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Mathematics Learning Platform

Platform features.

All of CPM's Core Connections curriculum are online and in an easy to use digital format. Use as a direct replacement for printed textbooks or as a companion. CPM eBooks work across all device types and are always there when you need them.

Integrated formative assessment - Students submit work directly from their eBook for specific, individualized teacher feedback. And with the built in teacher dashboard, scalable teacher feedback has never been easier. Ready to activate now?

Assessments

CPM continues to offer an extensive assessment bank for all of the CPM Core Connections curriculum. Use pre-made tests or create custom formative or summative assessments to accommodate learning needs specific to your classroom.

eTools & Desmos

Choose from a collection of CPM proprietary tools such as algebra tiles and integer tiles, or integrated Desmos activities to enhance any lesson.

Homework Help

Online step-by-step support for homework problems. CPM helps students and parents help themselves when practicing their math abilities at home.

Turn-key Integrations

Always be ready for class to begin. With CPM's automated rostering, SSO and LMS integrations, CPM's integration services lets you focus your time on teaching.

EdTech for the classroom

Never reset a password again. Support for SAML, Google, Office 365, Clever, ClassLink, and LTI SSO.

Automated Rostering

Simple to use integration wizard supports PowerSchool and OneRoster CSV and 1.1 compliant providers. This includes most SIS platforms and ClassLink.

Learning Management Systems (LMS)

Go beyond just SSO. CPM's integration services support advanced features such as loading a specific eBook lesson directly within your LMS lesson page. *LTI 1.3 compliant platforms

Online Assessments

Edulastic subscribers now have access to CPM's assessment bank for full online administration and syncronization with your gradebook.

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Empower Teachers

Instruction.

Our empowering professional learning program seeks to enable teachers to build confidence in the mathematical content, plan lessons purposefully, and assess understanding.

Register for in-person events and live remote sessions or access asynchronous content modules and support resources all in one place.

Accreditation

CPM is a fully accredited member of the Middle States Association Commissions on Elementary and Secondary Schools.

Testimonials

It's harder to work through the problem than being given the answer. But when I was looking at my required college curriculum, I realized that this work helped me prepare better for college. You understand the methods for solving the problem, instead of a teacher handing you the formula. You understand why it works that way.

Senior, (4th year of CPM)

We are already seeing the benefits of the program (after 3 years). Students seem to be better prepared for higher level math courses and stronger results are showing up on various standardized tests.

Peter, Director of Curriculum and Instruction

My daughter has always struggled with mathematics. But with CPM she began to like math and really understands what she is learning. All of the hands-on learning tools, like the Algebra tiles, have really helped her to finally succeed in math class.

Parent of CPM Student

One of the main things I've heard from the teachers is that the structure of the lessons gives them the ability to quickly identify how individuals, small groups and the entire class are doing during a lesson. As a result the teachers are able to interact with students or facilitate activities to provide immediate responses. Students are less likely to fall through the cracks and students continue to progress at a productive pace.

Travis, Math Coordinator

Students are organized into study teams and work on problem-based applications, team strategies and real-world applications. Many algebra teachers feel reenergized and are having more fun teaching math with the CPM approach. Algebra classes focus on both basic skills and problem solving strategies that are used to help students relate to and understand the concepts behind the problems. Our students are being taught Algebra in a more rigorous and relevant manner. It's really about discovering the math, rather than being told the math.

Julie, Assistant Principal

Sahuarita, AZ school district

Ready to Learn More

Thousands of school districts trust CPM to provide effective math curriculum and professional development. Learn why.

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McGraw Hill My Math

Reveal the Future of Math Learning

Empower students to own their learning with Reveal Math , a new program featuring fresh content and an instructional design that encourages curiosity and exploration.

McGraw-Hill My Math : A PreK–5 Math Curriculum

Maximize every learning moment​

The McGraw-Hill My Math Learning Solution provides an easy and flexible way to diagnose and fill gaps in understanding so that all students can meet grade-level expectations – and accelerate beyond:​

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XYZ Textbooks was founded by an academically-honored lifelong math teacher, and our focus has been exclusively on math from day one. Just as XYZ students progress through practice, our commitment to the subject has given us a level of expertise no other educational provider can promise.

