introduction math assignment

• Mastering the Art of Crafting an Engaging Introduction for Your Math Assignment

Math assignment, Introduction, Compelling, Strategies, Engaging

Writing an introduction that captures the reader's attention while also setting the stage for the rest of the paper is one of the most difficult aspects of writing a mathematics assignment. Inviting readers into the world of numbers, formulas, and problem-solving, the introduction serves as a gateway. But the question still stands: How can you make sure that your introduction piques the reader's curiosity right away?

We will discuss efficient methods for crafting a strong introduction for your math assignment in this blog post. We will explore the art of involving your readers in mathematical ideas without boring them with technical language. You can write an introduction that compels your audience to read more by incorporating these techniques into your writing process.

A strong introduction achieves a number of goals. The topic is introduced, the assignment's context is given, and the main goals are spelled out in clear terms. Additionally, it establishes the topic's relevance and demonstrates your command of the subject. Additionally, a strong introduction should pique readers' interests and entice them to read on to learn the insights and defenses you will make in the sections that follow.

Let's now examine a variety of efficient writing techniques that will enable you to create an introduction that not only demonstrates your subject knowledge and understanding but also enthralls your audience, causing them to want to learn more about your mathematical investigation.

Establish a Strong Hook First:

Every gripping story has a captivating introductory paragraph that grabs the reader's attention. It is comparable to the first spark that starts a wildfire. I should complete my math homework using the same logic. The introduction must be written so that it piques the reader's interest early on and keeps it throughout the entire assignment.

A strong hook doesn't necessarily need to be a lengthy tale or a challenging analogy. Simple hooks include provocative questions that pique readers' interest, unexpected facts about the subject at hand, and interesting anecdotes that resonate with the mathematical concept you're about to discuss. The idea is to catch the reader's interest, pique their curiosity, and encourage them to read more.

For instance, you might ask a question like, "Have you ever thought about how the ancient Greeks managed to determine the distances and heights without modern measuring tools?" before discussing the Pythagorean theorem. like "Did you know the Pythagorean theorem was discovered over 2000 years ago and is still being used in a variety of fields including construction, computer science, and even space travel?"

Give background and context information

Giving your readers some context is the second method for crafting a strong introduction for your math assignment. Here, your goal is to establish the scene by giving pertinent background information. Readers are better able to appreciate the assignment's content when they are familiar with the subject's underlying principles.

A brief history of the mathematical idea you're discussing, examples of it in real-world situations, or the importance of the issue you're trying to solve can all serve as examples of contextual information. You might, for instance, mention differential equations' crucial role in simulating natural phenomena like population dynamics, heat transfer, or the spread of diseases in a paper on differential equations.

Providing context also entails demonstrating the topic's relevance. Why should the reader be interested in this specific mathematical idea or issue? Why is it significant in the modern world? You should address questions like these in your introduction.

The purpose of the introduction is to direct the reader's attention as well as to draw them in. The subject of your assignment and your goals must be made clear from the outset.

This can be accomplished with a clear and succinct purpose statement or thesis statement. This is one or two sentences that briefly describe the main idea of your assignment. It gives a synopsis of the subject you're going to talk about or the issue you're going to try to solve. It keeps the reader interested and enables them to understand what to anticipate from your assignment.

A strong thesis statement is clear, concise, and debatable. Your thesis statement, for instance, might read, "This assignment aims to explore the properties of prime numbers and their crucial role in contemporary cryptographic systems," if the topic is prime numbers.

Give a brief description of your assignment:

Giving an overview of the assignment is one of the best ways to write a strong introduction for your math assignment. Here, you should lay out the assignment's overall structure and the expectations for each section for your reader.

Giving your readers a summary enables them to follow your thought process and comprehend the foundation of your argument or analysis. This keeps them interested and aids in their understanding of the logic behind your assignment.

An effective summary withholds certain details. Instead, it gives the reader a preview of what's to come, piquing their interest and encouraging them to read more of your assignment. For instance, you might write, "First, we'll look at the historical development of the idea of prime numbers, then we'll analyze them in great detail. Then, we'll look at how they're used in cryptography and talk about why those uses are important.

Stories have great power. They can help people understand and relate to difficult or abstract ideas. Making your mathematics assignment more interesting and memorable can be accomplished by incorporating a narrative into your introduction.

Mathematical storytelling need not always involve creating a make-believe story. It can be as easy as using a real-world situation to illustrate a mathematical concept, outlining the concept's development over time, or demonstrating how it has been applied in various fields.

