برچسب: math

  • What to know about changes in STEM math placement at California community colleges

    What to know about changes in STEM math placement at California community colleges


    FERMIN LEAL/EDSOURCE TODAY

    Este artículo está disponible en Español. Léelo en español.

    The guidance for math placement at community colleges has changed since this article was written. For more current information, visit this article.

    If you’re a student at one of California’s community colleges and you plan to study a STEM field, you’ll typically have to pass calculus first before diving into many of the other required classes in physics, engineering, computer science, biology or chemistry. 

    A decade ago, you might have started college by taking algebra, trigonometry or precalculus class — or even a remedial class like prealgebra — before getting to calculus. But a body of research has suggested that having to complete a string of prerequisites before enrolling in calculus wasn’t working for many students and that too many never made it to calculus. That finding was bolstered by evidence showing that Black, Latino and Pell Grant students were overrepresented in community colleges’ remedial courses. 

    Two recent California laws try to address this problem. Assembly Bill 705 allows most students to skip all sorts of remedial classes in favor of full credit courses that can transfer to a four-year college; AB 1705 additionally requires colleges to place more STEM students directly into calculus rather than lower-level courses like precalculus or trigonometry.

    AB 1705 has sparked fervent opposition from some math educators, who worry that less-prepared students who skip traditional prerequisites will fail in calculus and abandon plans to study STEM. They’ve also voiced concern that students who want to take courses like trigonometry and precalculus will no longer be able to do so because the classes will be dropped by colleges. 

    But defenders say AB 1705, which math departments have until fall 2025 to implement, will prevent students from getting detoured or derailed by long course sequences.

    They note that colleges are swapping out the old prerequisite-heavy model of calculus for new calculus courses with extra support for students who need to learn concepts from algebra and trigonometry as they go. Colleges are also investing in tutoring. In addition, colleges have two years to develop revamped precalculus courses. 

    This guide seeks to answer some of the most common questions about what the law means for STEM students and how colleges plan to implement it. 

    What’s the problem AB 1705 is trying to solve?

    Community colleges regularly used to place students deemed to be underprepared in remedial classes that can’t be transferred to a four-year university. That started to change after AB 705 took effect in 2018. The Public Policy Institute of California found that between fall 2018 and 2022, the share of students starting in transfer-level math rose, as did the percentage of first-time math students completing such a course in one term.   

    Still, racial equity gaps persisted, with white students completing courses at higher rates than Black and Latino students. Advocates also worried that some community colleges were not implementing AB 705 correctly.  

    AB 1705 builds on AB 705. As a result of its passage, the state education code now requires U.S. high school graduates to begin community college in courses that meet a requirement of their intended major, though there is an exception if a college can prove a prerequisite course would benefit students. Colleges also have to provide extra help to students who want or need it, such as tutoring or concurrent support courses. 

    “Students should be aware that they have the right to access calculus and, if they want support while they’re in that course, that they’re entitled to get support,” said Jetaun Stevens, a senior staff attorney at the nonprofit law firm Public Advocates.

    What guidance has the California Community Colleges Chancellor’s Office provided colleges on implementing the law?

    All STEM students must be given the option to take STEM calculus starting on July 1, 2025, according to California Community Colleges Chancellor’s Office guidance

    Only students who either had a high school GPA of 2.6 or less, or who did not pass high school trigonometry, precalculus or calculus with at least a C have the option to take preparatory courses for calculus. Traditionally, that would include courses like precalculus. 

    To comply with the law, the chancellor’s office says colleges can drop or redesign existing preparatory courses like precalculus. If they want to continue offering an existing preparatory course, they’ll need to get the chancellor’s office approval. Colleges must show a student is deemed “highly unlikely to succeed” in STEM calculus without the prep course and meet additional criteria.

    What’s the evidence in favor of overhauling the traditional STEM math prerequisites?

    Supporters of AB 1705 often point to studies that tracked how much better STEM students performed when they enrolled directly in calculus.

    RP Group, a nonprofit that conducts research on behalf of the California community college system, reported that students who started in STEM calculus completed the course in two years at higher rates than students who entered a preparatory course for calculus instead and then later tackled calculus, regardless of students’ high school math preparation. 

    Controlling for multiple factors, RP Group also reported that the probability of completing a first STEM calculus course was lower for students who started in a prerequisite as opposed to students who went straight into calculus.  

    AB 1705’s proponents also highlight Cuyamaca College as an early adopter. A brief by the California Acceleration Project, one of AB 1705’s backers, reports that 69% of Cuyamaca students who had not studied precalculus and also enrolled in a two-unit support course completed STEM calculus in one term, compared with 30% of students who completed precalculus and then calculus in two terms. Cuyamaca observed improved calculus rates across races; gaps between students of different races were also smaller.

    What are math professors’ concerns about AB 1705?

    Many math educators said they’re worried about STEM majors with the least math experience — such as students whose highest high school math course was algebra — enrolling directly into calculus. They fear that students will fail those courses at high rates, then drop out of their major or college altogether.

    “I feel like the state might just be giving up on those students, to be honest,” Rena Weiss, a math professor at Moorpark College said. “They’re wanting to be a STEM major, and they’re going to get put right into Calculus 1. I just can’t imagine a situation where that student would be successful.”

    Professors are also concerned about students who have been out of school for a long time. Students older than the age of traditional college-goers make up a large portion of the students at California’s community colleges.

    “To be dropped right into calculus, that’s a pretty significant heavy lift for many of those students,” said Wendy Brill-Wynkoop, president of the Faculty Association of California Community Colleges.

