Why do people hate mathematics?

Numberphile
19 Jan 201409:17
EducationalLearning
32 Likes 10 Comments

TLDRProfessor Frenkel addresses the common dislike for mathematics by comparing it to an art class that only teaches how to paint fences, missing out on the great works of art. He argues that people often dislike math because they've only been exposed to its most basic and utilitarian aspects, not its beauty and depth. To change this perception, he suggests connecting math to daily life, such as understanding algorithms that power online recommendations. Frenkel emphasizes the importance of mathematical literacy, not just for its practical applications, but for its role in culture and its potential for misuse if misunderstood. He calls for more mathematicians to share their passion with the public and for an educational system that makes math engaging and relevant. The conversation highlights the irony that despite math's foundational role in our world, it is often met with aversion rather than curiosity or admiration.

Takeaways
  • ๐ŸŽจ **Art of Mathematics**: Professor Frenkel compares the dislike for math to only learning to paint a fence in art class, rather than appreciating the works of great masters.
  • ๐ŸŒ **Relevance in Daily Life**: Mathematics is connected to our daily lives, such as algorithms on Amazon that make recommendations based on our preferences.
  • ๐Ÿงฎ **Cultural Importance**: Mathematics is as much a part of our culture as literature and art, and understanding it can lead to a more fulfilling life.
  • ๐Ÿš€ **Power and Misuse**: The increasing importance of mathematics in our lives also presents opportunities for misuse, as seen in the global economic crisis caused by misapplied mathematical models.
  • ๐Ÿ™๏ธ **Understanding for Freedom**: Professor Frenkel argues that understanding mathematics is essential for freedom and the functioning of democracy.
  • ๐Ÿค” **Ignorance vs. Knowledge**: Ignorance of mathematics can be exploited, and being aware of its power is crucial for citizens in today's world.
  • ๐Ÿ‘จโ€๐Ÿ‘ฉโ€๐Ÿ‘งโ€๐Ÿ‘ฆ **Public Awareness**: The general public is not aware of the 'masterpieces' in mathematics as they are with art, indicating a need for increased public engagement with mathematical ideas.
  • ๐Ÿ“š **Educational System**: The current educational system is criticized for not effectively conveying the beauty and applicability of mathematics.
  • ๐Ÿค **Responsibility of Mathematicians**: Professor Frenkel believes that professional mathematicians have not done enough to make mathematical ideas accessible to the public.
  • ๐ŸŒŸ **The Secret of Mathematics**: There is a 'secret' world of beautiful mathematical ideas that is not widely recognized or appreciated, and mathematicians should work to share this.
  • โ›ต **Exploration and Discovery**: Unlike physical exploration, the world of mathematics offers boundless opportunities for discovery that are available to everyone.
Q & A
  • Why does Professor Frenkel believe many people dislike mathematics?

    -Professor Frenkel suggests that people often dislike mathematics because they are only taught practical applications, like painting a fence, without being exposed to the beauty and depth of the subject, similar to not appreciating art if only taught to paint a fence.

  • How does Professor Frenkel relate the use of algorithms by Amazon to mathematics?

    -He explains that the recommendation algorithms used by Amazon are based on sophisticated mathematics that analyze past choices and correlate users with similar preferences, emphasizing that mathematics is integral to the functionality of such technologies.

  • What is Professor Frenkel's stance on the necessity of understanding the underlying mathematics of technologies we use daily?

    -While acknowledging that we can appreciate and use technologies without understanding their mathematical foundations, he argues that understanding mathematics is important because it is increasingly influential in our lives and misuse of it can have serious consequences.

  • Why does Professor Frenkel think mathematics is essential for freedom and democracy?

    -He believes that mathematics is essential for freedom because it enables us to understand and question the sophisticated models that influence our lives and society, such as those that contributed to the global economic crisis.

  • How does Professor Frenkel suggest we can make mathematics more accessible and appreciated by the public?

    -He suggests that professional mathematicians should do more to communicate mathematical ideas in an accessible and creative way, using metaphors and analogies that connect to things people already know.

  • What does Professor Frenkel think about the role of art in relation to mathematics in terms of cultural awareness?

    -He points out that while art is important and speaks to our emotions and the world, people are generally more aware of art and its masterpieces. He argues that mathematics, being the language of nature, is more fundamental and should be equally recognized and appreciated.

  • Who does Professor Frenkel believe should be held responsible for the lack of public engagement with mathematics?

    -Rather than blaming high school teachers, he believes that professional mathematicians, including himself, are responsible for not doing enough to expose the public to mathematical ideas in an accessible way.

  • What does Professor Frenkel see as the role of mathematics in our daily lives?

    -He sees mathematics as the underlying framework of everything in our daily lives, describing it as the language of nature. He emphasizes its importance and the necessity for everyone to be aware of its power and potential.

  • Why does Professor Frenkel believe that mathematics is not as culturally integrated as other scientific concepts?

    -He suggests that this is partly because mathematicians have not been as successful as other scientists in communicating complex ideas in a way that is engaging and relatable to the general public.

  • What is Professor Frenkel's vision for improving mathematical education and awareness?

    -His vision involves mathematicians sharing the beauty and importance of their field more openly, working through the education system to help teachers connect mathematics with the real world, and making the study of mathematics more enjoyable and interesting for students.

  • Why does Professor Frenkel find it ironic that many people hate mathematics despite its potential to be the 'coolest stuff in the world'?

    -He finds it ironic because mathematics has the potential to be incredibly engaging and relevant, yet it is often taught in a way that fails to inspire interest or show its true value, leading to a widespread dislike for the subject.

