...Math History Essay Math is a subject I enjoy doing. Every day when I come home from school, it is the very first thing I do. Math is by far my favorite subject. It is more exciting than memorizing facts or writing an essay. Math involves thinking and solving, and I like to think through and solve problems. Even though math is not my strongest suit, I still enjoy doing anything related to it. Interest in taking Pre-Cal began during my freshman year. Two years ago, I took Geometry and fell in love with it. I enjoyed everything from proofs to finding the area of a shape. I remember people complaining how difficult Geometry was and thinking the exact opposite. By the end of freshman year, I was sad that Geometry was coming to an end. However, I was informed that Pre-Cal is similar to Geometry and is offered my junior year. Ever since then, I could not wait for Algebra 2 to be over. I also decided to take this class because it will build the foundation needed for Calculus the following year. To be successful in Pre-Cal this year, I will try my best to spare time to review notes I took the day before. I will also spend time with a study group so I can get advice by my peers. Whenever I have unanswered questions and cannot contact a teacher, I can rely on my friends who can explain and guide me along the right answer. As a teacher, you can walk around the class when there is extra time to do homework to easily answer questions that I may have regarding the assignment. Each...
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...objects – what do the students already know? Are there any misconceptions?- Using large versions of various 3D shapes, identify each object. Discuss the features of each shape e.g. faces, edges etc. - As a class, place the objects into groups based on similar features. Ensure students use reasoning for placing shapes into a certain group | - Students are already familiar with recognising and describing 3D shapes from stage 1 | Working mathematically MA2-1WM,MA2-3WM | EnglishEN2-1A | Visual Auditory/ linguistic | 2 | Measurement and GeometryMA2-14MG | - Discuss features of 3D shapes describing similarities and differences – focus on language e.g. faces, vertex, base, side, flat/curved surface- Students draw/sketch a rectangular prism in maths books and label as much as they can e.g. sides, edges, faces, vertex etc. Students continue to draw as many 3D shapes as they can - Discuss 3D object in a variety of contexts e.g. buildings, packaging | - Students are familiar with the names and some features of 3D shapes | N/A | EnglishEN2-1A | LinguisticVisual/ spatial |...
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...APPEARED IN BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 30, Number 2, April 1994, Pages 161-177 ON PROOF AND PROGRESS IN MATHEMATICS WILLIAM P. THURSTON This essay on the nature of proof and progress in mathematics was stimulated by the article of Jaffe and Quinn, “Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics”. Their article raises interesting issues that mathematicians should pay more attention to, but it also perpetuates some widely held beliefs and attitudes that need to be questioned and examined. The article had one paragraph portraying some of my work in a way that diverges from my experience, and it also diverges from the observations of people in the field whom I’ve discussed it with as a reality check. After some reflection, it seemed to me that what Jaffe and Quinn wrote was an example of the phenomenon that people see what they are tuned to see. Their portrayal of my work resulted from projecting the sociology of mathematics onto a one-dimensional scale (speculation versus rigor) that ignores many basic phenomena. Responses to the Jaffe-Quinn article have been invited from a number of mathematicians, and I expect it to receive plenty of specific analysis and criticism from others. Therefore, I will concentrate in this essay on the positive rather than on the contranegative. I will describe my view of the process of mathematics, referring only occasionally to Jaffe and Quinn by way of comparison. In attempting to...
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...The history of Geometry started in Ancient Egypt around 3000 B.C.E. Egyptians used an early stage of geometry when surveying the land, construction of pyramids, and astronomy. And around 2900 B.C.E. they began using their knowledge to construct pyramids with four triangular faces and a square base. It was created because it was a collection of empirically discovered principles concerning lengths, angles, areas, and volumes, which were developed to meet some practical need in surveying, construction, astronomy, and various crafts. It was used in Babylonia and in the Indus Valley by the Egyptians, Babylonians, and the people of the Indus Valley but the creators were Pythagoras, Euclid, Archimedes, and Thales. Pythagoras was the first pure mathematician although we know little about his mathematical achievements. He was also, a greek philosopher and created a movement called Pythagoreanism. Euclid is sometimes called Euclid of Alexandria. He is also called the “Father of Geometry” and his elements were one of the most influential works in the history of mathematics, which served as a textbook used for teaching mathematics (especially Geometry) from when it was published till the late 19th century to early 20th century. In the Elements he included the principles of what is now called Euclidean Geometry. Euclidean Geometry is a mathematical system and consists of in a small set of appealing postulates that are accepted as true. In fact, Euclid was able to come up with a great...
