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Math Anxiety: Risk Factors,
Strategies, & Opportunities.
By: John Mumford
Lecturer (Business Computing)
Southern Institute of Technology
Overview
• NLT Conference Strands
• Background
• Introduction
• Investigation
• Results
• Application of Results in context
• Conclusion
• Questions?
National Tertiary Learning &
Teaching Conference 2013
2
NLT Conference Strands
• Purpose-creating a sense of purpose and relevance
• Effective teaching strategies
• Contextualised learning
• Engagement-engaging learners and meeting needs
• In-class learning
• Digital learning
National Tertiary Learning &
Teaching Conference 2013
3
Background
• Interests in mathematics especially its relationship
with literacy & numeracy. TEC Initiatives
(NCALNE) leading to Masters in Adult Literacy &
Numeracy (AUT).
• Teaching Business Computing, Statistics and other
Information Technology Courses at levels 3-7
• Work and educational settings laden with math
concepts and can be a common barrier to fuller
academic development of student’s potential
National Tertiary Learning &
Teaching Conference 2013
4
Introduction
• Large quantity of literature on Math Anxiety
• Wide selection of resources, support and initiatives
to help math learners at all levels and contexts
• Overseas and NZ initiatives on Literacy &
Numeracy. TEC Strategy implementation.
• However Math Anxiety is alive and well (Whyte and
Anthony, 2012).
National Tertiary Learning &
Teaching Conference 2013
5
Local Examples
• Statistics for Commerce students: demanding literacy,
numeracy requirements with some mathematical content
and anxiety associated with it.
• Pre-entry Nursing students working with Excel formulae
and drug calculations
• Remedial mathematics offered by colleagues to students
in trades, environmental management, and nursing
• IT students learning the binary number system
National Tertiary Learning &
Teaching Conference 2013
6
Investigation
• Gain a better understanding of this phenomenon
through the literature; reflection; and application.
– Define Math Anxiety (MA) and consider the formal &
informal contexts
– Classify and analyse potential MA risk factors
– Classify and analyse potential strategies to address MA
– Represent risk factors and strategies visually
– Conclusion(s)
National Tertiary Learning &
Teaching Conference 2013
7
Definition(s)
National Tertiary Learning &
Teaching Conference 2013
8
“a feeling of tension, apprehension, or
fear that interferes with math
performance” (Ashcraft, 2002)
“the panic, helplessness and anxiety
that some individuals experience
when required to solve a
mathematical problem”
(Benner, 2010)
Risk Factors
– Intrinsic: focused on intrapersonal, affective
aspects e.g. fear of numbers, performance, stress,
self-confidence, emotional responses, negative
attitude to mathematics
– Extrinsic: focused on interpersonal and
environmental aspects e.g. the teaching style,
methods of problem-solving, teacher’s MA, lack
of empathy, approach to errors (students and
teachers)
National Tertiary Learning &
Teaching Conference 2013
9
Strategies:
Intrinsic
– Learners’ responsibility to develop a
positive attitude
– Develop mathematical resilience,
seek help
– Collaborate with others, learn to
channel their emotions into
determined problem-solving
National Tertiary Learning &
Teaching Conference 2013
10
Strategies:
Extrinsic
– Group work, positive attitude modelled to learners,
empathy, informal methods of problem-solving, up
skilling teachers, managing teacher’s MA, use of
computers and applications e.g. Excel to support
manual workings, Kinaesthetic approaches e.g.
“Math Propulsion”
– Making explicit connections between informal and
formal knowledge
– Positive attitude to errors as learning opportunities
and expose alternative approaches / perspectives
National Tertiary Learning &
Teaching Conference 2013
11
Results
– MA is a highly complex and multi-dimensional
phenomenon
– Teacher mathematical content knowledge crucial
– Multiple problem-solving strategies repertoire
– The power of informal methods for mathematical
problem-solving shifting the locus of control
– One strategy could address multiple risk factors
National Tertiary Learning &
Teaching Conference 2013
12
Representation
National Tertiary Learning &
Teaching Conference 2013
13
Application of Results in Context: making explicit connections between
informal and formal . E.g. Confidence Interval for mean travel times.
[Broad similarities in concepts that students often have an informal
instinctive knowledge of.]