    Some faculty members also question the RP Group’s research. Both the statewide Academic Senate for the community college system and the academic senates of at least two colleges — Modesto Junior College and San Joaquin Delta College — have passed resolutions calling for a “comprehensive audit” of the data. The CSU Math Council, a forum for the chairs of the university system’s math and statistics departments, also passed a resolution calling for a peer review of research used to back AB 1705. 

    Can STEM students still take calculus prerequisite courses before taking calculus?

    Yes, in some cases, at least until 2027. 

    Students at several colleges will have the option to take reshaped, so-called “innovative preparatory courses,” which may include content from college algebra, trigonometry and precalculus.

    Since the chancellor’s office has not specified what those preparatory courses should include, there is likely to be a lot of variation across the system. At Modesto Junior College, faculty are developing a class that will include curriculum from all three traditional prerequisite courses, said Tina Akers-Porter, a math professor at the college.

    Weiss said Moorpark College’s redesigned precalculus course will follow a flipped model, in which students watch lecture videos and complete exercises at home, apply the material to activities in class and then practice the same concepts again after class. Streamlining is another approach; Ohlone College math professor Andy Bloom said colleagues are removing content from an existing precalculus course that students won’t need for their first calculus class.

    Colleges have until July 2027 to test out the newly revamped preparatory courses. Then, the chancellor’s office will assess the courses again to see if they meet student performance benchmarks.

    Weiss said she and her colleagues “decided that it was really important to have a precalculus option for students who need it.” 

    Beyond the new innovative preparatory courses, it’s unclear how many colleges will continue to offer prerequisite calculus classes for STEM majors. 

    Tim Melvin, a math professor at Santa Rosa Junior College, is hoping that students can still enroll in calculus prerequisites to get more prepared, even if they have to sign a form acknowledging that the courses aren’t required. “We want to give students more options,” he said. “No requirements, but options.”

    Brill-Wynkoop said the faculty association is in talks with some legislators and may push for additional legislation that would clarify that colleges can still give STEM majors the option of taking prerequisite classes, without requiring them. The association opposed AB 1705 when it was originally proposed.

    Chancellor’s office officials, however, would likely oppose such an effort. John Hetts, an executive vice chancellor for the office, said in an email that arguments in favor of giving students a choice are often used “to persuade students to take a slower path or to allow students to self-select into a slower path,” despite the potential for negative consequences.

    What are corequisite courses and how are colleges planning to implement them?

    Chancellor’s office guidance now says colleges should offer a corequisite course alongside and linked to the calculus class. The corequisite is an additional course of at most two units designed to integrate topics from areas like algebra and trigonometry into calculus. 

    The idea is that with extra course time, instructors can see where students are struggling and offer extra help. 

    Colleges including Chaffey College and Sierra College, for example, now plan to link together corequisite and calculus courses explicitly. Students would sign up for a corequisite scheduled immediately before or after their calculus course. The two courses would feel to students like a longer, continuous course — one that gives their professors time to review or introduce skills students might have missed. 

    Melvin, at Santa Rosa, said his department is developing a seven-unit calculus class with corequisite support for next fall, which will take up more than half of a given student’s course load. 

    “But for students that maybe need precalculus and a little algebra help, we definitely think it’s going to be effective,” Melvin said.

    How are some early calculus corequisite courses going so far?

    There are mixed opinions at colleges that already allow STEM students who have not taken precalculus to enroll in calculus courses with a corequisite.

    Southwestern College math professors Kimberly Eclar and Karen Cliffe said that in fall 2023, the campus opened a calculus course with a two-unit support course for students who had not taken precalculus, offering students additional tutoring and non-credit refresher material, too. They were troubled by the results: Of the students who had not taken precalculus, less than 5% passed the class in its first semester.

    Some students who do pass calculus without having taken precalculus at college turn out to have learned precalculus while attending high school outside the U.S., Eclar and Cliffe added.

    Ohlone College is also allowing students who haven’t taken precalculus to enroll directly in calculus with corequisite courses. 

    “I’m not seeing this huge underperformance of my students this semester compared to last semester,” said Bloom, who has presented about STEM calculus support at an RP Group conference.

    Bloom said that though some students have dropped the course, there are also positive indicators, including that the average score on the first test of the semester exceeded last year’s average. 

    What other changes are math departments planning alongside AB 1705?  

    Professors said their campuses are experimenting with technology (like guiding students on how to use AI or using homework software that gauges students’ math skills as they answer questions) and different approaches to testing (like allowing students to retake tests or to choose which questions to answer). Others said they’re aiming to create smaller class sizes, use embedded tutors and tailor calculus courses to meet the needs of life sciences students. 





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  • Educators divided on impact of changes in STEM math placement at California community colleges

    Educators divided on impact of changes in STEM math placement at California community colleges


    https://www.youtube.com/watch?v=xemfay2L1N4

    The California community colleges will soon implement changes to STEM math placement in which more students will be enrolled directly in calculus without first taking a longer sequence of lower-level courses such as precalculus and trigonometry.

    On Tuesday, during an EdSource roundtable, “A new law aims to expand access to STEM. What troubles some educators?” panelists discussed both the potential upsides and their concerns as Assembly Bill 1705 — the 2022 law requiring the changes — is implemented.

    Defenders of the law have argued that its intent is to ensure students can progress more quickly toward transferring to four-year colleges by avoiding long sequences of pre-requisite courses, but some math educators have said they fear more students might fail calculus if they do not first enroll in the preparatory courses.