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...50 Excellent Extended Essays Alhazen’s Billiard Problem © International Baccalaureate Organization 2008 1 50 Excellent Extended Essays Alhazen’s Billiard Problem 2 © International Baccalaureate Organization 2008 50 Excellent Extended Essays Alhazen’s Billiard Problem © International Baccalaureate Organization 2008 3 50 Excellent Extended Essays Alhazen’s Billiard Problem 4 © International Baccalaureate Organization 2008 50 Excellent Extended Essays Alhazen’s Billiard Problem © International Baccalaureate Organization 2008 5 50 Excellent Extended Essays Alhazen’s Billiard Problem 6 © International Baccalaureate Organization 2008 50 Excellent Extended Essays Alhazen’s Billiard Problem © International Baccalaureate Organization 2008 7 50 Excellent Extended Essays Alhazen’s Billiard Problem 8 © International Baccalaureate Organization 2008 50 Excellent Extended Essays Alhazen’s Billiard Problem © International Baccalaureate Organization 2008 9 50 Excellent Extended Essays Alhazen’s Billiard Problem 10 © International Baccalaureate Organization 2008 50 Excellent Extended Essays Alhazen’s Billiard Problem © International Baccalaureate Organization 2008 11 50 Excellent Extended Essays Alhazen’s Billiard Problem 12 © International Baccalaureate Organization 2008 50 Excellent Extended Essays Alhazen’s Billiard Problem © International Baccalaureate Organization...
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...Student Success Plan This personalized Student Success Plan will help you reflect on past positive accomplishments you have made as a student and obstacles you have faced and overcome in previous terms. Once you identify your current status, you will analyze what you want to accomplish and how you will get there. You will also see that you are not alone on your educational journey. Your instructor is committed to helping you succeed in addition to the many resources provided by Everest. By completing the information below, you are taking accountability and responsibility for your own success! The Student Success Plan is an effective tool that you should complete for each of your courses at the start of every term. Click in each box and type your responses. Student Information: Student’s Name | Course and Section Number | Program of Study | | | | Reflection on your past experiences as a student: Positive accomplishments in previous term(s) | Obstacles faced in previous term(s) | Ways you overcame the obstacles | | | | Analyze your strengths and motivations: Diagnostic questions: | Responses to the questions: | Your commitment and how you will apply it: | What strengths or personal characteristics do you possess that will help you succeed as a college student? | | | What is your biggest motivation for completing your college education? | | | What is your ultimate goal as a college student? | | | What is one goal you want...
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...Topic Area | Detail & Examples | Date Reviewed | Investigations | Variables, hypothesis, graphing, conclusions | | | Physical properties | Solubility, magnetism, boiling & melting points, | | | Mixtures | Easily reversed, not chemically changed, no new sunstance, properties of componenets remain | | | Solutions | Solute, solvent, saturated solution | | | Separation techniques | | | | Chromatography | Solvent & solubility | | | Filtration | Size, dissolved substances | | | Distillation | Evaporation, boiling points, condensation | | | Classification | K,P,C,O,F,G,S – Species and scientific names | | | Dichotomous keys | Classification using characteristics | | | Adaptations | How adaptations benefit species living in their environment | | | Food chains / webs | Producers, Consumers, decomposers, energy | | | Ecology and human impact | Effect of human activity on species | | | Food pyramids (of numbers) | Pyramids of numbers only | | | Q1. Gravy powder contains: • a brown substance to make the gravy brown; • cornflour to make the gravy thick. Dan mixed some gravy powder with cold water in a beaker. An hour later, the contents of the beaker looked like this: (a) Use the words in the list below to fill the gaps in the following sentences. solvent solution soluble insoluble The brown substance dissolves in water to form a brown...