For example, if you're writing about the Fibonacci sequence, you might begin with a narrative about how Leonardo of Pisa first learned about it through a problem involving the expansion of rabbit populations. You could then move on to talking about the sequence's mathematical properties and how it is frequently used in everything from computer algorithms to art and architecture.

Utilize Language Sensibly:

The way you write your introduction has a big impact on how interesting it is. Even though numbers, symbols, and equations make up the majority of mathematics, how you present these concepts in your writing can significantly affect your reader's interest and comprehension.

Your writing should be engaging, clear, and concise. Avoid using technical terms and jargon that your readers might not understand. Instead, describe mathematical ideas in straightforward, understandable language. Make your writing more dynamic and engaging by using the active voice and verb tenses.

Additionally, change up your sentence structure to add interest to your writing. Short, simple sentences can make your writing seem choppy and disjointed, while long, complex sentences can perplex your reader. You can make your writing more rhythmic and interesting by alternating between short and long sentences.

Review and Improve:

It's critical that the introduction is well-written and error-free because it's frequently the first thing your reader sees. Here's where editing and polishing are useful.

After you've finished writing your introduction, give it a thorough reading. Search for any spelling or grammar mistakes, awkward language use, or vague statements. Make sure your introduction establishes the tone for the remainder of your assignment and smoothly transitions from one idea to the next.

If necessary, make revisions to your introduction's clarity, coherence, and overall quality. This might entail rephrasing sentences, changing the order in which your ideas are presented, or even completely rewriting your introduction.

Your introduction needs to be improved over time. Throughout the writing process, you should repeat this action. You might discover that your introduction needs to be updated as your assignment changes.

Writing an engaging introduction for your math assignment entails using a strong hook to draw the reader in, giving context and background information, stating your assignment's purpose clearly, giving an overview of the assignment, using the storytelling technique, using language effectively, and revising and refining your introduction. Using these techniques, you can write an introduction that piques the interest of your reader and encourages them to read more of your assignment.

Conclusion:

The impact of your work can be greatly increased by developing a strong introduction for your math assignment. By using a variety of techniques, you can grab the attention of your audience right away and set the stage for an assignment that is successful.

This blog post has examined various methods for crafting an engaging introduction for your math assignment. We started out by highlighting how crucial it is to comprehend your audience and adjust your introduction to meet their needs and expectations. The importance of clearly stating your assignment's purpose and objectives was then covered in order to help readers understand its relevance and potential impact.

The effectiveness of storytelling and narrative devices in holding readers' attention was then discussed. You can make your introduction interesting and relatable by relating your mathematical ideas to historical events or current affairs.

As a result, crafting a strong introduction for your math assignment necessitates careful consideration, planning, and focus on the small print. By utilizing the techniques described in this blog post, you can write an introduction that not only demonstrates your knowledge and expertise but also enthralls your audience, creating the foundation for an assignment that is successful and significant.

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Stanford Online

Introduction to mathematical thinking.

HSTAR-Y0001

Stanford Graduate School of Education

The goal of the course is to help you develop a valuable mental ability – a powerful way of thinking that our ancestors have developed over three thousand years.

Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box – a valuable ability in today's world. This course helps to develop that crucial way of thinking.

The course is offered in two versions. The eight-week-long Basic Course is designed for people who want to develop or improve mathematics-based, analytic thinking for professional or general life purposes. The ten-week-long Extended Course is aimed primarily at first-year students at college or university who are thinking of majoring in mathematics or a mathematically-dependent subject, or high school seniors who have such a college career in mind. The final two weeks are more intensive and require more mathematical background than the Basic Course. There is no need to make a formal election between the two. Simply skip or drop out of the final two weeks if you decide you want to complete only the Basic Course.

Subtitles for all video lectures available in: Portuguese (provided by  The Lemann Foundation ), English

Course Syllabus

Instructor's welcome and introduction

•  Introductory material
•  Analysis of language – the logical combinators
•  Analysis of language – implication
•  Analysis of language – equivalence
•  Analysis of language – quantifiers
•  Working with quantifiers
•  Proofs
•  Proofs involving quantifiers
•  Elements of number theory
• Beginning real analysis

Recommended Background

High school mathematics. Specific requirements are familiarity with elementary symbolic algebra, the concept of a number system (in particular, the characteristics of, and distinctions between, the natural numbers, the integers, the rational numbers, and the real numbers), and some elementary set theory (including inequalities and intervals of the real line). Students whose familiarity with these topics is somewhat rusty typically find that with a little extra effort they can pick up what is required along the way. The only heavy use of these topics is in the (optional) final two weeks of the Extended Course.