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We believe learning math should not put a minus sign in front of student bank balances. Since 2010, we've been supplying economical, expertly written, integrated texts and online tools that help students achieve success in the classroom. With the goal of mastering the fundamentals, our materials are designed to build critical thinking skills and enhance students' perception of themselves as problem solvers.

Learn more about how our approach is different and why that can make a world of difference to both you and your students. Once you see our titles you'll understand why we have such a passionate following.

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From the beginning, we've stood by three principles that are instrumental to empowering all math students to progress to the next level., progress through practice.

More enjoyable tasks are more eagerly undertaken. The XYZ approach —our "spoonful of sugar"—is to break-down mathematical concepts using easy-to-digest basics, then rewarding students for incremental progress, encouraging them to strive for the next level. A large majority of our students swear by our methods, as you'll soon see.

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XYZ Textbooks develops its materials with continuous input from both instructors and students of all ages and backgrounds. This enables us to tailor the textbooks, tutorials and homework to be both inviting and effective. In fact, nearly 70% of students prefer XYZ Textbooks to other math materials they've used in college

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All the extra assistance offered helped me get an A in my class.

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Everything You Need To Know About Math Homework (Evertything You Need To Know..)

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Kate Kelly

Everything You Need To Know About Math Homework (Evertything You Need To Know..) Paperback – August 1, 1997

  • Reading age 8 - 12 years
  • Print length 144 pages
  • Language English
  • Grade level 4 - 7
  • Dimensions 0.24 x 9.02 x 10.75 inches
  • Publisher Scholastic Reference
  • Publication date August 1, 1997
  • ISBN-10 0590493590
  • ISBN-13 978-0590493598
  • See all details

Editorial Reviews

Amazon.com review, product details.

  • Publisher ‏ : ‎ Scholastic Reference (August 1, 1997)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 144 pages
  • ISBN-10 ‏ : ‎ 0590493590
  • ISBN-13 ‏ : ‎ 978-0590493598
  • Reading age ‏ : ‎ 8 - 12 years
  • Grade level ‏ : ‎ 4 - 7
  • Item Weight ‏ : ‎ 15.2 ounces
  • Dimensions ‏ : ‎ 0.24 x 9.02 x 10.75 inches
  • #384 in Mathematics Reference (Books)
  • #4,359 in Children's Math Books (Books)

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Customers find the book a great reference for teaching new math. They say it's helpful for homeschoolers and good for fun class facts. Readers also mention the book is easy to understand and read, providing basic explanations.

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Customers find the book a great reference for teaching new math. They say it's helpful for multiple grade levels and good for fun class facts.

"Speedy delivery, great packaging.. The book is another great reference book for teaching the newer math...." Read more

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Purplemath's lessons cost nothing! These lessons are free, are intended for students (rather than for instructors), and are interlinked to help you find related material. There is a "Search" box on every page to help you find whatever math content you're looking for — without encountering ads masquerading as search results. Whether you're in middle school, high school, college, or university, these free algebra lessons can help you out!

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English teachers tell their students explicitly how to format their papers: what fonts, what page margins, what style guides, etc. Math teachers, on the other hand, frequently just complain amongst themselves in the faculty lounge about how messy their students' work is. Meanwhile, their students wonder why they've lost points on homework and tests.

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Personalized Help ($): Investigate hiring a qualified tutor in your local area (US only), or try e-mail tutoring from Purplemath's author. But for in-depth, quality, video-supported, at-home help, including self-testing and immediate feedback, try MathHelp.com . MathHelp.com comes highly recommended by homeschoolers, military service members, and other practical people. If you're needing more intensive help, give MathHelp.com a try!

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Free Math Worksheets — Over 100k free practice problems on Khan Academy

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That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

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Frequently Asked Questions about Khan Academy and Math Worksheets

Why is khan academy even better than traditional math worksheets.