    Tina Akers-Porter is one such math professor at Modesto Junior College. During Tuesday’s roundtable, she shared concerns she has heard from other math professors statewide. The concerns have centered less on the law as intended and more on the implementation guidance from the Community Colleges Chancellor’s Office, which she said “don’t exactly match up well with the law” and are “very strict.”

    Akers-Porter pointed out that in order for a precalculus course to continue being offered at a community college, at least 50% of students enrolled in such preparatory classes must be successful in the class. By contrast, just 15% of students directly enrolled in calculus without first taking preparatory courses must successfully pass the class.

    Such guidance leads to “one size fits all,” an approach she said “is definitely not in the name of equity.”

    John Hetts, executive vice chancellor for the Office of Innovation, Data, Evidence and Analytics Office at the Chancellor’s Office, discussed some of the research he said the implementation guidance is based on.

    “At heart, what [the guidelines] are is based on a really substantial set of research across not just California, but across the country, that suggests that the way that we place students into our courses in community colleges vastly underestimated their capacity,” Hetts said.

    The implementation guidance includes the offering of support courses, called corequisites, which students will be able to take concurrently with calculus. The additional courses of at most two units are designed to integrate topics from areas like algebra and trigonometry into calculus.

    Hetts referred to research that showed corequisites being more effective than prerequisites and that having students repeat courses previously taken does not help them “and, in many cases, makes them less likely to complete the subsequent course.”

    Some students, such as panelist Alicia Szutowicz-Fitzpatrick, expressed concerns about the amount of additional time that corequisites might require. As student senate president and a disabled student programs and services peer mentor, Szutowicz-Fitzpatrick said she is worried about how the changes made to STEM math placement will impact financial aid, students’ time and unit loads.

    “We’re also worried about the education itself; a lot of support classes are not as supportive as they could be, and it’s just more work,” she said, highlighting a particular concern about how the changes would impact students with disabilities and nontraditional students.

    Prior to 2018, community colleges regularly placed students in remedial classes if they were deemed underprepared. Evidence showed an overrepresentation of Black, Latino and Pell Grant students in such courses, most of which could not be transferred to a four-year university.

    Assembly Bill 705 was signed into law in 2017 — with a confusingly similar number as the 2022 AB 1705 legislation — with the intention of reducing inequities by placing more students in transfer-level courses.

    But racial inequities persisted, leading to the passage of Assembly Bill 1705. This bill, intended to build on AB 705, in part requires colleges to place more STEM students directly into calculus rather than lower-level courses like precalculus or trigonometry.

    Tammi Marshall, dean of math, science and engineering at Cuyamaca College, highlighted that since the fall of 2023, her campus has offered calculus plus support for students who have not taken preparatory classes such as precalculus.

    “We have seen extreme success,” Marshall said, noting that the previous model of enrolling students in preparatory courses resulted in less than 30% of their students passing calculus in one year.

    “The intention was always thinking about students and their success, but we were not supporting students,” said Marshall. “The number of students that would have started in pre-algebra class and ever completed calculus was single digits.”

    Since enrolling them directly in calculus, she said, 70% of their students pass calculus in one year.

    Panelist Doug Yegge has similarly worked to implement the guidance on AB 1705 at Chaffey College, where he is a math professor.

    “I’m not saying that there aren’t drawbacks to the way that the law is being implemented. But my view, and the view of Chaffey, is, until the law is modified, here we are,” said Yegge. “How are we going to implement this at our own schools to try to give our students the best chance at success?”

    Yegge’s approach to the changes on STEM math placement has been to build a cohort model among students so that educators are “not only encouraging, but requiring collaboration and active learning.”

    At Chaffey, all math professors assigned to teach calculus-support courses are also required to meet every other Friday for two to three hours to collectively develop content and activities.

    Panelist Rena Weiss has also worked to implement support courses at Moorpark College but found that the classes didn’t quickly fill when they were not mandated for students. In response, her department removed the support courses and opted instead to focus on tutoring​, a decision that seems to be proving successful for their students.

    They also opted to develop an “innovative pre-calculus course replacement​” which is allowed by AB 1705 and will be implemented by the Fall of 2025. They intend for the replacement ​classes to be smaller in size, allow sufficient time for active learning, provide videos that students can watch at home, and to continue working in small groups alongside their peers. ​The course will be evaluated after an experimental two years.

    “We are​ really worried that​ if the same methodology for validating a prerequisite to calculus 1 is applied to this experimental course, that all of this great work that we’re doing​ might be for nothing because we are only given two years to produce results and then that will be evaluated​,” Weiss said.

    Although she noted that many of the resources used in the experimental course will be applied toward a calculus corequisite course, she echoed the concern expressed by most of the panelists about the strict AB 1705 implementation guidance set by the Chancellor’s Office.

    This story was updated to note that Moorpark’s future replacement course, not their current structure, will be up for evaluation two years after it is implemented in Fall of 2025.





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  • Community colleges loosen STEM math placement rules, calming some critics

    Community colleges loosen STEM math placement rules, calming some critics


    STEM students at California community colleges will be able to enroll in calculus prerequisites like trigonometry if they didn’t take those classes in high school.

    Credit: James McQuillan/istock

    Este artículo está disponible en Español. Léelo en español.

    California math educators this fall have been locked in a vigorous debate: Will the implementation of a new law help more community college STEM students by skipping prerequisites and placing them directly into calculus, or will it set up the state’s least-prepared students for failure?

