Tag Archives: Formula written for math success

National Center for Education Statistics report: Algebra I means different things in different schools

12 Mar

Moi wrote in Study: Early mastery of fractions is a predictor of math success:

Math is important for a number of reasons.

Michigan State University’s Office of Supportive Services succinctly states why math is important:

Why is math important?

All four year Universities have a math requirement

Math improves your skills:

  • Critical Thinking Skills

  • Deductive Logic and Reasoning Skills

  • Problem Solving Skills

A good knowledge of math and statistics can expand your career options

Physical Sciences – Chemistry, Engineering, Physics

Life and Health Sciences – Biology, Psychology, Pharmacy, Nursing, Optometry

Social Sciences – Anthropology, Communications, Economics, Linquistics, Education, Geography

Technical Sciences – Computer Science, Networking, Software Development

Business and Commerce

Actuarial Sciences

Medicine

http://oss.msu.edu/academic-assistance/why-is-math-important

Perhaps the biggest math challenge is how to teach math. https://drwilda.com/2012/06/26/study-early-mastery-of-fractions-is-a-predictor-of-math-success/

Sarah D. Sparks reports in the Education Week article, Algebra, Geometry Classes Vary in Rigor, Says Study:

The drive to get every student to take so-called college gateway courses has succeeded, a new federal study finds, but students taking Algebra I and Geometry classes are getting considerably less substance than their course titles would suggest.

Nearly all of the Class of 2005 graduated having taken Algebra I, according to the latest iteration of the National Assessment of Educational Progress’s high school transcript studyRequires Adobe Acrobat Reader, released this morning by the National Center for Education Statistics. Yet if their course materials are any indication, fewer than one in four of those students studied the kind of challenging topics needed to prepare them for college-level mathematics.

During the 2005 National Assessment of Educational Progress in mathematics, NCES researchers also collected course transcript data from a representative sample of 17,800 students who graduated with a regular or honors diploma that year. They also analyzed 120 Algebra I, Geometry, and integrated math textbooks used at the 550 public schools those students attended.

Education watchers hoping to close persistent achievement gaps among students of different racial and ethnic groups long have pushed for all students to take “college-ready” class schedules, including at least four years of high school math, including Algebra I and II, Geometry, and Calculus. Here, at least, the transcript study shows this push has paid off: Graduates in 2005 earned on average 3.8 credits in math, significantly more than the average of 3.2 credits earned by graduates in 1990. Moreover, from 1990 to 2005, black graduates closed a six-percentage-point gap with white graduates in the percentages of students earning at least three math credits, including in algebra and geometry.

What’s Covered in Algebra I?

While nearly all 2005 high school graduates had taken a course called Algebra I at some point, the content of those classes varied tremendously, according to a new analysis by the National Center on Education Statistics. The chart breaks down the types of topics actually covered in Algebra I courses that researchers classified as beginner-, intermediate-, and rigorous-level classes.

The study found that, on average, two thirds of Algebra I and Geometry courses covered core content topics in each of those subjects, while the other third covered topics in other math areas. Researchers also gauged the rigor of classes based on the topics and questions covered in each book. A course categorized by researchers as beginner-level algebra had more than 60 percent of its material on elementary and middle school math topics such as basic arithmetic and pre-algebra problems such as basic equations. By contrast, a rigorous Algebra I course includes more than 60 percent of material on advanced topics such as functions and advanced number theory, as well as other higher-level math subjects such as geometry, trigonometry, and precalculus.

We found that there is very little truth-in-labeling for high school Algebra I and Geometry courses,” said Sean P. “Jack” Buckley, the NCES commissioner, in a statement on the study.

What’s Covered in Algebra I?

While nearly all 2005 high school graduates had taken a course called Algebra I at some point, the content of those classes varied tremendously, according to a new analysis by the National Center on Education Statistics. The chart breaks down the types of topics actually covered in Algebra I courses that researchers classified as beginner-, intermediate-, and rigorous-level classes.

SOURCE: National Center for Education Statistics, High School Transcript

http://www.edweek.org/ew/articles/2013/03/12/26math.h32.html?tkn=YLOFKtLmOxgKmPV9bXJhz67yP%2Bl3YybnC81o&cmp=clp-edweek&intc=es

Citation:

