The Mathematical Attitudes, Beliefs and Ability of Students
[International Research Journal of Interdisciplinary & Multidisciplinary Studies (IRJIMS)
A Peer-Reviewed Monthly Research Journal
ISSN: 2394-7969 (Online), ISSN: 2394-7950 (Print)]
Dipankar Choudhury
Department of Mathematics.
Bhawanipur Anchalik College, Bhawanipur.
Email: dipankarchoudhury1990@gmail.com
Department of Mathematics.
Bhawanipur Anchalik College, Bhawanipur.
Email: dipankarchoudhury1990@gmail.com
Introduction: Mathematics is abstract. It does not have a shape. Students cannot see it. They need to visualize properly for solving a mathematical problem. Visualization comes from the everyday experience and relating mathematics with it requires a very strong trainer. There is growing evidence of the importance of student’s attitudes and beliefs about mathematics for their achievement in and successful applications of the subject. Research studies have shown that students in higher education who are not maths majors often have negative images, beliefs and attitudes towards mathematics. There is great variation across all students. It is often but not invariably the case that mathematical achievement is correlated with positive attitudes to the subject. Typically, it is confidence in one’s own mathematical ability that is correlated with achievement rather than liking or pleasure in the subject.
Where such correlations do occur it is observed that the achievement-attitude link forms self-reinforcing cycles-
Students fall below their expected level of mathematics achievement for a variety of reasons. When asked why they were not as successful in learning mathematics, many people reply that they “never understood math,” or “never liked it because it was too abstract and did not relate to them.” These reasons and others can be categorized, in general, as environmental or personal, individualized factors.
In this paper I am going to discussed various issue related why students are not interested in mathematics or reason behind for quite mathematics.
Where such correlations do occur it is observed that the achievement-attitude link forms self-reinforcing cycles-
Students fall below their expected level of mathematics achievement for a variety of reasons. When asked why they were not as successful in learning mathematics, many people reply that they “never understood math,” or “never liked it because it was too abstract and did not relate to them.” These reasons and others can be categorized, in general, as environmental or personal, individualized factors.
In this paper I am going to discussed various issue related why students are not interested in mathematics or reason behind for quite mathematics.
Importance for the Study:
Mathematical principles and concepts have become a part of almost every area of work. Knowing these principles will help students succeed in both school and work. One of the skills needed to be successful in the 21st century elementary math is becoming an increasingly important part of early childhood education. The math skills that students learn at a young age build a foundation for future learning endeavors and can be a good indicator of whether or not young people will be able to meet and overcome new challenges as they mature.
Objective for the Study:
To determine why most of students in higher class are not interested in mathematics or avoiding it. What problems they have faced when they were studying mathematics in school. Also focus on the drawbacks of teaching methods in mathematics at school or college.
Methodology:
The data use in preparing the topic is the primary and secondary data. The primary data are prepared from my own experienced in teaching mathematics in school and discussed with various parents why their children is not interested in mathematics or reason for why their children have very poor knowledge in mathematics. The secondary data are collected from various documents, periodicals, books and internet. These data are collected and analyzed in systematic order.
Mathematical principles and concepts have become a part of almost every area of work. Knowing these principles will help students succeed in both school and work. One of the skills needed to be successful in the 21st century elementary math is becoming an increasingly important part of early childhood education. The math skills that students learn at a young age build a foundation for future learning endeavors and can be a good indicator of whether or not young people will be able to meet and overcome new challenges as they mature.
Objective for the Study:
To determine why most of students in higher class are not interested in mathematics or avoiding it. What problems they have faced when they were studying mathematics in school. Also focus on the drawbacks of teaching methods in mathematics at school or college.
Methodology:
The data use in preparing the topic is the primary and secondary data. The primary data are prepared from my own experienced in teaching mathematics in school and discussed with various parents why their children is not interested in mathematics or reason for why their children have very poor knowledge in mathematics. The secondary data are collected from various documents, periodicals, books and internet. These data are collected and analyzed in systematic order.
