The Heart Of Math Chapter 1 Summary

After reading the novel Grit by Angela Duckworth I am now truly inspired. Throughout the novel she talks about her experiences and different ways to succeed in life. The four concepts she talked about were interest, practice, purpose and hope. These can all be used everyday. Especially in college and even later on in life. The two that stuck out to me the most were practice and purpose.

Student Answer:  Based on the information presented in this case, the expenses that seem out of line and could be reduced to increase the surplus at the end of each month are:1. Gifts and donations2. family clothing allowance?

An important rule to live by is When you set a goal don't be too quick to make an exit plan. This means that if you really want to achieve something in life, but you’re thinking about what you are going to do if it doesn’t work out then you are already thinking about failing. This is an important rule to live by because if you always have a way to get out of what you are trying to do then it is easy to not finish.

The first high-leverage teaching practice is called “explaining and modeling content, practices, and strategies”. This method is found in almost all math classrooms. When a new topic was introduced, my CT explicitly wrote out all of the steps to the problem. Then she modeled all of the steps with an example by both verbalizing her thoughts and writing them down. She even wrote out a thought bubble whenever the students had to add a positive and a negative number. Although the problem tells you to add, they must think subtract.

One of the most influential quotes I read is that we should forgive ourselves and forgive others. Also, in chapter five the professor passes a very brief yet valuable advice when he said: "Find someone to share your heart, give to your community, be at peace with yourself, try to be as human as you can be."

If you learn nothing else in life, please: do one thing and take care to remember that. In my expansive, albeit short, time of living, I have come to realize that few words amount to more than those four.

In the self-improvement book, The 7 Habits of Highly Effective People, author Stephen R. Covey presents an integrated and principle-centered approach for solving personal and professional issues and problems. Covey uses real life examples as well as his own experience to reveal a step-by-step way for living with integrity, honesty, and self-respect. In the book he explains principles that give someone the comfort to adapt to change and the wisdom to take control and full advantage of the opportunities that the business world and personal lives create. This book seems very useful and I found a few habits that I plan to adopt and work at including in my everyday life. They are basic things in everyday life that can make things easier, more

 The works I have done reassured me that the math we learn at University has real life applications.

While I have without a doubt learned much more in this class than I assumed I would, I still have trouble grasping the equations and backgrounds of the scientific discoveries we have read about. Science and math have never been my strong suits so it takes a little bit of extra explanation and breakdowns for me to fully comprehend lessons within the two. Since I am a visual learner, watching the theories, laws, and equations be proven would definitely be helpful for me. If there were videos incorporated into the lectures and discussions, I know I would benefit. I am not sure if it is feasible, but if we were able to do any experiments related to the topics, it would be easier for me to clearly understand every aspect of what it is we are focusing on. As I said, I am learning from both the

lIn “The Seven Habits of Highly Effective People,” Stephen Covey helps people become more effective when dealing with the significant challenges of life. In details, Stephen Covey provides guidelines for managing time and balancing studies, social life, job, and other priorities. The first three habits are focused on personal victories. They teach how to develop self-mastery and dependence. Those three habits are: Be Proactive, Begin with the End in Mind, and Put First Things First. Habits four, five, and six address interdependence, the success in working with others. Habit four: Think Win-Win, habit five: Seek First to Understand, Then to Be Understood, and habit six: Synergize. The seventh habit: Sharpen the Saw, talks about building

Schweyer further stated that in “using manipulatives in teaching mathematics will help students learn to relate real world situations to mathematics symbolism, work together cooperatively in solving problems,

The main I had was about no work ethic and I am talking about no work ethic Is no motivation and no excuses the best way to not have no work ethic In life Is to not have a lack of laziness and no motivation , make’s np goal’s In life at all . For a example to get a good job you would need to have motivation and have a goal Is like If you want It so bad Is like how bad do you really want that job . But however you would really need to have to have a good goal’s to reach that goal like for gas money or going to school everyday back and forth you will need to find a good cheap gas station and find the location where you could find the cheapest and how much would It cost. But meanwhile life Is to not have a lack of laziness and no motivation, make’s no goal’s In life at all .You need to have motivation but no motivation Is like you need to have motivation is what pushes us to achieve my goal’s and feel more fulfilled and Improve overall quality of life to risk . For a example no work ethic is like to mot achieve the desire to improve or to meet your certain standards or no you need to have a certain task. But however also you need to have a challenge In life and perceived satisfaction of performing the action of having a good goal and to have Intrinsic motivators having fun being Interested to have personal challenge . But meanwhile Different people are motivated by different things and at different times in their lives. Good resources I found was positive work ethics

Remember being taught something new in a mathematics class and thinking to yourself, “when am I ever going to use this in life?” Sure, not every mathematical theory taught in class will be used in your career, but from my experience, many of the skills learned in mathematics are frequently utilized each day. While mathematics may not be everyone’s favorite subject, I found it to be not only the subject I use the most outside of school, but the one that I enjoy the most, which is why mathematics is my favorite subject.

In 1912, the “unsinkable” ship Titanic ruptured its hull on a large iceberg, causing a completely unexpected disaster that shocked the world. Looking at this iceberg, or any other for that matter, the average observer likely draws the conclusion that what he sees is a good portion of the entire slab of frozen water. However, the observer only sees about 10 percent of its entirety: in order to view the whole iceberg, he must look below the surface to understand how such a seemingly “small” iceberg could sink a such a huge ship. And just as any observer should look deeper in order to understand the sinking of the Titanic, I did the same with mathematics when I read Taming the Infinite: The story of mathematics from the first numbers to chaos theory. Never before had I even considered the ideas discussed in the book written by Ian Stewart. What I found within ruptured a mental hull in brain, allowing the history of math to flow into my mind. Before reading the first two chapters, I had always assumed that I had a fairly decent grasp of math; however, after completing the assignment I realized the vastness of its history which reaches into depths I’d never enter into otherwise.

Problems are a part of everyday life. Both humans and animals experience problems and seek to find solutions to them. These problems can range from basic survival problems such as getting food and water, to more complex and sometimes moral problems such as should someone receive a liver transplant having been a long term alcoholic. Duncker (Translated by Lees, 1945) defined a problem as having a “goal but… not know[ing] how that goal is to be reached”. This is where problem solving comes into play; every problem has a solution but finding it is the ultimate goal. While some problems are linear and must be solved in only one way (as most math problems do), many other problems allow for a variety of approaches. The art of problem solving however is learning techniques that best suit the situation the problem has arisen in and recognising that there is a good chance this problem has arisen before just in a different context. How problem solving can be used in everyday life is the subject of this essay. A variety of problem solving theories will be discussed and applied to everyday problems, including personal experiences and retrospectively and hypothetically approached and solved in a different way.