Research finds math textbooks don't work for students worldwide
An international study led by Michigan State University scholars has provided a "dismal picture" of mathematics textbooks across the globe—and it has serious implications for the next generation of learners.
Among the findings, researchers discovered that student "opportunities to learn and develop mathematics literacy are so few as to almost be nonexistent" in eighth grade textbooks. Moreover, what is given to them in traditional word problems are little more than numbers surrounded by words.
"The world has failed in terms of providing teachers with the textbooks they need in order to better develop students' quantitative literacy, mathematical reasoning and to help them learn to solve demanding, real-world problems," said University Distinguished Professor William H. Schmidt, who led the 19-country study.
"Across the textbooks we analyzed, there were more than 50,000 exercises. Of those, less than 1% dealt with demanding, real-world applications. In the U.S., only 0.5% of problems met this standard. How can we expect kids to have a sense of if they'll ever use math in the real world, or gain any experience in doing it, if we don't give them any opportunities to learn?"
The study, also known as the Mathematics Curriculum Document Analysis (MCDA), is part of the Organization for Economic Co-operation and Development's Future of Education and Skills 2030 project. The overall goal is to develop a common language for teaching and learning.
Schmidt, a recognized leader in mathematics education research, drew upon research he led in 1995 for the Third International Mathematics and Science Study, or TIMSS. With the MCDA research, Schmidt and fellow researchers—MSU's Richard T. Houang, William F. Sullivan and Leland S. Cogan—examined how, and in what ways, mathematics had changed and how, or if, new topics had been included in textbooks that were not typically taught in the last 25 years.
Globally, countries showed improvement in these areas. In most cases, the pattern of coverage of key topics was similar to what had been discovered in TIMSS. New topic areas, such as quantitative reasoning, higher-order real-world applications and 21st century competencies, were also included, to some degree, in all countries studied.
But the question that has been plaguing the classroom for years—"Am I ever going to use math outside of school?"—remains a problem, and textbooks aren't helping.
For example, if the average country only included one demanding, real-world application in their lesson each week, the country would run out of exercises in 1.5 months.
And while textbooks themselves were the focus of the study, teachers themselves may also need to reconsider their strategy. While the scholars note there is no data pertaining to what teachers were actually teaching, previous research indicates a "strikingly large correlation (0.9) between teacher content coverage and textbook content coverage." In other words, what is in the textbooks is likely to be what the teachers teach.
Implications for the United States
More than 25 years ago, Schmidt and fellow scholars discovered U.S. standards in mathematics were different than most top-achieving countries. For example, the U.S. covered more topics over the first eight grades than any other country.
In the 2022 MCDA study, Schmidt and fellow colleagues now see improvements.
"The U.S. isn't leading in math, but we are farther ahead than we were 25 years ago," said Schmidt, who is also an OECD Thomas J. Alexander Fellow. "The country is covering half of the topics it attempted to cover 25 years ago. For example, where it was 34 topics in eighth grade, now the U.S. covers 20, following Common Core state standards. While this is an improvement in formal mathematics—which is fundamental to learning—this isn't all we want our youth to learn."
The policy/practice gap
Math education needs to be improved globally—and the future of how it can be improved may come down to decision-makers.
"Every country we studied has a statement supporting increasing math literacy, including a focus on real-world problem-solving. Our policies call for it, but we're not giving teachers the tools they need to accomplish these goals," says Schmidt.
He admits the solution is not completely clear. While policy is set at the national or regional level, textbooks are published by corporations, and governments and corporations don't always have the same goals in mind.
There are also other struggles with math to contend with. For example, gaps in access to quality math education are only increasing the achievement gap, according to 2015 research also led by Schmidt.
And the COVID-19 pandemic may be making matters even worse.
"Mathematics is so central to our knowledge because so much of the world's information is given in tables, graphs and in quantitative ways," Schmidt said. "Look at the pandemic as an example. There is varied information at local, regional and national levels regarding vaccinations, hospitalizations and more."
So what's next? One possibility Schmidt suggests is for governments to reimagine policies and to set standards to which textbooks must adhere. He hopes the research shines a brighter light on the urgent need for steps to be taken to improve textbooks.
"This research, and OECD's efforts to improve education, is fundamental because it helps people to comprehend the world in which they live," he said.
More information: Schmidt, W., et al. (2022), When practice meets policy in mathematics education: A 19 country/jurisdiction case study, OECD Education Working Papers, No. 268, OECD Publishing, Paris, doi.org/10.1787/07d0eb7d-en
Provided by Michigan State University