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Accuracy: precise solution, which will motivate to make a right decision.Save time: Everything has to deal with time. A person will gain benefit if he can save the time wiselySpeed and calculation would just be the same. He will have to calculate how much work he needs to be done in a certain duration.Computer graphics are so precise that it needs a precise measurement.
Thinking…Is widely used in the worldSolve complicated projects or situationsIn general, math is not logical. There is always at least a solution for problemsIt would need several practices. However, certain people such as Einstein, is a math genius.
Children can solve approximate addition or subtraction Do not need to master the symbolic and arithmeticAdults, children and infants have a sense of numberExact symbolic arithmetic takes years to learnThey are able to solve + or - problems involving large numbers even before they have been taught arithmetic.Children response the questions with their number sense when they are presented in symbolic arithmetic even they are not taught place value or exact addition facts.Even though children are not taught symbolic addition and subtraction, they still perform well on the tests without guessing.New findings suggest us that symbolic arithmetic will be difficult for children and it will take years to learn.Teachers are concerned that children would be frustrated but amazed at children’s success and engagement.
Influence AttitudeEffort and beliefsBuild on what they already knowParents are the one who can either encourage or discourage kids the most. Children can either have a good influence or bad influence from parents easily.A positive attitude is required in learning, overall, it is required no matter where.Hard work and several practices are required during Math lessons. Several practices such as knowing well on theory and formulas.Young children have a sensitivity to small numbers.
Of course, Math is important to children.Budgeting money won’t be necessary for children. However, it will be important in future.Memorizing phone number is important to children. Emergency can be happened anytime.Estimating distances as well as estimating time need to be understood because it is asked everyday.Learning is most effected in younger age.Math numbers are even related to art (musical instrument notes)Problem solving Budgeting money Time management Calculating tips and tax Memorizing phone numbers and locker combinations Estimating distances or weightMusical instruments
According to Pennsylvania Academic StandardMathematical thinking and expression give studentsExploring, Processing and Problem Solving.http://www.portal.state.pa.us/portal/server.pt/gateway/PTARGS_0_251851_768048_0_0_18/021210ECE%20GI%20Standards%20presentation%202010.ppt
ExploringPatterning is a math concept that we see in everyday routine such as clothing.Creating and Identifying patterns are the introduction of Math in pre school.Using objects around the child’s environment would bring him/her a clever start of mathematical thinking.Examples of Patterns: Shoe prints during snowZebras stripes
Problem SolvingInvolves a variety of skillsChildren can use the information from what they learned and apply it in different situations.Skills, abilities and learning styles can make a person varies at problem solving.Understand the problem, such as “ what type of answer do you expect?” “what are you asked to find?”“Can you draw a picture, a diagram, or an illustration?”Devise a plan, for a question like “draw a picture”, then we need to illustrate relationships between given facts and information that can’t be described easily in either word or numerical form.Carry out the plan, students decide whether to keep the original strategy or to conduct another strategy.Look back, also means to check. “Is the answer reasonable?” “Does the answer make any sense?”
To use logical thoughtTo formulate problemsTo make deductions from assumptionTo use advanced conceptsIn career, it does not always happen as the way we expected. For example, speaking of engineering, it sounds easy but it requires a lot of creation, intelligence and brain storming.Formulating problem does not only exist in engineering field but it is also required in financial/economic field such as Gaussian copula function.Advanced concepts are necessary while building big blocks such as airports, football stadium, bridge, air crafts, cars,…etc.Nowadays, technology is much more advanced. Everything is related to math and math is used in every seconds.
Above popular careers are all based on math, meanwhile, they also require brain storming.Mostly, children who dislike math will think that why they have to do with math in real life. By providing interested careers would affect them in liking of math. Therefore, it is good in their future.Those are all popular careers with high salaries. Nonetheless, designers need to scale and graph for their products.However, many math related careers usually have high salaries. In the mean time, people in those fields are stressful but their working environment is much better than any others.
Google Office in Zurich, Switzerland
Google hires world class chefs in the company. They cook for whatever the employees like.
Apple is one of the fewest companies that had profit in 2009 while many other companies met bankruptcy in 2009The last product I pad had one million sales in 28 days, which took 74 days to reach the one million sales milestonehttp://business.timesonline.co.uk/tol/business/industry_sectors/retailing/article7115024.ece
Teacher interaction1. Able to stay with one small group2.Able to offer immediate feedback3. Less students in class, more teacher attention4. Less students, less noise.5. Quiet and more concentration
review and practice what they have learned prepare for the next day's class use resources, such as libraries and reference materials investigate topics more fully than time allows in the classroomMath homework had been my most annoying one and my favorite one. It is annoying because the problems are not all the same. Unlike history, a student cannot memorize everything to answer. In math, they need to think in order to answer.Moreover, math always requires a precise answer.
