Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I...
-
Upload
violet-foster -
Category
Documents
-
view
228 -
download
0
Transcript of Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I...
![Page 1: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/1.jpg)
Tell me mathematics and I will forget;Show me mathematics and I will remember;
Involve me…and I will understand mathematics.
If I understand mathematics, I will be less likely to have maths anxiety.
And if I become a teacher of mathematics, I can thus begin a cycle that will produce
less maths-anxious students for generations to come.
W. V. Williams, 1988
![Page 2: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/2.jpg)
Maths Anxiety in Third Year Primary Student Teachers
Gillian Frankcom
![Page 3: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/3.jpg)
WHO is Maths Anxious?
• I am…..
• They were..... – 29 third years – 27 women, 2 men– In their final compulsory mathematics
education course (3 in total)
• They are..... – 9 teachers in their first two years of teaching
![Page 4: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/4.jpg)
What ‘Caused’ Maths Anxiety?
• Level 4/5 curriculum mathematics
• Mainly fractions, decimal, percentages
• Exhibiting – Reluctance to engage– Stressed behaviours– Tears!!
![Page 5: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/5.jpg)
Sample question
0.1 x 840 is the same as
• A 840 ÷ 1
• B 1 x 840
• C 1 x 8400
• D 840 ÷ 10
• E 0.10 x 84
![Page 6: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/6.jpg)
Sample Question
• Which letter in the number line above names a fraction where the numerator is nearly half the denominator?
0 1 2 3
A B C D E F G
![Page 7: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/7.jpg)
Maths Anxiety
• Maths Anxiety comprises factors that militate against the learning and understanding of mathematics, such as fear of failure, and physical reactions such as high tension and apprehension resulting in revulsion and sickness.
![Page 8: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/8.jpg)
Maths Anxiety
• Early 20th Century - Physiological changes
• In the 50’s - Scales and instruments
• By the 70’s - Test anxiety
• Burnes (1998) - 2 of USA Population
3
![Page 9: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/9.jpg)
Implications
• Low personal content knowledge
• Avoidance
• Low status
• 50% of primary-teacher applicants have no formal qualifications in mathematics
(Grootenboer, 2003)
![Page 10: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/10.jpg)
Outcomes?
High in Maths Anxiety = low in Maths Self-efficacy
25
45
65
85
105
125
10 15 20 25 30 35 40 45 50
Average MA Scores
Ave
rag
e S
E S
core
s
![Page 11: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/11.jpg)
What makes a difference?
MasteryVicarious Experiences
Social PersuasionAffective States
![Page 12: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/12.jpg)
What makes a difference?
Vicarious Experiences
![Page 13: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/13.jpg)
Mastery Experiences?
![Page 14: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/14.jpg)
Mastery Experiences?
10
15
20
25
30
35
40
45
50
5 7 9 11 13 15 17
Scores on Test 1
Sco
res
on M
A1
![Page 15: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/15.jpg)
Mastery Experiences?Success does not seem to equal lower maths anxiety
10
15
20
25
30
35
40
45
50
5 7 9 11 13 15 17
Scores on Test 1
Sco
res
on M
A1
![Page 16: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/16.jpg)
Mastery Experiences?
Low cognitive load activitiesRich mathematical activities
InvestigationsCooperative
ModellingPractical
![Page 17: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/17.jpg)
Ideal Student?• Low Maths Anxiety
• High Maths Self-efficacy
• Strong personal content knowledge
• Mathematics past year 11
• Positive experiences at school
• Succeeding (A’s) in current degree course
• Actively enjoys “doing” Mathematics
![Page 18: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/18.jpg)
Implications
• Levels of Maths Anxiety could represent a significant barrier to improving mathematics teaching and learning in the primary school….
as teachers teach as taught …..
![Page 19: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/19.jpg)
Next?
Big Question
• How do high levels of Maths Anxiety affect the quality of teaching of mathematics in the primary school?
![Page 20: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/20.jpg)
Now to know mathematics is one thing, and to be able to teach it – communicate it to those at a lower conceptual level – is quite another; and I believe that it is the latter which is most lacking at the moment. As a result, many people acquire at school a lifelong dislike, even fear, of mathematics.
Skemp (1971)
![Page 21: Tell me mathematics and I will forget; Show me mathematics and I will remember; Involve me…and I will understand mathematics. If I understand mathematics,](https://reader035.fdocuments.net/reader035/viewer/2022062408/56649e4c5503460f94b40efa/html5/thumbnails/21.jpg)