What Role Does Education Play On Social Equality Or...

Jimmy Choy SOC 1005 FTRB Professor Zimmerman Final Essay Topic #1 â€Å"What role does education play in social equality or inequality?† Martin Luther King, Jr. once said, â€Å"The function of education is to teach one to think intensively and to think critically. Intelligence plus character - that is the goal of true education.† Education has always been the path to success that open new opportunity doors for an individual in a democratic society. The government implemented free public education with a sole purpose to ensure that society continues to strive for equality. This means that studious individuals, with any background, that puts in their effort and work hard should have a higher advantage of getting a good job and climbing up the social mobility and economic ladder of success. The education system is a path for an individual to venture and develop abilities and aptitudes, which in the long run form human capital that will benefit society as a whole; ultimately, this will diminish the disparities of wealth and power by allowing the less fortunate an opportunity to add meaning into society. Yet educa tion may be illustrated as the means of equalization, it has been argued, that the purpose of education is unsuccessful; instead of overcoming closing the wealth gap, there are substantiation that it actually reinforces it. In Pierre Bourdieu’s theoretical paper, â€Å"The formsShow MoreRelatedRacial Segregation And The Educational Institution964 Words   |  4 Pageswhile growing up. Since social class is determined in large part by education, the effects of education carry forward into the rest of each person’s life even after they’ve long left the institution itself (Roy, lecture 10). 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Decision Making and Consumer free essay sample

What major psychological processes influence consumer responses to the marketing program? * How do consumers make purchasing decisions? * In what ways do consumers stray from a deliberate rational decision process? Contents Introduction4 What influences Consumer behavior? 5 Cultural factors5 Social factors6 Personal factors7 Key psychological processes9 Motivation9 Perception10 Learning11 Emotion12 Memory12 The buying decision process14 Behavioral decision theory amp; behavioral economics20 Introduction The aim of marketing is to meet and satisfy target customers need and want better than competitors. Marketers must have a thorough understanding of how consumers think, feel, and act and offer clear value to each and every target consumer. Successful marketing requires that companies fully connect with their customers. Adopting a holistic marketing orientation means understanding customers-gaining a 360-degree view of both their daily lives and the changes that occur during their lifetimes so the right products are always marketed to the right customers in the right way. So we are going to explore individual consumer buying dynamism. We will write a custom essay sample on Decision Making and Consumer or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Model of Consumer beha-vior Model of Consumer beha-vior Fig 1. 1 Fig 1. 1 The starting point for understanding consumer behavior is the stimulus-response model shown in figure 1. 1. Marketing and environmental stimuli enter the consumers consciousness, and a set of psychological processes combine with certain consumer characteristics to result in decision processes and purchase decisions. The marketers task is to understand what happens in the consumers consciousness between the arrival of the outside marketing stimuli and the ultimate purchase decisions. What influences Consumer behavior? Consumer behavior is the study of how individuals, groups and organizations select, buy, use and dispose of goods, services, idea or experiences to satisfy their needs and wants. A Consumers buying behavior is influenced by cultural, social, and personal factors. Cultural factors Culture is the fundamental determinant of a person’s wants amp; behavior. Each culture consists of smaller subcultures that provide more specific identification and socialization for their members. Subcultures include nationalities, religions, racial groups and geographic regions. Virtually all human societies exhibit social stratification, most often in the form of social classes, relatively homogeneous and enduring divisions in a society, hierarchically ordered and with members who share similar values, interest and behavior. Social Classes Upper uppers Upper uppers Lower uppers Lower uppers Upper middles Upper middles Middle Middle Working Working Upper lowers Upper lowers Lower lowers Lower lowers Social factors Such as