Presentation/PPT

Mathematics

Looking for advice on how to write a presentation is mathematics? Many students experience difficulties in the beginning writing because they lack confidence in their own abilities or just don’t know how to start. On our website, you can find a lot of full guides to all writing assignments out there and here is an easy step-by-step guide on how to plan, structure, and write a good math presentation. We will also provide you with a short list of interesting math presentation topics and offer you some tips on how to prepare slides and deliver a powerful presentation and impress your audience.

*The goal of math presentation is to inform an audience about a specific topic.* It can be done in a form of a lecture, a talk at a colloquium or a speech at an academic conference. Speaking in public may be scary because no one actually teaches students to deliver a speech but you will feel more confident and avoid anxiety if you take time to prepare well and follow a certain formula.

Today, most presentations make some use of visuals and the most common technique is using PowerPoint. That’s why the ability to make a PowerPoint presentation is a valuable skill which can be useful for any student and can help them succeed in the academic and professional career. But before you start making slides, you need to choose an engaging topic and write a text of your presentation. Another way to approach making your math presentation is to plan your slides and your oral presentation together because they are actually mutually supporting activities.

Writing well in math requires practice, careful composition, editing, and proofreading as well as attention to detail and target audience. Keep in mind that writing in mathematics should be clear, precise, concise, and objective. It often involves combining precise descriptions with calculations, equations, algorithms, proofs, graphs, tables, code, and more. When making your math presentations, you should communicate mathematical ideas with clarity to enhance your audience’s knowledge on the subject and provide them with insight.

The general recommendation is that you should choose a topic you are interested in. You will enjoy working on your project and your audience will notice that you are passionate about the subject of your oral presentation and will appreciate it. And you’ll feel more confident when making your presentation.

But you should also choose a topic with your target audience in mind. Your audience could be students in the class, math majors and the faculty. Remember that some people may not be familiar with your particular topic so you should determine the level of knowledge of your audience. You should tailor the complexity of your presentation to the needs of those who will listen to it. Choose a subject that you think your intended audience will like but don’t expect that they know much about it.

Here is a short list of topics for a fabulous math presentation. You may use them for inspiration.

- Fermat’s Last Theorem;
- Definite Integral as Limit of Sum;
- Theoretical and Experimental Probability;
- Representing Linear Systems with Matrices;
- General and Particular Solutions to Differential Equations;
- Second Derivatives of Parametric Equations;
- Partial Derivative and Gradient;
- Linear Dependence and Independence;
- Squeeze Theorem for Sequences;
- Applications of Integrals;
- Modeling Data Distributions;
- Extreme Value Theorem;
- Convergent and Divergent Sequences;
- Linear Combinations and Spans;
- Solving General Triangles.

Any presentation should be straightforward and logical. It’s up to you to decide how you are going to present your message but you’d better avoid complex structures. For example, you may use some basic presentation structure like this one:

- An engaging and informative
**introduction**where you present your subject; - Several
**key points**you want to cover communicated in a logical sequence; - A compelling and purposeful
**conclusion**that wraps up your talk.

In fact, structuring a math presentation doesn’t differ much from writing a report or an essay. And you should make sure that all parts of your talk are linked clearly. Now let’s discuss the parts of the basic presentation structure one by one.

In the introduction, you need to explain the content of your presentation and its purpose. It’s the most important section of your presentation because you need to gain your listeners’ interest and confidence.

If you deliver a speech in front of the people who don’t know you, you should start with introducing yourself like this:

*‘Good afternoon, my name is John and…’*

Then, you have to tell your audience what you are going to discuss and how you will approach your subject (describe, evaluate, compare, contrast etc.):

*‘I am going to explore … and I will be describing the concept … and comparing it to …’*

You should also tell about the expected outcome of your talk:

*‘I hope this explanation will provide us with a better understanding of …’*

Besides, you should explain what your listeners will need to do, for example, whether they can ask questions:

*‘At the end of my presentation, I will pass around a handout with a summary of my key points and you will be able to ask questions.’*

You may explain to your audience why you are interested in the subject, tell them an anecdote or start with a provocative question. Then you need to present your thesis statement and briefly overview your outline. You may give some background information to provide a context for your subject and define some important terms. You can also relate the subject of your math presentation to other topics.

Tired of all the guides and never-ending instructions?

