MATHEMATICS and How to Develop Interest in Maths?Shahaziya Ummer
Meaning of Mathematics, Definition of Mathematics, Nature of mathematics, Need and significance of learning Mathematics, How to develop and maintain interest in mathematics?,
Inductive method:a psychological method of developing formulas and principles
Deductive method:A speedy method of deduction and application.
best method is to develop formuias and then apply in examples therefore -inducto -deductive method
MATHEMATICS and How to Develop Interest in Maths?Shahaziya Ummer
Meaning of Mathematics, Definition of Mathematics, Nature of mathematics, Need and significance of learning Mathematics, How to develop and maintain interest in mathematics?,
Inductive method:a psychological method of developing formulas and principles
Deductive method:A speedy method of deduction and application.
best method is to develop formuias and then apply in examples therefore -inducto -deductive method
Questioning the value of mathematics: Is mathematics harmful? Paul Ernest
Questioning the Value of Mathematics
Is mathematics harmful? Can it be damaging to the human spirit? These may sound like strange and unprovoked questions. But let me explore these possibilities in the context of some of the acknowledged positive value of mathematics.
Mathematics is often claimed to have different types of value:
1. Extrinsic or social value because of all of its uses and applications in society, technology and other areas including the sciences;
2. Personal value because of its empowerment of individuals via their understanding and ability to use and apply mathematics, as well as enabling some to develop and express their creativity through mathematics;
3. Intrinsic value as a wonderful exploration of pure thought and ideas for its own sake.
But are these untrammelled goods? Does promoting these aspects of value lead to solely beneficial outcomes? What are the actual, including unintended, outcomes and the opportunity costs of privileging mathematics in education and society? Mathematics provides the foundation for banking, commerce and indeed money itself. But is mathematics implicated in the global disparities in wealth and life chances? Mathematics underpins instrumentalist thinking and governmentality, but is mathematics responsible for the growing dehumanization in the treatment of people in the modern world? Mathematics is a core subject in the school curriculum and virtually a sine qua non for university education. However, many school leavers have negative attitudes towards mathematics and feelings of inadequacy. Is overvaluing mathematical achievement to blame for this? In the presentation I explore some of the deeper reasons underpinning these problems.
By better understanding the limits to its value I believe we can be wiser in teaching, applying and creating mathematics. I conclude that although mathematics itself is neutral, it is its misapplications that are to blame for problems like those listed above. My recommendation is that to avoid such problems we need to teach philosophy and ethics to mathematics students at college, and also need to reform the school mathematics curriculum in an holistic way.
Here's the link in case you want to see the talk itself
http://www.youtube.com/watch?v=RCngE2hZyMg
Civil society is a concept located strategically at the cross-section of important strands of intellectual developments in the social sciences.How is Mathematics related to Civil Society? People believe, Mathematics is a divine discipline. Some love Mathematics, while some fear it; some study Mathematics, while some worship it. Ancient Indian Mathematicians like Aryabatta or Bhaskara worshipped Mathematics and lived for it. It was not for any material benefit, but was out of their devotion. Again, the legend Srinivasa Ramanujan of India was a man who adored Mathematics. All over the world, there were and there are people who loved Mathematics as a divine subject. Hence it may be a very interesting topic of research, that how Mathematics affects the Civil Society.
Unlocking Reform and Culturally Relevant Teaching of MathematicsLou Matthews
The purpose of this workshop is to explore the promise and practice of culturally relevant teaching of mathematics.
Expanded Success Initiative, NYDOE, Manhattan NY
August 13, 2015
Participants explore, discuss, and interact with central notions of mathematics, reform teaching, and culturally responsive approaches in the mathematics classroom.
Similar to Values of learning mathematics & correlation of mathematics (20)
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
Ethnobotany and Ethnopharmacology:
Ethnobotany in herbal drug evaluation,
Impact of Ethnobotany in traditional medicine,
New development in herbals,
Bio-prospecting tools for drug discovery,
Role of Ethnopharmacology in drug evaluation,
Reverse Pharmacology.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
3. I.Values of Learning Mathematics
Values are the outcomes or results achieved after
teaching according to certain aims. They are the actual
results of our teaching effort.