Reference groups, Family and Social roles and statuses affect our buying behavior. Reference groups A person’s references groups are all the groups that have a direct or indirect influence on their behavior * Membership groups * Primary groups * Secondary groups * Aspirational groups * Dissociative groups Groups having a direct influence are called membership groups, some of these are Primary groups with whom the person interacts continuously and informally such as family, friends, neighbors and coworkers. People also belong to Secondary groups such as religious, professional and trade-union, which tend to be more formal and require less continuous interaction. People re also influenced by groups to which they don’t belong. Aspirational groups are those a person hops to join; Dissociative groups are those values or behavior an individual rejects. Marketers must determine how to reach and influence the group’s opinion leaders opinion leaders are often highly confident, socially active. Family There are two families in the buyer’s life: * Family of orienta tion consists of parents and siblings * Family of procreation the person’s spouse and children Rules and status Role consists of the activities a person is expected, each role in turn connotes a status Personal factors Personal characteristic that influence a buyer’s decision include * Age and stage Our taste of food, clothes and recreation is related to our age. Marketers should consider critical life events or transitions like marriage. * Occupation and Economic Circumstances Marketers try to identify the Occupational groups that have above-average interest in their product and services and even tailor product for certain Occupational groups. Both product and brand choices are affected by economic circumstance: 1. Spendable income (level, stability and time pattern) 2. Savings and assets (percentage that is liquid) 3. Debts 4. Borrowing power 5. Attitudes toward spending and saving * Personality and self-concept Personality set of distinguishing human psychological traits that lead to relatively consistent and enduring response to environmental stimuli (buying behavior). Like self-confidence, dominance, autonomy, deference, sociability, defensiveness and adaptability. Brand personality is a specific mix of human traits that we can attribute to a particular brand. 1. Sincerity 2. Excitement 3. Competence 4. Sophistication 5. Ruggedness * Life style and values Life style is a person’s pattern of living in the world as expressed in activities, interests and opinions. The ‘’ whole person ‘’ interacting with his/her environment. Life styles are shaped partly by whether consumers are money constrained (lower-cost product) or time constrained (multi-tasking). Consumer decisions are also influenced by core value the belief systems that underlie attitudes and behavior. Core values go much deeper than attitudes and behavior, people’s choices and desires over the long term. Key psychological processes Four key psychological process: Motivation, Perception, Learning, and Memory Motivation We all have many needs at any given time. Needs are: 1. Biogenic arise from physiological states of tension such as hunger. 2. Psychogenic arise from psychological states of tension such as the need of recognition. Three of the best-known theories of human motivation: Sigmund Freud, Abraham Maslow, and Frederick Herzberg. * Freud’s Theory Behavior is guided by subconscious motivations * Maslow’s Theory Behavior is driven by lowest, unmet need Fig 2. 1 Fig 2. 1 Maslows Hierarchy of Needs Maslows Hierarchy of Needs * Herzberg’s Theory Behavior is guided by motivating and hygiene factors. It has two implications: 1. Sellers should do their best to avoid dissatisfiers. 2. The seller should identify the major satisfiers or motivators of purchase in the market and then supply them. Perception Perception is the process by which we select, organize and interpret information inputs to create a meaningful picture of the world. Perceptions are more important than reality because perceptions affect consumer’s actual behavior. People emerge with different perceptions of the same object because of three perceptual processes: * Selective attention Selective attention means that marketers must work hard to attract consumer’s notice * People are more likely to notice stimuli that relate to a current need * People are more likely to notice stimuli they anticipate * People are more likely to notice stimuli whose deviations are large in relationship to the normal size of the stimuli * Selective distortion Is the tendency to interpret information in a way that fits our preconceptions. Selective distortion can work to the advantages of marketers with strong brands