Numerical Method Chapter 3

Analysis is a method of organizing, sorting, and scrutinizing data in such a way that a research question can be answered or meaningful inferences can be drawn. 4 2. Bibliography is a list of all the sources used in the process of researching. 3. Concept refers to a mental idea of a phenomenon. These are words or terms that symbolize some aspects of reality. e. g. love, pain. 4. Conclusion provides a summary of the research. 5. Data is an information that can be words or numbers. 6. Data Gathering Tools refer to the devices/ instruments used to collect data such as questionnaire or computer- assisted interviewing system. 7. Data Presentation involves the use of a variety of different graphical techniques. 8. Descriptive study is a research design that describes “what is”( e.g. a survey). 9. In-Text Citation is the brief form of the reference included in the body of one’s work. 10. Limitations are restrictions in a study that may decrease the credibility and generalizability of the research findings. 11. Literature review is a critical summary or research on a topic of interest, generally prepared to put a research problem in context or to identify gaps and weaknesses in prior studies so as to justify a new investigation. 12. Plagiarism is the unethical practice of using words or ideas of another author/researcher without proper acknowledgement. 13. Quantitative Research is the process of collecting and analyzing numerical data. 14. Questionnaire is a set of questions used to gather information in a survey. 15. Research Topic is a subject or issue that a researcher is interested in when conducting a research. 16. Respondents are those persons who have been invited to participate in a particular study and have actually taken part in the study. 17. Research Question is the question around which a researcher centers his/ her research. 18. Sample is a part or subset of population selected to participate in the research study. 19. Socio Demographic Profile includes age, sex, education, migration, background and ethnicity, religious affiliation, marital status, household, employment, and income. 20.Variables are attributes or characteristics that can have more than one value, such as height or weight. These are qualities or quantities, properties or characteristics of people, things, or situations that change or vary

Instructions: Please answer the following questions to test your understanding of aptitudes and interests. 1. What are Core Drivers (Talents) in the context of aptitudes and interests? a) Abilities that are developed through education b) Natural gifts that predict job effectiveness and contentment c) Interests that change over time d) Personality traits 2. Determine how effective and satisfied you'll be doing a particular kind of work. a) Visual Comparison Speed b) Numerical Reasoning c) Spatial Visualization d) Sequential Reasoning 3. Which Core Driver is associated with the knack for organizing things in a sequential and systematic manner? a) Visual Comparison Speed b) Numerical Reasoning c) Spatial Visualization d) Sequential Reasoning 4. What is the primary role of Space Planners in careers? a) They are responsible for interior design b) They read maps and blueprints c) They generate creative ideas d) They manage financial accounts 5. Which Core Driver relates to the ability to mentally translate two-dimensional images into three-dimensions? a) Visual Comparison Speed b) Numerical Reasoning c) Spatial Visualization d) Sequential Reasoning 6. What type of individuals are known as 3D Visualizers? a) Those who excel in visual art b) People who can quickly process numerical data c) Individuals who can mentally create 3D models from 2D representations d) Creative writers 7. How do Brainstormers differ from Concentrated & Focused individuals in terms of generating ideas? a) Brainstormers generate more ideas b) Concentrated & Focused individuals generate more ideas c) They generate ideas at the same rate d) Both groups struggle to generate ideas 8. What is the primary advantage of having high Visual Comparison Speed? a) It helps in artistic endeavors b) It is useful in complex mathematical problems c) It aids in tasks requiring clerical detail and accuracy d) It enhances spatial visualization 9. Which career is NOT associated with the Core Driver: Visual Comparison Speed? a) Fire Inspector b) Astronomer c) Creative Writer d) Orthoptist 10. What is the main focus of Numerical Reasoning? a) Identifying numerical patterns and trends b) Analyzing historical data c) Solving abstract problems d) Communicating effectively 11. Which Core Driver involves the ability to rapidly draw conclusions from seemingly unrelated pieces of information? a) Numerical Reasoning b) Idea Generation c) Spatial Visualization d) Inductive Reasoning 12. What is the primary characteristic of Diagnostic Problem Solvers? a) They follow a logical step-by-step method of problem-solving b) They rely on specific information and observed experience c) They intuitively leap to conclusions based on limited information d) They are meticulous and deliberate in decision-making 13. What is the role of Fact Checkers in the problem-solving process? a) They intuitively provide solutions b) They rely on specific information and observed experience c) They enjoy acquiring new information and learning d) They make conclusions based on limited facts 14. In what type of role are Abstract Thinkers most comfortable? a) Counseling b) Law