TOK Connection: Sequences and Series by Mariel Atregenio https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea G11 IBDP MAA(September 14, 2021) en-us 2021-09-20 10:34:51 UTC 2022-01-15 23:45:33 UTC hello@padlet.com TOK Question (Please cite references should you have consulted any.) iteachmathsmariela https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1753551919 What is the use of intuition in mathematics?

Please make sure to include your name (e.g., Mariel A.) in your answer before posting it. ]]> 2021-09-20 10:34:51 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1753551919 Instructions iteachmathsmariela https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756160131 Please click on (+) icon to post your answers, guys. Comment on your classmates' answers too. Thank you.]]> 2021-09-21 05:24:54 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756160131 https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756240525 (Julian V.) Intuition is the "ability to understand or know something immediately based on your feelings rather than facts." I believe intuition is important in math because manipulating and solving complex problems usually demands varying approaches. If you're experienced enough at solving equations, you would likely gain a certain degree of intuition that would notify you if you're pursuing the correct approach.

Source:
Intuition (2021, September 15) Retrieved on 9/21/21, from https://dictionary.cambridge.org/us/dictionary/english/intuition
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]]> 2021-09-21 06:20:55 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756240525 Nate's response https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756305668 According to Merriam-Webster, intuition is "the power or faculty of attaining to direct knowledge or cognition without evident rational thought and inference". I believe that intuition is used in math when being faced with any given problem. In class, we are taught the skills that we need in order to solve mathematical equations and expressions. When we go out and practice solving problems or do so in exams, intuition is what leads us to be able to solve these problems. By just looking at the equation/expression presented to us, we are able to determine what skills we need to use to solve these problems. Without much thinking, intuition is what leads us to realize what skills to use at first glance.

Source:
Intuition. (September 21, 2021). Merriam-Webster. Retrieved on September 21, 2021, from https://www.merriam-webster.com/dictionary/intuition]]> 2021-09-21 06:58:09 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756305668 Eio https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756404999 The us of intuition in mathematics is that we as students of mathematics use intuition to solve problems despite the absence of formal instruction on the topic. As by now we should have substantial amount of knowledge to solve certain equations.]]> 2021-09-21 07:48:29 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756404999 Billy https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756489200 I think it all goes back to the concepts that you have learned from previous lessons and applying it to whatever equation you need to solve for. This is where intuition is used because sometimes there are equations that seem to be unsolvable but in fact, it can be solve if you can apply methods that you have learned to get the answer.]]> 2021-09-21 08:30:08 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756489200 Yancy T. yancy_tavares https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756589457 Intuition is "the power or faculty of attaining to direct knowledge or cognition without evident rational thought and inference". It's developed through practice. When we look at a problem, it allows us to give an initial impression on what skills and what steps we have to take in order to solve it. Our intuition is able to cover the bases and allows us to direct our focus towards less basic applications towards the problem. Intuition is especially important in harder problems, where the majority of our focus requires us to look outside the box. Having the skill to not think too hard and waste time on the basics help.

Bibliography:
Intuition. (September 21, 2021). Merriam-Webster. Retrieved on September 21, 2021, from https://www.merriam-webster.com/dictionary/intuition]]> 2021-09-21 09:20:46 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1756589457 Edward edwardlizares https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1758652022 I think the use of intuition in math is to allow us to figure problems out without really knowing the exact process initially. It comes from applying our deep understanding of math topics and how the "numbers work" to come up with a process we haven't learned yet or wouldn't have known without intuition. Like Carl Fredrich Gauss, he used his understanding of numbers to realize a creative process to pair up numbers on opposite ends. ]]> 2021-09-22 00:39:31 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1758652022 Sof R. https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1759167614 The use of intuition in math is for us to be able to apply the topics/methods we have learned to other similar math problems immediately. This can be further developed by practicing on different equations with different difficulty levels. As well as a good understanding of the topic. Its important for students to have intuition as this will allow us to solve different problems that require different formulas and different processes efficiently and effectively. ]]> 2021-09-22 06:21:01 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1759167614 Hannah https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1762420723 I think that the use of intuition in math is that it helps us solve unfamiliar problems. After learning about specific concepts, this knowledge can be applied to unfamiliar situations. Even if we do not have a full grasp or understanding of how to solve these problems, our intuition allows us to figure out steps in solving the problems based on our previous knowledge on the patterns and rules of certain concepts.]]> 2021-09-23 08:45:14 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1762420723 Sam S. https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795198421 Intuition is knowledge that appears from the unconscious mind. Intuition is applicable in mathematics as it allows us to solve problems quicker and apply familiarity into unfamiliar situations. This comes with a lot of practice and a deep understanding of different mathematical concepts.]]> 2021-10-06 03:18:06 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795198421 Sachi D. https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795261077 Intuition is the ability to understand something, without the need for conscious reasoning and is based usually on one’s own knowledge feeling of a situation. In math, we often use our intuition in problem solving and analysis so that we are able to solve problems without much instruction. It also helps us analyse unfamiliar problems and concepts so that we can grasp how to solve them to the best of our ability.]]> 2021-10-06 03:45:43 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795261077 Pullman https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795446088 Intuition is a necessary part of math, since it saves time. It is difficult to have to remember and try out each formula or concept on a problem, and that takes up a lot of time. Instead, you make an educated guess as to what you need to answer the problem.]]> 2021-10-06 05:28:48 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795446088 Lya H. https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795482145 Intuition is used in mathematics probably in a way that it allows us to know/figure/solve things unconsciously even if they seem unfamiliar to us. Given that math is full of patterns, usually there are problems that may seem very different from one another, yet you can solve them using the same approach.]]> 2021-10-06 05:50:27 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795482145 Carlos D. carlosdedios https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795966372 According to psychologytoday.com, "intuition is a form of knowledge that appears in consciousness without obvious deliberation." It is "a faculty in which hunches are generated by the unconscious mind rapidly sifting through past experience and cumulative knowledge".

By using intuition in Mathematics, we students can identify patterns and observations learned from previous encounters or lessons to deconstruct seemingly difficult problems, even when provided with little to no context.

Source: psychologytoday.com. (n.d.). Intuition. Retrieved from psychologytoday.com: https://www.psychologytoday.com/us/basics/intuition]]> 2021-10-06 10:03:33 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1795966372 Patricia M. patriciamendoza1 https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1800306698 Intuition. “The ability to understand something immediately without conscious reasoning.” as defined by Oxford Dictionary. This can be applied to mathematics as well. Sometimes, one could get the answer without needing to dive deep into the problems. They can get this by either observing patterns, remembering what they’ve seen before, and looking at a topic from a different angle. It is useful, and can help save time for certain problems. If one is in a rush and cannot spend a lot of time on one problem, they can identify patterns in their workings and their previous work, and use that as a reference instead. ]]> 2021-10-07 15:58:01 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1800306698 Sami https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1801585249 I think intuition is used in math to help initially solve unfamiliar problems by applying previous knowledge of related concepts before ever being educated on the specific problem]]> 2021-10-08 03:26:50 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1801585249 Andrea L. https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1803134477 I think we can use intuition in math when we're trying to solve unfamiliar problems or apply concepts we already know in situations where we may not be so sure of ourselves. ]]> 2021-10-08 18:25:25 UTC https://padlet.com/iteachmathsmariela/s45jfms7gbic0yea/wish/1803134477