when consumers distort neutral or ambiguous brand information to make it more positive. Selective retention We are likely to remember good points about a product we like and forget good points about competing products. It explains why marketers need to use repetition. * Subliminal perception Learning ((When we act we learn)) Learning induces changes in our behavior arising from experience. Learning theorists believe learning is produced through the interplay of drive s, stimuli, cues, responses amp; reinforcement. Drive is a strong internal stimulus impelling action. Cues are minor stimuli that determine when, where amp; how a person response. Discrimination means we have learned to recognize differences in sets of similar stimuli amp; can adjust our responses accordingly. Learning theory teaches marketers that they can build demand for a product by associating it with strong drives, using motivating cues amp; providing positive reinforcement. Hedonic bias occurs when people have a general tendency to attribute success to themselves amp; failure to external causes. Emotion Consumer response is not all cognitive amp; rational; much maybe emotional amp; invoke different kinds of feelings. A brand or product may make a consumer feel proud, excited, or confident. An ad may create feeling of amusement, disgust, or wonder. Memory * Short term memory (STM) a temporary amp; limited repository of information. * Long term memory (LTM) a more permanent, essentially unlimited repository. All the information amp; experiences we encounter as we go through life can end up in our long-term memory. Associative network memory model views LTM as a set of nodes amp; links. Nodes are stored information connected by links that vary in strength. A spreading process from node to node determine how much we retrieve amp; what information we can actually recall in any given situation. In this model, we can think of consumer brand knowledge as a node in memory with a variety of linked associations. The strength of these associations will be important determinant of the info we can recall about the brand. Brand association consist of all brand-related thoughts , feelings , perceptions , images, experiences , beliefs , attitudes amp; so on that become linked to the brand node. State farm mental map State farm mental map Fig 2. 2 Fig 2. 2 Memory process Memory is a very constructive process, because we don’t remember info amp; events completely amp; accurately. Memory encoding describes how amp; where info gets in the memory. The strength of the resulting association depends on how much we process the info at encoding amp; in what way. Memory retrieval is the way information gets out of memory. 1. The presence of other product info in memory can produce interference effects amp; cause us to either overlook or confuse new data. 2. The time between exposure to info amp; encoding has been shown generally to produce only gradual decay. 3. Info may be available in memory but not be accessible for recall without the proper retrieval cues or reminders. The buying decision process The five stage model of buying process: 1. Problem recognition 2. Information search 3. Evaluation of alternatives 4. Purchase decision 5. Post purchase behavior 1. Problem recognition The buying process starts when the buyer recognizes a problem or need triggered by internal or external stimuli. Marketers need to identify the circumstances that trigger a particular need by gathering information from a number of consumers. 2. Information search Information sources * Personal: family, friends†¦etc. * Commercial: ads, web sites †¦etc. * Public: mass media †¦. etc. Experiential: handling, examining†¦etc. Search dynamic by gathering information, the consumer learns about competing brands amp; their features. Successive Sets in Decision Making: 3. Evaluation of alternatives * Some basic concepts will help us understand consumer evaluation process: First, the consumer is trying to satisfy a need. Second, the consumer is looking for a certain benefits from the product solution. Third, the consumer sees each product as a bundle of attributes with varying abilities to deliver the benefits. Belief is a descriptive thought that a person holds about something. Attitudes a person’s enduring favorable or unfavorable evaluations, emotional feelings, amp; action tendencies toward some object or ideas. Attitudes put us into a frame of mind: liking or disliking an object, moving toward or away from it. Expectancy-value model The consumer arrives at attitudes toward various brands through an attribute evaluation procedure, developing a set of beliefs about where each brand stands on each attribute. The expectancy-value model of attitude formation