Outlines
00:00
๐Ÿค” Understanding the Disdain for Mathematics

Professor Frenkel discusses why many people harbor a dislike for mathematics, comparing it to an art class that only teaches how to paint a fence without exposing students to great art. He suggests that people often fail to see the beauty and power of mathematics because they are not introduced to its profound concepts. The conversation emphasizes the importance of connecting math to daily life, such as through algorithms that drive online recommendations, and the need for a broader understanding of mathematics to prevent misuse and manipulation, especially in areas like finance.

05:03
๐Ÿ“š The Role of Mathematicians in Public Perception

Professor Frenkel takes responsibility for the lack of public engagement with mathematics, arguing that professional mathematicians have not done enough to make their field accessible and exciting. He contrasts this with other scientific disciplines that have successfully integrated their concepts into cultural discourse. Frenkel calls for mathematicians to share the beauty of their subject more widely and for improvements in the education system to make math education more enjoyable and relevant. He also addresses the irony that while many dislike math, it is a fundamental part of our world and essential for freedom and democracy.

Mindmap
Keywords
๐Ÿ’กMathematics
Mathematics is a field of study that involves the properties and relationships of numbers, quantities, shapes, and patterns. In the video, Professor Frenkel argues that mathematics is not just about solving equations but is an integral part of our culture and daily lives. It is used to illustrate the importance of understanding mathematics beyond its basic applications.
๐Ÿ’กAlgorithms
Algorithms are a set of rules or procedures for calculations. They are a cornerstone of computer science and are used in various applications, including online recommendation systems like those on Amazon. In the script, algorithms are mentioned to highlight how mathematics is applied in technology that affects our daily lives.
๐Ÿ’กCultural Discourse
Cultural discourse refers to the exchange of ideas and information within a culture. The video emphasizes the need for mathematical ideas to be part of our cultural discourse, just like art and literature, to foster a more informed and aware society.
๐Ÿ’กMisuse of Mathematics
The misuse of mathematics refers to the improper application or manipulation of mathematical models, which can lead to negative consequences. The script mentions the global economic crisis as an example of such misuse, highlighting the importance of understanding mathematics to prevent such occurrences.
๐Ÿ’กFreedom and Mathematics
The concept of freedom in mathematics is discussed in the context of understanding and being able to critically evaluate mathematical models and algorithms that influence our lives. The video suggests that without understanding mathematics, individuals may be more susceptible to manipulation and misuse of mathematical concepts.
๐Ÿ’กProfessional Mathematicians
Professional mathematicians are individuals who specialize in the field of mathematics. The video script suggests that these professionals have a responsibility to communicate the beauty and importance of mathematics to the public in an accessible way, which is crucial for changing public perception and increasing appreciation for the subject.
๐Ÿ’กEducation System
The education system refers to the structured process of teaching and learning, typically in schools. In the video, the education system is criticized for not effectively conveying the relevance and beauty of mathematics, and it is suggested that changes are needed to make the study of mathematics more engaging and connected to real-world applications.
๐Ÿ’กMetaphors and Analogies
Metaphors and analogies are figures of speech used to explain complex ideas by relating them to more familiar concepts. The script emphasizes the importance of using creative metaphors and analogies to make mathematics more accessible and understandable to the general public.
๐Ÿ’กLanguage of Nature
The term 'language of nature' is used to describe mathematics as a fundamental way to describe and understand the natural world. It suggests that mathematics is a universal language that underlies the structure and behavior of the universe, making it essential for understanding the world around us.
๐Ÿ’กIgnorance
Ignorance, in the context of the video, refers to the lack of knowledge or understanding about mathematics and its applications. It is portrayed as a vulnerability that can be exploited, emphasizing the need for a more mathematically literate society to protect against misuse and manipulation.
๐Ÿ’กMasterpieces
In the video, 'masterpieces' are used metaphorically to refer to the great works or discoveries in the field of mathematics. The lack of public awareness about these mathematical masterpieces is contrasted with the general knowledge of famous works of art, highlighting the need for greater recognition and appreciation of mathematical achievements.
Highlights

Many people dislike mathematics because they are often only taught practical applications, not the beauty and depth of the subject.

Professor Frenkel compares the lack of exposure to mathematical masterpieces to only being taught to paint fences in an art class.

Mathematics is an essential part of our culture, akin to literature and art, and should be understood for a fulfilling life.

The misuse of mathematical models significantly contributed to the global economic crisis, highlighting the importance of understanding math.

Mathematics is crucial for freedom and the functioning of democracy, as it can be used for manipulation if misunderstood.

Professor Frenkel emphasizes the need for mathematics to be part of cultural discourse, like DNA and stars.

The lack of public understanding of mathematics is partly due to professional mathematicians not effectively communicating the subject.

Mathematicians should work on making their field more accessible and relatable to the public.

High school teachers are not to blame for poor math education as they are products of the same system and often overworked and underpaid.

Professor Frenkel calls for more mathematicians to share the beauty of their field with the public.

Mathematics is the language of nature and is fundamental to all aspects of life, unlike art which can be appreciated but is not essential.

The current state of math education is likened to a 'conspiracy' that keeps the beauty of mathematics a secret from the majority.

Professor Frenkel believes that with the right approach, students would be eager to learn more about mathematics.

The transcript highlights the irony that despite mathematics being described as the 'coolest stuff in the world,' many people still dislike it.

Audible.com offers a range of audiobooks, including Professor Frenkel's book 'Love and Math', which can be accessed through Audible.com/Numberphile.

By signing up through the provided link, users can download a free book, and 'Love and Math' is suggested as a choice to explore the professor's passion for mathematics.

Transcripts
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