A good way to assess if your  basic  school background is adequate (even if currently rusty) is to glance at the topics in the book  Adding It Up: Helping Children Learn Mathematics  (free download), published by the US National Academies Press in 2001. Though aimed at K-8 mathematics teachers and teacher educators, it provides an excellent coverage of what constitutes a good basic mathematics education for life in the Twenty-First Century (which was the National Academies' aim in producing it).

Dr Keith Devlin, Co-founder and Executive Director H-STAR Institute

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Answers for Quizzes & Assignments that I have taken

Stanford university - introduction to mathematical thinking, solutions for stanford’s introduction to mathematical thinking.

Instructors: Keith Devlin

Course description.

Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands of years.

Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box – a valuable ability in today’s world. This course helps to develop that crucial way of thinking.

START with the Welcome lecture. It explains what this course is about. (It comes with a short Background Reading assignment, to read before you start the course, and a Reading Supplement on Set Theory for use later in the course, both in downloadable PDF format.) This initial orientation lecture is important, since this course is probably not like any math course you have taken before – even if in places it might look like one! AFTER THAT, Lecture 1 prepares the groundwork for the course; then in Lecture 2 we dive into the first topic. This may all look like easy stuff, but tens of thousands of former students found they had trouble later by skipping through Week 1 too quickly! Be warned. If possible, form or join a study group and discuss everything with them. BY THE WAY, the time estimates for watching the video lectures are machine generated, based on the video length. Expect to spend a lot longer going through the lectures sufficiently well to understand the material. The time estimates for completing the weekly Problem Sets (Quiz format) are a bit more reliable, but even they are just a guideline. You may find yourself taking a lot longer.

In Week 2 we continue our discussion of formalized parts of language for use in mathematics. By now you should have familiarized yourself with the basic structure of the course: 1. Watch the first lecture and answer the in-lecture quizzes; tackle each of the problems in the associated Assignment sheet; THEN watch the tutorial video for the Assignment sheet. 2. REPEAT sequence for the second lecture. 3. THEN do the Problem Set, after which you can view the Problem Set tutorial. REMEMBER, the time estimates for watching the video lectures are machine generated, based on the video length. Expect to spend a lot longer going through the lectures sufficiently well to understand the material. The time estimates for completing the weekly Problem Sets (Quiz format) are a bit more reliable, but even they are just a guideline. You may find yourself taking a lot longer.

This week we continue our analysis of language for use in mathematics. Remember, while the parts of language we are focusing have particular importance in mathematics, our main interest is in the analytic process itself: How do we formalize concepts from everyday life? Because the topics become more challenging, starting this week we have just one basic lecture cycle (Lecture -> Assignment -> Tutorial -> Problem Set -> Tutorial) each week. If you have not yet found one or more people to work with, please try to do so. It is so easy to misunderstand this material.

This week we complete our analysis of language, putting into place the linguistic apparatus that enabled, mathematicians in the 19th Century to develop a formal mathematical treatment of infinity, thereby finally putting Calculus onto a firm footing, three hundred years after its invention. (You do not need to know calculus for this course.) It is all about being precise and unambiguous. (But only where it counts. We are trying to extend our fruitfully-flexible human language and reasoning, not replace them with a rule-based straightjacket!)

This week we take our first look at mathematical proofs, the bedrock of modern mathematics.

This week we complete our brief look at mathematical proofs

The topic this week is the branch of mathematics known as Number Theory. Number Theory, which goes back to the Ancient Greek mathematicians, is a hugely important subject within mathematics, having ramifications throughout mathematics, in physics, and in some of today’s most important technologies. In this course, however, we consider only some very elementary parts of the subject, using them primarily to illustrate mathematical thinking.

In this final week of instruction, we look at the beginnings of the important subject known as Real Analysis, where we closely examine the real number system and develop a rigorous foundation for calculus. This is where we really benefit from our earlier analysis of language. University math majors generally regard Real Analysis as extremely difficult, but most of the problems they encounter in the early days stem from not having made a prior study of language use, as we have here.

Week 9 & 10: Test Flight

Test Flight provides an opportunity to experience an important aspect of “being a mathematician”: evaluating real mathematical arguments produced by others. There are three stages. It is important to do them in order, and to not miss any steps. STAGE 1: You complete the Test Flight Problem Set (available as a downloadable PDF with the introductory video), entering your solutions in the Peer Evaluation module. STAGE 2: You complete three Evaluation Exercises, where you evaluate solutions to the Problem Set specially designed to highlight different kinds of errors. The format is just like the weekly Problem Sets, with machine grading. You should view the Tutorial video for each Exercise after you submit your solutions, but BEFORE you start the next Exercise. STAGE 3: You evaluate three Problem Set solutions submitted by other students. (This process is anonymous.) This final stage takes place in the Peer Evaluation module. After you are done peer reviewing, you may want to evaluate your own solution. It can be very informative to see how you rate your own attempt after looking at the work of others.