posits that consumers evaluate products amp; services by combining their brand beliefs according to importance. . Purchase decision In executing a purchase intention the consumer may make up to 5 sub decisions: Brand, Dealer, Quantity, Timing, and payment method. It is a Step between Alternative Evaluation and Purchase. Non-Compensatory Models of Choice: Conjunctive heuristic: the consumer set a min acceptable cutoff level for each attribute amp; chooses the first alternative that meets the min st andard for all attribute. Lexicographic heuristic: the consumer chooses the best brand on the basis of its perceived most important attribute. Elimination-by-aspects heuristic: the consumer compare brands on an attribute selected probabistically amp; eliminates brands that don’t meet min acceptable cutoffs. Intervening factors Steps purchase intention between and Purchas: Steps between Alternative Evaluation and Purchase Steps between Alternative Evaluation and Purchase Fig 3. 1 Fig 3. 1 Attitudes of others Depends on 2 things: 1. The intensity of the other person’s negative attitude toward our preferred alternative. 2. Our motivation to comply with the other person’s wishes. Unanticipated situational factors may erupt to change the purchase intention (Perceived Risk): 1. Functional risk: the product doesn’t perform to expectations. 2. Physical risk: the product poses a threat to physical well-being or health of the user or others 3. Financial risk: the product isn’t worth the price paid. 4. Social risk: the product results in embarrassment in front of others. 5. Psychological risk: the product affects the mental well-being of the other user. 6. Time risk: the failure of the product results in an opportunity cost of finding another satisfactory product. 5. Post purchase behavior Marketer must monitor post purchase satisfaction, actions, uses amp; disposal. Post purchase satisfaction Satisfaction is a function of closeness between expectations amp; the product’s perceived performance. If performance falls of expectations the consumer is disappointed; if it meets expectations the consumer is satisfied; if it exceeds expectations, the consumer is delighted. Post purchase actions Satisfied consumer is more likely to purchase the product again amp; will also tend to say good things about the brand to others. Dissatisfied consumer may abandon or return the product. Private actions include deciding to stop buying the product (exit option) or warning friends (voice option). Post purchase uses amp; disposal Marketers should also monitor how buyers use amp; dispose of the product. Fig 3. 2 Fig 3. 2 How buyers use amp; dispose of the product How buyers use amp; dispose of the product Moderating effects on consumer decision making The manner or path by which a consumer moves through the decision-making stages depends on several factors including the level of involvement amp; extent of variety seeking. * Low-Involvement Decision Making Petty amp; cacippo’s elaboration an influential model of attitude formation amp; change, describe how consumers make evaluation in both low amp; high involvement circumstances. Central route in which attitude or change stimulates much thought amp; is based on consumer’s diligent, rational consideration of the most important product information. Peripheral route in which attitude formation or change provokes much less thought amp; results from the consumers association of a brand with either positive or negative peripheral cues. Marketers use 4 techniques to try to covert low involvement product into one of higher involvement: 1. They can link the product to an engaging issue. 2. They can link the product to a personal situation. 3. They might design advertising to trigger strong emotions related to personal values. 4. They might add an important feature. * Variety-seeking buying behavior Here consumers often do a lot of brand switching. Brand switching occurs for the sake of variety rather than dissatisfaction. The market leader will try to encourage habitual buying behavior by dominating the self-space with a variety of related but different product versions, avoiding out-of-stock conditions, amp; sponsoring frequent reminder advertising. Behavioral decision theory amp; behavioral economics Behavioral decision theory (BDT) has identified many situations in which consumers make seemingly irrational choices. 1. Decision heuristics. 2. Framing. 3. Mental accounting. * Decision heuristics 1. Availability heuristic consumers base their predictions on the quickness amp; ease with which a particular example of an outcomes comes to mind. 2. Representative heuristic consumers base their predictions on how representative or similar the outcomes are to other examples.