Know how to handle moneyTelling timeCookingSharing thingsTelling temperatureIn everyday life, though children will not like math but they still understand doing the facts listed above.Younger children can understand why it's important to know how to measure how tall something is or how heavy it is, and they can usually understand how to do things like wallpapering or hanging window shades call for knowing how to measure.
ChildrenCaused by starting with practiceAnd started by a bunch of skills called ArithmeticE.g. a traditional teacher would say “Your answer is right but your method was wrong: you should add the two 5’s to make a 10; then write down the 0 and carry the 1, and then add it to the other two 1’s.”The cause will not only lead them to dislike Arithmetic, but can also lead them to dislike to everything else that relates to technology.Nowadays, math is mainly composed of Arithmetic, Geometry, Algebra, and Calculus.
Kingda KaWorld’s tallest and fastest roller coaster on earth with the height of 3118 ft and duration of less than a minute. World Record speed at 128mph and elevation of 45 stories (456 ft) built by using math.
It always causes the children to fear math. If they fear math in such young ages, it will be hard to develop their skills in future.Teaching methods can often cause the children math anxiety. For instance, some instructors don’t allow students to solve the problems in different ways and the problems have to be solved by the way they teach.Some students are just lazy to memorize formulas, which makes them failing in the exam.
In order to be understood, teaching techniques must be changed.Math classroom should have a positive atmosphere Many students are willing to participate in classroom activities such as cards, dominoes, and yahtzee. Also in household activities such as sewing, cooking, and home repairs. They all use measurements and problem solving skills.Practice always get betterGroup work can have different solutions and different ideas. It will allow to solve the problems effectively.
Communicationmeans speaking with children and listening to them.When children talk, it helps them think about what they are doing and makes their own thoughts clearer. As a bonus, talking with children improves their vocabulary and helps develop reading skills as well. Reading children's books thatrepeat, or have numbers in them (available at your local library) is a great way to communicate using mathematics.Communication does not have to be in words. We can represent math in ways other than talking. For instance, children can make diagrams or draw pictures to solve problems or represent numbers.
Reasoning is used to think through a question and come up with a useful answer. It is a major part of problem solving. First askchildren questions and give them time to think about the answer. By simply asking questions and listening to answers, it helps children learn to reason.Ask children to figure out why (why something is the way it is) and then check out their ideas. Let them think for themselves, rather than try to figure out what answer you want to hear.
A lot of mathematics have connectionsto other subjects like science, art, and music. Most importantly, math relates to things we do in the real world every day. Connections make mathematics easier for children to understand because they allow children to apply common rules to many different things.Ask children to think and solve problems that arise in everyday activities. For example, ask children to help you put the groceries away. They will practice sorting—the cereal boxes and the soup cans.Look for mathematics in your everyday life and don't worry about what the particular aspect of mathematics might be. Something as simple asactivity that actually involves estimation, measurement, and spatial sense.
Younger children need parents’ attention. Parents are also important in children’s homework. They can also help their kids and give them confidence.For example, parents can help setting a time for children or schedule. I understand that kids like to play and don’t want to do homework. Study environment is also important. If the study environment is near noisy places, it will effect the children greatly. Therefore, parents can find somewhere silence or quiet place.Nobodycan be doing well without guidance. Parents who have a lot of experience can lead the kids in better ways by guiding correctly.
Calculating FinancesMarketing, stocks, profitsUnderstanding Spatial Relations (http://www.newhorizons.org/spneeds/inclusion/teaching/stockdale.html)Qualities like size, distance, volume, order, and timeIf someone failed to understand social problems (related to spatial understanding), their relationships with teachers can be difficult, poor behavior, fail to understand other peopleMeasuringWeight, height, speed, distanceMemorizationFormulas, theory, notes,etc
Tokyo Stock Exchange (picture), Nasdaq in New York city
David Li (Gaussian copula function)The Gaussian copula function has made surplus amount of money for investors and it also caused the market breakdown Reason why it killed wall street was bond market, which allowed trillions of dollars in profits from David Li’s copula function.Math has certainty.* Investors like risk as long as they can price it. What they hate is uncertainty (not knowing how big risk is).The reason why I want to tell about this is that math can either help or ruin.