Factors depend on Mathematics learning:
There are various issue related that’s depends upon students interesting towards on maths. Some of them are-
1) Environmental Factors.
2) The Gap between Learner and Subject Matter.
3) Locus of Control.
4) Memory Ability.
5) Attention Span
6) Understanding the Language of Mathematics .
7) Present Teaching System.
There are various issue related that’s depends upon students interesting towards on maths. Some of them are-
1) Environmental Factors.
2) The Gap between Learner and Subject Matter.
3) Locus of Control.
4) Memory Ability.
5) Attention Span
6) Understanding the Language of Mathematics .
7) Present Teaching System.
Discussion:
1) Environmental Factors: Mathematics instruction must provide many opportunities for concept building, relevant challenging questions, problem solving, reasoning, and connections within the curriculum and real-world situations. Students who are taught in a way that relies too heavily on rote memorization isolated from meaning have difficulty recognizing and retaining math concepts and generalizations.
2) The Gap between Lerner and subject matter: When the mathematics content being taught is unconnected to students’ ability level and/or experiences, serious achievement gaps result. This situation may occur if students are absent frequently or transfer to another school during the academic year. A student may find the mathematics curriculum to be more advanced or paced differently than what was being taught in the previous school. Without intervention strategies, students could remain “lost” for the duration of their education. Too few life experiences, such as trips to neighborhood stores or opportunities to communicate with others about numbers through practical life examples,
can make math irrelevant for students. Gaps exist, therefore, not only in the curriculum but between the learner and perceived usefulness of the subject matter.
3) Locus of Control: Some students believe that their mathematical achievement is mainly attributable to factors beyond their control, such as luck. These students think that if they scored well on a mathematics assignment, they did so only because the content happened to be easy. These students do not attribute their success to understanding or hard work. Their locus is external because they believe achievement is due to factors beyond their control and do not acknowledge that diligence and a positive attitude play a significant role in accomplishment. Students might also believe that failure is related to either the lack of innate mathematical inability or level of intelligence. They view their achievement as accidental and poor progress as inevitable. In doing so, they limit their capacity to study and move ahead.
4) Memory Ability: Some students lack well-developed mental strategies for remembering how to complete algorithmic procedures and combinations of basic facts. However, strategies to improve capacities for remembering facts, formulas, or procedures can be taught. Repetition games such as calling out fact combinations and having students solve them and then repeat those that were called before their turn can help. For example, the teacher would call out “3 X 5 = 15 and a student would respond with “15.” That student would then ask a number question such as “7 - 5" of the group. The responder would reply, “3 X 5 = 15 and 7- 5 = 2.” The game continues as each player calls out a new fact and each responder answers with all the previous combinations and the new answer. Students’ ability to organize their thinking and use it to recall data will affect success throughout the curriculum.
5) Attention Span: Students may be mentally distracted and have difficulty focusing on multistep problems and procedures. Dealing with long-term projects or a number of variables or pieces of information at one time can interfere with achievement. Effective teachers should use attention getters such as drawings and learning aids. Students who work in pairs can help each other stay on task.
6) Understanding the Language of Mathematics: Students are confused by words that also have special mathematical meaning, such as “volume,” “yard,” “power,” and “area.” Lack of understanding of mathematical terms such as “divisor,” “factor,” “multiple,” and “denominator” seriously hampers students’ abilities to focus on and understand terms and operations for algorithms and problem solving. Memorizing these terms without meaning and context is not productive.
7) Present Teaching System: Another major contributor to the difficulty of mathematics is lack of innovation in conventional system of teaching. The conventional system of teaching makes mathematics a dud and boring subject. Students are unable to visualize the concept taught by the teacher. Therefore, their interest level goes down. Hence they start developing a disassociation with the subject. If this disassociation continues for a longer period of time child starts hating mathematics.
