to/deciding not to take

an advanced course in mathematics?• Was taking/not taking an advanced course in mathematics an easy choice,

or did you have reservations?• Do you think that these factors are different for boys and girls?

Page 27: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Open Questions on Long term Goals

• Do you have a career plan in mind? – What is it?– Why?– What contributed to the decision?

• How would you feel about a career in a maths related area?– Good things?– Bad things?

• How do you see your life in 10 years time?

Page 28: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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School Experiences

• Classroom activities– What were typical activities in maths classrooms?

• Classroom Roles– If there were girls and boys in class, did they have different

roles? [describe]• Teacher Behaviour

– Get different treatment from teachers? [describe]• What was YOUR role?

• Curriculum content– The most interesting part of maths was…….. because?– The most boring part of maths was…….. because?

Page 29: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Women Mathematicians

• Do you think there have been women mathematicians in history? [names?]

• Do you think there are famous women mathematicians today? [names?]

• Why/why not?

• Did you learn anything about them in your maths lessons?

Page 30: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Teaching

• Some – lets say 3 things that successful maths teachers do

• 3 things that unsuccessful maths teachers do

• Were there differences between male and female maths teachers?

• Give examples

Page 31: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Successful Students

• 3 things that successful maths students do

• 3 things that unsuccessful maths students do

Page 32: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

Making Mathematics Choices for the 6th Form

Jim Ridgway

[email protected]

Page 33: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

Survey Attitudes And Things That Influence Choices Of Study

• Enjoyment• Past performance• Competence using computers• ‘Mathematical identities’• Long term plans• Personal influences – parents, teachers, friends• ‘Resilience factors’

Page 34: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Interviews I – With High Performers Qualified To Take

More Maths• Typical lessons, and uses of ICT

• Interest and enjoyment

• Girls’ and boys’ roles

• Socio-cultural questions

• Actions of successful and unsuccessful teachers

• Actions of successful and unsuccessful students

Page 35: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Interviews II – With High Performers Qualified To Take

More Maths• Development of mathematical identity

• Choices available; actually made; reasons

• Influences: parents, siblings, teachers, friends

• Long term plans

• What makes you good at maths and [X]?

• Why do you work hard at maths and [X]?

Page 36: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Interviews III – With High Performers Qualified To Take

More Maths• Analyses

– Socio-cultural factors– Pedagogical factors– Impact of the digital divide

• Understanding decision making– Motivation theories– Identity theories– Ego-defence theories– Gender theories

Page 37: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Influencing Women’s Under-representation In STEM

• Strategies to influence– Socio-cultural factors– Pedagogical factors– Impact of the digital divide

• Strategies to influence decision making– Motivation theories– Identity theories– Ego-defence theories– Gender theories

• Ambitions for PREMA: some sharing; maybe some strategic initiatives

Page 38: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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UK Policy IVActions in the UK?

• More good teachers

• None traditional subject combinations – with music, art etc.

• A more exciting curriculum

• More choice within mathematics

• Perhaps reform university teaching

• EU initiatives should set out to share effective practices where relevant and applicable in local cultural contexts

Page 39: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Interviews with 20 high attaining girls and boys about choices to take or not take a

maths course

Page 40: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Conclusions From Interviews I• Socio-cultural factors

– Surprising absence of stereotypes

• Pedagogical factors– Descriptions of weak gender effects– Strong emphasis on the quality of teacher

explanation– Strong emphasis on student effort and understanding

• Impact of the digital divide– ICT hardly used in mathematics; seen as irrelevant

Page 41: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Implications For Action• Curriculum reform

– towards more enjoyable and creative mathematics

• Pedagogy– reward effort, engagement and understanding

• Communication– Wider applications of mathematics– Careers using mathematics– On the implications of different subject choices

Page 42: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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National Initiatives

• Very big national differences– England views this as a priority; – In some other countries it was hard to get policy

makers interested

Page 43: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Pedagogical Factors

• Curriculum structures and materials

• Teacher perceptions of boys and girls

• Student perceptions of boys and girls

• Perceptions of good teaching

• Perceptions of a good student

• Socio-cultural factors

• Impact of ICT

Page 44: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Curriculum Structures and Materials

• Big National Differences– e.g Poland

• Gendered courses (cookery vs woodwork)

• Portrayal of men and women in textbooks

– e.g. Austria• Not so

Page 45: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Teacher Perceptions of Boys and Girls I

• Big national differences– (Poland) belief in inherent differences

• Girls are worse at logical thinking

• Should girls really go into STEM?

– Austria and England - none

Page 46: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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• Consensus that Girls…– are less confident– ask fewer questions– answer fewer questions– are less disruptive– work harder– Are better at detail– want to get good grades

• Big national differences in strength of beliefs

Teacher Perceptions of Boys and Girls II

Page 47: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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• Girls– Study more– Try to be good in all subjects– Are more systematic– Are less disruptive– Answer fewer questions

• Big national differences in strength of beliefs

Student Perceptions of Boys and Girls I

Page 48: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Perceptions of Good Teaching

• Generic– Good explanation– Good subject knowledge

• Little agreement on good activities– (group work, discussions etc.)

Page 49: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Perceptions of a Good Student

• Generic– Work hard– Learn for understanding

Page 50: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Socio-cultural Factors

•Very big national differences Poland <> England– Beliefs in essential differences– Political campaigns– Parent pressure or support for autonomy– Supportive or unsupportive employment legislation

Page 51: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Pedagogical Factors• Portrayal in texts• Gendered courses (cookery vs woodwork)• School behaviour

– Work hard, persist, engage, are systematic and neat, help friends

• Classroom behaviour– Disrupt, volunteer, ask questions, are diligent,

competitive• Teacher beliefs (Poland) in inherent differences• Teacher questioning

Page 52: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Understanding: Decision Making

• ‘Pull’ and rational decision making are common claims

• Big national differences in the perceived influences of parents, other students, cultural influences such as the acceptability of a ‘career woman’

Page 53: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Impact Of ICT

• Computer studies is ‘masculine’

• ICT not much used in mathematics

• ICT not much expected in mathematics

• ICT has no effect on students’ relationship with mathematics

Page 54: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Implications For Action

• Monitoring educational changes– STEM and the rest

• Engaging policy makers (e.g. Greece, France)

• Better employment legislation

• Revised curricula (school and university)– the rest, as well as STEM

• content and pedagogy

Page 55: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Implications For Action I

• Policy makers should address the flight from STEM

• Monitor educational changes– STEM and the rest

• Sexist curriculum materials and practices should be changed

Page 56: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

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Implications For Action IV

• Influence Socio-cultural factors

• Political awareness of the differences in attainment and career choices by men and women – and the financial implications

• Publicise distinguished women mathematicians

• Look for and remove stereotyped images in text books

Page 57: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

Making Mathematics Choices in the 6th Form

Jim Ridgway

[email protected]

Page 58: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

I wanted to do AS maths (Agreement)

-3

-2

-1

0

1

2

3

Male Female

Maths

Non_Maths

I wanted to do AS maths (Influence)

0

0.5

1

1.5

2

2.5

3

Male Female

Maths

Non_Maths4

Page 59: Making Mathematics Choices for the 6th Form Jim Ridgway jim.ridgway@durham.ac.uk

[email protected]

My teachers wanted me to do AS maths (Agreement)

-3

-2

-1

0

1

2

3

Male Female

Maths

Non_Maths

My teachers wanted me to do AS maths (Influence)

0

0.5

1

1.5

2

2.5

3

Male Female

Maths

Non_Maths