    This week, critics scored something of a victory. In a move that already faces legal scrutiny, the chancellor’s office for the state’s community colleges issued a memo making clear that, when the law takes effect next fall, students in science, technology, engineering and math majors who haven’t passed courses like trigonometry in high school will still have the option to start college math with up to two semesters of courses that are considered preparation for calculus.

    Previous guidance instructed colleges to enroll those students directly into calculus — sometimes with a simultaneous 1- or 2-unit support class — or place them in new semester-long preparatory classes offered on a trial basis.

    The changes were made after some math faculty across the state criticized the original guidance, including during an EdSource roundtable on the topic hosted last month. They worried that students without a solid math foundation would struggle if forced to start right away in calculus and said the original guidance went beyond what is required by the law, Assembly Bill 1705. 

    Other math faculty joined advocacy groups in defending the initial rollout plan, citing research that students perform better when they can go straight into calculus regardless of their high school math preparation. Critics, though, say some of that research is flawed.

    The chancellor’s office issued the memo after gathering feedback from faculty, administrators and students about whether the state’s least experienced math students, such as those who didn’t take a class higher than geometry in high school, would be ready for calculus without taking prerequisites, said Melissa Villarin, a spokesperson for the office. 

    “We’ve been listening to folks, examining the evidence that colleges are bringing to us, and we got to the point that we needed to make a decision,” added John Hetts, the college system’s executive vice chancellor for the Office of Innovation, Data, Evidence and Analytics. “If we didn’t make a decision now, it would not leave colleges enough time to prepare for fall 2025.”

    Calculus is often a required course for many science, technology and engineering majors. In the past, research has shown that some students never get to calculus because they fail to complete necessary prerequisite courses like trigonometry or precalculus, effectively blocking those students from pursuing their degrees.

    AB 1705, signed into law in 2022, requires the college system to evaluate the impact of enrolling students in prerequisites to calculus and, if they can’t prove students benefit from those classes, to stop requiring or even recommending them.

    Some backers of the law interpret it as mandating a shift as much as possible to enrolling all STEM students directly into calculus. They cite a section that states students “shall be directly placed into” the transfer-level class that satisfies the requirement for their degree.

    Chancellor’s office officials, however, maintain that the latest guidance is consistent with the law. “The guidance is fully within the parameters of AB 1705,” Paul Feist, a spokesperson for the system, said in an email.

    Under the new guidance, students who didn’t pass Algebra II or its equivalent in high school will be allowed to take two semesters worth of calculus prerequisites, which could include some combination of college algebra, trigonometry or precalculus. Students who did pass that course but not trigonometry or precalculus will be allowed to enroll in a one-semester prerequisite course, typically precalculus.

    The new guidance is a compromise, said Pamela Burdman, executive director of Just Equations, a nonprofit organization focused on the role of math in education equity. 

    “I think the chancellor’s office is trying to strike a balance here,” she added. “I do think there has been a tendency to place students in more prerequisites than they may need, but we don’t know enough from the research exactly what the optimal placement system is and how to identify which students need which levels of support.”

    The guidance won’t be the final word on the issue. It could face a future legal challenge. Jetaun Stevens, an attorney with the civil rights law firm Public Advocates, said the chancellor’s new directive urges colleges “to violate the law.” Stevens said the firm is still “assessing what we can do” and did not rule out a lawsuit. 

    “This guidance gives colleges permission to completely ignore students’ rights to be placed in calculus. It creates exceptions in the law that don’t exist,” Stevens said. “This is illegal and beyond the chancellor’s office’s authority. They don’t get to pick what part of the law they want to enforce.”

    Faculty, meanwhile, still plan to pursue legislation next year that would permanently clarify that colleges can offer “standalone foundational pre-transfer courses,” according to a memo being circulated by the Faculty Association for California Community Colleges, a faculty advocacy organization. Wendy Brill-Wynkoop, president of the association, said the draft is being “shared widely with system partners and legislators.”

    In the meantime, starting next year, the chancellor’s office plans to collect data from each college and examine how students are accessing calculus. Colleges will have to prove that students are at least as likely to get to and complete calculus when they start in prerequisites as when they start right away in calculus. If the prerequisite path shows worse results, guidance says those prerequisites will need to be eliminated for STEM majors by 2027. 

    The updated guidance is “simple and based in common sense,” said Tina Akers-Porter, a math professor at Modesto Junior College and one of the leading critics of the original guidance. “If you’ve taken the preparatory courses, then go into calculus. But if you haven’t, then still offer the preparatory courses. That’s what we wanted.”

    Tammi Marshall, dean of math, science and engineering at Cuyamaca College, was disappointed in the chancellor’s office’s new direction. She said the chancellor’s office has previously “done a great job of holding the colleges accountable” to evidence suggesting students perform better when placed directly into calculus with a companion support course than in longer sequences of preparatory courses. Her college has been highlighted as an early adopter of AB 1705 and has reported improved calculus completion rates across racial groups.

    “I felt like they were pressured into making a decision that isn’t completely based on the data,” she said of the new guidance. 

    Some math faculty said the new guidance leaves departments little time to adapt and may sap energy from attempts to reimagine math courses ahead of next fall. Many departments have designed new classes to prepare students for calculus in anticipation of AB 1705, but it’s unclear whether colleges will choose to offer those courses next fall, as they initially planned, or fall back on older courses. 