 Algebra I and Geometry Curricula: Results from the 2005 High School Transcript Mathematics Curriculum Study
Description: The Mathematics Curriculum Study explores the relationship between student coursetaking and achievement by examining the content and challenge of two mathematics courses taught in the nation’s public high schools—algebra I and geometry. Conducted in conjunction with the 2005 National Assessment of Educational Progress (NAEP) High School Transcript Study (HSTS), the study uses textbooks as an indirect measure of what was taught in classrooms, but not how it was taught (i.e., classroom instruction). The study uses curriculum topics to describe the content of the mathematics courses and course levels to denote the content and complexity of the courses. The results are based on analyses of the curriculum topics and course levels developed from the textbook information, coursetaking data from the 2005 NAEP HSTS, and performance data from the twelfth-grade 2005 NAEP mathematics assessment.Highlights of the study findings show that about 65 percent of the material covered in high school graduates’ algebra I was devoted to algebra topics, while about 66 percent of the material covered in graduates’ geometry courses focused on geometry topics. School course titles often overstated course content and challenge. Approximately 73 percent of graduates in “honors” algebra I classes received a curriculum ranked as an intermediate algebra I course, while 62 percent of graduates who took a geometry course labeled “honors” by their school received a curriculum ranked as intermediate geometry. Graduates who took rigorous algebra I and geometry courses scored higher on NAEP than graduates who took beginner or intermediate courses.
Online Availability:

PDF FileNeed Help Viewing PDF files?

Cover Date: March 2013
Web Release: March 12, 2013
Print Release: March 12, 2013
Publication #: NCES 2013451
General Ordering Information
Center/Program:

NCES

Authors: NCES
Type of Product: Statistical Analysis Report
Survey/Program Areas: High School Transcript Studies (HST)
National Assessment of Educational Progress (NAEP)
Keywords:
Questions: For questions about the content of this Statistical Analysis Report, please contact:
Janis Brown.

Mary Niederberger of the Pittsburgh Post-Gazette writes in the article, Formula written for math success:

Mastery of fractions and early division is a predictor of students’ later success with algebra and other higher-level mathematics, based on a study done by a team of researchers led by a Carnegie Mellon University professor.

That means more effective teaching of the concepts is needed to improve math scores among U.S. high school students, which have remained stagnant for more than 30 years….

The study said a likely reason for U.S. students’ weakness in fractions and division could be linked to their teachers’ “lack of a firm conceptual understanding” of the concepts, citing several other studies in which many American teachers were unable to explain the reasons behind mathematical solutions, while most teachers in Japan and China were able to offer two or three explanations.
http://www.post-gazette.com/stories/news/education/formula-written-for-math-success-640962/#ixzz1ym9qos5j

A huge part of the math equation is attracting talented math majors and providing them with the training to teach math.

Related:

Study: Gender behavior differences lead to higher grades for girls        https://drwilda.com/2013/01/07/study-gender-behavior-differences-lead-to-higher-grades-for-girls/

Girls and math phobia                                                                   https://drwilda.com/2012/01/20/girls-and-math-phobia/

University of Missouri study: Counting ability predicts future math ability of preschoolers                                                      https://drwilda.com/2012/11/15/university-of-missouri-study-counting-ability-predicts-future-math-ability-of-preschoolers/

Is an individualized program more effective in math learning? https://drwilda.com/2012/10/10/is-an-individualized-program-more-effective-in-math-learning/

Study: Elementary school teachers have an impact on girls math learning                                                                           https://drwilda.com/2013/01/31/study-elementary-school-teachers-have-an-impact-on-girls-math-learning/

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Study: Early mastery of fractions is a predictor of math success

26 Jun

Joy Resmovits has an interesting article at Huffington Post. In U.S. Students’ Low Math Test Proficiency Could Have Consequences For GDP Resmovits reports:

U.S. students rank poorly in proficiency on both domestic and international math exams, a problem that could cost the country $75 trillion over 80 years, according to a new study.

U.S. students fall behind 31 countries in math proficiency and behind 16 countries in reading proficiency, according to the report released Wednesday, titled “Globally Challenged: Are U.S. Students Ready to Compete?

Resmovits is reporting about the report, Globally Challenged: Are U. S. Students Ready to Compete? The latest on each state’s international standing in math and reading by Paul E. Peterson, Ludger Woessmann, Eric A. Hanushek and Carlos X. Lastra-Anadón. Here is a portion of the Executive Summary:

Proficiency in Mathematics

U.S. students in the Class of 2011, with a 32 percent proficiency rate in mathematics, came in 32nd among the nations that participated in PISA. Although performance levels among the countries ranked 23rd to 31st are not significantly different from that of the United States, 22 countries do significantly outperform the United States in the share of students reaching the proficient level in math. In six countries plus Shanghai and Hong Kong, a majority of students performed at the proficient level, while in the United States less than one-third did. For example, 58 percent of Korean students and 56 percent of Finnish students were proficient. Other countries in which a majority—or near majority—of students performed at or above the proficient level included Switzerland, Japan, Canada, and the Netherlands. Many other nations also had math proficiency rates well above that of the United States, including Germany (45 percent), Australia (44 percent), and France (39 percent). Shanghai topped the list with a 75 percent math proficiency rate, well over twice the 32 percent rate of the United States. However, Shanghai students are from a prosperous metropolitan area within China, with over three times the GDP per capita of the rest of that country, so their performance is more appropriately compared to Massachusetts and Minnesota, which are similarly favored and are the top performers among the U.S. states. When this comparison is made, Shanghai still performs at a distinctly higher level. Only a little more than half (51 percent) of Massachusetts students are proficient in math, while Minnesota, the runner-up state, has a math proficiency rate of just 43 percent. Only four additional states—Vermont, North Dakota, New Jersey, and Kansas—have a math proficiency rate above 40 percent. Some of the country’s largest and richest states score below the average for the United States as a whole, including New York (30 percent), Missouri (30 percent), Michigan (29 percent), Florida (27 percent), and California (24 percent)….