c) Marketing d) Construction 15. How can understanding your Core Drivers benefit collaborative work? a) It allows individuals with similar aptitudes to work together more effectively b) It creates conflicts within the team c) It doesn't affect collaborative work d) It makes collaboration more challenging 16. Which Core Driver is associated with processing complex mathematical problems logically? a) Visual Comparison Speed b) Numerical Reasoning c) Sequential Reasoning d) Idea Generation 17. What are Collaborative Planners more likely to do in a team project? a) Lead the team b) Create individual pieces of a project c) Solve abstract problems d) Generate creative ideas 18. How can understanding your aptitudes and interests help you make informed career choices? a) It guarantees job satisfaction b) It allows you to align your career with your strengths c) It helps you choose any career at random d) It has no impact on career decisions 19. Which Core Driver affects whether your thoughts go in several directions at once or follow single ideas more readily? a) Visual Comparison Speed b) Numerical Reasoning c) Idea Generation d) Inductive Reasoning 20. What is the primary characteristic of Idea Contributors? a) They generate creative ideas b) They discuss the big picture and next steps c) They are highly focused and detailed d) They follow a logical step-by-step approach 21. What is the role of Space Planners in the problem-solving process? a) They intuitively provide solutions b) They rely on specific information and observed experience c) They quickly organize information d) They create abstract plans 22. Which Core Driver is linked to the ability to see relationships in seemingly unrelated pieces of information? a) Spatial Visualization b) Inductive Reasoning c) Idea Generation d) Visual Comparison Speed 23. Which career is NOT associated with the Core Driver: Numerical Reasoning? a) Statistician b) Survey Researcher c) Chef d) Actuary 24. What are Core Drivers, and why are they important in the context of aptitudes and interests? a) They are educational qualifications b) They are interests that change over time c) They are natural gifts that predict job effectiveness and contentment d) They are personality traits 25. How can understanding your Core Drivers benefit collaborative work? a) It allows individuals with similar aptitudes to work together more effectively b) It creates conflicts within the team c) It doesn't affect collaborative work d) It makes collaboration more challenging Answers: b) Natural gifts that predict job effectiveness and contentment a) Visual Comparison Speed d) Sequential Reasoning b) They read maps and blueprints c) Spatial Visualization c) Individuals who can mentally create 3D models from 2D representations a) Brainstormers generate more ideas c) It aids in tasks requiring clerical detail and accuracy c) Creative Writer a) Identifying numerical patterns and trends d) Inductive Reasoning c) They intuitively leap to conclusions based on limited information b) They rely on specific information and observed experience b) Law a) It allows individuals with similar aptitudes to work together more effectively b) Numerical Reasoning b) Create individual pieces of a project b) It allows you to align your career with your strengths c) Idea Generation b) They discuss the big picture and next steps c) They quickly organize information b) Inductive Reasoning c) Chef c) They are natural gifts that predict job effectiveness and contentment a) It allows individuals with similar aptitudes to work together more effectively

Earth's History. All the processes that have been discussed require long periods of time to create a noticeable change on Earth's surface. You can just imagine how long it would take to create an oceanS as vast as the Pacific Ocean if the ocean floor moves only at about 10 cm/year. It is then important to know the history of Earth to learn the complexities of its past and be able to use it to understand the present. Just like learning the history of a country that requires one to read a lot of books, learning the history of Earth involves studying a lot of rocks. Rocks, especially sedimentary rocks, contain a lot of information about Earth's past. It holds the key to most of the geologic processes that happened on Earth and the key to uncovering how life on Earth evolved. But these discoveries are worthless if there is no time perspective. Thus, one of the most important contributions of geologists to mankind is the geologic time scale, which holds a history that is exceedingly long.The geologic time scale divides the history of Earth into different blocks of time by using relative dating. Since geologists use rocks to understand Earth's history, dating does not give accurate numerical dates, it only tells that an event preceded the relative dating places these rocks in their proper sequence of formation. But relative other. This method is still widely used today, alongside a more accurate method called absolute dating, which uses radioactive elements. With relative and absolute dating. geologists can trace the history of Earth. Relative Dating. Relative dating requires one to know the basic principles such as law of super-position, principle of original horizontality, principle of cross-cutting relationships, and unconformities.Law of Superposition The law of superposition is the most basic principle in relative dating. It states that in an undeformed sequence of sedimentary rock, the layers