Mainly caused by George Soros (a speculator)However, Speculation is irrelevant to the project but one of the reason that caused the crisis was financial systems.Calculating financial systems is counted as one of the math skills
Isaac Newton defined laws of motion and universal gravitation. http://www.lucidcafe.com/library/95dec/newton.html
Homicide investigations require police to estimate the victim’s time and death, taking into consideration such factors as climate and body temperature.Crime involving firearms require mathematics skills for ballistics to determine trajectory and distance.
Forensic scientists collect and analyze physical evidence collected at crime scenes such as analysis of DNA and other physical evidence. They require not only strong knowledge of chemistry and biology, but math skills as well.http://www.ehow.com/about_5463177_math-criminal-justice-related.html
Stats principles:Probability as useful tools in criminal profiling. Police chiefs use statistics collected from officers’ report to determine the crime rates. In addition, criminologists use statistical skills to study the effectiveness of criminal justice programs and analyze crime rates.
Still require MathBecause they prepare you for college-level workEvery major requires basic math courseSomestudents go to college and some do not but math course is required no matter what.College is the place where it trains people to have experiences and prepare for careerEven though a person who majors in History, Music and Language, he is still required to take math class.
Importance of Math and Children<br />AungNyein (Andrew Wu)<br />
Overview<br />Thesis<br />Personal Relevance<br />Introduction<br />Math in Career<br />Math in Sports<br />Learning atmosphere<br />Math anxiety<br />Parents’ involvement<br />Math skills<br />Incidents related to Math<br />Math in real world<br />College<br />Application<br />Class Activity<br />Conclusion<br />
Mostly, people who are good at solving problems are the one who has a clear thinking, creative way and reasonable mind. In order to posses these skills, one should start practicing since his/her childhood. <br />Thesis<br />
Personal Relevance<br />Not because that I love math so much but also because we all are inescapable from Math. Math is related to the our lives in one way or another. Without Math, we can barely finish many procedures. Moreover, we all are using high tech nowadays, which relates to math in many different ways. <br />
Audience Relevance <br />Everyone in this class had a wonderful childhood once. However, most of us spent our childhood without really knowing the importance of Math and the existence of Math. Therefore, we should let the future generation knows what it is and takes advantage on it.<br />
From Math, we can have…<br />Accuracy<br />Save time<br />Calculation<br />Graphics<br />http://www.bangor.ac.uk/~mas010/imahob95.html<br />http://images.google.com<br />
In general, Math is…<br />“Pure mathematics is, in its way, the poetry of logical ideas.” (Einstein)<br />http://www.bangor.ac.uk/~mas010/imahob95.html<br />http://www.flickr.com/<br />
Math and Children<br />http://www.fas.harvard.edu/<br />
Problem Solving and Processing<br />Understand the problem<br />Devise a plan<br />Carry out the plan<br />Look back<br />http://www.education.com/reference/article/five-step-problem-solving-process/?page=3<br />http://www.flickr.com<br />
Math in Career<br />http://www.flickr.com/<br />http://www.bangor.ac.uk/~mas010/imahob95.html<br />
Why choose a math related career?<br />Popular<br />Engineer<br />Designer<br />Economist<br />Physician<br />Research scientist<br />Attorney<br />Statistician<br />http://www.math.ucdavis.edu/~kouba/MathJobs.html<br />http://www.flickr.com/<br />
Effects on class size?<br />Class size (15~20)<br />Close attention<br />Able to maintain commentary<br />Work is not neglected<br />General Classroom <br />http://www.jstor.org/stable/3202473<br />http://www.flickr.com/<br />
Homework can help children to…<br />http://smhp.psych.ucla.edu/hottopic/hottopic%28homework%29.htm<br />
Little Children who do not like math know how to handle money<br />http://images.google.com/<br />http://hubpages.com/hub/Why-is-Math-important-in-our-lives--My-daughter-ask-me-this-question-because-shes-not-very-good-in-math_<br />