Performance of U.S. Ethnic and Racial Groups

The percentage proficient in the United States varies considerably across students from different racial and ethnic backgrounds. While 42 percent of white students were identified as proficient in math, only 11 percent of African American students, 15 percent of Hispanic students, and 16 percent of Native Americans were so identified. Fifty percent of students with an ethnic background from Asia and the Pacific Islands, however, were proficient in math. In reading, 40 percent of white students and 41 percent of those from Asia and the Pacific Islands were identified as proficient. Only 13 percent of African American students, 5 percent of Hispanic students, and 18 percent of Native American students were so identified….

Here is the citation:

http://www.hks.harvard.edu/pepg/PDF/Papers/PEPG11-03_GloballyChallenged.pdf

Mary Niederberger of the Pittsburgh Post-Gazette writes in the article, Formula written for math success:

Mastery of fractions and early division is a predictor of students’ later success with algebra and other higher-level mathematics, based on a study done by a team of researchers led by a Carnegie Mellon University professor.

That means more effective teaching of the concepts is needed to improve math scores among U.S. high school students, which have remained stagnant for more than 30 years….

The study said a likely reason for U.S. students’ weakness in fractions and division could be linked to their teachers’ “lack of a firm conceptual understanding” of the concepts, citing several other studies in which many American teachers were unable to explain the reasons behind mathematical solutions, while most teachers in Japan and China were able to offer two or three explanations.
http://www.post-gazette.com/stories/news/education/formula-written-for-math-success-640962/#ixzz1ym9qos5j

Citation:

Early Predictors of High School Mathematics Achievement

  1. Robert S. Siegler1,
  2. Greg J. Duncan2,
  3. Pamela E. Davis-Kean3,4,
  4. Kathryn Duckworth5,
  5. Amy Claessens6,
  6. Mimi Engel7,
  7. Maria Ines Susperreguy3,4 and
  8. Meichu Chen4Abstract

Identifying the types of mathematics content knowledge that are most predictive of students’ long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students’ knowledge of algebra and overall mathematics achievement. Analyses of large, nationally representative, longitudinal data sets from the United States and the United Kingdom revealed that elementary school students’ knowledge of fractions and of division uniquely predicts those students’ knowledge of algebra and overall mathematics achievement in high school, 5 or 6 years later, even after statistically controlling for other types of mathematical knowledge, general intellectual ability, working memory, and family income and education. Implications of these findings for understanding and improving mathematics learning are discussed.

  1. Published online before print June 14, 2012, doi: 10.1177/0956797612440101 Psychological Science June 14, 2012 0956797612440101
  1. » AbstractFree
  2. Full Text
  3. Full Text (PDF)
  4. Supplemental Material

Math is important for a number of reasons.

Michigan State University’s Office of Supportive Services succinctly states why math is important:

Why is math important?

All four year Universities have a math requirement

Math improves your skills:

  • Critical Thinking Skills
  • Deductive Logic and Reasoning Skills
  • Problem Solving Skills

A good knowledge of math and statistics can expand your career options

Physical Sciences – Chemistry, Engineering, Physics

Life and Health Sciences – Biology, Psychology, Pharmacy, Nursing, Optometry

Social Sciences – Anthropology, Communications, Economics, Linquistics, Education, Geography

Technical Sciences – Computer Science, Networking, Software Development

Business and Commerce

Actuarial Sciences

Medicine

http://oss.msu.edu/academic-assistance/why-is-math-important

In Perhaps the biggest math challenge is how to teach math, moi said:

There will continue to be battles between those who favor a more traditional education and those who are open to the latest education fad. These battles will be fought out in school board meetings, PTSAs, and the courts.

There is one way to, as Susan Powder says, “Stop the Insanity.” Genuine school choice allows parents or guardians to select the best educational setting for their child. Many policy wonks would like to believe that only one type of family seeks genuine school choice, the right wing wacko who makes regular visits on the “tea party” circuit. That is not true. Many parents favor a back-to-the basics traditional approach to education.

A one-size-fits-all approach does not work in education https://drwilda.wordpress.com/2012/02/01/perhaps-the-biggest-math-challenge-is-how-to-teach-math/

Dr. Wilda says this about that ©