Poopsex Essays - Platonism, Analogy, Socratic Dialogues,

Poopsex The Divided Line (The Republic , Book VI) Socrates You have to imagine, then, that there are two ruling powers, and that one of them is set over the intellectual world, the other over the visible. I do not say heaven, lest you should fancy that I am playing upon the name. May I suppose that you have this distinction of the visible and intelligible fixed in your mind? Glaucon I have. Socrates Now take a line which has been cut into two unequal parts and divide each of them again in the same proportion, and suppose the two main divisions to answer, one to the visible and the other to the intelligible, and then compare the subdivisions in respect of their clearness and want of clearness, and you will find that the first section in the sphere of the visible consists of images. And by images I mean, in the first place, shadows, and in the second place, reflections in water and in solid, smooth and polished bodies and the like: Do you understand? Glaucon Yes, I understand. Socrates Imagine, now, the other section, of which this is only the resemblance, to include the animals which we see, and everything that grows or is made. Glaucon Very good. Socrates Would you not admit that both the sections of this division have different degrees of truth, and that the copy is to the original as the sphere of opinion is to the sphere of knowledge? 1 Glaucon Most undoubtedly. Socrates Next proceed to consider the manner in which the sphere of the intellectual is to be divided. Glaucon In what manner? Socrates Thus: There are two subdivisions, in the lower of which the soul uses the figures given by thw former division as images; the enquiry can only be hypothetical, and instead of going upwards to a principle descends to the other end; in the higher of the two, the soul passes out of hypotheses, and goes up to a principle which is above hypotheses, making no use of images as in the former case, but proceeding only in and through the ideas themselves. 2 Glaucon I do not quite understand your meaning. Socrates Then I will try again; you will understand me better when I have made some preliminary remarks. You are [emailprotected] of geometry, arithmetic, and the kindred sciences assume the odd and the even and teh figures and three kinds of angles and the like in their several branches of science; these are their hypotheses, which they and everybody are supposed to know, and therefore they do not deign to give any account of them either to themselves or others; but they begin with them, and go on until they arrive at last, and in a consistent manner, at their conclusions? Glaucon Yes, I know. Socrates And do you not know also that although they make use of the visible forms and reason about them, they are thinking not of these, but of the ideas which they resemble; not of the figures which they draw, but of the absolute square and teh absolute diameter, and so on, the forms which they draw or make, and which have shadowsa and reflections in water of their own, are converted by them into images, but they are really seeking to behold the things themselves, which can only be seen with the eye of the mind? Glaucon That is true. Socrates And of this kind I spoke as the intelligible, although in the search after it the soul is compelled to use hypotheses; not ascending to a first principle, because she is unable to rise above the region of hypothesis, but employing the objects of which the shadows below are resembalcnes in their turn as images, they having in relation to the shadows and reflections of them a greater distinctness, and therefore a higher value. Glaucon I understand that you are speaking of the province of geometry and the sister arts. Socrates And when I speak of the other division of the intelligible, you will understand me to speak of that other sort of knowledge which reason herself attains by the power of dialectic, using the hypotheses not as first principles, but openly as hypotheses, that is to say, as steps and points of departure into a world which is above hypotheses,

Tenses and Forms of the Verb to Buy for ESL

Tenses and Forms of the Verb to Buy for ESL This page provides example sentences of the verb Buy in all tenses including active and passive forms, as well as conditional and modal forms.   Present Simple Use the present simple for routines and habits such as how often you  buy something at the store. Jack usually buys his groceries on Saturdays.Where do you buy your furniture?She doesnt buy any food at that store. Present Simple Passive The supplies are usually bought on Friday afternoons.When are new textbooks bought for the school?Wine isnt bought in great quantities. Present Continuous Use the  present continuous  to speak about what is happening at the present moment such as what you are buying in the store. They are buying a new house this month.Are they buying a new car soon?She isnt buying his story about his hard luck. Present Continuous Passive Not commonly used with buy Present Perfect Use the  present perfect  to discuss actions that have happened repeatedly such as how many times you have bought a specific product. We have bought a number of antique chairs.How long have you bought his story for?They havent bought any new furniture for a while. Present Perfect Passive Those antique chairs have been bought by customers in San Diego.Where has that been bought and sold before?It hasnt been bought by anyone.   