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...The central idea the of two texts is frequently shown throughout a brain research article. In text A, “Gut Math” tells the difference between “formal math” and “gut math”, while text B, “Animal Arithmetic” focus on providing examples of animals using “‘gut math.” Both of texts tried to proves humans and animal are born to do math in many different ways. As kids grow up they learn what math is and slowly start to dive into basic math eventually evolve into algebra, calculus, and geometry. However, text A “Gut Math” states in paragraph 3,” What does comes naturally though is the ability to approximate.” Meaning that the ability to approximate is part of the brain since birth. Therefore, there are two separate mathematics areas of the brains, one of which is “formal math” that’s what taught in school, and “gut math” an inborn...
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...At times, thoughts of walking away crossed my mind due to the short amount of time. It was as if I was fighting an inner war with myself. However, once I started writing the essays it became something easy and natural for me. I was able to finish both essays on time and I felt as I won to my other side who said that I was not capable. After a few weeks, the test results were posted and to my surprised I passed the CBEST and got a high score on the writing section. I was very happy and realized that I needed to start believing in myself and not to let negativity stop me from reaching my goals. Now I enjoy writing and mostly I’m not afraid to...
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...Fixed and Growth Mind Sets As students growing up, we tend to get fixated on classes we like and dislike. The essay “The Perils and Promises of Praise,” by the author Carol S. Dweck explains that the mind has two different mind-sets. Those are fixed mind-set and growth mind-set, which explains the different ways we think about our intellectual abilities and how well we will do in our classes. A person with a growth mind-set believes that they are able to expand their intellectual ability by putting in effort (Dweck 7). People with this mind-set are willing to work hard and struggle with difficult tasks because in the end they will have completed that task and be successful (Dweck 12). A person with a fixed mind-set believes that they only have a certain amount of intellect, and that it cannot change (Dweck 6). When a person with the fixed mind-set is confronted with a difficult task, they usually give up or resort to cheating to pass (Dweck 10). Educators commonly believe that praising students' intelligence builds their confidence and motivation to learn (Dweck 9). After reviewing the differences between fixed mind-set and growth mind-set, I figured that reading and writing is the subject where I have a fixed mind-set, math class is the subject where I have a growth mind-set. Some people assume that intellectual ability is a fixed trait, that either they are smart or not so smart. When students become aware of the plasticity of the brain and being able to shape their intelligence...
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...7/29/12 UNIV103, Unit 2 IP Ghosts of Educations past Coming back to school after so long was daunting, but I could not have been happier for making the choice I have. In my first course I have been asked to complete an exercise called the MFL Path Builder. As I worked on this request I found I remembered much more than I thought I would, and forgotten just as much. There are three basic topics that include Writing, Reading, and Math. In high school I was very good at math, but I found I am just a little lacking in memory of all the rules math requires. Whereas I never excelled at English in high school; but was pleasantly surprised when I mastered 3 out of 4 modules in Reading. Oddly enough though in Writing, I completely tanked. After finding out just how much I have remembered and forgotten after so long, I find I am very anxious to get started on all the topic’s contained in each module. I started my IP by setting aside time to myself each night to focus on completing the MFL Path Builders. After completing the path builders for each topic I believe it did just what it should have done. It showed me just what I need to re-learn and catch up on. I feel that this tool was made to help new students that have been out of school for a long time; succeed in their education, and give us the same chances as those students who have just gotten out of other educational programs. I was pleasantly surprised buy the tool this program has given me and my chances to...
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...Testing with success series The Essay Exam Organization and neatness have merit Before writing out the exam: ▪ Write down their key words, listings, etc, as they are fresh in your mind. Otherwise these ideas may be blocked (or be unavailable) when the time comes to write the later questions. This will reduce "clutching" or panic (anxiety, actually fear which disrupts thoughts). Set up a time schedule to answer each question and to review/edit all questions ▪ If six questions are to be answered in sixty minutes, allow yourself only seven minutes for each ▪ If questions are "weighted", prioritize that into your time allocation for each question ▪ When the time is up for one question, stop writing, leave space, and begin the next question. The incomplete answers can be completed during the review time ▪ Six incomplete answers will usually receive more credit than three, complete ones Read through the questions once and note if you have any choice in answering questions ▪ Pay attention to how the question is phrased, or to the "directives", or words such as "compare", "contrast", "criticize", etc. See their definitions in "Essay terms" ▪ Answers will come to mind immediately for some questions Before attempting to answer a question, put it in your own words ▪ Now compare your version with the original. Do they mean the same thing? If they don't, you've misread the question. You'll be surprised how often they don't agree...