Introduction to Math 444 Assignments

This sheet is about the regular individual assignments. there may be other written work stemming from group activity in class, etc., that is not covered by this description., what is the purpose of the written assignments.

As in most subjects, one masters math by doing. This means that all one's studying should involve drawing, working examples on paper, etc. But the written assignments provide the impetus to work out in polished form problems and constructions and proofs that develop understanding of geometry. They also provide a running assessment for student and instructor of what is going on in the class as to levels of understanding, areas of success, areas that need work, etc.

How often are assignments given?

In the beginning part of the course, shorter assignments will be due two or three times a week. This will gradually move to longer and less freqent assignments of about one per week. Students who don't like daily assignments are free to work ahead and treat assignments 1a, 1B, 1C, etc. as a single weekly assignment.

What kind of written assignments?

Assignment items to turn in will be of several forms.

• Fairly routine exercises or constructions.
• Problems to solve - some challenging and some less so. These can be construction problems, numerical or ratio problems, or existence of special geometrical relationships such as similarity, concurrence, etc.
• Major or minor theorems to prove.
• Physical models and drawings will sometines be assigned.
• Investigations and open-ended problems. As the course moves on, such problems will appear on the assignments.

When are assignments due?

• Assignments are due at the beginning of class on the due date .
• No further writing is allowed once you walk into the room. Experience has shown that this leads to poor quality presentation, and sometimes to copying from other students.
• Students may discuss problems outside of clas s, so long as each student writes up her/his work independently. However, "sharing" answers in the 10 minutes before class is too late for group reflection.
• Late Assignments cause problem, so they may not be accepted. Often questions on an assignment will be answered during class. Also, the grading will sometimes be scheduled on the day the assignments are due. We do realize that nobody is perfect (least of all us) and that crises occur. If it happens that a student does not have an assignment on time once or even twice and asks to turn it in late, we will probably say OK, at least for partial credit. Once or twice also will not make or break one's grade. But don't make a habit of it.

Grading of Assignments will Follow several Strategies

We feel it is important that assignments be graded and feedback provided. However, some of the problems assigned in this course are not quickly graded. A bit of calculation will show that any problem that just takes 10 minutes per student will add up to about 5 or 6 hours of grading time. Thus the instructors will adopt a number of strategies to make grading possible. In some cases, students will self-report and then groups will discuss answers.

Quality of Presentation Counts

Since Math 444 is a course for students who intend to make a career explaining mathematics, the assignments turned in should be well-written as to language and thought. Answer in complete sentences. Use white space. Break up long explanations or proofs into paragraphs. Write neatly or word process. Presentation can definitely be part of the grade (plus or minus). Egregious examples of illegibility or bad writing will not be graded

What this means is that one should often write down a draft page for brainstorming and then write a completely new page to turn in.

Good and Bad News about Assignment Grades

This section gives two contradictory messages. The good news is that in Math 444 one does not have to get 100% to get a high grade. The problems are not routine, so perfection is not required, though a high standard is expected. The bad news (for some) is that skipping the homework and trying to get a high grade by being brilliant on the tests will not work because of the weight put on assignments. Only part of the course experience shows up on the tests, so high test grades alone do not ensure a high course grade in the absence of strong assignment grades.

Introduction to Algebra

Algebra is great fun - you get to solve puzzles!

What is the missing number?

OK, the answer is 6, right? Because 6 − 2 = 4 . Easy stuff.

Well, in Algebra we don't use blank boxes, we use a letter (usually an x or y, but any letter is fine). So we write:

It is really that simple. The letter (in this case an x) just means "we don't know this yet", and is often called the unknown or the variable .

And when we solve it we write:

Why Use a Letter?

• it is easier to write "x" than drawing empty boxes (and easier to say "x" than "the empty box").
• if there are several empty boxes (several "unknowns") we can use a different letter for each one.

So x is simply better than having an empty box. We aren't trying to make words with it!

And it doesn't have to be x , it could be y or w ... or any letter or symbol we like.

How to Solve

Algebra is just like a puzzle where we start with something like "x − 2 = 4" and we want to end up with something like "x = 6".