    “We just don’t know where to focus our energy right now,” said Rena Weiss, a math professor at Moorpark College, adding that she’s glad the chancellor’s office listened to faculty members’ concerns and is grateful for the option to place STEM students into courses like trigonometry. 

    Other faculty are hoping for more information about exactly which students they can now place into precalculus courses. 

    Forecasts of what the guidance means for access to STEM education varied. Marshall predicted greater inequity at colleges that opt to continue calculus prerequisite sequences with high attrition rates, which she said have a “disproportionate impact on our Black and brown STEM students.” 

    On the other side, Southwestern College math professor Kimberly Eclar said this week’s guidance gives more options to students whose high schools do not offer higher math classes. James Sullivan, a math professor at Sierra College, said the updated rules will benefit students who transition into a STEM career later in life but haven’t yet learned the concepts they’ll need for calculus.

    Hetts, the executive vice chancellor, said the current evidence is simply “not strong enough” to prohibit colleges from offering prerequisites next year. The chancellor’s office, in consultation with the RP Group, a nonprofit that conducts research on behalf of the college system, plans to conduct additional research starting in 2025 “to more thoroughly understand” how students access calculus. 

    The RP Group is also deciding whether to conduct a follow-up study that would compare the longer-term outcomes of students who enroll directly in calculus to those who do not, according to Alyssa T. Nguyen, the organization’s senior director of research and evaluation. Such a study could examine how often each group of students completes associate degrees or transfers. Nguyen wrote in an email that RP Group will continue to draw from student records in its analysis and may also survey, interview or conduct focus groups with students.





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  • Don’t want to close underenrolled schools? Here’s how to make the math work

    Don’t want to close underenrolled schools? Here’s how to make the math work


    Protesters rally against school closures outside the Oakland Unified School District office in September 2019.

    Andrew Reed/EdSource

    This commentary was originally published by the Thomas B. Fordham Institute.

    As enrollments drop, city after city is facing pressure to close half-empty schools. Fewer kids means fewer dollars. Consolidating two schools saves money because it means paying for one less principal, librarian, nurse, PE teacher, counselor, reading coach, clerk, custodian … you get the idea. Low-enrollment schools end up on the chopping block because they’re the ones that typically cost more per pupil.

    But there is another way to cut costs without closing underenrolled schools.

    First, it’s worth noting that small schools needn’t cost more per pupil. Our school spending and outcomes data include examples of small schools all across the country that operate on per-pupil costs comparable to their larger peers — some even delivering solid student outcomes.

    But here’s the catch: These financially viable small schools are staffed very differently than larger schools.

    There’s a 55-student school near Yosemite that spends about $13,000 a student—well under the state average. How do they make it work? One teacher teaches grades two, three, and four. There’s no designated nurse, counselor, or PE teacher, and rather than offer traditional athletics, students learn to ski and hike.

    A quick glance at the many different financially viable small schools across different states reveals that staff often wear multiple hats. The principal is also the Spanish teacher, or the counselor also teaches math.

    Also common are multi-level classrooms. When my kids attended a small rural high school, physics was combined with AP Physics, which meant both my 10th and 12th graders were in the same class, but with different homework.

    Sometimes schools give kids electives via online options, send students to other schools for sports, or forgo some of these services altogether. Some have no subs (merging classes in the case of an absence). Sometimes the schools partner with a community group or lean on parents to help in the library or coach sports.

    Done well, smallness can be an asset, even with the more limited services and staff. Whereas a counselor might be critical in a larger school to ensure that a student has someone to talk to, with fewer students in a small school, relationships come easier. Teachers may have more bandwidth to assist a struggling student.

    What isn’t financially viable? A school with the full complement of typical school staff but fewer kids. These aren’t purposely designed small schools, rather they’re underenrolled large schools (sometimes called “zombie schools”). Los Angeles Unified School District, for instance, has a slew of tiny schools spending over $30,000 per pupil. Such schools vary in performance, but all sustain their higher per-pupil price tag by drawing down funds meant for students in the rest of the district. In the end, no one wins.

    With so much aversion from parents to closing schools (witness, for example, Seattle, Chicago, San Francisco, Oakland, Pittsburgh or Denver) we might expect more districts to adopt these nontraditional staffing models as a way to save costs and keep families happy.

    In some cities, it’s the charter schools that are offering just that: smaller nontraditional programs that make it work without extra subsidies.

    Some will argue that nontraditional schools (including charters) won’t work for every student. Districts must take all comers, including English learners, families needing extra supports, those wanting a full athletics program, specialty autism services, and so on. That said, the idea here is that larger districts needn’t offer those services in every school, provided they’re available elsewhere in the district.

    But it’s these larger districts that are the most wedded to the uniform staffing structure. It’s so deeply embedded in job titles and union rules, as well as program specifications and more.

    Tolerating small nontraditional schools would mean letting go of some of that rigidity and accepting the idea that schools can be successful without all those fixed inputs. And it might mean reducing some staff who believe their roles are protected when enshrined in a staffing formula. On the flip side, if the school in question has higher outcomes, and the choice is to close it or redesign its staffing structure to transform it into a more intentionally small school, parents and students may accept that trade if it means preserving the school community.

    It would also mean changing budgeting practices so that what gets allocated is a fair share of the dollars per pupil—in contrast with allocations based on standardized staffing prescriptions.

    The last decade saw a big push for inputs-based models, including “every school needs a counselor” or “every school needs a nurse.” As enrollments continue to fall, these inflexible one-size-fits-all allocations stand in the way of keeping small schools open.