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...Compare and Contrast Essay 5/12/2014 Ashford University English 121-AXC1415E Instructor: Jamie Cooper Student: Katherin Wheat When it comes to writing the compare and contrast essay style, it is one of the more difficult ones to achieve. The differences between these two essays “How to say nothing in 500 words” by: Paul McHenry Roberts and “caged bird” by: Maya Angelou is easy to pick out. As far as the similarities goes that proved to a little harder to give a lot of examples. In the following paragraphs there will be plenty of examples of compare and contrast, give summaries, a couple of quotes and a paraphrase will be included in this essay. While how to say nothing in 500 words and Caged Bird are both well-written essays, caged Bird was more visual than How to say nothing in 500 words because the author painted a more detailed picture which kept the reader’s attention, the attended audience was more overly open to more people than that of how to say nothing in 500 words essay, and the author of caged bird had a bigger and deeper impact on the readers then the author of how to say nothing in 500 words did. Caged Bird was more visual than How to say nothing in 500 words because the author painted a more detailed picture which kept the reader’s attention. Maya Angelou’s descriptive essay “Caged bird” tells a story of a caged bird and a free bird. The caged bird signifies a person with the skin color darker than that of a peach colored crayon, held down by the paralyzing...
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...Below is a free essay on "Free of Charge" from Anti Essays, your source for free research papers, essays, and term paper examples. Free of Charge! By: Ronie A Tejano One night while I was writing my lesson plan, my nine year old daughter approached and enthusiastically showed me her report card with a one-fourth sheet of pad paper inserted in it. As a teacher and a father, my heart leapt up with pride, when I read the excellent grades on her report card. Wow! You’re excellent, I exclaimed while hugging her. “Yes I know but you must read the important paper that I inserted in there.” She said insistently. These she wrote: For getting 95 in English you must pay ----------P25 pesos For getting 97 in Math you must pay ----------P25 pesos For getting 96 in Science you must pay----------P25 pesos For getting 97 in Pilipino you must pay ----------P15 pesos For getting 98 in Christian Living you must pay-P10 pesos So you owe me----------- ------------------------P100pesos I remained speechless for few minutes and felt my heart started to melt. I reflected for a moment and then wrote my reply at the back of same paper. For fetching water for your bath - no charge, For ironing your school uniform – no charge, For combing your hair – no charge, For providing you food – no charge, For what I did, I do and will be doing to you - free of charge! Total amount - P143 with all my heart! I gave her back the paper and continued...
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...The Essay Exam Organization and neatness have merit Before writing out the exam: Write down their key words, listings, etc, as they are fresh in your mind. Otherwise these ideas may be blocked (or be unavailable) when the time comes to write the later questions. This will reduce "clutching" or panic (anxiety, actually fear which disrupts thoughts). Set up a time schedule to answer each question and to review/edit all questions If six questions are to be answered in sixty minutes, allow yourself only seven minutes for each If questions are "weighted", prioritize that into your time allocation for each question When the time is up for one question, stop writing, leave space, and begin the next question. The incomplete answers can be completed during the review time Six incomplete answers will usually receive more credit than three, complete ones Read through the questions once and note if you have any choice in answering questions Pay attention to how the question is phrased, or to the "directives", or words such as "compare", "contrast", "criticize", etc. See their definitions in "Essay terms" Answers will come to mind immediately for some questions Before attempting to answer a question, put it in your own words Now compare your version with the original. Do they mean the same thing? If they don't, you've misread the question. You'll be surprised how often they don't agree. Think before you write: Make a brief outline for each question Number...
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