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Dr Juliet O'Callaghan
1) I have a certain amount of maths intelligence and I can't really do much to change it.
2) Maths intelligence is something you can't change very much.
3) You can learn new things, but you can't really change your basic maths intelligence.
4) You can't really change how intelligent you are in maths.
“Don’t tell children they are smart. More than three decades of research shows that a focus on
effort – not on intelligence or ability – is the key to success in school and in life.”
Carol Dweck, PhD.
Carol Dweck proposes that different core beliefs about intelligence can set up different patterns of response to challenge and setbacks.
Fixed
Growth
Previous research has shown that even when pupils on both ends of the continuum show equal intellectual ability, their theories of intelligence shape their response to academic challenge.
Furthermore, a person’s theory of intelligence appears to be unrelated to the value they place on a particular skill set or subject. Rattan et al (2011) analysed undergraduates’ sense of belonging, enjoyment and usefulness of maths and revealed maths was equally valued by participants with different theories of maths intelligence.
According to Haimovitz and Corpus (2011) and Skipper and Douglas (2012) teachers who use praise which focuses on traits and abilities reinforce intelligence as fixed and unchanging (entity theory). This in turn leads to decreased motivation, engagement and effort.
The effects of praise on pupils’ effort and attainment is greater in subjects where pupils regularly experience difficulties and failures such as maths.
Do pupils in Year 4, 5, and 6 who are exposed to daily process praise show a higher growth mindset in maths when compared with a waitlist control?
Do pupils in Year 4, 5, and 6 who are exposed to daily process praise achieve a higher effort grade in maths when compared with a waitlist control?
For pupils in Year 4, 5 and 6 is there a positive relationship between theories of intelligence, as measured by maths mindset scale, and the value placed on maths, as measured by belonging and usefulness scales?
The researcher delivered training in two 1 hour sessions. The INSET design utilised methods found to be most effective in changing teachers’ praise behaviour:
A mixed analysis of variance was conducted to assess the impact of the process praise intervention on Mindset and Effort. The between subjects variable was group (experimental and control) and the within subject variable was time (pre and post intervention).
The relationship between mindset and value of maths was investigated using Pearson product-moment correlation coefficient.
There was no significant interaction between group and time on the mindset scale total score, Wilks’ Lambda = 1.0, F (1, 452) = .02, p = .89, partial eta squared = .00.
There was a significant interaction between group and time for the piechart, Wilks’ Lambda = .99, F (1, 451) = 4.1, p < .05, partial eta squared = .01 (small effect; Cohen, 1988).
Follow up tests were conducted to unpick the significant interaction. A repeated measures ANOVA revealed a significant change over time for the experimental group F (1, 214) = 4.19, p = .028, partial eta squared = .022 (small effect; Cohen, 1988). Change over time for the waitlist control group was non-significant F (1, 207) = .466, p = .496, partial eta squared = .002.
There was a significant interaction between group and time, Wilks’ Lambda = .94, F (1, 510), p< .001, partial eta squared = .06 (medium effect; Cohen, 1988).
Follow up tests were conducted to unpick the significant interaction. A repeated measures ANOVA revealed a significant change over time for the experimental group F (1, 272) = 18.74, p < .0005, partial eta squared = .064 (moderate effect; Cohen, 1988). There was also a significant change over time for the waitlist control group F (1, 238) = 14.48, p < .005, partial eta squared = .059 (small effect: Cohen, 1988).
These findings fit with previous research (conducted on undergraduates) and suggests that younger pupils’ implicit theories of maths intelligence are not related to their beliefs about the value of maths (as measured by usefulness and belonging).
These findings suggest that use of process praise in maths lessons does impact on effort and supports Weiner’s (1979) attribution based theory of achievement-motivation patterns such as perseverance or non-perseverance in the face of failure.
Based on previous research findings a small effect size was considered to be most likely (DeWitt, 2015) and the fact a medium effect was seen demonstrates real world effectiveness of using process praise in the classroom to increase pupils’ efforts in maths.
In terms of changes to maths mindset, only one of the three dependent variables showed an interaction effect in the direction predicted (pie-chart).
This could well mean that the use of process praise alone does not change pupils’ beliefs about intelligence in maths.
However, it could also be that process praise may work indirectly on strengthening the relationship between response (effort) and outcome (success in maths), which may have been extinguished by repeated failure.
In relation to real world effects, it appears changing how children are praised can lead to them making more effort in maths and this focus on praising effort may lead to a change in maths mindset from fixed to growth. However, further
replications with a Time 3 measure of at least 6 months are needed to confirm this.
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