But instead of saying " obviously x=6", use this neat step-by-step approach:

• Work out what to remove to get "x = ..."
• Remove it by doing the opposite (adding is the opposite of subtracting)
• Do that to both sides

Here is an example:

To remove it, do the opposite , in this case add 2

Do it to both sides

Which is ...

Why did we add 2 to both sides?

To "keep the balance"....

Just remember this:

See this in action at the Algebra Balance Animation .

Another Puzzle

What we want is an answer like "x = ...", but the +5 is in the way of that! We can cancel out the +5 with a −5 (because 5−5=0)

Have a Try Yourself

Now practice on this Simple Algebra Worksheet and then check your answers. Try to use the steps we have shown you here, rather than just guessing!

Try the questions below, then read Introduction to Algebra - Multiplication

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Course info.

• Dr. Casey Rodriguez

Departments

• Mathematics

As Taught In

• Mathematical Analysis

Learning Resource Types

Real analysis, assignments and exams.

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How to Start an Assignment Introduction Like an Expert

Every student wonders how to start an assignment introduction because this knowledge can keep them afloat through their endless years of school, college, and university. If you're here, you probably wonder that as well. Thankfully, there is nothing complicated about writing an introduction. This is how one starts an essay that teases the topics to come and explains your work’s final goal. Its importance is absolute.

Think about it. You open someone’s essay and see a very boring assignment introduction. Chances are, it’ll inform your opinion about the whole text right then and there, and even if the body has some fascinating facts, you might stay unimpressed anyway. First impressions usually stick with people. The guide prepared by StateOfWriting’s experts will teach you how you can grab your audience’s attention from the first seconds. In it, you’ll find explanations, examples, tips, and even common grading criteria that will help you start most compellingly.

How to Start an Assignment Introduction and What to Include

The introduction plays the same role in every paper, regardless of its topic. It must briefly address the content you will explore in the body and outline the needed steps. Its more subtle purpose is triggering genuine interest in your audience, motivating them to keep reading.

5 Elements of Every Introduction

Include these components in the introduction for assignment you’re working on:

• Hook. This would be the first sentence of your introduction. Does the word itself evoke any associations in you? When you hook someone, be it a fish or a person, you get to hold onto them. They become yours, and that’s exactly what you should strive for when writing your paper. Hit your readers with the very first line as powerfully as you can. It could be a piece of astonishing statistics that will make people gape in shock. Alternatively, you could go for an emotional approach, writing something that clenches your readers’ hearts in their chests. Whatever you choose, make it count.
• Background. The second element you’ll need for learning to know how to write introduction for assignment is the background. Professional tips for college application essay will show you how essential it is to make it interesting. This background represents your topic — it must explain what you’re investigating and how this subject came to be. For example, we’re analysing a TV show, Devil Judge. To present its background properly, we’d mention its title, airing date, and key figures. Then we’d briefly describe its plot.
• Justification. Next in figuring out how to write an introduction for assignment is deciding why you picked your topic. What makes it relevant to your subject? How can people benefit from reading about it? No need for much detail; just make a few references.
• Steps. This and the next component are interchangeable. In most cases, students need either one or another, depending on your professor's request. Outline the steps you’ll be undertaking when exploring your topic. If you will analyse the plot in the first body paragraph and dissect the characters in the second one, explain it to your readers. Provide a roadmap of your intentions. This approach is more suitable for really long papers.
• Thesis. How to write a good introduction for an assignment? By creating a powerful thesis. Most academic papers require it. It concludes your introduction, functioning as its last sentence. A thesis is a direct claim that embodies your essay’s entire essence. Even if people read it and nothing else, they should understand your work.

Specific Moments to Cover in Your Intro

You have a general picture of how to start writing an assignment now. It’s time to learn about the smaller and more specific details you should include in your introduction!

• Context. Always give your readers context. Disclose it carefully, bit by bit, instead of jumping straight to your main point. Using our TV show example, saying “Devil Judge is about revenge and power abuse” would be a bad start. It dumps too much information on a person and discloses too many relevant points. Be gradual and untangle your topic.
• Overview. When writing an introduction for an assignment, include a content overview. As mentioned above, it could be present as steps or a thesis. Either way, just demonstrate your plans to your readers — no introduction can function without it.
• Your perspective. Share your opinion about your topic. It doesn’t mean that you should use personal pronouns, just show what your position is by focusing your readers’ attention on a specific angle. Going back to our example, we could mention how the affection of Judge Kang toward his deceased brother coloured his perception of Ga On, who closely resembled him physically. This would narrow the focus down, displaying what we want to explore.
• Your goal. This aspect is closely linked to the previous one. Specify the end point of your essay by teasing the conclusion you plan to achieve.

