I have just started a course in algorithms and in the first class our prof said that a recurring theme in study of algorithms is the lengths to which mathematicians and computer scientists will go to make an algorithm more efficient by making a variant which is so much more complex than the original one. He gave a classic example of this by ndescribing first the matrix multiplication algorithm with O(n3) time complexity and then a much more difficult to understand Strassen algorithm to do the same with O(nlog2(7)) time complexity (not a very impressive improvement at first glance).

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Prodigy Math provides comprehensive math curriculum coverage, including Common Core, TEKS and many more state-specific standards. Prodigy English also aligns with Common Core, with more skills and coverage on the way!

Egrafov, M.

 If you ask mathematicians what they do,you always get the same answer. They think. They think about difficultand unusual problems. They do not think about ordinary problems: theyjust write down the answers.


When students become active doers of mathematics, the greatest gains of their mathematical thinking can be realized. NCTM members can engage with PreK-12 resources to support the implementation of the Notice and Wonder strategy on this webpage.


Check out our new library of Notice and Wonder Lesson Plans!

This extensive library hosts sets of math problems suitable for students PreK-12. The resources span multiple topics and members have access to the over 1,000 problems and supporting materials!


Share how you use NCTM's Problems of the Week in your classroom by tagging @NCTMResources on Twitter!


These stories and lesson sketches, focused in the middle and high school grades, are meant to help your students extend their view of the world a little bit by using math to make sense of experiences in daily life.

Figure This! demonstrates challenging middle school mathematics and emphasizes the importance of high-quality math education for each and every student. Find interesting math challenges that middle-school students can do at home with their families. These challenges are free to members and non-members!

ARCs are Activities with Rigor and Coherence that span grades K-8. Each ARC is a series of lessons that addresses a mathematical topic and demonstrates the vision of Principles to Actions: Ensuring Mathematical Success for All.

Our distinctive manipulatives allow abstract math concepts to be represented in clear, relatable ways, which enables students to develop a concrete understanding of mathematical concepts. Students use these manipulatives at every stage of their learning, from early number sense through quadratic equations.

The Accelerated Individualized Mastery (AIM) programs provide a solution for students who are struggling because of gaps in their foundational math skill set. These supplemental programs use proven Math-U-See strategies and manipulatives in combination with an accelerated approach, allowing students to quickly move through a skill set they have not yet mastered.

If you are a first year student interested in mathematics, mathematical economics, statistics, or data science, and would like to be added to our email list serv, send a request to Kathy Rothert, krothert@richmond.edu.

For UR mathematics professor Michael Kerckhove, math is all around. And a big part of his strategy as an educator is encouraging students to think about the math they see every day.


For example: geese and basketball games.

Bill Ross, professor of mathematics and Roger Francis and Mary Saunders Richardson Chair in Mathematics, received a $30,000 grant from the National Science Foundation to host the annual Virginia Operator Theory and Complex Analysis Meeting. Ross is the founder of VOTCAM, which has been held at colleges and universities in Virginia for more than 30 years. Learn more.

Joanna Wares, associate professor of mathematics, presented "One Ginger's Thoughts on Higher Education" as the BIO-SIGMAA Speaker at the 17th Annual Symposium on BEER (Biomathematics and Ecology Education and Research).

Heather M. Russell, associate professor of mathematics, and Prateek Bhakta, associate professor of computer science, together with former UR colleague Sara Krehbiel and UR alums Rachel Morris '20, Aalok Sathe '21, Wesley Su '20, and Maxine Xin '20, published "Block symmetries in graph coloring reconfiguration systems" in Advances in Applied Mathematics.

The program is designed to empower students with the data analysis skills to increase their competitiveness in the job market amidst the growing data revolution. Geared toward programmers, analysts, mathematicians and statisticians, the program is also useful for non-statistics graduates who want to enhance their applied-statistics knowledge base.

Math Innovation Zones is a four-year process to design, launch, scale, and sustain a high-quality blended learning model in math throughout a K-8 feeder pattern. Blended learning is defined by the Clayton Christensen Institute as:

Math Innovation Zones (MIZ) is a four-year process to design, launch, and scale a high-quality blended learning program in K-8 math. Beginning with a planning year in year 0, districts and charters will grow the blended learning program from a subset of grades in year 1 to a full feeder pattern implementation in 4 years. MIZ is managed with a focus on fidelity of implementation (FOI) in both planning and execution, with the goal of designing and implementing a sustainable and high-quality program. MIZ is a part of the Blended Learning Grant Program (BLGP).

ST Math starts by teaching the foundational concepts visually, then connects the ideas to the symbols and language. With visual learning, students are better equipped to tackle unfamiliar math problems, recognize patterns, and build conceptual understanding. Without language barriers, the problem is accessible to all students, regardless of skill level or language background.

Across the country, ST Math schools are living proof that an effective digital learning program can make a real impact. Schools using ST Math have repeatedly proven to double or triple their growth in math proficiency.

The NYS Math and Science Teaching Incentive Program is offered to encourage students to pursue careers as math and science teachers in secondary education (grades 7-12). Awards are made to students attending school at the undergraduate and/or graduate degree level in exchange for five years of full-time employment as math or science teachers in secondary education in NYS.

A recipient is entitled to annual award payments for not more than four academic years of full-time undergraduate study and one academic year of full-time graduate study while matriculated in an approved program leading to permanent certification as a math or science teacher in secondary education.

Successful teaching and learning of mathematics play an important role in ensuring that students have the right skills required to compete in a 21st century global economy. When properly implemented and coupled with opportunities for students to engage in mathematical investigation, communication and problem solving, rigorous mathematics standards hold the promise of elevating the mathematical knowledge and skill of every learner to levels competitive with the best in the world, of preparing our college entrants to undertake advanced work in the mathematical sciences, and of readying the next generation for the jobs their world will demand.

A New Jersey education in Mathematics builds quantitatively and analytically literate citizens prepared to meet the demands of college and career, and to engage productively in an information-driven society. All students will have access to a high-quality mathematics education that fosters a population that:

The Operations and Algebraic Thinking domain deals with the basic operations, the kinds of quantitative relationships they model, and consequently the kinds of problems they can be used to solve as well as their mathematical properties and relationships. Although most of the standards organized under this heading involve whole numbers, the domain includes concepts, properties, and representations that extend to other number systems, to measures, and to algebra. e24fc04721

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