This phenomenon of Math fear is growing every day and now central board has also recognized this problem. Through their circular they have asked the schools to create an environment where child takes interest in Mathematics. Fundamentals are still taught in old-fashioned way in the school. Teachers teach fundamental without much of illustration therefore, students are not able to visualize the problem when they face it. They try to learn mathematics much like other subjects where they memorize facts and figures. Mathematics wants a thorough and good understanding.
Prevention of Math Anxiety:
Mathematics anxiety has been defined as feelings of tension and anxiety that interfere with the manipulation of numbers and the solving of mathematical problems in a wide variety of ordinary life and academic situations Math anxiety can cause one to forget and lose one’s self-confidence (Tobias, S., 1993). Research confirms that pressure of timed tests and risk of public embarrassment has long been recognized as sources of unproductive tension among many students. Three practices that are a regular part of the traditional mathematics classroom and cause great anxiety in many students are imposed authority, public exposure and time deadlines. Although these are a regular part of the traditional mathematics classroom cause great deal of anxiety. Therefore, teaching methods must be re-examined. Consequently, there should be more emphasis on teaching methods which include less lecture, more student directed classes and more discussion.
Given the fact that many students experience math anxiety in the traditional classroom; teachers should design classrooms that will make children feel more successful. Students must have a high level of success or a level of failure that they can tolerate. Therefore, incorrect responses must be handled in a positive way to encourage student participation and enhance student confidence.
Studies have shown students learn best when they are active rather than passive learners (Spikell, 1993). The theory of multiple intelligences addresses the different learning styles. Everyone is capable of learning, but may learn in different ways. Therefore, lessons must be presented in a variety of ways. For example, different ways to teach a new concept can be through play acting, cooperative groups, visual aids, hands on activities and technology. Learners today ask questions why something is done this way or that way and why not this way. Whereas years ago learners did not question the why of math concepts; they simply memorized and mechanically performed the operations needed.
Students today have a need for practical math. Therefore, math needs to be relevant to their everyday lives. Students enjoy experimenting. To learn mathematics, students must be engaged in exploring, conjecturing, and thinking rather than, engaged only in rote learning of rules and procedures.
Students’ prior negative experiences in math class and at home when learning math are often transferred and cause a lack of understanding of mathematics. According to Sheila Tobias, millions of adults are blocked from professional and personal opportunities because they fear or perform poorly in mathematics for many; these negative experiences remain throughout their adult lives.
Math is often associated with pain and frustration. For instance, unpaid bills, unforeseen debts, unbalanced checkbooks, IRS forms are a few of the negative experiences associated with numbers. Parents should show their children how numbers are successfully used by them in positive pleasant ways, such as in cooking, sewing, sports, problem solving in hobbies and home repairs.
Math must be looked upon in a positive light to reduce anxiety. A person’s state of mind has a great influence on his/her success. Many games are based on math concepts. Some games that are beneficial to learners and are enjoyed are cards playing, Life, Yahtzee, Battleship and Tangrams. With all the tension and anxiety, math humor is greatly needed. Young children enjoy cartoons and jokes. Cartoons may be used to introduce a concept or for class discussion. Most children will master mathematical concepts and skills more readily if they are presented first in concrete, pictorial and symbols. For example manipulatives are concrete objects used to teach a concept. By using manipulatives, pictures and symbols to model or represent abstract ideas, the stage is set for young learners to understand the abstractions they represent. Students enjoy the change from lecture and books and they are more inclined to explore with manipulatives and show greater interest in classwork. Cooperative groups provide students a chance to exchange ideas, to ask questions freely, to explain to one another, to clarify ideas in meaningful ways and to express feelings about their learning. These skills acquired at an early age will be greatly beneficial throughout their adult working life.
Given the fact that many students experience math anxiety in the traditional classroom; teachers should design classrooms that will make children feel more successful. Students must have a high level of success or a level of failure that they can tolerate. Therefore, incorrect responses must be handled in a positive way to encourage student participation and enhance student confidence.