Avoid These Mistakes When Writing Your Introduction

• Repetitions. Some students choose to repeat their title word by word in their paper. It’s not a good idea! Your assignment introduction sentence starters should be more unique. Come up with new words and phrases instead of engaging in self-plagiarism.
• General statements. Avoid vague sentences that suit any topic. An individual and relevant introduction will help make your paper look special. Be specific.
• Rambling paragraphs. Don’t try to introduce all possible information in your first paragraph. Being specific doesn’t mean talking non-stop. You should briefly present your ideas in the introduction and develop them in the body.
• Personal pronouns. Never use personal pronouns unless your task allows them. This covers “I, my, we, us, our,” etc.

5 Tips from Our Academic Experts

StateOfWriting’s British experts have written more essays than they can ever count. This extensive experience fuels their professionalism: they know how to create amazing papers, and they shared some key introduction-related insights with you.

• Create an introduction last. How to start an assignment for university? By writing it last. Yes, it may sound surprising, but this is how you can ensure you don’t need to rewrite anything later. An introduction has to reflect your whole paper. You should understand your findings and conclusions before crafting it.
• Size matters. Introduction shouldn’t take more than 10% of your total word count.
• Keep a balance between teasing and informing. Remember our assignment introduction writing tips from above? It’s important to share just the right details with readers.
• Edit this intro. Re-read your introduction a couple of times. Clean it thoroughly, removing all accidental mistakes and typos.
• Seek help. If any of these rules frustrate you, simply buy assignment online from professionals. Our writers could give you extra tips or take over the task completely.

Grading Criteria to Guide You on How to Write an Assignment Introduction

StateOfWriting’s experience spans across various fields. We know how college professors operate and what they expect to see in students’ papers. Take a look at their common grading points below. Remember them when you work on your introduction and adjust it accordingly.

• Conciseness. Professors want a short yet succinct introduction that covers all the necessary points without being overly long or overwhelming.
• Relevance. An introduction must be relevant to the subject and prompt. If the connection is loose, some points may be removed.
• Suspense. Not all professors pay attention to this aspect, but you’ll benefit from intriguing your audience and instilling a sense of anticipation in them.
• Research. Most essays require the use of credible academic studies. Cite at least the most important one in your intro to demonstrate your thoughtful approach. Get help with assignments if you’re struggling with this part.
• Thesis. All professors award separate points for a strong thesis statement.

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Practical Example of Effective Essay Introduction

We will provide you with a practical assignment introduction example to secure your theoretical knowledge. One of our top writers created it on the topic we already mentioned, the Devil Judge show. Find its analysis below and use this text as a template for your introduction!

The Dangers of Affection Transference in ‘Devil Judge’ Losing a loved one and then suddenly seeing a stranger with their face is the sharpest and most overwhelming experience. It can bring devastation and joy simultaneously, and this topic lies at the heart of ‘Devil Judge.’ This Korean show aired in 2021; it was written by Moon Yoo-Seok, who worked as a judge for over two decades (Livson, 2023). Kang Yohan, one of the protagonists, has lost his beloved older brother ten years before the show's start. When he meets Ga On, a junior judge sent to spy on him, he feels torn because Ga On bears a striking physical resemblance to his brother. The topic of affection transference is interesting because it is easy to use as a form of emotional manipulation. Moreover, the research in this area is lacking. As Joilis (2022) notes, when a person automatically attributes the qualities of their loved one to someone else over their resemblance, they face the risk of being emotionally compromised. Kang Yohan feels drawn to Ga On because he reminds him of his brother, and he becomes a victim of unwilling manipulation by starting to perceive Ga On as a part of his family sooner than naturally.

Analysis of Successful Assignment Introduction

Hook: The essay begins by thrusting the readers into a complicated emotional scenario and shortly describing the feelings it evokes. Background: In the next several sentences, we explore the meaning of ‘Devil Judge’, address its main characters, and show our willingness to focus on one specific theme, affection transference. Justification: The paper underlines how transference can be emotionally harmful to people and notes how scarce research is in this area, elevating our study's value. Thesis: We make a final claim that unites the show's plot with our chosen psychological phenomenon and introduces the points we’ll tackle, such as the resemblance between Ga On and Yohan’s brother, accidental manipulation, and the strengths of their feelings.

FAQ on How to Write an Introduction for an Assignment

1. How many words should my introduction have?

The average introduction should be between 7% and 10% of your final word count. So, if your essay has 600 words, dedicate 60 of them to your first section.

2. What sentence should I start my introduction with?

It could be a shocking statement, statistics, a quote, and even a question.