Past Simple Use the  past simple  to speak about something you bought at a point in time in the past. He bought that painting last week.Where did you buy that sofa?She didnt buy any food for dinner, so theyre going out. Past Simple Passive That painting was bought last week.What was bought at the garage sale yesterday?That painting wasnt bought at the auction. Past Continuous Use the past continuous to describe what someone was buying when something else occurred. She was buying a new car when he telephoned.What were you buying when you got the call?She wasnt buying his story despite his insistence.   Past Continuous Passive Not commonly used with buy Past Perfect Use the  past perfect  to what  you had bought before something else happened.   Larry had bought the books before she arrived.What had they bought before they were offered the house?She hadnt bought enough food for the party, so she went out again. Past Perfect Passive The books had been bought before she arrived.Which ingredients had been bought for the meal?Not enough wine had been bought for the occasion.   Future (Will) Use  future tenses  to speak about something that you will / are going to buy  in the future. I think he will buy a present for Mary.Will you buy his proposal at the meeting?She wont buy what hes saying. Future (Will) Passive A new book will be bought for that child.Will that painting be bought at the auction?Food wont be bought by Peter.   Future (Going To) The teacher is going to buy the books for the children.What are you going to buy for dinner tonight?She isnt going to buy that house. Future (Going To) Passive The books are going to be bought for the children.What is going to be bought for drinks?They arent going to be bought by anyone for that price. Future Continuous Use the future continuous to express what you will be buying  at ​a  specific point in time in the future.   He will be buying groceries this time next week.Will you be buying anything this time tomorrow?She wont be buying a house anytime soon.   Future Perfect They will have bought five new computers by the end of the sale.What will you have bought by the end of the day?Youll see, she wont have bought anything. Future Possibility Use  modals  in the future to discuss future possibilities.   I might buy a new computer.Might Peter buy the house?She may not buy his story.   Real Conditional Use the  real conditional  to speak about possible events. If he buys that painting, he will be sorry.What will he buy if he inherits the money?She wont buy the house if its put up for auction. Unreal Conditional Use the unreal conditional to speak about imagined events in the present or future.   I would be sorry if I bought that painting.What would you need if you bought a new house?She wouldnt buy the house if you bought it. Past Unreal Conditional Use the past unreal conditional to speak about imagined events in the past.   If you hadnt bought that painting, you wouldnt have lost so much money on the investment.What would you have done if he had bought you a diamond ring?She wouldnt have bought that house if she hadnt had enough money. Present Modal I should buy some new clothes.Where can I buy an ice-cream cone?They mustnt buy anything today. Theres no money in the bank. Past Modal They must have bought some new clothes.What should you have bought last year?They couldnt have bought his story.   Quiz: Conjugate With Buy Use the verb to buy to conjugate the following sentences. Quiz answers are below.   He ______ that painting last week.Larry _____ the books before she arrived.Jack usually ______ his groceries on Saturdays.I think he ______ a present for Mary.They _____ five new computers by the end of the sale.I would be sorry if I _____ that painting.The supplies are usually _____ on Friday afternoons.We _____ a number of antique chairs.That painting _____ last week.They _____ a new house this month. Quiz Answers boughthad boughtbuyswill buywill have boughtboughtboughthave boughtwas boughtare buying

When Getting Fired Is Actually a Good Thing

When Getting Fired Is Actually a Good Thing Nobody likes getting fired. It is a universally unpleasant experience. But what if it could lead to something great? If you’re afraid of losing your job, or might be in danger of being imminently fired, read on. Roy Choi is the widely acknowledged â€Å"godfather of the food truck movement,† thanks to his enormously successful gourmet Korean taco venture. He’s won tons of awards and owns several restaurants, but more interesting is how he got to where he is.Choi didn’t always work in food trucks. In fact, the genesis of his massive success was the result of being fired from his job as a chef in a regular kitchen. His life as he knew it collapsed around him and, luckily, he had the presence of mind to trust his gut and go out and do what he’d been dreaming of. And it paid off.Next time you have your back against a wall and feel desperate, make small steps in the direction of something you think is valuable or important, and more often than not the re st will fall into place. A few hard-won freelance gigs could turn into a lucrative career. An entry-level job can turn into a managerial position. An idea for a food truck could turn you into a celebrity.Sometimes you learn a lot about yourself and what you want- not to mention what you’re capable of- when you find yourself at the bottom. Don’t give up. Dig deep. Figure out what you can do, what you want to do, and then work really hard until you get somewhere.Chances are you’ll end up much better off.