    None of this is to say that every school should remain open. Many will inevitably close. But for some of those that deliver solid outcomes for their students, perhaps now is the right time to rethink the typical schooling model. 

    This commentary was originally published by the Thomas B. Fordham Institute.

    •••

    Marguerite Roza is Ddrector of the Edunomics Lab and research professor at Georgetown University, where she leads the McCourt School of Public Policy’s Certificate in Education Finance.

    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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  • California still lags behind pre-pandemic reading and math scores on national assessment

    California still lags behind pre-pandemic reading and math scores on national assessment


    Credit: Andrew Reed / EdSource

    Like most of the nation, California students were stuck in low gear again in 2024. On the National Assessment for Educational Progress (NAEP), they performed significantly below their pre-pandemic scores in math and reading.

    The gaps between the lowest-performing students, between low-income and well-off students, and among some racial and ethnic groups continued to widen overall, an ominous sign that many students are unprepared for high school and beyond.

    “Our nation is facing complex challenges in reading,” said Peggy Carr, commissioner of the National Center for Education Statistics, which administers NAEP, noting that nationwide, the percentage of eighth graders reading Below Basic, the lowest achievers, was 33% and the highest in the assessment’s history. The 40% of fourth graders scoring Below Basic was the highest in 20 years. 

    On the fourth grade reading assessment for NAEP, scores in five states, in light blue, declined compared with 2022, no states’ scores improved, and 47 states, including California, saw no statistically significant change.
    Credit: National Assessment of Educational Progress

    Also known as The Nation’s Report Card, NAEP is the only assessment that a representative number of students in fourth, eighth, and 12th grades in every state and Washington, D.C., take every two years—and thus, the most reliable measure of performance among states. The results for fourth and eighth graders were released today.

    On NAEP’s 500-point scale, where one or 2-point gains are common, and movement of 3 or more points are notable, California’s scores have consistently trailed the nation in both reading and math, although the gap in reading has narrowed. That had been especially so for eighth graders, whose score equaled the nation’s in 2022.

    But that result was the exception in a year in which scores fell sharply nationally and to a lesser extent in California in the aftermath of the pandemic and slow recovery. Nationally, math scores in 2022 dropped 8 points in eighth grade and 5 points in fourth, the largest drop in NAEP’s 25-year history.

    The latest scores show mostly no progress. Scores in fourth and eighth grade reading fell again, leaving California 9 points and the nation 8 points below 2017. Math was mixed — up in fourth grade, but not enough to catch 2019, with eighth grade taking another dip.

    The average scores, however, mask widening disparities between the highest and lowest-performing students. On fourth grade reading, student scores at the 90th achievement percentile fell 1 point between 2019 and 2024, and scores at the 75th percentile fell 3 points. However, scores for students in the 10th percentile fell 10 points, and for students in the 25th percentile, they fell 8 points.  

    The pattern looks about the same throughout the nation, with a serious long-term impact, said Eric Hanushek, a senior fellow at the Hoover Institution at Stanford University, who also was provided an early peek at the scores. “The top scorers are coming back, and the bottom is doing worse, which will affect income distribution over a lifetime,” he said.

    On fourth grade reading, California scored higher than three states (West Virginia, New Mexico, and Alaska), statistically about the same as 35 other states and behind 13 states. Only two states, Louisiana in reading and Alabama in math, scored above pre-pandemic levels of 2019.

    NAEP scores fall within four bands of achievement: Advanced, Proficient, Basic and Below Basic. The differences by race and ethnicity remained stark on all the tests. For example, on the fourth grade reading test, 7% of Black students and 19% of Latino students scored Proficient and Advanced, while 50% of Asian and 44% of white students scored that high.

    For all students, only 31% of California’s fourth graders scored Proficient or Advanced, compared with 32% nationally.

    NAEP defines students performing at the Basic level as having partially mastered knowledge and skills required to perform at a Proficient level. Proficient students have demonstrated a grasp of challenging material and can apply the knowledge to real-world situations and analytical skills. Advanced students showed superior performance.

    Scoring Below Basic doesn’t mean students in fourth grade can’t read. “We’re saying that they’re unlikely to be able to determine the meaning of a familiar word using context from the text. That’s a critical skill that students will really need for entering middle school,” said Lesley Muldoon, executive director of the National Assessment Governing Board, an independent body that Congress created to set policy for NAEP.

    Once education experts and advocates have had a chance to review the results and findings of surveys that the National Center for Educational Statistics conducted of students and teachers, there will be theories for the low scores and calls for efforts to address them. 

    In The 74 earlier this week, columnist Chad Aldeman evaluated a half-dozen explanations for declining scores nationwide. They include less reading and more TikTok; the abandonment of federal accountability for school performance, starting in the latter years of the Obama administration; the adoption of Common Core state standards a decade ago; and soaring student absenteeism rates post-Covid. While they have come down, the rates remain disproportionately high for the lowest-performing students, contributing to widening gaps in achievement.

    Dan Goldhaber, director of the Center for Analysis of Longitudinal Data in Education Research at the American Institutes for Research and one of a few education experts who got an early look at the NAEP results, would add another cause to the mix: emerging evidence of grade inflation, connected to the pandemic, and perceptions parents have of their own children’s learning. 

    “So the most immediate information that parents get is not state or NAEP tests. It’s (high) grades that are not showing parents where their kids stand in real time, to allow them to provide feedback to their kids and encourage them.”