3. What should I do when writing an introduction for a report?

Stay precise and objective. In this task, you don’t need to develop an individual position on a specific topic, just summarise it properly.

4. How to write an introduction for a case study?

Address the details from this case study. Depending on your prompt, mention the situation and offer ways of analysing or resolving it.

5. What should I do when writing an introduction for a dissertation?

This introduction will be longer. Follow our tips above, but be more detailed. Demonstrate your plan of action and research questions.

6. How to write an introduction for a maths assignment?

The rules don’t change based on assignments. Be formal and thoughtful, and introduce your topic properly by mentioning some of its background.

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How to write an introduction

What is an introduction.

 Although the exact structure of your introduction may differ according to the type of assignment, most introductions follow a similar structure which includes 4 main parts:

• Context: a short background that briefly leads the reader to the main issues relevant to the topic.
• Topic: a topic statement which establishes the main focus of the paper  (e.g. to discuss X, or to critically analyse Y).
• Outline of structure: a brief introduction to each of the main sections that will be covered in the assignment,  and the order in which they will appear.
• Argument: a thesis statement that lets the reader know the writer’s position (or evidence-based opinion) regarding the topic. This may not be required for all types of assignments, so check the assignment instructions and, if in doubt, check with your lecturer.

What does a good introduction look like?

Essay question: Should Australia invest in a high-speed rail network between major cities?

CONTEXT:    Australia ranks as one of the most sparsely populated countries in the world (The World Bank, 2014), yet it is also home to one of the busiest flightpaths on the planet, with over 54,000 flights between Melbourne and Sydney in 2018 alone (Smith, 2019). TOPIC:    The continued growth in the number of people living and working in the major population centres leads to the question of whether Australia should invest in a high-speed rail network.  ARGUMENT:   This paper argues that a high-speed rail network between major Australian cities should be developed. Although there are considerable social and political challenges facing such an endeavour, the long-term benefits far outweigh the disadvantages.   OUTLINE OF   STRUCTURE:   This essay will firstly examine the history of the proposal to develop high-speed rail between Sydney and Melbourne. It will then outline some of the political, economic and environmental challenges that have prevented this endeavour from progressing in the past, before finally discussing the significant advantages that such infrastructure would provide for Australia. 

How do I write an introduction?

Ask yourself the following questions to check if your introduction is likely to be effective:

Have I given sufficient context?

In the example introduction above, background information is given in the first sentence. This builds context for the essay’s main topic and eases the reader into the topic statement. The background statement can be one or more sentences, depending on the overall word length and complexity of your assignment.

Have I included a topic statement?

The topic sentence in the example above is:

“ The continued growth in the number of people living and working in the major population centres leads to the question of whether or not Australia should invest in a high-speed rail network.”

• Notice that this looks very similar to the assignment question. A good topic sentence paraphrases the assignment question to demonstrate to the marker that you are answering the question that has been asked. It should also logically lead the reader to the thesis statement.
• An easy way to make your topic sentence clear to the reader is to begin the sentence with: “ The purpose of this paper is to discuss/critically examine/analyse….”

Have I included a thesis statement?

The thesis statement is the writer’s answer to the assignment question in one sentence. In the example above, the thesis has been expressed in the following sentence:

"This paper argues that a high-speed rail network between major Australian cities should be developed."

• Although many assignments require you to take a position (or give an opinion) on a topic, some may only require a summary or an analysis of the literature. In such cases, a thesis statement is not needed.
• Because a thesis statement involves giving an opinion, it will always be an “arguable” point, which means that other people may have a different opinion. The purpose of the assignment is to use evidence and logical reasoning to convince the reader that your position on the topic is valid.
• An easy way to make your thesis statement clear to the reader is to begin the sentence with: “ This paper/essay/report will argue that ….”

Do I have an outline?

An outline is a summary of the main points of the writer’s argument or topic and acts to inform the reader of what to expect in the body. In the example above, the following two sentences form the outline:

“This essay will firstly examine the history of the proposal to develop high speed rail between Sydney and Melbourne. It will then outline some of the political, economic and environmental challenges that have prevented this endeavour from progressing in the past, before finally discussing the significant advantages that such infrastructure would provide for Australia.”

The outline is important because it helps the reader know what to expect as they read your assignment. This means they can focus on your ideas rather than trying to work out where you are going with your discussion.  If you change your structure as you are writing, always double check your introduction to make sure they match.

What is the link between the introduction and the conclusion?

Think of the introduction and conclusion as bookends, keeping the ideas in your assignment together.  In your conclusion you can summarise your main argument (or thesis), along with the key issues you raised in the background section of the introduction.