What makes Math hard to learn?<br />“Students are being led to think that they dislike math when they actually just dislike whatever it is that they're being taught in math classes.” Phil Sung<br />http://web.media.mit.edu/~minsky/OLPC-1.html<br />
Math Anxiety<br />Causes children to fear math<br />Any age (students and adults)<br />Fail to understand <br />Cannot memorize mathematical concepts<br />Teaching methods<br />Causes<br />http://math-and-reading-help-for-kids.org/articles/Ways_to_overcome_math_anxiety.html<br />http://www.flickr.com/<br />
Math Anxiety<br />Overcome with understanding<br />Overcome with games<br />Practice<br />Group work<br />Diagnose <br />http://math-and-reading-help-for-kids.org/articles/Ways_to_overcome_math_anxiety.html<br />
Communication<br />Talk with children and listen to what they have to say<br />Reading children’s books<br />Represent math in ways other than talking<br />http://www2.ed.gov/<br />http://images.google.com<br />
Reasoning<br />Ask children questions and give them time to answer<br />Ask children to figure out why something is the way it is<br />Then check out ideas<br />http://www2.ed.gov/<br />http://www.set-routes.org/school/images<br />
Connection<br />Think and solve problems that occur in every day life<br />Look for every day math and let them not to worry about the aspect of it<br />http://www2.ed.gov/<br />
Parents involvement in homework<br />setting a regular time <br />choosing a place <br />removing distractions <br />having supplies and resources on hand <br />monitoring assignments<br />providing guidance <br />http://smhp.psych.ucla.edu/hottopic/hottopic%28homework%29.htm<br />
The Formula that killed Wall Street<br />Gaussian copula function, also known as a financial technology<br />Allow more ease and accuracy than ever before<br />Possible for traders to sell large quantities of securities<br />Expand financial markets to unimaginable level <br />Made people so much money<br />http://royeidelson.files.wordpress.com<br />http://www.portfolio.com/business-news/2009/03/03/Formula-That-Killed-Wall-Street?PMID=alsoin/A-Mathematical-Demise<br />http://i2.photobucket.com/albums/y24/jackneefus/1703_home-1.jpg<br />
East Asian Crisis 1997<br />A lack of enforcement of prudential rules and inadequate supervision of financial systems<br />Causes<br />http://www.mecon.gov.ar<br />http://www.imf.org/external/pubs/ft/fandd/1998/06/imfstaff.htm<br />
Some famous mathematicians<br />Albert Einstein <br />“God does not care about our mathematical difficulties. He integrates empirically.“ Einstein<br />http://cauchy.math.okstate.edu/~wli/teach/fmq.html<br />Sir Isaac Newton<br />http://images.google.com/<br />
Traffic accidents<br />Measurements<br />Calculation of speed and distances traveled<br />Points of collision<br />Math in real world<br />http://www.ehow.com/about_5463177_math-criminal-justice-related.html<br />
Importance of Stats…<br />Probability<br />http://www.ehow.com/about_5463177_math-criminal-justice-related.html<br />
Getting into College<br />http://www.collegeboard.com/<br />http://www.whplibrary.org<br />
Please see the packet<br />Lesson Plans<br />Age (9~11 years old)<br />Age (12~14 years old)<br />Application<br />
Class Activity<br />1. Please form a group of fours<br />2. Construct (draw) your dream room<br />3. Use the rulers, pencils, color pencils if needed, and a piece of paper<br />Sample Room<br />
Conclusion<br />From my project, I learned how to take care of kids with their homework, of course it is about math. It is not only about importance of Math but it is also about creating a better relationship among family members and friends by communicating well each other with a reasonable thinking. <br />Overall, thanks to my classmates and teachers for supporting such a good learning environment at Upper Merion.<br />
Work Cited<br />Bower, Bruce. “Math Discoveries Catch Kids Unawares.” Science News 155.1 (1999): 5. JSTOR. Web. 1 Dec. 2009. <http://www.jstor.org/stable/4011200>.<br />Anderegg, David. Nerds. New York: Penguin Group, 2007. Print.<br />Brown, Ronnie, and Tim Porter. “Why study Mathematics?” popmath.org.uk. N.p., 19 Mar. 1996. Web. 1 Dec. 2009. <http://www.popmath.org.uk/centre/pagescpm/imahob95.html>.<br />Chen, Sophy. “New Moon.” Teaching Junior High Math 11.3 (1995): 32. Web. 30 Nov. 2009. <http://proquest.umi.com/pqdweb?did=583476591&Fmt=3&clientId= 11783&RQT=309& VName=PQD>.<br />Facklam, Margery, and Margaret Thomas. The Kids’ World Almanac. New York: Pharos-Books, 1992. Print.<br />