    Goldhaber said there is evidence that teacher quality is largely what moves students; he’d focus on the inequitable distribution of schools with less qualified and credentialed teachers.

    Not comparable to Smarter Balanced

    Students also take annual state tests in math and English language arts, but NAEP officials warn not to make comparisons since each state’s measurements and standards are different. California aligns its tests to the Common Core standards, while NAEP’s tests are based on what experts say students in each grade should know. It’s harder to score Proficient or above on NAEP than on most state tests. In 2024, 44% of all California fourth graders students scored at or above Proficient on the Smarter Balanced test.

    About 11,000 students in California took NAEP, and only portions of it. That’s too few for individual students, schools, and districts to receive scores, with one exception. Annually, a representative number of students in 25 large districts, including Los Angeles Unified and San Diego Unified, take the Trial Urban District Assessment or TUDA. They provided one of the few bright spots in 2024.

    Los Angeles was one of three districts whose fourth grade math scores didn’t drop during the pandemic; it rose slightly from 2019 to 2024, and San Diego’s fell less than 2 points, a statistically insignificant amount. In eighth grade, Los Angeles dropped less than a point, and San Diego’s 8-point drop was lower than the national average for the districts. Los Angeles’ reading scores in fourth and eighth grade didn’t decline at all post-pandemic; San Diego’s increased a statistically insignificant amount in fourth grade, and its decline of 3 points was about the average for the TUDA districts.  

    California’s low percentage of students scoring Proficient or better on fourth grade reading and math (34% Proficient in fourth grade, 29% in eighth grade) will likely lead to calls for funding for teacher training on the new standards and evidence-based practices in kindergarten through second grade. 

    Gov. Gavin Newsom has proposed allocating $500 million in the 2025-26 budget for teacher training and to encourage districts to use discretionary funding on summer programs and tutoring to make up for lost Covid learning. Some states whose scores exceeded California’s on fourth-grade reading, including Mississippi, Connecticut and Colorado, adopted comprehensive reading plans grounded in the science of reading.





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  • Our failure in teaching early math shortchanges children for life

    Our failure in teaching early math shortchanges children for life


    Credit: Zaidee Stavely / EdSource

    In education circles, early literacy — such as ensuring all children are reading by third grade — gets a lot of attention, and rightfully so. Early reading skills have been shown to have a profound impact on kids, increasing their likelihood of graduating from high school, earning a higher salary and living a healthy life throughout adulthood. And especially in California, where we rank among the bottom of states in grade-level reading, we have a lot of work to do.

    However, another subject has proven to be an even greater predictor of later academic and life success than reading, yet gets far less attention: early math. And California is even further behind other states when it comes to grade-level math than it is with reading.

    To turn those results around, we must also put a stronger and more dedicated focus on improving early math skills.

    California ranks an unacceptable 50th in the country in eighth grade math achievement gaps. Only around 33% of our eighth graders meet or exceed state math standards, and California is consistently one of the lowest performing states in eighth grade math on national assessments. That failure in our classrooms then leads to struggles in adulthood. When looking at the ability of adults to use mathematics in their daily lives, California ranks near the bottom of all states.

    Alarmingly, this achievement gap in math skills is already evident by the time children enter kindergarten, with children from lower-income families and children of color showing significantly lower basic math skills than their peers. This disparity is then exacerbated by a lack of support in schools that serve low-income communities, where teachers often lack the preparation, professional development and materials needed to provide effective math instruction.

    A lack of early math skills has been shown to have a substantial effect in shaping a child’s future educational trajectory. Research has found that early math proficiency is a strong predictor of later academic success, particularly in the elementary grades (even more than early reading skills). Early math abilities also correlate with broader cognitive skills, as kids with stronger math skills in preschool tend to show better performance in reading, attention control and executive function. These results then hold across a wide array of students, underscoring that early math knowledge is not simply about numbers and calculations, but also about developing problem-solving skills, spatial awareness, and logical reasoning ­— all of which form the backbone of lifelong learning and personal development.

    Prioritizing early math education, particularly with a focus on skills such as the ability to work with numbers, problem-solving and reasoning, would also help mitigate some of the persistent inequalities in education. Kids from disadvantaged backgrounds who were provided early math instruction showed significant gains in their later academic performance, particularly in math and reading.

    Exposure to math early on also helps foster positive attitudes towards the subject, which can counteract the negative stereotypes and anxiety many children — especially girls and children of color — experience when they encounter math in later years. Early math can, therefore, not only improve academic performance, but also combat the social and psychological barriers that disproportionately affect marginalized groups.

    In 2023, the California State Board of Education approved a revised math framework, the statewide guidelines on teaching math, but as with past frameworks, there was neither sufficient nor sustained state funding for implementation. That could improve this year with Gov. Gavin Newsom proposing additional funding for teacher professional development and math coaches. But these would be one-time dollars and are not yet guaranteed. If we are serious about changing the trajectory of student proficiency in math, then we need to act like that. We need investments that match the task and are sustained over time until we see lasting improvements.

    We must focus on providing high-quality, evidence-based early math programs and ensuring every child, regardless of socioeconomic status, has access to these opportunities. We must prioritize professional development and coaching for early childhood educators, equipping them with the knowledge and tools necessary to teach early math effectively. We need high-quality instructional materials and assessments to successfully support and tailor early math learning experiences to meet each student’s needs. And this added attention must not come at the expense of supporting literacy programs — both are critical to kids’ development.

