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Math word problems require interpreting what is being asked and simplifying that into a basic math equation. Once you have the equation you can then enter that into the problem solver as a basic math or algebra question to be correctly solved. Below are math word problem examples and their simplified forms.
Word Problem: Rachel has 17 apples. She gives some to Sarah. Sarah now has 8 apples. How many apples did Rachel give her?
Simplified Equation: 17 - x = 8
Word Problem: Rhonda has 12 marbles more than Douglas. Douglas has 6 marbles more than Bertha. Rhonda has twice as many marbles as Bertha has. How many marbles does Douglas have?
Variables: Rhonda's marbles is represented by (r), Douglas' marbles is represented by (d) and Bertha's marbles is represented by (b)
Simplified Equation: {r = d + 12, d = b + 6, r = 2 �� b}
Word Problem: if there are 40 cookies all together and Angela takes 10 and Brett takes 5 how many are left?
Simplified: 40 - 10 - 5
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- \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe?}
- \mathrm{Kira\:went\:for\:a\:drive\:in\:her\:new\:car.\:She\:drove\:for\:142.5\:miles\:at\:a\:speed\:of\:57\:mph.\:For\:how\:many\:hours\:did\:she\:drive?}
- \mathrm{The\:sum\:of\:two\:numbers\:is\:249\:.\:Twice\:the\:larger\:number\:plus\:three\:times\:the\:smaller\:number\:is\:591\:.\:Find\:the\:numbers.}
- \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
- \mathrm{You\:deposit\:3000\:in\:an\:account\:earning\:2\%\:interest\:compounded\:monthly.\:How\:much\:will\:you\:have\:in\:the\:account\:in\:15\:years?}
- How do you solve word problems?
- To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
- How do you identify word problems in math?
- Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
- Is there a calculator that can solve word problems?
- Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
- What is an age problem?
- An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as 'x years ago,' 'in y years,' or 'y years later,' which indicate that the problem is related to time and age.
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The May 2024 issue of IEEE Spectrum is here!
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Ieee spectrum, follow ieee spectrum, support ieee spectrum, enjoy more free content and benefits by creating an account, saving articles to read later requires an ieee spectrum account, the institute content is only available for members, downloading full pdf issues is exclusive for ieee members, downloading this e-book is exclusive for ieee members, access to spectrum 's digital edition is exclusive for ieee members, following topics is a feature exclusive for ieee members, adding your response to an article requires an ieee spectrum account, create an account to access more content and features on ieee spectrum , including the ability to save articles to read later, download spectrum collections, and participate in conversations with readers and editors. for more exclusive content and features, consider joining ieee ., join the worldâs largest professional organization devoted to engineering and applied sciences and get access to all of spectrumâs articles, archives, pdf downloads, and other benefits. learn more â, join the worldâs largest professional organization devoted to engineering and applied sciences and get access to this e-book plus all of ieee spectrumâs articles, archives, pdf downloads, and other benefits. learn more â, access thousands of articles â completely free, create an account and get exclusive content and features: save articles, download collections, and talk to tech insiders â all free for full access and benefits, join ieee as a paying member., ai copilots are changing how coding is taught, professors are shifting away from syntax and emphasizing higher-level skills.
Generative AI is transforming the software development industry. AI-powered coding tools are assisting programmers in their workflows, while jobs in AI continue to increase. But the shift is also evident in academiaâone of the major avenues through which the next generation of software engineers learn how to code.
Computer science students are embracing the technology, using generative AI to help them understand complex concepts, summarize complicated research papers, brainstorm ways to solve a problem, come up with new research directions, and, of course, learn how to code.
âStudents are early adopters and have been actively testing these tools,â says Johnny Chang , a teaching assistant at Stanford University pursuing a masterâs degree in computer science. He also founded the AI x Education conference in 2023, a virtual gathering of students and educators to discuss the impact of AI on education.
So as not to be left behind, educators are also experimenting with generative AI. But theyâre grappling with techniques to adopt the technology while still ensuring students learn the foundations of computer science.
âItâs a difficult balancing act,â says Ooi Wei Tsang , an associate professor in the School of Computing at the National University of Singapore . âGiven that large language models are evolving rapidly, we are still learning how to do this.â
Less Emphasis on Syntax, More on Problem Solving
The fundamentals and skills themselves are evolving. Most introductory computer science courses focus on code syntax and getting programs to run, and while knowing how to read and write code is still essential, testing and debuggingâwhich arenât commonly part of the syllabusânow need to be taught more explicitly.
âWeâre seeing a little upping of that skill, where students are getting code snippets from generative AI that they need to test for correctness,â says Jeanna Matthews , a professor of computer science at Clarkson University in Potsdam, N.Y.
