School gender discrimination

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Denis_havlik Denis Havlik (Author)

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discrimination 

Tagged by Denis Havlik over 10 years ago

school system 

Tagged by Denis Havlik over 10 years ago

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WHAT IS IT?

This model demonstrates that discrimination by teachers can result in better school notes for girls, while at the same time assuring that boys achieve higher scores at state exams.

It also takes into account the "family suport", and thus can also show that children from "suportive" families will achieve better results than those which are "neutral" or "discouraging"

MOTIVATION

In Austria, the school system sorts the children after only four years. In these four years, they are tutored by a single, mostly female, teacher and the sorting criterion are the school notes. There is no central exam at the end of the four years elementary school and to the best of my knowledge there are no mechanisms for assessing the quality of teachers' work and sanctioning the discrimination.

Furthermore, the observed situation is:

1) Large portion (TODO: add citation) of the children receives additional paid-for tutoring. 2) Children from socially weaker families have far lower chance of an academic career in Austria than in other OECD countries (TODO: add citation). 3) Boys score much better than girls on non-partial exams such as PISA

The motivation behind this model was to show that the observed situation in Austria can be replicated in a simple model assumes that teachers discriminate against "defiant" kids and that the kids from the better-off families can compensate against the discrimination because they receive additional support from their families.

Assumptions

This model is based on real-world observations that the boys are discriminated by prevalently female and order-loving teachers because of their tendency to be less system-conform than the girls.

For more information, see e.g. http://ideas.time.com/2013/02/06/do-teachers-really-discriminate-against-boys/

Other model assumptions are the following:

1) There is no gender difference in learning aptitudes (modelled by IQ parameter) 2) There is also no gender difference between reactions to discrimination, but some kids (from "supportive" environment) react by learning more, e.g. because they are helped by parents/tutors. Likewise, some kids react by learning even less than they would othervise because they live in "discouraging" environment, e.g. because their parents are less educated, can't afford the tutoring fees and don't believe that the education is very important. 3) Teachers love order and therefore discriminate against defiant kids and positively discriminate the docile ones. 4) There is no correlation between defiant/docile behavior and supportive/discouraging environment. 5) Supportivesupportive/discouraging environment plays a role for all kids with below-average school success. 6) In addition to "family support", the discriminated children also "learn more" on their own and thus at least partially compensate the discrimination. 7) The children with higher IQ can compensate somewhat better than those with lower IQ (IQ is a synonymous for learning aptitude in this model)

Model predictions

If the model is run with "balanced" parameters, the net results are:

1) Chance of girls getting to secondary-level school are somewhat higher than those of the boys. Same for the kids from supportive families. 2) The docile kids from supportive families can make it to a secondary level school in spite of being less intelligent. 3) Consequently, the small portion of the defiant children which makes it to the secondary school is extremly intelligent and even more knowledgable, whereas the groups of "girls" and "from supportive families" are on average much less intelligent. 4) Score of boys at non-discriminatory tests are better than those of the girls.

Recommended balanced settings are:

  • significant portion of boys (30-35%) are defiant but only few girls (5%); the other way around for docile;
  • discrimination (15-20%) is somewhat higher than support- and self-support modifier (10-15%).

HOW IT WORKS

The model assumption is that both the girls and the boys exhibit the same school aptitude, but differ in percentage of "defiant" and "docile" individuals.

The teachers are order-loving and therefore tendentially assign better then deserved notes to "docile" pupils, and lower than deserved notes to "defiant" ones. Pupils who fit in neither of the categories receive just grades.

Children from "supportive" families will receive support from their families if their scores are below-average, independently of the reason for lower score. Those from "discouraging" families will receive further penalty.

Finally, the defiant pupils can also learn more and thus achieve somewhat higher scores and knowledge than they would otherwise.

The school system has two levels. Admission to the secondary school is selective according to school notes. Thus, the low-performers in the primary school are eliminated from the secondary level school.

At the end of the secondary level, the pupils absolve a state exam which measures the "knowledge" without the teachers’ discriminatory bias. Without bias, the knowledge would be equal to IQ, but the kids from supportive families and those which are discriminated against by teachers will receive a family-support and self-support bonus.

HOW TO USE IT

1) Set up the model by choosing the values on various sliders at the left-hand side of the GUI 2) Press "setup" 3) Press "Run" 4) Analyze the results

THINGS TO TRY

What happens if the discrimination is strong and self-support and family-support weak?

