Math and Gender

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Math and Gender

Luigi Guiso

Ferdinando Monte

Paola Sapienza

Luigi Zingales

Motivation

There are well-established gender differences in math and reading test performance. What is the cause?

Environment

Biology

Strongest argument for biology is the existence of some gender differences in cognitive abilities

Men better at

 aiming

 spatial ability

Men worse at

 verbal fluency and recall

These cognitive abilities linked to biological differences between gender.

If they can be linked to math and reading abilities  biology argument.

Recent revival

Debate traditionally intense: why so few women in top science departments? MIT:

 Only 8% are women in science (Biology, Physics,

Mathematics etc.)

 Only one out 38 professors in the Math department!

(Gigliola Staffilani)

Debate recently revived by Larry Summer, ex

Harvard President, who ventured to argue that from a pure scientific point of view one cannot exclude there is a biological component

Because of this he lost his job as Harvard President

Because of this his appointment as Obama’s lead economic advisor has been heavily criticized

Recall Fluency

Facts & actors

Numeracy

50 60 70 80 50

Men

60 age

70 80

Women

50 60 70 80

Larry Summers

Approach

 Cognitive differences have been found in all the populations (except the Inuit or Yupik )

 But environmental (cultural) differences across countries are huge

 Use a large sample of comparable data across countries with different attitudes toward women to determine how much of the difference in performance is environmental

PISA (Program for International

Student Assessment)

 276.000 students in 41 countries tested at age

15

 In 2003, 4 tests:

 math, problem solving, science, reading

 Lots of data on

 Intrinsic motivation (taste - driven)

 Extrinsic motivation (instrument driven)

 Stress levels

Tests are “culture free”

Math tests

Scores reflect ability to apply mathematics in solving real-life problems

Questions in math cover:

“space and shape” (geometry)

“change and relationship” (algebra)

“quantity” (arithmetic)

“uncertainty” (probability) in a range of difficulty that goes from the need of simple mathematical operations to complex thinking.

Math scores scaled to have mean of 500 and standard deviation of 100 in the OECD students’ population.

Gender Gap in Math

Densities Mathematics test scores

World level

4.00E-03

3.50E-03

3.00E-03

2.50E-03

2.00E-03

1.50E-03

1.00E-03

5.00E-04

0.00E+00

0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 850 score

Males

Females

Gender Gap in Reading

Densities Reading test scores

World level

4.50E-03

4.00E-03

3.50E-03

3.00E-03

2.50E-03

2.00E-03

1.50E-03

1.00E-03

5.00E-04

0.00E+00

0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 score

Males

Females

Focus

 Focus so far within countries

 At this level a gender gap in math (almost) in all countries

 But there are marked differences in the size of these gaps across countries.

Why?

 They have been overlooked

 Explaining them is our focus

Gender Gap in Math by Country

20

15

10

5

0

-5

-10

-15

-20

-25

-30

-35

ITALY

Measures of Women Emancipation

1)

2)

3)

4)

Gender gap index from the Global

Competitiveness Report (WEF, 2006):

World Value Survey : percentage of people that "disagree" with assertions like "When jobs are scarce, men should have more right to a job than women".

Participation to the labor force (UNESCO)

Female-to-male ratio of tertiary enrollment

(UNESCO)

Women emancipation index by

Country

Women Emancipation Index

SWEDEN

0.9

0.8

0.7

0.6

0.5

0.4

TURKEY

ITALY

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41

Women emancipation index

Country

CGI

Math Gender Gap and GGI

ISL

TUR

THA

IDN

KOR

TUN

MEX

FRA

HUN

POL

RUS

URY

CZE

LUX

SVK

PRT USA

AUTBEL

CAN

CHE

AUS

NLD

LVA

GBR

JPN

ITA

GRC

IRL

ESP

NZL

BRA

.6

.65

.7

Women emancipaiton (GGI)

.75

gender difference in math Fitted values

.8

NOR

SWE

FIN

Math Gender Gap and Women

Participation

TUN

TUR

30

IDN

ITA

MEX

HUN

LUX

GRC

HKG

NLD

LVA

YUG

AUT

IRL

CZE

SVK

PRT FIN

SWE

USA

NZL

CHE

JPN

KOR

BRA

NOR

THA

40 50 female economic activity rate gender difference in math

60

Fitted values

70

ISL

It is not just economic development

 We run the regression at the individual level

 Insert country dummies (that control for all the possible institutional differences)

 Insert the interaction between gender and GGI

 The interaction is positive and statistically significant => effect robust to other institutional differences

Effect economic sizeable

Raising Turkey women emancipation to the level prevailing in Sweden would close the math gender gap!

Interestingly, increased women emancipation not only improves the math gap but also strengthens women advantage in reading

Women’s performance improves across the board

 Men performance is no worse

What is unaffected is the within gender relative performance:

 Women do relatively better in reading than in math and men vice versa, independently of society’s women emancipation

How does women emancipation affect scores ?