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UTS acknowledges the Gadigal people of the Eora Nation, the Boorooberongal people of the Dharug Nation, the Bidiagal people and the Gamaygal people, upon whose ancestral lands our university stands. We would also like to pay respect to the Elders both past and present, acknowledging them as the traditional custodians of knowledge for these lands.

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How to Write an Introduction for Assignment?

Academic writing is an important part of every curriculum whether you are in high school or you are a university student. You might always be discussing the several issues and concerns about various academic writing projects you get with your friends and mentors. The objective of all such assignments is to see how better you can express yourself through words and how much you know about a subject. The best part about writing is that you can always learn and evolve. In this article, you will learn an important aspect of assignment writing that is the art of writing the introduction of an assignment.

Why an Introduction is Important in Academic Writing Assignments?

As a student, you might not be able to develop clear and concise paragraphs. If you often wonder who can do my assignment more academically then you should start with learning how to write an introduction for an assignment. Whether you are writing an essay, report or dissertation, an introductory paragraph is always required. If you prepare that paragraph well you might impress your readers from the very beginning.

Also Read : Experts Tips on College Assignment Formats & Structure with Examples

The main aim of the introductory paragraph is to provide the readers with a clear idea about the topic of your assignment.  The introduction gives a generalization about the topic before a writer narrows down their discussion. It is just like a guide to your assignment. It must also include some background details of the assignment topic and an outline of what is your opinion or argument. You will understand in a deeper sense if you go through some introduction examples.

The Ingredients of An Introduction

There are some points that one should consider to provide a good introduction to their assignment. You may not incorporate all of them but, in general, you should try including some of these points in your introductory paragraph. While you read some introduction paragraph examples try identifying which points had the writer included in them.

• Highlight the importance of the subject
• The definition of the topic being discussed
• The reason why you are writing on this topic
• An overview of your approach on the topic
• Highlight the points that you want to discuss in the assignment
• State some previous works about the topic
• State some limitations about the topic

Consider the sample introductory paragraph given below. You may see that the paragraph starts with a central issue. It gives a little background of the topic and establishes the argument that will be discussed further in the essay.

How to Write An Introduction for A Report?

So above we discussed some generalized points about the introduction of an academic assignment. Now let us see how to write an introduction for a report.

Establish A Background

You may mention something about the previous research on the topic. You may mention all the issues that you have researched about the topic and you want to discuss further in the report. This will give your readers a reason why they should read your report.

Bridging The Gap

You should also mention the gaps in the previous research and how you are making efforts to bridge those gaps. Mention what all extra information you are going to provide that will expand your reader’s knowledge.

State Your Objective

Once you have established a background state your objectives. Write your thesis statement or the hypothesis. You may discuss the structure of your report here and list all the findings of the report. The following example gives a clear idea of the format that we are discussing.

How to Write an Introduction for A Dissertation/ Thesis?

The procedure to write an introduction for a long piece of writing is generally similar to what we have discussed so far. Still, it is important to know the little details that you should take care of. Our experts always suggest the students go through the introduction example for assignment before starting their writing process. Many times students have a lot of ideas in mind but they just cannot paraphrase them. They may avail our affordable writing services at such times to seek clarity. Our writers will help them convert their ideas into a powerful piece of writing.

As far as dissertations are concerned you must focus on writing an attention-grabbing introduction because then only you will be able to convince the reader to read your paper further. If you will consider any introduction paragraph examples of dissertations you will find that the writers generally maintain suspense. They never reveal everything about their research straightaway in the introductory paragraph. Apart from the general introduction of the dissertation, you can also provide an introduction to each chapter. This will widen your scope of including references and you can always remind the reader of your purpose of writing this dissertation.

Also Read: Tips and Examples of The Conclusion Section of Assignments

Some Extra Tips from Our Experts

By now we expect that you might have understood what an introduction is, what all points you should include in an introduction and how to write an introduction for an assignment whether it is an essay, report or a dissertation. You should always remember that the introduction should be eye-catching. It should build up curiosity among the readers. Your introduction should not just restate the question of your assignment title . It should rather give your readers an outline of what is there in your assignment.

Most importantly, introduction writing is not storytelling. It should be written with a focused approach. Consider your instructor’s guidelines about the word limit of the assignment introduction and stick to it if you want to gain better marks. Do not forget to consider our experts for fresh ideas and different introduction writing examples.

Need Help with writing an introduction for an assignment?

An introduction task segment is a key element of any task or item. It’s your task’s main area. Generally, this region has only a few passages.

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