How does the situation change if the self-support or the family support are very strong? What is the net difference between effects of family- and self- support?

Which parameters give the best match for observed situation in country X? Do these settings they make sense, concerning the state and organization of the countries' educational system? (If not - why?)

EXTENDING THE MODEL

MINT vs. social subjects

This model could be easily extended to incorporate the difference between MINT subjects, where discrimination is more difficult and the social subjects where the discrimination is much easier becasue the grading is inherently more subjective.

(_Grading of a language essay is inherently more subjective than grading of a math exam. The difference may be less pronounced in other cases, but it's always easier to add or subtract the points based on the "i (don't) like the way this answer is written" in non-exact subjects. Unless the exams are strictly multiple-choice, which is not the case in Austria.)

The anticipated prediction of such model is that boys tendentially score better in MINT subjects and lower in less exact ones than girls. Consequently more boys will attend the mint-oriented higher schools, while a majority of the girls ends up in the social studies. This is also in-line with observed behavior, which is quite surprising since the model does not come with a-priory assumption that boys are more interested in MINT than girls or that their families have different expectations!

Luck, time, family expectations...

The model is almost fully deterministic. In real life, the "luck" often plays a role. Adding "luck" factor to the state exams may be a good idea, because these exams are one-off event and simply having a "bad day" could influence the results.

Adding stochastics to school notes would be more difficult - in order to do this, the model would have to introduce a series of tests in each of the schools and then calculate the averages. At a same time, such model would be more realistic in a sense that the reactions of the pupils and their parents to bad notes and teachers discrimination could be established gradually, like in a real life.

NETLOGO FEATURES

In this model, ticks are used only to assure the plots are updated. It also demonstrates the use of histograms and gauss random distribution (for IQ).

RELATED MODELS

TODO

HOW TO CITE

If you mention this model in a publication, please include these citations for the model itself and for the NetLogo software:

COPYRIGHT AND LICENSE

Copyright 2015 Denis Havlik

CC BY-NC-SA 3.0

This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/3.0/ or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California 94305, USA.

To inquire about commercial licenses, please contact Denis Havlik at denis@havlik.org.

CREDITS AND REFERENCES

This model is indirect consequence of the voluntary engagement of my wife and to a lesser degree my own voluntary engagement in the Wiener Lerntafel (http://www.lerntafel.at/home.html). This voluntary organization helps socially disadvantaged children to achieve better school results by providing free tutoring. My experience with these children has convinced me that the Austrian school system is highly unjust and needs to be repaired.
My interest in the “gender discrimination” aspect is a consequence of the experiences with the discrepancies between knowledge and school notes of my own children.

Comments and Questions

Improved model version available

I noticed a couple of bugs and also decided to introduce the explicit "self-support" and "family-support" parameters in the model. In addition, I've improved the interface: 1) the defiant children are now shown as "wolves" and the docile ones as "sheep" 2) It's possible to visualize the initial learning aptitude (IQ) as a label. 3) the net-results for girls/boys/defiant and children from supportive families are explicitly listed now.

Posted over 10 years ago

Click to Run Model

globals [primary-results secondary-results state-exams ]

breed [girls girl]
breed [boys boy]

turtles-own [ IQ knowledge primary-note secondary-note discrimination family-support own-compensation ] 

;;;;;;;;;;;
;  Setup  ;
;;;;;;;;;;;

to setup
  clear-all
  setup-class
  reset-ticks
end 

to setup-class
  let counter 0
  set-default-shape turtles "person"
    create-turtles 900 [
    set counter counter + 1
    let x floor (counter / 30)
    let y counter mod 30
    setxy (2 * x + 1) (2 * y + 1) 
    set size 2    
  ]
  ask turtles [
    ifelse random 2 > 0 [ 
      set breed boys 
      set color cyan
      set discrimination character-lottery "boy"
    ] 
    [ 
      set breed girls
      set color pink
      set discrimination character-lottery "girl"
    ]
    ; IQ is "inherent learning capacity" in this model.
    set IQ IQ-lottery
    if Show-IQ? [set label IQ]

    ; own ability to react to teachers' injustice
    set own-compensation reaction-lottery
    
    ; children born into supportive families are better off...
    set family-support family-lottery
  ]
end 