Informal
• Multiple journeys
• Accuracy of estimated time
• Number of journeys
• Best case (shortest time)
• Worst case (longest time)
• Typical weekly time
• Typical semester time (long
run – but unknown)
Formal
• Repeated samples
• Confidence level
• Sample size
• Lower confidence level
• Upper confidence level
• Sample mean travel time
• Population mean travel time
National Tertiary Learning &
Teaching Conference 2013
14
Reflection-Positive
Plenty of resources and strongly motivated educators recognise
MA and are keen to help. There is broad evidence that MA is
learned and hence has potential for ‘unlearning’.
– TEC’s foregrounding of Literacy and Numeracy makes
MA more visible
– MA is clearly a fascinating challenge that offers many
opportunities for educators professional development, and
continual reflection into the learning process
National Tertiary Learning &
Teaching Conference 2013
15
Reflection-Minus
– MA can involve very strong emotions in learners and
teachers
– The evidence in the literature and from personal
experience that MA is a pervasive challenge to students
and to some extent educators
– MA occurs at many academic levels and even ‘advanced’
students can suffer from the effects of MA when they
encounter numerical situations
– Limited PD opportunities for full qualification of existing
teachers
National Tertiary Learning &
Teaching Conference 2013
16
Reflection-Interesting
– More highly-qualified teachers have the strongest position
to teach from: however this must be complemented by a
keen sensitivity to the difficulties and anxiety that many
individuals experience on their mathematical journeys
– Informal methods of mathematical problem-solving need
to be valued and respected as part of the repertoire of
strategies learners bring to their study
– Collaboration, group work, kinaesthetic approaches, and
emphasis on hybrid multiple strategies are important and
need to be respected
National Tertiary Learning &
Teaching Conference 2013
17
Summary
– Math Anxiety is a real and persistent challenge(level and
sector-wide)
– Risk factors (visible and more subtle) exist and can be
classified as Intrinsic or Extrinsic
– Many strategies exist and the power of one strategy
addressing multiple risk factors
– Representation of Math Anxiety on continua
– Emotional component important (acknowledgement and
management)
– Students’ responsibility for their learning and the focus on
the teacher as the source of the problem needs redress
National Tertiary Learning &
Teaching Conference 2013
18
Opportunities
• Opportunities
– Continually review one’s teaching in the light of research
– Recognise and support staff in their PD and dealing with
their MA
– Keep and open mind to whatever helps students to learn
and overcome (or manage MA)
– Try to develop mathematical resilience in our students
(and selves)
National Tertiary Learning &
Teaching Conference 2013
19
Questions?
National Tertiary Learning &
Teaching Conference 2013
20

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3 john mumford math anxiety

  • 1. Math Anxiety: Risk Factors, Strategies, & Opportunities. By: John Mumford Lecturer (Business Computing) Southern Institute of Technology
  • 2. Overview • NLT Conference Strands • Background • Introduction • Investigation • Results • Application of Results in context • Conclusion • Questions? National Tertiary Learning & Teaching Conference 2013 2
  • 3. NLT Conference Strands • Purpose-creating a sense of purpose and relevance • Effective teaching strategies • Contextualised learning • Engagement-engaging learners and meeting needs • In-class learning • Digital learning National Tertiary Learning & Teaching Conference 2013 3
  • 4. Background • Interests in mathematics especially its relationship with literacy & numeracy. TEC Initiatives (NCALNE) leading to Masters in Adult Literacy & Numeracy (AUT). • Teaching Business Computing, Statistics and other Information Technology Courses at levels 3-7 • Work and educational settings laden with math concepts and can be a common barrier to fuller academic development of student’s potential National Tertiary Learning & Teaching Conference 2013 4
  • 5. Introduction • Large quantity of literature on Math Anxiety • Wide selection of resources, support and initiatives to help math learners at all levels and contexts • Overseas and NZ initiatives on Literacy & Numeracy. TEC Strategy implementation. • However Math Anxiety is alive and well (Whyte and Anthony, 2012). National Tertiary Learning & Teaching Conference 2013 5
  • 6. Local Examples • Statistics for Commerce students: demanding literacy, numeracy requirements with some mathematical content and anxiety associated with it. • Pre-entry Nursing students working with Excel formulae and drug calculations • Remedial mathematics offered by colleagues to students in trades, environmental management, and nursing • IT students learning the binary number system National Tertiary Learning & Teaching Conference 2013 6
  • 7. Investigation • Gain a better understanding of this phenomenon through the literature; reflection; and application. – Define Math Anxiety (MA) and consider the formal & informal contexts – Classify and analyse potential MA risk factors – Classify and analyse potential strategies to address MA – Represent risk factors and strategies visually – Conclusion(s) National Tertiary Learning & Teaching Conference 2013 7