    Addressing the math gap is not merely a question of academic improvement. It is a moral imperative to ensure that all students, regardless of background, have an equal opportunity to succeed so we progress to a more equitable and just society. That increased success in the classroom then translates to increased success in the workforce as kids transition to adulthood, creating a stronger economic future for not just our kids, but collectively.

    No longer can we afford to not pay attention to our state’s failure in math achievement gaps and the critical need for early math programs. The equation is simple: The time to focus on math is now.

    •••

    Vince Stewart serves as the vice president of policy and programs at Children Now, a California-based children’s policy research and advocacy organization that works to improve children’s education, health and overall well-being.

    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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  • Winter Math Games – Education Coffee Break

    Winter Math Games – Education Coffee Break


    Snowball fight is a fun game for 2 -4 players. I have included differentiated packs working on adding number 1-5 and then working on number 10-15. This winter math games is perfect for kindergarten and 1st graders. Once all the cards are printed and cut, make a pile of the cards with addition facts and the Snowball FIGHT cards face down. The cards with number 1-5 or if you are playing the teen number game the number 10-15, should be set above the pile face up. These are the sum cards and need to be seen the entire time. Player 1 starts and pulls a card from the pile. They add the numbers and place the card on the correct sum. Player 1 continues with their turn, pulling cards and adding until they get the card SNOWBALL FIGHT. Their turn stops and the next player takes over. The snowball fight card can be put to the side. The game continues rotating through players until the card pile is done. ** If you wanted to differentiate this game for a single student, you can take away the SNOWBALL fight cards and set a timer for a minute. The students challenge could be how many cards could they solve in 1 minute.



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  • Seize the opportunity to select more effective math curriculum for California students

    Seize the opportunity to select more effective math curriculum for California students


    Credit: English Learners Success Forum

    I am a daughter of Mexican immigrants, born in the United States. Spanish is my first language. When I entered school, the language barrier was overwhelming. I see my story in the recent National Assessment of Educational Progress (NAEP) numbers. The report unveiled troubling trends in math performance, especially among English learners, underscoring the urgency of addressing this critical area.

    As a young Spanish speaker still learning English, I sat in the back of the classroom, feeling lost while my classmates actively participated. Contrary to what my parents taught my siblings and me, in school our linguistic background was considered a disadvantage, rather than an asset. I was a bright student with a father who was great with numbers without a calculator. Though my parents had only a second-grade education, they ensured my siblings and I could do math well. Yet, at school the perception was that because I didn’t know English, I couldn’t comprehend the content in other subjects either.

    Though my parents encouraged us to embrace learning, education and our cultural roots through our language, I struggled with my identity and found it challenging to express myself in English. The class instruction did not support my need to learn English while also helping me grasp rigorous content.

    As California confronts its educational challenges, a critical concern has emerged: the need for math instruction and a math curriculum that is accessible and meets the needs of all students, especially English learners.

    The National NAEP data indicates a concerning trend in math scores for both native English speakers and English learners showing a national decline in math scores for 4th and 8th graders, with 40% of 4th graders and only 28% of 8th graders achieving proficiency. Among Grade 8 math scores, English learners in the lowest percentile group experienced a six-point drop, widening the achievement gap with non-English learners, who only decreased by two points. In California, where nearly one out of every five students is learning English as a second language, it’s even more urgent that we address this crisis.

    Teacher voices and research consistently show that effective instructional materials are crucial. The California Math Framework adopted in 2023 specifically underscored that sense-making in mathematics is intricately linked to language development. It is critical for any math curriculum we choose to support all students in developing the skills needed to excel in mathematics.

    This is a critical moment for California as it is currently in the process of adopting math materials for 2026, which could significantly influence students’ achievement for years to come. The curriculum materials needed to change future outcomes are being selected now, and educators can demand high-quality instructional materials that are designed to support the needs of English learners.

    Education leaders play a pivotal role in this adoption process. We must advocate fiercely for the best interests of our students, especially English learners, to ensure they receive the education they deserve. Collaboration with educators, parents, and the community is crucial to ensure that we make informed decisions that cater to the diverse needs of our students.

    As California’s education leaders, we play a pivotal role, and there are specific actions that we can take to drive change.

    • Learn what high-quality materials for English learners look like. It’s vital to recognize what makes instructional materials effective. They should be culturally responsive, linguistically suitable and engaging, helping students access content while promoting language development.
    • Include representation of interest in committees. Ensuring voices are present in decision-making, like curriculum committees, fosters inclusivity. Engaging families and communities provides insights that create a more equitable educational environment.
    • Get involved now in curriculum adoption. Participating in the curriculum selection process enables educators to advocate for materials that support English learners. District leaders, school board members, educators and parents all have a role to play here.
    • Shift mindsets about materials together with professional learning. Changing educator perceptions and recognizing that traditional materials may not meet the diverse needs of English learners encourages innovative teaching strategies.

    If we fail to address the specific needs of the 1.1 million English learners in California’s K-12 schools, we risk perpetuating systemic inequalities, which broadens the achievement gap. The California Math Framework explicitly calls for the integration of language and content. California has an opportunity to make better curriculum choices that benefit all students and significantly improve the educational experience for English learners.

    By implementing these strategies, education leaders can foster change and a sustainable education process for English learners. Our children deserve nothing less.

    •••

    Alma Castro is the president of the Los Angeles County Schools Trustee Association, a member of the Lynwood Unified School Board, and director of California initiatives at the English Learners Success Forum, a collaboration of researchers, teachers, district leaders, and funders working to improve the quality and accessibility of instructional materials for English learners.

    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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