Humanitarian Action - Haiti Earthquake Essay Example | Topics and Well Written Essays - 1000 words

Humanitarian Action - Haiti Earthquake - Essay Example Usually we associate disaster as a crisis inflicted by nature but human-made disasters are not less likely to represent similar amount of suffering for humanity. One of such disasters is war and conflicts that brings up the crisis of internally displaced people or IDPs. By June 2008, more than 2.8 million people were internally displaced in Iraq. Most of them are spread in rented accommodations and depend on host communities, governmental bodies, or some national and international humanitarian agencies. This population was displaced in three phases, approximately 1.6 million fled sectarian violence in 2006,an estimated 190,000 displaced by military operation and violence in 2003 to 2005, and around 1.2 million displaced as a consequence of the policies of Saddam’s government and Gulf War. In addition to this, according to UNHCR 1.7 million Iraqi refugees are abroad and only 300,000 of them are registered (Iraq 2010 Humanitarian Action Plan [HAP], 2009) This situation is not created at once but emerged from a legacy of sanctions, violence, conflict, lack of development and public service. These factors led to the scarcity of basic human needs, for instance, water, food, shelter, security, and access to health care and education. Since there has been no major humanitarian or security crisis in 2009, some improvement in IDPs returning to their home can be noticed but there is no change in vulnerable areas, for instance, northern and north-western Iraq, central Iraq and areas of southern Iraq.

Mathematical Tasks Math Problem Example | Topics and Well Written Essays - 2000 words

Mathematical Tasks - Math Problem Example which is 4. Then we have 14 x 4 -= 56cm Similarly, CD = 15 x 4 = 60 cm The perimeter of CDE then becomes 60+52+56 = 168cm Measurement as a mathematical object is also very necessary in this mathematical task where the measurement units are given in centimeters. Mathematical process like connection where mathematic ideas interconnect and build on one another to produce a coherent whole has highly been applied on this task. Mathematical processes like representation is also very important as it helps the learner to organize, record, and communicate mathematical ideas. Geometric reasoning. (ii) Chapter 3 is about geometric reasoning. Basing on task 3.3.3 the following mathematical task has been formulated. B A C To construct a circle inside the triangle to touch the side of the triangle which is generally termed as an inscribed circle, then there is a lot of geometry involved (Bates, 1979). This can be done as follows: - (a) Bisection of angle BAC and extending the bisecting line to a point, p. (b) Bisecting the angle ACB and extending the bisector to a point, m. Where the two bisecting lines meet, say point O, becomes the centre of the circle. With a pair of compasses, you pin at the meeting point of the two lines and draw a circle that touches the vertices of the triangle ABC. This is what is called an inscribed circle. This can be shown in fig,1.2 below: - B o A C Measurement as a mathematical tool is highly used here. The length of the sides of the triangle can be measured as well as the radius of the inscribed circle. Reasoning and proof are mathematical processes that are also applied on this mathematical task. It is only...A mathematical task like the one below entails many more mathematical objects apart from geometry because algebra can also be involved. Measurement as a mathematical object is also very necessary in this mathematical task where the measurement units are given in centimeters. Mathematical process like connection where mathematic ideas interconnect and build on one another to produce a coherent whole has highly been applied on this task. Mathematical processes like representation is also very important as it helps the learner to organize, record, and communicate mathematical ideas. Measurement as a mathematical tool is highly used here. The length of the sides of the triangle can be measured as well as the radius of the inscribed circle. Reasoning and proof are mathematical processes that are also applied on this mathematical task. It is only through concrete reasoning and proofing what you reason by for example bisecting the angles that one comes to see that the circle touches the sides of the triangle but not the vertices. Use of mathematical tools like a pair of compasses, calculators and rulers has also been highly applied to solve this mathematical task. Mathematics thinking and language is highly exercised and mathematics ideas expressed precisely. (iii) In chapter 4 which is