• Practical or Utilitarian values
• Intellectual values
• Social values
• Moral values
• Disciplinary values
• Cultural values
• International values
• Aesthetic values
• Vocational values
• Psychological values
4. 1. Practical or Utilitarian Value
Everybody uses mathematics in their daily life.
Any person who is ignorant of mathematics can be easily
cheated. He will always be at the mercy of others.
We have to make purchases daily. We buy cloth, food
items, fruit, vegetables, grocery etc. We have to calculate
how much we have to pay for everything.
Mathematics is needed by all of us whether rich or poor,
high or low.
5. Not to speak of engineers, bankers, accountants,
businessman, planners etc., even petty shopkeepers,
humble coolies, carpenters and laborers need mathematics
not only for earning their livelihood but also to spend
wisely and save for future.
Whoever earns and spends uses mathematics.
We are living in a world of measurements. We have to
measure lengths, areas, volumes and weights. We have to
fix timings, prices, wages, rates, percentages, targets,
exchanges etc. In the absence of these fixations, the life in
the present complex society will come to a standstill.
6. Just think if a fairy descends on earth and
removes all mathematics. There will be no
calendar, no maps, no accounts, no fixations or
measurements, no industrial activity, no plans or
projects. Thus we see that mathematics has
tremendous value or application in our daily life.
It is essential for leading a successful social life.
7. 2. Intellectual values
Develops intellectual powers:
• imagination
• Memorization
• Observation
• Invention
• Concentration
• Originality
• Creativity
• reasoning
If a child faces mathematical problems, his mind become
active in solving that problem.
8. 3. Social values
Social values can be acquired
• Tolerance
• Open
mindedness
• Objectivity
• Honesty
• Truthfulness
• Co-operation
• Will power
Organization and maintenance of social institutions
• banks
• co-operations
• Railways
• post offices
9. 4. Moral values
Develops moral qualities:
• Honesty
• Truthfulness
• Justice
• Dutifulness
• Punctuality
• self confidence
• power of
distinguishing
between right and
wrong
• Cleanness
• Patience
• listening to others
• respect to others
Deprives off the feelings of jealousy, hate etc.
Ability in arguing on the correctness and incorrectness of a statement.
10. 5. Disciplinary Values
“Mathematics is the way to settle in the mind a habit
of reasoning”
-Locke
• As mathematical knowledge is exact, logical, real and
to that point, it creates discipline in a human mind.
• Develops an ability to grasp a situation , to analyze
the situation and to perceive correctly the state of
affairs
11. Helps the students to imbibe qualities:
• Simplicity
• Accuracy
• Certainty of results
• Originality
• Similarity to reasoning in life
• Verification of results
• Concentration of mind
12. 6. Cultural values
“Mathematics is the mirror of civilization”
By the culture of a nation or society we mean the mode
of living of its inhabitants.
Helps in promoting cultural heritage an transmitting it to
future generation.
The welfare of our civilization is almost depends upon
scientific and mathematical developments.
Helped in the development of various subjects and
occupations.
13. 7. International values
Mathematicians research their mathematical ideas
from one nation to another nation.
Mathematician’s books and journals are circulated
among almost all the nations of the world.
14. 8. Aesthetic values
“Education as a whole should foster the higher impersonal pleasures”
-Thorndike
One gets pleasure in solving mathematical problems, especially when he get
correct answers to his problems.
Different symmetric designs by Ramanujan are a source of great pleasure
Eg:
Mathematics is closely related with arts like drawing, painting, music etc
All musical instruments like harmonium, drum, flute, guitar, violin etc are
played with the rules of mathematics.
15. 9. Vocational values
Mathematics has great vocational values.
Study of mathematics prepares the students for a wide
variety of vocations.
It finds extensive application in all vocations like:
• Agriculture
• Accountancy
• Banking
• Business
• Engineering
• information
technology
• Tailoring
• Carpentry
• surveying etc.
16. 10. Psychological values
Mathematics helps to develop positive attitudes such as
open mindedness, reasoning etc.
The learning of mathematics is based on fundamental
principles of psychology such as learning by doing
learning through experiences and problem solving etc.