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September 19, 2024

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Study reveals impact of homework on student achievement in math and science

by Maynooth University

math homework

Researchers at Maynooth University's Hamilton Institute and Department of Mathematics and Statistics in Ireland have unveiled significant findings on the role of homework in student achievement. The research, led by Prof Andrew Parnell, Nathan McJames and Prof Ann O'Shea, used a new AI model to analyze data from the "Trends in International Mathematics and Science Study" (TIMSS 2019).

Focusing on 4,118 Irish students in their second year of secondary school, the research assessed the impact of varying homework patterns on their mathematics and science performance.

The study titled, "Little and often: Causal inference machine learning demonstrates the benefits of homework for improving achievement in mathematics and science" was published in the journal Learning and Instruction .

It offers new evidence on how homework frequency and duration affect academic performance among Irish secondary school students.

Frequency over duration

The study highlights that the frequency of homework is more important than its duration. Daily homework assignments were found to be most effective for improving mathematics achievement, while science performance benefited most from homework assigned three to four times a week.

Effectiveness of shorter assignments

Short-duration homework tasks, lasting up to 15 minutes, were shown to be just as effective as longer assignments. This suggests that regular, concise homework can promote learning without overwhelming students with excessive work.

Equity in benefits

Contrary to previous research, this study found that all students, regardless of socioeconomic background, experienced similar benefits from homework, indicating equitable advantages across diverse student populations. The researchers advocate for homework policies prioritizing regular, short-duration assignments to optimize student engagement and academic success without causing undue stress.

Nathan McJames, the lead author, commented, "Our study provides strong evidence that regular homework can significantly enhance student performance, especially when given 'little and often'. By avoiding very long homework assignments, this also allows students to balance schoolwork with other important activities outside of school."

Prof Andrew Parnell added, "Our use of advanced causal inference methods ensures the reliability of our findings. This research provides valuable insights that can guide evidence-based policy changes in education, ultimately benefiting students across the board."

Journal information: Learning and Instruction

Provided by Maynooth University

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Browse Course Material

Course info.

  • Prof. Pavel Etingof

Departments

  • Mathematics

As Taught In

  • Algebra and Number Theory
  • Applied Mathematics
  • Topology and Geometry
  • Quantum Mechanics

Learning Resource Types

Geometry and quantum field theory.

Homework is assigned at the beginning of each week and due at the end of the week. The lecture notes PDFs contain both exercises and lectures.

Homework 1: Exercises in Week 1 Lecture Notes (PDF)  

Homework 2: Exercises in Week 2 Lecture Notes (PDF)  

Homework 3: Exercises in Week 3 Lecture Notes (PDF)  

Homework 4: Exercises in Week 4 Lecture Notes (PDF)  

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Homework 9: Exercises in Week 9 Lecture Notes (PDF)  

Homework 10: Exercises in Week 10 Lecture Notes (PDF)  

Homework 11: Exercises in Week 11 Lecture Notes (PDF)  

Homework 12: Exercises in Week 12 Lecture Notes (PDF)  

Homework 13: Exercises in Week 13 Lecture Notes (PDF)

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We could be mathier —

A handy guide to the universal language for the mathematically perplexed, ars chats with ben orlin about his new book, math for english majors ..

Jennifer Ouellette - Sep 19, 2024 5:45 pm UTC

cover of book

Galileo once famously described the universe as a great book "written in mathematical language and its characters are triangles, circles, and other geometrical figures." Unfortunately, it's a language that many people outside of math and science simply do not speak, largely because they are flummoxed and/or intimidated by the sheer density of all that strange symbolic notation.

Math teacher extraordinaire Ben Orlin is here to help with his latest book: Math for English Majors: A Human Take on the Universal Language . And just like Orlin's previous outings, it's filled with the author's trademark bad drawings. Bonus: Orlin created a fun personality quiz, which you can take here to find out your mathematical style.