Work Cited <br />Brown, Ronnie, and Tim Porter. "Why study Mathematics." Department of Mathematics . N.p., 8 Oct. 2004. Web. 24 May 2010. <http://www.bangor.ac.uk/~mas010/imahob95.html>. <br /> <br />Geiser, Traci. "Preschool Math: Exploring Patterns." http://www.education.com/ . Education.com, n.d. Web. 8 May 2006. <http://www.education.com/magazine/article/preschool-math-patterns/>. <br /> <br />Kouba, Duane. " Why Choose a Mathematics-Related Profession ? ." ucdavis. ucdavis, n.d. Web. 24 May 2010. <http://www.math.ucdavis.edu/~kouba/MathJobs.html>. <br />
Work Cited <br />Brown, Ronnie, and Tim Porter. "Why study Mathematics." Department of Mathematics . N.p., 8 Oct. 2004. Web. 24 May 2010. http://www.bangor.ac.uk/~mas010/imahob95.html.<br />"Why study Mathematics." Department of Mathematics . N.p., 8 Oct. 2004.Web. 24 May 2010. <http://www.bangor.ac.uk/~mas010/imahob95.html>.<br />Web link"Famous Mathematics Quotes." cauchy.math.okstate.edu. okstate university, n.d. Web. 24 May 2010. <http://cauchy.math.okstate.edu/~wli/teach/fmq.html>. <br />Frean, Alexandra. "Apple iPad tops one million sales in 28 days." Timesonline. N.p., 4 May 2010. Web. 24 May 2010. <http://business.timesonline.co.uk/tol/business/industry_sectors/retailing/ article7115024.ece>. <br />
Work Cited <br />Geiser, Traci. "Preschool Math: Exploring Patterns." http://www.education.com/. Education.com, n.d. Web. 8 May 2006. <http://www.education.com/magazine/article/preschool-math-patterns/>.<br />Hall, Shane. "How Are Math & Criminal Justice Related?" eHow. N.p., n.d. Web. 24 May 2010. <http://www.ehow.com/about_5463177_math-criminal-justice-related.html>.<br />"Homework as a Mental Health Concern." UCLA. School Mental Health Project-UCLA, n.d. Web. 24 May 2010. <http://smhp.psych.ucla.edu/hottopic/ hottopic%28homework%29.htm>. <br />
Work Cited <br />HW, Lisa. "'Why Math is Important in our Lives' - Things to Explain to Kids Who Ask." hubpages. N.p., n.d. Web. 24 May 2010. <http://hubpages.com/hub/Why-is-Math-important-in-our-lives--My-daughter-ask-me-this-question-because-shes-not-very-good-in-math_>.<br />"Kingda Ka." Advertisement. Six Flags. Six Flags, n.d. Web. 24 May 2010. <http://www.sixflags.com/greatadventure/rides/kingdaka.aspx>. <br />Kouba, Duane. " Why Choose a Mathematics-Related Profession ? ." ucdavis. ucdavis, n.d. Web. 24 May 2010. <http://www.math.ucdavis.edu/~kouba/MathJobs.html>.<br />Minsky, Marvin. "What makes Mathematics hard to learn?" OLPC MEMO-1. MIT, 16 Feb. 2008. Web. 24 May 2010. <http://web.media.mit.edu/~minsky/OLPC-1.html>. <br />
Work Cited <br />"Salary Survey for Employer: Apple Computer, Inc." PayScale. PayScale, n.d. Web. 24 May 2010. <http://www.payscale.com/>.<br />Salmon, Felix. " Formula That Killed Wall Street." Portfolio. N.p., 3 Mar. 2009. Web. 24 May 2010. <http://www.portfolio.com/business-news/2009/03/03/Formula-That-Killed-Wall-Street?PMID=alsoin/A-Mathematical-Demise>.<br />Staff, IMF. "The Asian Crisis: Causes and Cures." Editorial. International Monetary Fund. N.p., June 1998. Web. 24 May 2010. <http://www.imf.org/ external/pubs/ft/fandd/1998/06/imfstaff.htm>. <br />Stockdale, Carol, and Carol Possin. "Spatial Relations and Learning.” newhorizons. ARK Institute of Learning , 1998. Web. 24 May 2010. <http://www.newhorizons.org/spneeds/inclusion/teaching/stockdale.html>. <br />
Work Cited <br />"Flickr Photo Sharing." Flickr. N.p., n.d. Web. 24 May 2010. <http://www.flickr.com>.<br />Google Image. Google, n.d. Web. 24 May 2010. <http://maps.google.com>.<br />Zupek, Rachel. “10 jobs for math whizzes.” cnn. CareerBuilder, 26 Oct. 2009. Web. 1 Dec. 2009. <http://www.cnn.com/2009/LIVING/10/26/cb.ten.math.jobs/index.html>.<br />Shapka, Jennifer D, and Daniel P Keating. “Effects of a Girls-Only Curriculum During Adolescence: Performance, Persistence, and Engagement in Mathematics and Science.” American Educational Research Journal 40.4 (2003): 929-960. JSTOR. Web. 21 Nov. 2009. <http://www.jstor.org/pss/3699413>.<br />