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MSL 6412 2011 Encouraging students to persist • Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery goals or performance goals.

MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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Page 1: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

Encouraging students to persist

• Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery goals or performance goals.

Page 2: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

Students with mastery goals:

• Learning and trying hard for its own sake• Such students

– tend to have a resilient response to failure;– remain focused on mastering skills and knowledge

even when challenged; – do not see failure as an indictment on themselves;

and – believe that effort leads to success.

Page 3: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

Students with performance goals:

• Wanting to do well to please others• Such students

– seek success but mainly on tasks with which they are familiar;

– avoid or give up quickly on challenging tasks; – derive their perception of ability from their

capacity to attract recognition; and – feel threats to self worth when effort does not

lead to recognition.

Page 4: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

Some results from my research

• Student persistence• A largish survey• Some interventions

Page 5: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

7.3.1 Student persistence

Page 6: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

• 52 year 8 students from various secondary schools in and around Bendigo

• Students completing a questionnaire and undertaking up to six hierarchical tasks in a one-on-one interview

• After completion of each task students were taken through a protocol of questions relating to that task

• There were 3 English tasks and six maths tasks.

Page 7: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

• There were six maths tasks.• All tasks related to the Measurement strand

of the CSF.• The tasks were hierarchical. • Each interview ceased after completion of

protocol for an incorrect answer, concluding questions and vignette.

About the Mathematical Tasks

Page 8: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Mathematics Example: What is the area of this shape?

MSL 6412 2011

Page 9: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

The fourth area task …

Page 10: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

The fifth area task …

Page 11: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

Nearly all students were willing to:

• persevere in some circumstances• struggle with problems • overcome difficulties that they were

experiencing

Page 12: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

• frequently expressed a desire to be challenged in their school work.

• often expressed the view that if they tried hard in class they would be criticised or even ostracised by their peers.

• felt that the absence of a challenge was one of the reasons for their lack of satisfaction at school.

• often sought external validation for their efforts.

Page 13: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

In a survey

Page 14: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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Factors influencing learningMeanMean

Learning at school is importantLearning at school is important 5.965.96

Often the main reason I work well Often the main reason I work well at school is that I want to please my at school is that I want to please my parentsparents

4.654.65

Often the main reason I work well Often the main reason I work well at school is that the schoolwork at school is that the schoolwork interests meinterests me

3.623.62

Page 15: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

Student ranking of influencing factors

• I want my parents to be proud of my achievement at school

• I want to understand the meaning of the things I am learning.

• I want to see the connection between what I am learning now and my future.

• I want to get the school work finished quickly.• I want my teachers to think I am doing well.• I want my friends to think that I am smart

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Influences on effort

MeanMean

Sometimes I don't try hard at Sometimes I don't try hard at schoolwork so I have an excuse if I schoolwork so I have an excuse if I don't do so welldon't do so well

2.632.63

People are either good at school People are either good at school work or not. They cannot get better work or not. They cannot get better by tryingby trying

2.112.11

If I have enough time, I can do well If I have enough time, I can do well in my schoolworkin my schoolwork

5.615.61

Page 17: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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… other students

MeanMean

In school I try my hardest no In school I try my hardest no matter what the other students matter what the other students saysay

4.984.98

In my class, … some students In my class, … some students don't try hard because they are don't try hard because they are afraid of what other people might afraid of what other people might think think

5.455.45

Page 18: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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Some patterns among students• Self (and parent) motivated (n=88)

– This group has the lowest scores on class influences, they are least performance orientated, strong parental influences, below mean on peer and teacher influence, strong capability, below mean interest

• Positively motivated but needing affirmation by significant others (n=78)– This group is most influenced by parents and teachers, they have both

the strongest performance and mastery orientations, they are only slightly influenced by peers,.

• Strongly peer influenced (n=98)– Strongest class peer influence, strong performance orientation, below

mean on classroom climate, parental influence and mastery orientation, just about mean on teacher influence

• Don’t care much (n=59)– Lowest by a long way on parent and class influence, lowest on

mastery and performance orientation and teacher influence, most positive classroom climate.

Page 19: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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An intervention

Page 20: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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Purpose of this intervention

• The hypothesis is that if a student becomes more aware of his/her individual responses in comparison with the group responses overall, and if they consider possible implication of their responses, this might allow more active decisions on the connections between their current effort, their learning and future opportunities.

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The procedure

• Survey completed in class• Presentation of results as class graphs• Clarify interpretation• Class discussion with key elements recorded• Transcription of tapes • Selection of extracts

Page 22: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

In my maths class, there are some student who don’t try hard because they are afraid of what other

students might think of them

Page 23: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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One of the groups connected effort and ability:

• “Because if you try hard in maths, people think you’re a nerd and then you get teased. Because if you’re smart usually no one likes you, as in they don’t not like you but they just call you names because you’re smart, and when you’re not smart they just…”

Page 24: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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“Wil Smith used to carry his books in a pizza box”

• Cool.• Awesome.• They’ll smell like pizza.

Page 25: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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Some comments offered starting points for some subsequent intervention

• “It’s good to be smart because then you know stuff, and if you’re dumb just so your friends like you then it’s really bad. Obviously they’re not your friends if they make you be dumb to be their friend.”

Page 26: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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Another one

• “…if you’re playing (sport) and you mess up or something and you have a kick and it falls short or it goes out of bounds on the full where it shouldn’t, if you have someone on your team that says, ‘You’ll get the next one,’ you’re more confident to keep playing, but if someone is like, ‘What are you doing?’ …”

Page 27: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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7.4 What are some relevant teacher actions?