Orlin's first book, Math with Bad Drawings , after his blog of the same name, was published in 2018. It included such highlights as placing a discussion of the correlation coefficient and " Anscombe's Quartet " into the world of Harry Potter and arguing that building the Death Star in the shape of a sphere may not have been the Galactic Empire's wisest move. We declared it "a great, entertaining read for neophytes and math fans alike, because Orlin excels at finding novel ways to connect the math to real-world problems—or in the case of the Death Star, to problems in fictional worlds."

Further Reading

In 2019, Orlin took on the challenge of conveying the usefulness and beauty of calculus with tall tales, witty asides, and even more bad drawings in  Change Is the Only Constant: The Wisdom of Calculus in a Madcap World . That book is a colorful collection of 28 mathematical tales connecting concepts in calculus to art, literature, and all manner of things human beings grapple with on a daily basis.

Orlin's most recent book was 2022's Math Games with Bad Drawings —less a book one reads cover to cover and more a chance for readers to browse randomly at their leisure to find the games best suited to their particular tastes and skills, such as Jotto , a logic-oriented word game invented in 1955 that is similar to Wordle . There were five different categories of games: spatial games, number games, combination games, games of risk and reward, and information games. All could be played with just a few common household items: pencil and paper, coins, colored pens, standard dice, Goldfish crackers, paper clips, your hands, and occasionally an Internet connection. (You can try your hand at a game of Quantum Go Fish here .)

Unlike his prior books, where he carefully avoided most mathematical notation, Math for English Majors is designed to teach readers how to read and interpret mathematical symbols, proofs, and mathematical diagrams. His original vision was to write the math-y equivalent to Lynne Truss' bestselling Eats, Shoots & Leaves . "It's a very playful book about English punctuation that weaves together fun stories about the comma, the semicolon, and the dash," Orlin told Ars. "But I found that math is just a fundamentally different sort of language, and that template didn't quite work for me."

Some elements of that earlier vision remain: Math for English Majors talks about numbers as nouns, verbs as calculations, and algebra as grammar, highlighting certain idioms ("exponential") and etymologies ("squaring") for good measure.

But Orlin's main objective is to reconcile the expert's view of math, "where the notation vanishes and you're just focusing on the ideas that the notation conveys," with the beginner's experience of math, "where you can't even access the ideas because there's this thick wall of symbolism in the way." Math, says Orlin, is both "a collection of beautiful ideas and a language for expressing those ideas." His approach is the opposite of the usual popularizations of math, where ideas are translated into plain English and notation is largely avoided. Here, the notation is the primary focus.

Ars spoke with Orlin to learn more.

book homework math

Ars Technica: People who are not mathematically inclined usually see all those abstract symbols and their eyes glaze over. Let's talk about the nature of symbols in math and why becoming more familiar with mathematical notation can help non-math people surmount that language barrier.  

Ben Orlin : It's tricky. When I first became a teacher, I was mostly trying to push against students who'd only learned symbol manipulation procedures and didn't have any sense of how to read and access the information behind them. It always mystified me: why do we teach that way? You end up with very bright, clever students, and all we're giving them is hundreds of hours of practice in symbol manipulation. But what is a quadratic? They can't really tell you.

One of the things I've gradually come to accept is that it's almost baked into the language that mathematical notation has developed specifically for the purpose of manipulating it without thinking hard about it. If you've had the right set of experiences leading into that, that's very convenient, because it means that when you sit down to solve a problem, you don't have to solve it like Archimedes with lots of brilliant one-off steps where you just have gorgeous geometric intuition about everything. You can just be like, "Okay, I'm going to crank through the symbol manipulation procedures." So there's a real power in those procedures. They're really valuable and important.

But if it's all you have, then you're doing a dance where you know the moves, but you've never heard the music. You can't troubleshoot. Sometimes I wish as a teacher, you could just say, "Look, the symbol manipulation procedures are worthless. We can just skip those and focus on the ideas." But they're tangled up in a much more complex way. So somehow you have to climb in there with the students and move back and forth between the things that are happening on the page and the ideas that are unfolding in some kind of higher space.

That's the place this book eventually gets to. But I go there gradually, because you need a lot of experience with symbols that make sense to you before you can feel comfortable when you do manipulations on a page.

reader comments

Channel ars technica.

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