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High school math education has an equity problem. And it won’t be fixed without addressing two concurrent challenges:
As described here, it is simultaneously true that structural inequities cause Black and Latino students to miss out on the mathematics opportunities that would prepare them for careers in science, technology, engineering and math, and that a narrow focus on calculus readiness ill serves large numbers of students whose aspirations would be supported by courses other than calculus.
Addressing either problem alone risks exacerbating the other: A myopic focus on expanding access to STEM-preparatory courses positions precalculus and calculus as the only advanced courses available to high-school students, giving short shrift to other rigorous and meaningful preparatory options. Courses such as statistics, data science, math modeling and discrete math are excellent options for the majority of students who do not major in STEM fields. By providing hands-on experiences with areas of math that are more relevant to many students, they have the potential to attract students to STEM who may have ruled it out or been turned off by traditional math courses.
At the same time, solely emphasizing the expansion of math course options ignores the indefensible racial and gender underrepresentation in calculus and the need to build a more diverse and inclusive pipeline into STEM fields. That work must begin before high school, by strengthening early math learning for all students so all have STEM opportunities open to them.
It’s important that the state’s math framework, a new version of which will be considered by the California State Board of Education in July, supports these goals. But other strategies may be even more important to expanding access to advanced math, particularly for underrepresented students.
Because they convey strong signals about what students should study in high school, college admissions and counseling practices are also key to getting high school math education right. To understand how counselors can better support students in reaching their goals, my organization, Just Equations, has published a series of reports examining the role of math in college admission.
The third and latest report explores California students’ perspectives on their high school math course-taking in the context of their college plans. It highlights stark racial disparities not just in access to high school calculus, but also in access to information about the importance of math courses in college preparation and admission. Not only did Black and Latino students report being less likely to be counseled into high school calculus, but they were also less likely to be recommended to take any advanced math courses at all.
Changing this reality means ensuring that all schools offer advanced courses, including calculus. As of 2015-16, only 38% of high schools with high Black and Latino enrollment offered calculus. But it also requires changing placement practices to equalize access to advanced courses, which white and Asian students in California are far more likely to take than Black and brown students.
Whether a school system allows students to accelerate in middle school or during high school in order to take calculus by their senior year, such opportunities should not be skewed by demographics. That they currently are calls for a thorough overhaul not just of math preparation in early grades, but also of how students are counseled into middle and high school math courses. In California, that includes analyzing implementation of the Math Placement Act of 2015, which was intended to address such disparities by requiring the use of multiple objective measures in placement decisions.
But if the state is serious about math education, it should also raise the graduation requirement — currently only two years of math — and support districts in increasing the availability and variety of advanced math courses. Requiring three years would match the majority of states — and the requirements for the state’s public universities.
Colleges and universities also need to be more transparent about their admissions practices. Few colleges require calculus for admission, outside of engineering or other STEM departments. But a majority of admissions officers told us that they prefer to see applicants who have calculus on their transcripts, regardless of major.
Unstated expectations are neither fair nor equitable. While calculus preparation is needed for some majors, calculus as a blanket expectation creates needless pressure on students who are more interested in other fields — and those who lack access to the course. Not only are well-resourced students more likely to have calculus available to them, we found that they and the counselors who serve them are more likely to be aware of unwritten preferences for calculus.
The University of California is among the few selective universities that explicitly state that calculus is not a requirement for admission and recognize other courses to fulfill students’ third or fourth year of high school math. Yet, even in California, counselors we interviewed believe that calculus remains a “covert” requirement, even for students who are not seeking to attend engineering schools or enter STEM majors.
If the university is serious that “No single course, including calculus, determines an admissions decision,” and “students … should not view calculus as the only option,” it should provide data to back up the statement. Then perhaps high school educators would feel more comfortable offering a range of rigorous math courses and advising students to follow their interests.
UC campuses should also invest in programs that support potential STEM majors who enter without a calculus background — whether these are SummerBridge, Emerging Scholars, or corequisite courses — so that students’ middle school math placements and high school opportunities don’t restrict their ability to pursue a STEM field at a UC campus.
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Pamela Burdman is executive director of Just Equations, a nonprofit that promotes policies that prepare students with quantitative skills to succeed in college.
The opinions expressed in this commentary represent those of the author. EdSource welcomes commentaries representing diverse points of view. If you would like to submit a commentary, please review our guidelines and contact us.