found at the top are the youngest rocks and the layers at the bottom are the oldest. It may seem too obvious, but this principle has only been clearly stated in 1669 by the Danish anatomist, geologist, and priest, Nicolaus Steno. Principle of Original Horizontality Along with the law of superposition, Steno stated that an undeformed sequence is the one where the layers are still in a horizontal position. This follows the principle of original horizontality, which states that sediments are deposited horizontally. Principle of Cross-Cutting Relationships The principle of cross-cutting relationships determines which events occurred first depending on which rocks are affected. The geologic layer that cuts another is younger than the layer it cuts across.Unconformities Rock layers that have not been interrupted are considered conformable. These sites represent spans of geologic time. But there is no place on Earth that has a complete conformable stratum since external and internal processes have always interrupted the deposition of the sediments. These breaks in the record of the rock strata are called unconformities. Using unconformities, geologic events are determined. There are three basic types of unconformities angular unconformity, disconformity, and nonconformity. Angular unconformity is characterized by having tilted or folded sedimentary rocks below younger, horizontal layers of rock. Disconformity is determined where there are missing parallel rock layers. Erosion takes place and removes the younger top layers and then deposition would once again happen. Nonconformity is characterized by an igneous or metamorphic rock found below a sedimentary rock. Figure 3-13. Three basic types of unconformities Using these principles for relative dating, one can determine the order of events However, relative dating does not give a time element as to when they happened. Absolute Dating For a much more accurate method of determining the history of Earth, geologists make use of absolute dating. This method uses unstable elements to determine the exact age of rocks. Isotopes are elements that have the same number of protons but different number of neutrons. Most isotopes are stable but some may be unstable. This is because the forces that bind the protons and neutrons in the nucleus of the isotope are not strong enough to hold them together, resulting in a radioactive decay, The unstable isotopes are called radioactive isotopes or parent isotopes. When these parent isotopes undergo radioactive decay, new isotopes, known as daughter products, are formed. The time it takes for one-half of the nuclei in the sample to decay is called half-life. This amount of time is fixed for each kind of radioactive isotope no matter what physical conditions it is subjected to. The ratio of parent daughter isotope determines how many half-lives have passed. If it is 1:1, then one half-life has passed; if it is 1:3, then two half-lives have passed; and if 1:7, then three half-lives have passed, and so on. Therefore, using the concept of half-life and parent-daughter ratio, geologists can determine the exact age of the sample. This method is called radiometric dating. It uses five radioactive isotopes to determine the age of rocks. For dating rocks that are about a million years old, rubidium-87, thorium-232, and the two isotopes of uranium (U-238 and U-235) are used. The fifth radioactive isotope is potassium-40, which has a half-life of 1.3 billion years. With these radioactive elements, determining the accurate age of rocks becomes easier. For dating events that are more recent, radiocarbon dating is used. This method uses carbon-14. Carbon-14 has a half-life of 5730 years and can be used to date back events up to 75000 years. All organisms contain a small amount of carbon-14, which is proportional with the amount of carbon-12. When an organism dies, the carbon-14 decays and is no longer replaced. The amount of carbon-14 left in the sample is then compared to the amounts of carbon-12 present, and radiocarbon dates can then be determined. This method has been particularly useful for anthropologists, archeologists, historians, and geologists for events that are much more recent.Fossils Aside from rocks, geologists also use the remains of living organisms in understanding Earth's history. Some fossils are formed from parts of an organism (body fossil), while some provide signs or clues as to which life-forms were present at that time (Frace fossils). Fossils contain a lot of information about the past the kind of organisms that have lived, the environment where organisms lived, and the evolution organisms underwent as their environment changed. However, not all organisms turned into fossils, therefore, scientists cannot learn everything about the past using fossils alone. There are also fossils that are used to determine the age of a rock. These are index fossils and these are only found in rocks of a particular age. The organisms that turned into index fossils have a relatively short life-spanning from a few million years to a few hundred million years. Index fossils are also found in most of the common rocks around the world, which makes them easier to identify.The methods used for dating the age of rocks are also used for fossils. Absolute dating is more commonly used since it can give exact numerical dates for the age, but relative dating can also be used to determine which fossils are older.

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