Studies have shown students learn best when they are active rather than passive learners (Spikell, 1993). The theory of multiple intelligences addresses the different learning styles. Everyone is capable of learning, but may learn in different ways. Therefore, lessons must be presented in a variety of ways. For example, different ways to teach a new concept can be through play acting, cooperative groups, visual aids, hands on activities and technology. Learners today ask questions why something is done this way or that way and why not this way. Whereas years ago learners did not question the why of math concepts; they simply memorized and mechanically performed the operations needed.
Students today have a need for practical math. Therefore, math needs to be relevant to their everyday lives. Students enjoy experimenting. To learn mathematics, students must be engaged in exploring, conjecturing, and thinking rather than, engaged only in rote learning of rules and procedures.
Students’ prior negative experiences in math class and at home when learning math are often transferred and cause a lack of understanding of mathematics. According to Sheila Tobias, millions of adults are blocked from professional and personal opportunities because they fear or perform poorly in mathematics for many; these negative experiences remain throughout their adult lives.
Math is often associated with pain and frustration. For instance, unpaid bills, unforeseen debts, unbalanced checkbooks, IRS forms are a few of the negative experiences associated with numbers. Parents should show their children how numbers are successfully used by them in positive pleasant ways, such as in cooking, sewing, sports, problem solving in hobbies and home repairs.
Math must be looked upon in a positive light to reduce anxiety. A person’s state of mind has a great influence on his/her success. Many games are based on math concepts. Some games that are beneficial to learners and are enjoyed are cards playing, Life, Yahtzee, Battleship and Tangrams. With all the tension and anxiety, math humor is greatly needed. Young children enjoy cartoons and jokes. Cartoons may be used to introduce a concept or for class discussion. Most children will master mathematical concepts and skills more readily if they are presented first in concrete, pictorial and symbols. For example manipulatives are concrete objects used to teach a concept. By using manipulatives, pictures and symbols to model or represent abstract ideas, the stage is set for young learners to understand the abstractions they represent. Students enjoy the change from lecture and books and they are more inclined to explore with manipulatives and show greater interest in classwork. Cooperative groups provide students a chance to exchange ideas, to ask questions freely, to explain to one another, to clarify ideas in meaningful ways and to express feelings about their learning. These skills acquired at an early age will be greatly beneficial throughout their adult working life.
Conclusion:
Some people feel like they are simply not able to learn math. They may have been unsuccessful in learning math earlier or may have been told that they could not do math. This is called math anxiety. Math anxiety has to do with feelings, not abilities. Because someone feels like they cannot do math does not mean that they are unable to do math. The feelings can get in the way, though. For instance, if we see a problem that is difficult
for us, we may unknowingly tell our self that we can't do it. A key to getting over math anxiety is to figure out what is going on. We need to know when our feelings occur before we can manage them.
Most of Students are telling they don’t feel confident in math, they don’t think they will do well in math and they don’t like math. Children’s discomfort with math must be of concern, and we must work together to build mathematics positivity because the research is clear. Before children can learn mathematics, they must become interested in it. Someone say’s” If kids are not having fun, they’re not going to commit themselves. They’re not going to practice or learn. Fun generates achievement and focus.”
There are many important role of mathematics in everyday life. The best way to teach math is to help children to learn something that they enjoy showing to people. If they’re having fun, they own the experience.
Therefore if we put interest for mathematics among students than we must give importance to their school level teach system in mathematics. In conclusion, math anxiety is very real and occurs among thousands of people. Much of this anxiety happens in the classroom due to the lack of consideration of different learning styles of students. Today, the needs of society require a greater need for mathematics. Math must be looked upon in a positive light to reduce math anxiety. Therefore, teachers must re-examine traditional teaching methods which often do not match students’ learning styles and skills needed in society. Lessons must be presented in a variety of ways. For instance, a new concept can be taught through play acting, cooperative groups, visual aids, hands on activities and technology. As a result once young children see math as fun, they will enjoy it, and, the joy of mathematics could remain with them throughout the rest of their lives.