1) Economic channel : Higher payoff -> higher investment

 more hours in homework and classes more effort in each class

2) Psychological channel ->

 More self confidence

 Less anxiety

How does women emancipation affect scores ?

3) Educational channel

 Teaching style

 Discipline

 Different approach to subjects

4) Sociological channel

 Role model

 Peer pressure

1) Economic channel

1)

Does women emancipation increase:

Hours spent by women in math courses? NO

2) Hours spent by women in math homework? NO

3) Effort put by women in studying math

(measured as the marginal effect of an extra hour of class)? NO

2) Psychological channel

 Does women emancipation increase

 Women intrinsic motivation?

 Women extrinsic motivation?

 Women self-confidence?

 Or decrease

 Women level of anxiety?

Variables

 Self assessments (To what extent do you agree with a bunch of statements) of

 Intrinsic motivation

 Extrinsic motivation

 Self confidence 1 (self concept)

 Self confidence 2 (self efficacy)

 Anxiety

Variables definitions:

Intrinsic motivation:

1.

2.

3.

4.

I enjoy reading about mathematics. (+)

I look forward to my mathematics lessons. (+)

I do mathematics because I enjoy it. (+)

I am interested in the things I learn in mathematics. (+)

Extrinsic motivation:

1.

2.

3.

4.

Making an effort in mathematics is worth it because it will help me in the work that I want to do later on. (+)

Learning mathematics is worthwhile for me because it will improve my career <prospects, chances>. (+)

Mathematics is an important subject for me because I need it for what I want to study later on. (+)

I will learn many things in mathematics that will help me get a job. (+)

Variable definitions:

• Self efficacy:

• How confident do you feel about having to do the following calculations? […]

 Self-concept

 I am just not good at mathematics.

I get good <marks> in mathematics. (+)

 I learn mathematics quickly. (+)

 I have always believed that mathematics is one of my best subjects. (+)

 In my mathematics class, I understand even the most difficult work. (+)

Variable definitions:

 Anxiety

 I often worry that it will be difficult for me in mathematics classes. (+)

 I get very tense when I have to do mathematics homework. (+)

 I get very nervous doing mathematics problems. (+)

 I feel helpless when doing a mathematics problem.

(+)

 I worry that I will get poor <marks> in mathematics.

(+)

Female-Male Gap

Variable Female-Male Gap

Intrinsic motivation -0.21***

Extrinsic motivation

Self-concept

-0.28***

-0.31***

Self-efficacy

Anxiety

-0.35***

0.26***

Results

 Motivation and anxiety matter

 But no evidence that women emancipation works through an increase in intrinsic or extrinsic motivation, an increase in self confidence, or a reduction in anxiety

 In fact, where women are more emancipated they have

 lower relative self concept in math

 higher math anxiety

3) Educational channel

 Discipline

 Correlation between women emancipation and discipline? No correlation

 Different approaches to subjects (more emphasis in math)

 Correlation between women emancipation and importance of math? No correlation

 Differences in teaching style

 Foster different learning environments? No correlation

4) Sociological channel

 We compute the average math score of the other boys and the other girls in the same school.

 We run a micro level regression of math scores on these variables (level and interacted with gender) for each country

 Estimate reflects the importance in that country of the role model (or peer effect)

Pure differential peer effect and GGI

TUR

KOR

URY

ITA

JPN

BRA

THA

RUS

CZE

POL

BEL

CHE

CAN

ESP

NLD

GBR

USA

DEU

PRT

LVA

GRC

HUN

NZL

DNK

ISL

NOR

FIN

SWE

.6

IRL

.65

.7

Gender Gap Index 2006

Pure differential peer effect

.75

Fitted values

.8

Results

 Pure differential peer effect less important in countries with higher GGI

 Consistent with the idea that role models are different in more emancipated countries

 => in countries with more women emancipation, women performance in math less (positively) affected by the performance of other girls and less (negatively) affected by that of other boys

Looking forward

 Very recently Steven Levitt has looked at this issue again. He finds that

 Using US panel data, a gender gap emerges early at school=> kids perform initially equal but a gap emerges as they grow older

 Confirms our findings in a different dataset when he uses the same countries

 But correlation with women emancipation disappears when Muslin countries are added!

Why?

Looking forward

 In Muslin countries male and female go to same-sex schools

 girls do not lag boys in countries with same-sex schooling, even if in the countries where women are much less emancipated

 Not exposing them to men seems to be enough to avoid the effect of culture on gender gap in math

Conclusions

 We identify a strong cultural factor in women test performance

 Where women are treated more equally, they exhibit a stronger absolute advantage in reading and a weaker absolute disadvantage in math.

 This positive effect does not work through:

 Standard economic incentives

Psychological effects

Different educational styles

 Most plausible channel seems a role model effect

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