You need to tell your audience about your research. Reread your research notes and choose 3 main points what you would like to make. Then think about supporting information that you can use to clarify them. Don’t try to include more than 3 ideas in a short presentation because your audience may find it hard to follow such a complex argument without the significant assistant from the presenter. You can include factual data, explanations of the processes, formulas, equations, and complex terms or provide some details about possible applications. You can clarify your argument using diagrams and support your claims with appropriate data. Try to use intuitive definitions and simple examples, avoiding technical details.

It’s important to ensure the logical flow of your presentation so you should use linking statements to highlight your next points and link them to the previous ideas. They will show how your major points fit together and will help your audience follow your logic. You may say:

‘The next stage in our research was …’

‘I will begin by explaining …’

‘Another important aspect to consider is …’

An effective conclusion is your last chance to impress your audience and make your math presentation memorable. In this part of your talk, you should provide a summary of your content, remind about the purpose of your talk, and briefly overview what you managed to achieve. Remember that your listeners won’t remember your entire presentation in mathematics – they can remember only the key ideas so you should review and reinforce them. After that, you can give your listeners some recommendations about taking this work further and thank your audience for their attention. Finally, you should invite them to ask questions or comment on your ideas.

When you prepare PowerPoint slides, you need to organize the key information in bulleted lists. You should tailor the number of the slides and their order to the content of your presentation. The first slide should act like the title page and include the title of your presentation, your name, the name of your university, and the date. Make sure that your title is short and informative. You can also include an abstract where you may indicate the level of your presentation but you don’t need to read this slide aloud. For example, you may write:

*‘This presentation is suitable for those who have studied exponential and logarithmic functions.’*

Devote the next several slides to introduction or background information. Then make some slides showing the results of your investigation and include supporting output and graphs. Continue presentation with a conclusion where you tell about some strength and weaknesses or outline the future study. Your last slides should be devoted to references.

Follow these tips to make your slides visually appealing:

- Don’t include too much information on one slide because too many definition and formulas are hard to follow;
- Place only one idea on one slide. Write not more than 6 words per line and 6 lines per slide;
- Use a very large font (at least 24 pt) consistently for all slides;
- Use multiple colors to organize your information to help your views understand it;
- Use key words and key phrases instead of sentences;
- Include tables, graphs, charts, models, lists, and animations;
- Use images and accompany them by a small amount of words;
- Don’t make too many slides. Make one slide per minute of your oral presentation;
- Be careful with colors and designs and resist the temptation to include lots of slide builds because they may distract your audience.

When you finish the final draft of your presentation in mathematics, you should review it and edit to ensure that your ideas are conveyed in the most effective way.

- First, check your language and remove jargon and complicated terms. Try to keep technical terms to a minimum. If you use some of them several times, try to remind your audience about their specific meaning from time to time.
- Use thesaurus and a good dictionary to enhance word choice – replace generic words with more specific ones.
- Check your sentences and keep their structures simple. Remember that people will be listening to your ideas and not reading.
- Check the logical flow and improve it to ensure that your audience will be able to follow your argument and draw the conclusions for themselves.
- Check spelling, grammar, and punctuation and make sure that your slides, illustrations, captions, titles, etc. are error-free.

You should practice delivering your presentation in advance with a real audience even if it is one person (or your cat). And you should do it several times to make sure that your talk fits within the time parameters. A good idea is to prepare prompts that will help you remember what to say next and will prevent you from reading your presentation. In this way, you will increase your credibility as a speaker. Create small cue cards with lists of main points, supporting details, and examples and number your cards to see their sequence. You will feel more confident if you rehearse your presentation in front of the mirror. In this way, you will learn to control your posture and your body language.

Any oral presentation is actually a performance. If you want to impress your audience, you should do your best to act as a confident speaker. Many people feel nervous when they have to deliver a talk in front of an audience so it’s quite natural if you feel worried too. Being well-prepared will help you reduce anxiety. That’s why you should rehearse a lot and make sure that your cue cards are arranged in the right order. Besides, you should check that all visuals work properly.

When giving your math presentation, you should smile so at least, you will appear relaxed. It’s better to speak using a formal but a conversational tone and avoid colloquial language. You should slow down or make pauses to emphasize important points.

We hope that our easy guide will help you prepare and deliver an effective oral presentation in mathematics that will make a great impact on your audience. Follow these useful tips to feel more confident during your math presentation and you are sure to succeed.