Students are more motivated when they realize where all maths is needed. Point out the everyday applications of math to students. For example, basic math such as estimating prices and totals (when shopping), fractions (in cooking), decimals (calculating with money), and measuring skills (sewing, woodwork) are very needful in everyday life. Percent’s, large numbers, and basic statistics are essential in order to understand information in newspapers and schoolbooks. As adults, we have to calculate and file taxes for the year, compare payment methods, figure out loans and home budgets, etc. And where do you need algebra, trigonometry, calculus, and such "higher math"? Chiefly, if the student wants to study science, electronics, commerce, physics, math, medicine or various other fields in the college or university. Algebra also develops logical thinking and problem solving skills. The crucial point here is that many youngsters in ninth or tenth grade don't YET know what they will do after school. Therefore, if there is any chance that they might want to study one of these fields, it is advisable to take algebra, geometry, and so on in high school.
Some people feel like they are simply not able to learn math. They may have been unsuccessful in learning math earlier or may have been told that they could not do math. This is called math anxiety. Math anxiety has to do with feelings, not abilities. Because someone feels like they cannot do math does not mean that they are unable to do math. The feelings can get in the way, though. For instance, if we see a problem that is difficult
for us, we may unknowingly tell our self that we can't do it. A key to getting over math anxiety is to figure out what is going on. We need to know when our feelings occur before we can manage them.
Most of Students are telling they don’t feel confident in math, they don’t think they will do well in math and they don’t like math. Children’s discomfort with math must be of concern, and we must work together to build mathematics positivity because the research is clear. Before children can learn mathematics, they must become interested in it. Someone say’s” If kids are not having fun, they’re not going to commit themselves. They’re not going to practice or learn. Fun generates achievement and focus.”
There are many important role of mathematics in everyday life. The best way to teach math is to help children to learn something that they enjoy showing to people. If they’re having fun, they own the experience.
Therefore if we put interest for mathematics among students than we must give importance to their school level teach system in mathematics. In conclusion, math anxiety is very real and occurs among thousands of people. Much of this anxiety happens in the classroom due to the lack of consideration of different learning styles of students. Today, the needs of society require a greater need for mathematics. Math must be looked upon in a positive light to reduce math anxiety. Therefore, teachers must re-examine traditional teaching methods which often do not match students’ learning styles and skills needed in society. Lessons must be presented in a variety of ways. For instance, a new concept can be taught through play acting, cooperative groups, visual aids, hands on activities and technology. As a result once young children see math as fun, they will enjoy it, and, the joy of mathematics could remain with them throughout the rest of their lives.
Students are more motivated when they realize where all maths is needed. Point out the everyday applications of math to students. For example, basic math such as estimating prices and totals (when shopping), fractions (in cooking), decimals (calculating with money), and measuring skills (sewing, woodwork) are very needful in everyday life. Percent’s, large numbers, and basic statistics are essential in order to understand information in newspapers and schoolbooks. As adults, we have to calculate and file taxes for the year, compare payment methods, figure out loans and home budgets, etc. And where do you need algebra, trigonometry, calculus, and such "higher math"? Chiefly, if the student wants to study science, electronics, commerce, physics, math, medicine or various other fields in the college or university. Algebra also develops logical thinking and problem solving skills. The crucial point here is that many youngsters in ninth or tenth grade don't YET know what they will do after school. Therefore, if there is any chance that they might want to study one of these fields, it is advisable to take algebra, geometry, and so on in high school.
Reference:
1) Spikell, M. (1993). Teaching mathematics with manipulatives: A resource of activities for the K-12 teacher. New York: Allyn and Bacon.
2) Tobias, S. (1993). Overcoming math anxiety. New York: W. W. Norton & Company.
The Philosophy of Mathematics Education, Falmer Press,
3) London, Ernest, P., (1991).
4) Adults Mathematical Thinking and Emotions, Falmer Press,
London, Evans, J., (2000).
5) International Journal for Mathematical Education in Science and Technology 14(2), p217, Berenson, L. and Robinson, B., (1983).
6) Websites and journals related to this topics.