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Dr. Bill Conrad 10 months ago10 months ago
We focus on the wrong end. Students, especially students of color, are unable to participate in advanced math courses because they cannot even do basic arithmetic. Adjusting schedules is akin to rearranging deck chairs on the Titanic! K-12 educators are massively unprepared in math content, pedagogy, and assessment skills. And the children of color get the least qualified of this ignominious pool. We have to stop blaming the children and start looking in the mirror transforming … Read More
We focus on the wrong end.
Students, especially students of color, are unable to participate in advanced math courses because they cannot even do basic arithmetic. Adjusting schedules is akin to rearranging deck chairs on the Titanic!
K-12 educators are massively unprepared in math content, pedagogy, and assessment skills. And the children of color get the least qualified of this ignominious pool.
We have to stop blaming the children and start looking in the mirror transforming K-12 overall. Schedule tinkering is not the answer. We have much bigger fish to fry.
No?
el 10 months ago10 months ago
I would both like to see an obligation for all students to complete 4 years of math courses as well as better support for not-calculus. Statistics is important math, probably more useful than calculus, and there's plenty of other math topics that can be addressed. Calculus is valuable and amazing but it's only useful to the students if it is well taught. The two year requirement means that a lot of kids leave high school … Read More
I would both like to see an obligation for all students to complete 4 years of math courses as well as better support for not-calculus. Statistics is important math, probably more useful than calculus, and there’s plenty of other math topics that can be addressed. Calculus is valuable and amazing but it’s only useful to the students if it is well taught.
The two year requirement means that a lot of kids leave high school without recent math, and this is most problematic not for the college-bound kids who will encounter more math in college, but for the kids who end their education in high school. Math-related skills are important for all kinds of opportunities, but especially in the trades.
Michael Chan 10 months ago10 months ago
It is not just that a big percentage of American high school graduates are ignorant with Calculus; many of them cannot understand basic Algebra, Geometry and even Arithmetic. The teaching of Math in high schools is an overall failure.
I am a Physicist, Mathematician and Mechanical Engineer with advanced degrees, but also a businessman. These basic math skills are necessary in many fields. A high school diploma does not mean anything if these basic skills had never been learned.
Robert Akscyn 10 months ago10 months ago
As a person whose career has been saturated with math (engineer, computer scientist, entrepreneur) I am very sympathetic to the author's intentions. But I found the argument to be somewhat illogical, as it bounded around like a gazelle trying to make too many points which, by virtue of just dangling, are de facto fallacies (no valid argument provided). So it'd be good to see a future version that does not have links as crutches --- … Read More
As a person whose career has been saturated with math (engineer, computer scientist, entrepreneur) I am very sympathetic to the author’s intentions. But I found the argument to be somewhat illogical, as it bounded around like a gazelle trying to make too many points which, by virtue of just dangling, are de facto fallacies (no valid argument provided). So it’d be good to see a future version that does not have links as crutches — and homes in only on points that can be well-supported in the article (so readers have take away messages we can subscribe to).
Finally, I find it a tad ironic to read an article about the importance of math (which clearly math is) but that itself has almost none, other than a couple of numbers mentioned. Numbers are at the foundation of math, but numbers by themselves are not math, nor do they constitute arguments. Nevertheless, I was glad to encounter the article because it does speak to an important problem for which we do need more attention and approaches that improve matters. And yes, calculus is way overrated. That situation desperately needs to be remedied (but, in my opinion, it’s not an equity issue).
LInn 10 months ago10 months ago
Let's start with the lack of basic math skills to even do pre-algebra! I've worked with middle school kids in tutoring programs who can't solve a simple equation for x because they don't know how to reduce fractions, can't divide fractions, don't understand order of operations, or how to manage integers. It's kind of like asking them to read "War and Peace" when they don't know the alphabet. Read More
Let’s start with the lack of basic math skills to even do pre-algebra! I’ve worked with middle school kids in tutoring programs who can’t solve a simple equation for x because they don’t know how to reduce fractions, can’t divide fractions, don’t understand order of operations, or how to manage integers. It’s kind of like asking them to read “War and Peace” when they don’t know the alphabet.
Replies
Bob Capriles 10 months ago10 months ago
And then struggling middle school students come to high school and are ill-prepared for the current Algebra 1 and Geometry graduation requirements. I’ve worked for years with students who just complete Algebra 1 and Geometry to graduate. Adding a 3rd year of math as a graduation requirement before improving high school student’s math skills before high school will only serve to lower the overall high school graduation rate.