Definition of Math Anxiety “Tobias and Weissbrod 1980 defined math anxiety as the panic, helplessness, paralysis, and mental disorganization that arises among some people when they are r
Trang 1National Council of Teachers of
Mathematics
Orlando, Florida
Math World:
New Standards for the New Millennium
National Council of Teachers of
Trang 2State supported liberal arts institution Clarksville, Tennessee
Approximate enrollment of 6500
students
Approximately 50% of the student
body is greater than 24 years of age.
Trang 3Definition of Math Anxiety
“Tobias and Weissbrod (1980) defined math anxiety as the panic, helplessness, paralysis, and mental disorganization that arises among some people when they are required to solve a mathematical problem.”
Fiore, 1999
Trang 4Definition of Math Anxiety
Robinson and Simone (1976) defined math anxiety as “feelings of tension and
anxiety that interfere with the manipulation of numbers and the solving of problems in a wide variety or ordinary life and academic situations.”
Trang 5Definition of Math Anxiety
Math anxiety is a learned emotional response to one or more of the following:
1 Listening to a lecture
2 Participating in a math class
3 Working through problems
4 Discussing mathematics
http://www.lemoyne.edu/academic
_affairs_support_center/mathanx.htm
Trang 6Physical Symptoms of Math Anxiety
queasy stomach, butterflies
clammy hands and feet
increased or irregular heartbeat
muscle tension, clenched fists
tight shoulders
Trang 7Physical Symptoms of Math Anxiety
feeling faint, shortness of breath headache
shakiness dry mouth cold sweat, excessive perspiration
Trang 8Psychological Symptoms of Math Anxiety
negative self-talk panic or fear worry and apprehension desire to flee the situation or avoid it altogether
a feeling of helplessness or inability to cope
Trang 9Psychological Symptoms of Math Anxiety
mental disorganization, incoherent thinking feelings of failure or worthlessness
extreme tension and nervousness inability to recall material studied
Trang 10Math Anxiety can be
Trang 11Math Anxiety can be Related to
teaching techniques which emphasize:
time limits
the right answer
speed in getting the answer
competition among students
working in isolation
memorization rather than understanding
Trang 12Math Anxiety can be Related to
student attitudes:
dropped stitch concept
distrust of intuition or ability
negative self-talk
giving up before really beginning
depression and feelings of failure
expectations of divine intervention
Trang 13Causes of Math Anxiety
“Evidence suggests that math anxiety results more from the way the subject is presented than from the subject itself.” Greenwood
Trang 14Causes of Math Anxiety
Few math classes are structured in such a way as to relieve anxiety There will always be time limits, right answers, and competition Reducing math anxiety will not make students ‘smarter’ in math However, it could allow a students to reach their full potential
Trang 15Suggestions for Reducing Math
Anxiety
“Many people label mathematics as hard, when it would be more correct to say that learning mathematics is hard work.” Mitchell & Collins
Trang 16Suggestions for Reducing Math Anxiety
Students are responsible for their feelings, attitudes, level of classroom and test
preparation The most effective thing a
student can do to reduce their math anxiety
is to
BE PREPARED.
Trang 17Suggestions for Reducing Math Anxiety
Often, students with math anxiety need to be taught how to ‘be prepared.’
A teacher of mathematics not only is responsible for the instruction of
mathematical concepts, but is also responsible for helping students ‘learn to learn mathematics.’
Trang 18Suggestions for Reducing Math Anxiety
Teachers can offer the following suggestions to students:
◊ Realize you are not alone Many people suffer from feelings of anxiety ◊ Realize that there can be psychological as well as physiological reactions
◊ Explore relaxation techniques to control the physiological reactions of math anxiety
Trang 19Suggestions for Reducing Math Anxiety
◊ Do not rationalize your performance by thinking, “ “I was never good at math.”
What you were is not the same as what you can become.”
◊ Take an active role in learning ‘how to’ study mathematics by attending study skills workshops and reading study skills material
Trang 20Suggestions for Reducing Math
Anxiety
◊ Practice mathematics every day Be willing
to spend many hours developing your
confidence in solving mathematical
problems.
◊ Focus on the successes you have
experienced in mathematics rather than the failures.
◊ Get to know your instructor so you will feel more comfortable in approaching her for
assistance outside the class.
Trang 21Suggestions for Reducing Math Anxiety
◊ Do not try to merely survive a mathematics course through memorization alone UNDERSTANDING concepts is the key to successfully learning mathematics ◊ You cannot study ‘too much’ or ‘too often.’ Overlearn the test material to enable you to recall facts, formulas and procedures quickly
Trang 22Suggestions for Reducing Math Anxiety
◊ Approach the learning
of mathematics prepared for the experience and DON’T GIVE UP.
Trang 23Student Responsibilities
Students have responsibilities in their mathematics learning environment:
Students must understand that learning mathematics is time consuming
Students must understand they are responsible for their own learning
Students should appropriately prepare for class
Trang 26Teaching to Diffuse Math
Fiore, 1999
Trang 27Teaching to Diffuse Math
Anxiety
Create a comfortable, calm, non-threatening learning
environment
Demonstrate your caring for students’ feelings and learning
Encourage student to ask questions & be willing to answer any and all that arise
Trang 28Teaching to Diffuse Math
Anxiety
Handle incorrect responses positively to encourage student involvement and to enhance confidence
Never make a student feel ‘stupid,’ deliberately or unintentionally.
Communicate your enjoyment of mathematics in your teaching
Teach for understanding, not just replication of the procedure demonstrated
Trang 29Teaching to Diffuse Math
Anxiety
Do not prejudge a student’s ability or make assumptions about a student’s motivation, without exploring the background and/or life situation of the student
Encourage students to maximize their abilities to learn and not to give up
Persistence is as important for success as intelligence.
Trang 30Teaching to Diffuse Math
Trang 31Student Observations
“Teachers should be approachable, understanding, firm but fair.”
“Teachers should show they really care and want their students to learn.”
“Be comfortable with each individual student and show compassion.”
“Make the classroom a friendly place to be.”
“Encourage student interaction in study groups.”
Trang 32Student Observations
“Be available to help us without making
us feel we should know the work already.”
“Don’t make students feel stupid for
asking questions.”
“Be open to questions Answer all
questions without appearing irritated.”
“Don’t ridicule students, or encourage
others to make fun of students for asking questions or working problems wrong.”
Trang 33Student Observations
“Worry more about student understanding, than if you have covered the quota of material for the day.”
“Instructors should not overestimate or underestimate their students.”
“Instructors should be confident and exhibit a sound understanding of their subject matter.”
Trang 34Student Observations
“Explain problems step by step.”
“Relating algebra concepts to arithmetic concepts, helps me to recall the correct steps.”
“Give examples that will be relevant outside the classroom.”
“If there is no familiar concept to relate the pieces of the math puzzle to, the result is fear, anxiety and failure.”