; IQ lottery at birth: gauss distribution of IQ around 100 with sigma = 15
; http://www.quora.com/What-does-the-distribution-of-IQ-scores-look-like

to-report IQ-lottery 
  report floor random-normal 100 15
end 

; Behaviour lottery at birth: will I be docile or defiant?
; remaining kids are neutral (not affected by discrimination.

to-report character-lottery [gender] 

  let lottery random 100
  let Defiant Defiant-boys
  let Docile Docile-boys
  if (gender = "girl") [
    set Defiant Defiant-girls
    set Docile Docile-girls
  ]
  if lottery < Defiant [ 
    set shape "wolf" 
    report Defiant-discrimination ]
  if (100 - lottery) < Docile [ 
    set shape "sheep" 
    report -1 * Defiant-discrimination ]
  report 0
end 


; Family lottery at birth: will I end up in a supportive or unsupportive family?
; Remaining kids are in neutral families

to-report family-lottery 
  let lottery random 100
  if lottery < Supportive [report Support-modifier]
  if (100 - lottery) < Discouraging [report -1 *  Support-modifier]
  report 0
end 

; Own reselience to injustice.
; It's propontial to Self-support-modifier, but modified by IQ because  
; the intelligent pupils have higher learning potential.
; TODO: the IQ modifier is probably too weak now.
; Note: we don't model the "I'm positively discriminated and therefore lazy" here.

to-report reaction-lottery 
   if discrimination > 0 [ report IQ / 100 * Self_support-modifier ]
   report 0
end 

;;;;;;;;;;;;;;;;;;;;:
; Support functions : 
;;;;;;;;;;;;;;;;;;;;:

; calcualte support by family
; all children with below-average score will receive support (positive or negative or zero) by family
; the value of (potential) family-support has already been determined at birth in family-lottery
; family support is more sucessful for kids with higher IQ
; both the knowledge and the final school notes are modified by the support modifier

to-report support-value [avg note]
  report ifelse-value (note < avg) [family-support * IQ / 100] [0] 
end 

; calculate own reaction to injustice. 
; the "compensation" equals change in knowledge and school note.

to-report  reaction-value
  if (discrimination = 0) [ report 0 ]
  ; remember - own-compensation depends on Self_support-modifier, see reaction lotery!
  report ifelse-value (discrimination > 0) [1] [-1] * own-compensation
end 


;;;;;;;;
; RUN  ;
;;;;;;;;

to go
  primary-notes
  if Slow-run? [wait 1]
  tick
  admission-secondary
  if Slow-run? [wait 1]
  tick
  secondary-notes
  if Slow-run? [wait 1]
  tick
  state-exam
  tick
;  graduate
;  tick
end 

to primary-notes
  ask turtles [
    set primary-note IQ - discrimination 
  ]
  let avg mean [primary-note] of turtles
  ask turtles [
    set primary-note primary-note + support-value avg primary-note + reaction-value
  ]
end 

to admission-secondary
  ask min-n-of ((100 - admission-rate) * count turtles / 100 )  turtles [primary-note] [
    set color black
    ;print (word "rejected (" who "): IQ=" IQ ", gender = " breed)
  ] 
end 

to secondary-notes
  ask turtles with [color != black ][
    set secondary-note IQ - discrimination 
  ]
  let avg mean [secondary-note] of turtles
  ask turtles with [color != black ] [
    set secondary-note secondary-note + reaction-value + support-value avg secondary-note
  ]
end 

to state-exam
  ask turtles with [color != black ] [
    ; At the end of the day, the the knowledge differs by value of the discrimination from the secondary note
    ; however, the knowledge has already been modified due to discrimination!
    set knowledge secondary-note + discrimination
  ]
end 

to graduate
  ask max-n-of ((admission-rate) / 100 * count turtles with [color != black]) turtles [knowledge] [
    ;set shape "graduated"
    set color ifelse-value (breed = girls) [red] [blue]
    set size 4
    ;print (word "graduated (" who "): IQ=" IQ ", gender = " breed)
  ] 
end 

There are 3 versions of this model.

Uploaded by When Description Download
Denis Havlik over 10 years ago Differentiation between family-support and self-support; fixing a couple of bugs. Download this version
Denis Havlik over 10 years ago Fixed the citation link Download this version
Denis Havlik over 10 years ago Initial upload Download this version

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