17. Learning of mathematics results in the development
of a number of fruitful values in the students. Only a
resourceful teacher of mathematics with his
deliberate efforts and planning can make it possible
for the students to realize these values.
18. II.Correlation of Mathematics
Mathematics is applied and used everywhere in earth.
Mathematics has relation with many other subjects.
In our daily life we are applying and using mathematics.
Calculations, scientific methods and so on mainly depend on
mathematics.
Mathematics has correlation with:
• life
• different branches of
mathematics
• other subjects
• between different topics within
mathematics.
19. (a) With life:
• Mathematics expresses itself everywhere in almost every fact of life in
nature all around us and in the technologies in our hands.
• Mathematics is the language of science and engineering-describing our
understanding of all that we observe.
• In our daily life, mathematics has a central role. In time, in counting, in
calculations etc we apply techniques of mathematics.
• Even in nature also, there is a hand of mathematics.
Eg: the Fibonacci sequence 1, 1, 2, 3, 5, 8 … is derived from adding the
previous two numbers. This sequence of numbers can be found in many
natural patterns like in pineapples, sunflowers, nautilus and pine cones.
• If we generalize, there is a correlation of mathematics in counting , in
nature, in shapes, curves and patterns, in games and puzzles, in time
etc.
20. (b) With other subjects:
Mathematics is termed as the Queen of science. So
mathematics has relation between all other
subjects.
21. (i) Science
Science and math are intimately connected particularly
in fields such as chemistry, astronomy and physics.
Mathematics is also important in practical sciences
such as engineering and computer science. Students
may have to solve equation when writing programs.
22. (ii) Literature and writing
Literature might seem like a far cry from
mathematics, but mastering basic arithmetic can
enable students t better understand poetry.
The meter of poetry, the number of words to include
in a line and the effect that certain rhymes have on
the reader are all products of mathematical
calculations
23. (iii) Social studies
Social studies classes such as history, often require
students to review chart and graphs that provide
historical data or information on ethnic groups.
In geography classes, students might need to
understand how the elevation of an area affects its
populations or chart the extent to which different
populations have different average life spans.
Knowledge of basic mathematical terms and formulae
makes statistical information accessible.
24. (iv) The arts
Students interested in pursuing careers in theater, music,
dance or art can be benefit from basic mathematical
knowledge.
Musical rhythm often follows complex mathematical
series, and math can help students learn the basic
rhythms of dances used in bullet and theater
performances.
Art thrives an geometry, and students who understand
basic geometric formulae can craft impressive art pieces.
25. (c) With different branches of mathematics:
All the branches of mathematics are interrelated
and interpenetrating, and these help one
another to advance.
Moreover, some branches of mathematical
sciences like modern algebra. Linear algebra,
real analysis, complex analysis, functional
analysis, ordinary differential equations, partial
differential equations, differential geometry and
so on , are base branches.
26. • Traditionally, these are collectively called Pure
mathematics. We should have a sufficient grounding in
these pure or base branches. With this grounding we
shall be well prepared to grasp and advance the study
and research of applied mathematical sciences like
statistics. So, there is organic relation between pure
mathematical sciences and applied mathematical
sciences. We should grasp the importance of this
organic relation and move forward.
27. (d) Between different topics in the same branch
If we take any branch of mathematics the topic in the same
branch of mathematics should be correlated to each other.
In algebra, the topic polynomial is related with equation.
In geometry, the knowledge of area of triangles leads to the
derivation of the formula for the area of quadrilateral,
rectangle, square, parallelogram, rhombus, trapezium, regular
hexagon and so on.
Similarly in arithmetic, without the knowledge of percentage,
one cannot understand the concepts of discount, interest, rate...
28. CONCLUSION
There are mainly ten values in learning mathematics. They are
practical value, intellectual value, social value, moral values,
disciplinary values, cultural values, international values,
aesthetic values, vocational values and psychological values.
Also we learned the correlation of mathematics. We know
that mathematics is an universal subject. It has application
everywhere. We can’t consider anything without mathematics.
We observed that mathematics has relation with life, other
subjects, and different branches of mathematics and different
topics of same subject. Mathematics is a main part in our daily
life.