  • 8. Definition(s) National Tertiary Learning & Teaching Conference 2013 8 “a feeling of tension, apprehension, or fear that interferes with math performance” (Ashcraft, 2002) “the panic, helplessness and anxiety that some individuals experience when required to solve a mathematical problem” (Benner, 2010)
  • 9. Risk Factors – Intrinsic: focused on intrapersonal, affective aspects e.g. fear of numbers, performance, stress, self-confidence, emotional responses, negative attitude to mathematics – Extrinsic: focused on interpersonal and environmental aspects e.g. the teaching style, methods of problem-solving, teacher’s MA, lack of empathy, approach to errors (students and teachers) National Tertiary Learning & Teaching Conference 2013 9
  • 10. Strategies: Intrinsic – Learners’ responsibility to develop a positive attitude – Develop mathematical resilience, seek help – Collaborate with others, learn to channel their emotions into determined problem-solving National Tertiary Learning & Teaching Conference 2013 10
  • 11. Strategies: Extrinsic – Group work, positive attitude modelled to learners, empathy, informal methods of problem-solving, up skilling teachers, managing teacher’s MA, use of computers and applications e.g. Excel to support manual workings, Kinaesthetic approaches e.g. “Math Propulsion” – Making explicit connections between informal and formal knowledge – Positive attitude to errors as learning opportunities and expose alternative approaches / perspectives National Tertiary Learning & Teaching Conference 2013 11
  • 12. Results – MA is a highly complex and multi-dimensional phenomenon – Teacher mathematical content knowledge crucial – Multiple problem-solving strategies repertoire – The power of informal methods for mathematical problem-solving shifting the locus of control – One strategy could address multiple risk factors National Tertiary Learning & Teaching Conference 2013 12
  • 13. Representation National Tertiary Learning & Teaching Conference 2013 13
  • 14. Application of Results in Context: making explicit connections between informal and formal . E.g. Confidence Interval for mean travel times. [Broad similarities in concepts that students often have an informal instinctive knowledge of.] Informal • Multiple journeys • Accuracy of estimated time • Number of journeys • Best case (shortest time) • Worst case (longest time) • Typical weekly time • Typical semester time (long run – but unknown) Formal • Repeated samples • Confidence level • Sample size • Lower confidence level • Upper confidence level • Sample mean travel time • Population mean travel time National Tertiary Learning & Teaching Conference 2013 14
  • 15. Reflection-Positive Plenty of resources and strongly motivated educators recognise MA and are keen to help. There is broad evidence that MA is learned and hence has potential for ‘unlearning’. – TEC’s foregrounding of Literacy and Numeracy makes MA more visible – MA is clearly a fascinating challenge that offers many opportunities for educators professional development, and continual reflection into the learning process National Tertiary Learning & Teaching Conference 2013 15
  • 16. Reflection-Minus – MA can involve very strong emotions in learners and teachers – The evidence in the literature and from personal experience that MA is a pervasive challenge to students and to some extent educators – MA occurs at many academic levels and even ‘advanced’ students can suffer from the effects of MA when they encounter numerical situations – Limited PD opportunities for full qualification of existing teachers National Tertiary Learning & Teaching Conference 2013 16
  • 17. Reflection-Interesting – More highly-qualified teachers have the strongest position to teach from: however this must be complemented by a keen sensitivity to the difficulties and anxiety that many individuals experience on their mathematical journeys – Informal methods of mathematical problem-solving need to be valued and respected as part of the repertoire of strategies learners bring to their study – Collaboration, group work, kinaesthetic approaches, and emphasis on hybrid multiple strategies are important and need to be respected National Tertiary Learning & Teaching Conference 2013 17
  • 18. Summary – Math Anxiety is a real and persistent challenge(level and sector-wide) – Risk factors (visible and more subtle) exist and can be classified as Intrinsic or Extrinsic – Many strategies exist and the power of one strategy addressing multiple risk factors – Representation of Math Anxiety on continua – Emotional component important (acknowledgement and management) – Students’ responsibility for their learning and the focus on the teacher as the source of the problem needs redress National Tertiary Learning & Teaching Conference 2013 18
  • 19. Opportunities • Opportunities – Continually review one’s teaching in the light of research – Recognise and support staff in their PD and dealing with their MA – Keep and open mind to whatever helps students to learn and overcome (or manage MA) – Try to develop mathematical resilience in our students (and selves) National Tertiary Learning & Teaching Conference 2013 19
  • 20. Questions? National Tertiary Learning & Teaching Conference 2013 20