A good mathematician is logical, analytical, and detailoriented, with a strong understanding of mathematical concepts and a willingness to persist through challenging problems.
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A good mathematician is much more than just someone who can do calculations quickly. They possess a unique set of qualities and skills that allow them to excel in their field. As stated in the brief answer, a good mathematician is logical and analytical, with a strong understanding of mathematical concepts and the ability to persist through challenging problems. In addition to these fundamental traits, there are several other qualities that make a good mathematician:

Creativity: Mathematics requires a great deal of creativity, especially when faced with complex problems that have no clear solution. A good mathematician must be able to think outside the box and come up with innovative approaches to solve these problems.

Attention to detail: In mathematics, even the smallest mistake can lead to incorrect results. A good mathematician pays close attention to detail and takes the time to doublecheck their work to ensure accuracy.

Persistence: Mathematics is not always easy, and a good mathematician must be willing to put in the time and effort to solve challenging problems. They don’t give up easily and are willing to try different approaches until they find a solution.

Flexibility: Math can be unpredictable, and a good mathematician must be flexible in their thinking. They must be able to adapt to changing situations and adjust their approach as necessary.

Passion: perhaps the most important of all, a love of math. As Albert Einstein once said: “Pure mathematics is, in its way, the poetry of logical ideas.”
Here is a table to further illustrate the qualities of a good mathematician:
Qualities of a Good Mathematician 

Logical 
Analytical 
Detailoriented 
Strong understanding of mathematical concepts 
Willingness to persist through challenging problems 
Creative 
Attentive to detail 
Persistent 
Flexible 
Passionate 
In conclusion, being a good mathematician requires a unique combination of skills and qualities, including logic, analytical ability, attention to detail, persistence, creativity, flexibility, and passion. These qualities are essential for success in the field, and without them, it is difficult to excel as a mathematician. As John Urschel, a former NFL player and current Ph.D. candidate in mathematics, says: “Mathematics is a vast, beautiful, and interesting subject, and it is rewarding to spend time exploring it.”
Answer in the video
The video discusses the key qualities of a good mathematics textbook. The physical features including binding and printing should be of superior quality, and the author should be qualified and experienced. The content should accurately cover the syllabus and recent developments in mathematics. The organization and presentation should meet the needs of students of varying abilities, encourage selfstudy and initiative, and improve study habits. The language should be simple and understandable, and the exercises and illustrations should be attractive and motivating. The textbook should include reallife situations, challenge gifted students, and have wellgraded exercises. Finally, the textbook should be of the latest edition, moderately priced, and readily available in the market.
Many additional responses to your query
the ability to reason, generalise and make sense of solutions. fluency in performing written and mental calculations and mathematical techniques. a wide range of mathematical vocabulary. a commitment to and passion for the subject.
5 Traits of Highly Successful Math Students
 Develop your Number Sense Skills At the core of any mathematical problem solving is the ability to effectively calculate.
 Organization One of the most underrated traits to be successful at math is organization.
— A GOOD mathematician wants to know how. A GREAT mathematician wants to know why. — A GOOD mathematician can make arguments intuitive or rigorous. A GREAT mathematician can make an argument intuitive and rigorous. — A GOOD mathematician answers questions. A GREAT mathematician questions answers.
10 Things Every Good Mathematician Should Do:
 1. Look For Patterns If you are trying to solve a complex problem, and have no idea where to start, try to find a pattern and see if that pattern tells you anything.
 2. Draw a Picture, Diagram or Chart
Furthermore, people are interested
What makes a good mathematician? As an answer to this: To truly consider yourself a good mathematician, it’s best to have a thorough understanding of mathematical vocabulary, possess the ability to make connections within mathematics and recall numbers accurately. You also need independent thinking and an understanding of essential concepts.
Thereof, What skills do you need to be a good math student?
Reading Comprehension — Understanding written sentences and paragraphs in work related documents. Active Learning — Understanding the implications of new information for both current and future problemsolving and decisionmaking. Mathematical Reasoning — The ability to choose the right mathematical methods or formulas to solve a problem.
One may also ask, What personality traits do mathematicians have? Here are the results. Mathematicians tend to be predominantly investigative individuals, which means that they are quite inquisitive and curious people that often like to spend time alone with their thoughts. They also tend to be conventional, meaning that they are usually detailoriented and organized, and like working in a structured environment.
Moreover, How do I learn math if I’m a mathematician?
Gaining a fundamental understanding of mathematics mostly happens with intense and consistent studying on your own; however, asking questions and conversing with your peers can lead to personal insights or a new perspective on an old problem. Make time to stop for conversation and discuss difficult problems with fellow mathematicians.
Beside above, What makes a good mathematician?
Answer: Mathematicians score highly on extraversion, meaning that they rely on external stimuli to be happy, such as people or exciting surroundings. They also tend to be high on the measure of conscientiousness, which means that they are methodical, reliable, and generally plan out things in advance.
What skills do you need to be a good math student? Response will be: Reading Comprehension — Understanding written sentences and paragraphs in work related documents. Active Learning — Understanding the implications of new information for both current and future problemsolving and decisionmaking. Mathematical Reasoning — The ability to choose the right mathematical methods or formulas to solve a problem.
What personality traits do mathematicians have? Here are the results. Mathematicians tend to be predominantly investigative individuals, which means that they are quite inquisitive and curious people that often like to spend time alone with their thoughts. They also tend to be conventional, meaning that they are usually detailoriented and organized, and like working in a structured environment.
Correspondingly, How do I learn math if I’m a mathematician? Response will be: Gaining a fundamental understanding of mathematics mostly happens with intense and consistent studying on your own; however, asking questions and conversing with your peers can lead to personal insights or a new perspective on an old problem. Make time to stop for conversation and discuss difficult problems with fellow mathematicians.