Another vital expertise is problem decomposition. âThis is a skill to know early on because you need to break a large problem into smaller pieces that an LLM can solve,â says Leo Porter , an associate teaching professor of computer science at the University of California, San Diego . âItâs hard to find where in the curriculum thatâs taughtâmaybe in an algorithms or software engineering class, but those are advanced classes. Now, it becomes a priority in introductory classes.â
âGiven that large language models are evolving rapidly, we are still learning how to do this.â âOoi Wei Tsang, National University of Singapore
As a result, educators are modifying their teaching strategies. âI used to have this singular focus on students writing code that they submit, and then I run test cases on the code to determine what their grade is,â says Daniel Zingaro , an associate professor of computer science at the University of Toronto Mississauga . âThis is such a narrow view of what it means to be a software engineer, and I just felt that with generative AI, Iâve managed to overcome that restrictive view.â
Zingaro, who coauthored a book on AI-assisted Python programming with Porter, now has his students work in groups and submit a video explaining how their code works. Through these walk-throughs, he gets a sense of how students use AI to generate code, what they struggle with, and how they approach design, testing, and teamwork.
âItâs an opportunity for me to assess their learning process of the whole software development [life cycle]ânot just code,â Zingaro says. âAnd I feel like my courses have opened up more and theyâre much broader than they used to be. I can make students work on larger and more advanced projects.â
Ooi echoes that sentiment, noting that generative AI tools âwill free up time for us to teach higher-level thinkingâfor example, how to design software, what is the right problem to solve, and what are the solutions. Students can spend more time on optimization, ethical issues, and the user-friendliness of a system rather than focusing on the syntax of the code.â
Avoiding AIâs Coding Pitfalls
But educators are cautious given an LLMâs tendency to hallucinate . âWe need to be teaching students to be skeptical of the results and take ownership of verifying and validating them,â says Matthews.
Matthews adds that generative AI âcan short-circuit the learning process of students relying on it too much.â Chang agrees that this overreliance can be a pitfall and advises his fellow students to explore possible solutions to problems by themselves so they donât lose out on that critical thinking or effective learning process. âWe should be making AI a copilotânot the autopilotâfor learning,â he says.
âWe should be making AI a copilotânot the autopilotâfor learning.â âJohnny Chang, Stanford University
Other drawbacks include copyright and bias. âI teach my students about the ethical constraintsâthat this is a model built off other peopleâs code and weâd recognize the ownership of that,â Porter says. âWe also have to recognize that models are going to represent the bias thatâs already in society.â
Adapting to the rise of generative AI involves students and educators working together and learning from each other. For her colleagues, Matthewsâs advice is to âtry to foster an environment where you encourage students to tell you when and how theyâre using these tools. Ultimately, we are preparing our students for the real world, and the real world is shifting, so sticking with what youâve always done may not be the recipe that best serves students in this transition.â
Porter is optimistic that the changes theyâre applying now will serve students well in the future. âThereâs this long history of a gap between what we teach in academia and whatâs actually needed as skills when students arrive in the industry,â he says. âThereâs hope on my part that we might help close the gap if we embrace LLMs.â
- How Coders Can Surviveâand Thriveâin a ChatGPT World âş
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Rina Diane Caballar is a writer covering tech and its intersections with science, society, and the environment. An IEEE Spectrum Contributing Editor, she's a former software engineer based in Wellington, New Zealand.
Yes! Great summary of how things are evolving with AI. Iâm a retired coder (BS comp sci) and understand the fundamentals of developing systems. Learning the lastest systems is now the greatest challenge. I was intrigued by Ansible to help me manage my homelab cluster, but who wants to learn one more scripting language? Turns out ChatGPT4 knows the syntax, semantics, and work flow of Ansible and all I do is tell is to âinstall log2ram on all my proxmox serversâ and I get a playbook that does just that. The same with Docker Compose scripts. Wow.
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The Protesters and the President
Over the past week, thousands of students protesting the war in gaza have been arrested..
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Over the past week, students at dozens of universities held demonstrations, set up encampments and, at times, seized academic buildings. In response, administrators at many of those colleges decided to crack down and called in the local police to detain and arrest demonstrators.
As of Thursday, the police had arrested 2,000 people across more than 40 campuses, a situation so startling that President Biden could no longer ignore it.
Jonathan Wolfe, who has been covering the student protests for The Times, and Peter Baker, the chief White House correspondent, discuss the history-making week.
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Jonathan Wolfe , a senior staff editor on the newsletters team at The New York Times.
Peter Baker , the chief White House correspondent for The New York Times covering President Biden and his administration.
Background reading
As crews cleared the remnants of an encampment at U.C.L.A., students and faculty members wondered how the university could have handled protests over the war in Gaza so badly .
Biden denounced violence on campus , breaking his silence after a rash of arrests.
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