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This subreddit is for discussion of mathematics. All posts and comments should be directly related to mathematics, including topics related to the practice, profession and community of mathematics. Please read the FAQ and the rules below before posting.


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If you're asking for help understanding something mathematical, post in the Quick Questions thread or /r/learnmath. This includes reference requests - also see our lists of recommended books and free online resources. Here is a more recent thread with book recommendations.

In particular, any political discussion on r/math should be directly related to mathematics - all threads and comments should be about concrete events and how they affect mathematics. Please avoid derailing such discussions into general political discussion, and report any comments that do so.

If you're asking for help learning/understanding something, post in the Quick Questions thread or r/learnmath. This includes reference requests - see also our list of free online resources and recommended books.

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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.


Math Games offers online games and printable worksheets to make learning math fun. Kids from pre-K to 8th grade can practice math skills recommended by the Common Core State Standards in exciting game formats. Never associated learning algebra with rescuing animals or destroying zombies? Time to think again!

Teachers and parents can create custom assignments that assess or review particular math skills. Activities are tailored so pupils work at appropriate grade levels. Worksheets can be downloaded and printed for classroom use, or activities can be completed and automatically graded online.

In 2022, the average fourth-grade mathematics score decreased by 5 points and was lower than all previous assessment years going back to 2005; the average score was one point higher compared to 2003. The average eighth-grade mathematics score decreased by 8 points compared to 2019 and was lower than all previous assessment years going back to 2003. In 2022, fourth- and eighth-grade mathematics scores declined for most states/jurisdictions as well as for most participating urban districts compared to 2019. Average scores are reported on NAEP mathematics scales at grades 4 and 8 that range from 0 to 500.

The Trial Urban District Assessment (TUDA) is intended to focus attention on urban education and measure educational progress within participating districts. Fourth-graders in 26 urban districts participated in the mathematics assessment in 2022. TUDA district results are compared to results of public school students in large cities with a population of 250,000 or more.

In 2022, average mathematics scores declined in 23 of 26 districts compared to 2019, with declines ranging from 4 to 15 points. The average score for large city schools declined 8 points compared to 2019. Among the 23 districts with score declines, 9 scored lower than the average for large city schools; 10 districts had average scores that were not significantly different from the large city average, and 4 scored higher.

Eighteen of the 23 districts with mathematics score declines between 2019 and 2022 had average scores that were within the NAEP Basic range in 2022. Five districts with declines scored below NAEP Basic; among these districts, four of them shifted the average scores from within the NAEP Basic range in 2019 to below NAEP Basic in 2022.

In 2022, fourth-grade mathematics scores declined at all five selected percentiles for the first time since the initial mathematics assessment in 1990. The magnitude of score declines for lower-performing students at the 10th and 25th percentiles (7 and 6 points, respectively) were greater than the declines for higher-performing students at the 75th and 90th percentiles (3 and 2 points, respectively).

In 2022, average fourth-grade mathematics scores decreased for most student groups in comparison to 2019. For example, looking at racial/ethnic groups, scores declined for American Indian/Alaska native, Asian, Black, and Hispanic students, students of Two or More Races, and White students.

The score gaps between White students and their Black and Hispanic peers were larger in 2022 than in 2019. Greater score declines in mathematics from 2019 to 2022 for Black and Hispanic students contributed to a widening of the score gaps between these groups and their White peers. See detailed student score gap results in the mathematics report card.

The Trial Urban District Assessment (TUDA) is intended to focus attention on urban education and measure educational progress within participating districts. Eighth-graders in 26 urban districts participated in the mathematics assessment in 2022. TUDA district results are compared to results of public school students in large cities with a population of 250,000 or more.

Similar to widespread score declines across the states/jurisdictions, eighth-grade mathematics scores declined since 2019 in 22 of 26 districts that participated in the 2022 NAEP Trial Urban District Assessment; score declines ranged from 4 to 14 points. The average score for large city schools declined 8 points compared to 2019. Among the districts with score declines, 11 scored lower than the average for large city schools in 2022; seven districts had average scores that were not significantly different from the large city average; and 4 scored higher.

In 2022, eighth-grade mathematics scores declined across the performance distribution for the first time since the initial mathematics assessment in 1990. The magnitude of score declines for lower-performing students at the 10th and 25th percentiles (6 and 8 points, respectively) were not significantly different than the declines for higher-performing students at the 75th and 90th percentiles (9 and 8 points, respectively) with one exception; the score decline for students at the 75th percentile was higher than the decline for students at the 10th percentile.

In 2022, average eighth-grade mathematics scores decreased for most student groups in comparison to 2019. For example, looking at racial/ethnic groups, scores declined for Asian, Black, and Hispanic students, students of Two or More Races, and White students.

The NAEP mathematics assessment measures students' knowledge and skills in five broad content areas of mathematics (Number properties and operations; Measurement; Geometry; Data analysis, statistics, and probability; and Algebra) and their ability to apply their content area knowledge to problem-solving situations. Learn more about the mathematics assessment.

The mathematics assessments at grades 4 and 8 were administered as digitally based assessments on tablets between January and March 2022. At the beginning of the assessment session, students viewed an interactive tutorial that provided the information needed to take the assessment and familiarized them with the digital delivery system.

Representative samples of students from across the nation participated in the 2022 mathematics assessment as follows: 116,200 fourth-graders from 5,780 schools and 111,000 eighth-graders from 5,190 schools.

NOTE: The NAEP mathematics scale ranges from 0 to 500. Accommodations were not permitted in NAEP mathematics assessments prior to 1996 at the national level for grades 4 and 8. Black includes African American, and Hispanic includes Latino. Race categories exclude Hispanic origin. See more information about student group variables. Detail may not sum to totals because of rounding or the omission of categories. Although the estimates (e.g., average scores or percentages) are shown as rounded numbers in the charts, the positions of the data points in the graphics are based on the unrounded numbers. Unrounded numbers were used for calculating the differences between the estimates, and for the statistical comparison test when the estimates were compared to each other. Not all apparent differences between estimates are statistically significant. NAEP reports results using widely accepted statistical standards; findings are reported based on a statistical significance level set at .05, with appropriate adjustments for multiple comparisons. Only those differences that are found to be statistically significant are referred to as "higher" or "lower."

Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory,[1] algebra,[2] geometry,[1] and analysis,[3][4] respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. e24fc04721

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