Page 28: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

MSL 6412 2011

How could teachers help?• Yeah, because you need to feel safe and not like

they’re going to yell at you if you ask them a question …. If they’re nicer to you then you want to please them because you have respect for them, but if they’re mean to you, you think ‘oh well, they’re mean to me so I’m just going to be bad with them’.

• And the ones that try, that might encourage the ones that are self-conscious about being nerds to try much more…so they might get stuff.

Page 29: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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How teachers could help• There’s different people that have different individual needs,

so the teacher could go to one person, spend a bit of time with them and then go person to person, and even though when another person needs help they should still go and help but then go back to the person that they were helping before.

• I reckon the teachers try their hardest for us and…, but I think they’re doing pretty well and it’s probably not as easy as we think it is for them, but we’d probably enjoy the lesson a lot more if there were more fun and games and more rewards for our hard efforts. But there’s need for strict teachers as well.

Page 30: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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Dweck suggested that teachers (and parents) could actively model

desirable traits by:

• emphasising learning, challenge, effort, and choice of strategies;

• delighting in things that are hard;• indicating how achieving through effort feels good;• searching for new strategies; and • reporting on learning from failure.

Page 31: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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What does it mean to affirm?

• Affirm what we value– What did you say last week were your aspirations

for your students?– How would you affirm students when they

demonstrated those values?

Page 32: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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It is good that:…

• when you are stuck you try something different• you explain what you did clearly• you keep trying even when it is hard• you try to work things out for yourself• you try to help others• you learn from your mistakes• you plan out what you are trying to do• …

Page 33: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

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Strategies for meeting individual learning needs

• diagnosing students’ unique needs, interests and goals• helping students to define their personal goals and

relate them to learning goals• relating general learning goals to students in these

interests and goals• structuring learning goals and activities to foster

individual students success• using modeling to instruct students in the value and

benefits of specific accomplishments

Page 34: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

A challenging example

Page 35: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Year 8

Investigate the concept of irrational numbers, including π

Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies

Solve a range of problems involving rates and ratios, with and without digital technologies

MSL 6412 2011

Page 36: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Which card is better value?

Please explain your thinking.

(From Anne Roche and Doug Clarke)

MSL 6412 2011

Page 37: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

• What % of what can you work out in your head?

MSL 6412 2011

Page 38: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Add 1

357842916

MSL 6412 2011

Page 39: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Say 10% of

305070804020901060

MSL 6412 2011

Page 40: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Say 50% of

305070804020901060

MSL 6412 2011

Page 41: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Say 10% of

320450870820440230910100690

MSL 6412 2011

Page 42: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Say 20% of

60 80 40 100

20 70 80 90

MSL 6412 2011

Page 43: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

• % of = 200• What might be the numbers in the boxes?

MSL 6412 2011

Page 44: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

• After 2 games, your favourite team as a percentage of 120%. What might have been the scores in each of the games?

MSL 6412 2011

Page 45: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

• You bought something. You were given a discount of 10%. What did you buy, what did it cost and what was the amount of the discount?

MSL 6412 2011

Page 46: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

• When you bought something you received a discount worth $300. What did you buy, what did it cost and what was the % discount?

MSL 6412 2011

Page 47: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

• What is a % increase?• The population of my suburb has increased by

5%. What did it used to be, and what might it be now?

MSL 6412 2011

Page 48: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

• In December the amount on one of Adelaide’s dams increases by 5%. In January it then decreases by 5%. Is it more, the same or less than what it was on 1 Dec?

MSL 6412 2011

Page 49: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

What would persistence look like and what is its role?

• The price of a suitcase in a shop is increased by 5%. The price is then reduced by 5%, after which the price is $200.

• What was it to start with?

MSL 6412 2011

Page 50: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery
Page 51: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery
Page 52: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Some other tasks

• How might these encourage persistence?• Does persistence help?

Page 53: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Game of the year

• Using the digits from the birth year of either of your parents, use all four digits in that order and any operations to form expressions which equal as many of the numbers from 1 to 99 as possible.

• e.g., 19 + 78 = 97; 1 - 9 + 7 x 8 = 48

Page 54: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

This clock has been dropped on the floor and we don’t know which way round it should be. What time is the clock showing?

What Time Does this Clock Show?

Page 55: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

What would persistence look like and what is its role?

• After 2 games, your favourite team has a percentage of 120%. What might have been the scores in each of the games?

MSL 6412 2011

Page 56: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

What would persistence look like and what is its role?

• I can paint a room in 5 hours. My wife can paint a room in 10 hours. How long will it take if we work together?

MSL 6412 2011

Page 57: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

12 is half-way between two other numbers. What could they be?

173 is half-way between two numbers. What could they be?

UNDA 2010

Page 58: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

What would persistence look like and what is its role?

Design some paddocks in the shape of an L, that have an area of 1 hectare. What is the perimeter of your paddocks?

MSL 6412 2011

Page 59: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

(from Rich Learning Tasks in Number): Canadian book—has pictures

Which country has the best coinage system:

1, 5, 10, 252, 4, 8, 162, 3, 5, 10

UNDA 2010

Page 60: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

What would persistence look like and what is its role?

• The inside of a horse training track has an area of 1 hectare. What might be the dimensions?

MSL 6412 2011

Page 61: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery

Olympic medals

• If a country has won four medals, what could they be?

Page 62: MSL 6412 2011 Encouraging students to persist Ames (1992) and Dweck (2000) categorized students’ approaches in terms of whether they hold either mastery