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Solving the math problem: Who decides how to teach math?

  • Writer: Joanne Jacobs
    Joanne Jacobs
  • Mar 11
  • 2 min read

When I started school in the 1950's, teachers worried that students were memorizing the times tables, but not understanding concepts. The "new math" came along in the 1960's to fix that. And, later, there was the "new new math."


It's 2026, and students have been told they are "mathematicians" whose wrong answers are signs of their brilliance. They're supposed to learn multiple ways to not solve a math problem. Yet, few understand why 1/3 is more than 1/4.


Photo: ClickerHappy/Pexels
Photo: ClickerHappy/Pexels

Across the nation, states are trying to figure out how to improve math education, writes Sarah Schwartz in Education Week. Many are working on statewide initiatives to raise very low proficiency rates.


Alabama has become a role model. The state "mandated early screening and intervention for students who are struggling and assigned math coaches to every K-5 public school," she writes. The state is showing progress, but large achievement gaps remain.


Some also point to Louisiana, which incentivizes districts to choose high-quality curricula in English/language arts and math instead of every district doing its own thing.


Most state plans require that instruction and materials be “evidence-based,” Schwartz writes. However, there's an ongoing debate on what the evidence shows.


"Decades of research in cognitive psychology and special education have shown that explicit instruction— modeling problem-solving methods and giving students lots of practice with them — can help struggling students learn math concepts," Schwartz writes. In short, it helps if teachers explain the math first.


But many prefer math educators prefer "a more inquiry-oriented approach," she writes. Instead of explaining first, teachers encourage students "to wrestle with complex problems," building conceptual understanding and math "dispositions."


The latest thing is to have students do this in small groups standing up and using white boards.


In Illinois, which is working on a plan, some want a balance between explicit teaching and inquiry, writes Schwartz. Others say that's how reading instruction went astray: "Balanced literacy" was tilted heavily toward "whole language" and away from phonics.


The state's draft needs more stress "on the importance of explicit instruction, repeated practice, and fact fluency," argues the Illinois Coalition for Evidence-Based Math Instruction, she reports.

Fact fluency is “almost like the phonics piece for math,” said Megan Wilhelm, the curriculum coordinator in Mascoutah School District 19. “If you don’t have your facts quickly, you’re going to really start to fall apart.”


On "Old School," Rick Hess writes about the perils of legislating education reform. It's hard to avoid rules, rigidity, red tape -- and check-the-box compliance.


Requiring “high-quality” instructional materials "doesn’t mean you get high-quality materials," he writes. And, "hiring instructional coaches and delivering mandated trainings doesn’t mean pedagogy will improve. It matters what those coaches do, what those trainings cover, whether teachers take them seriously, and whether there’s follow-through."

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Darren
Mar 13

My district put out that the College Board is looking to modify AP Statistics so that Integrated Math 3/Algebra 2 isn't required. IM3/Alg2 is usually a requirement for admission to a university, but now we're trying to create a (supposedly) college-level course that purposely evades that requirement.

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Suzanne
Mar 20
Replying to

I taught AP Latin for many years (through 4 different curricula). Over the last two decades, the length of the required Latin readings kept getting curtailed (and much less Latin needed to be mastered by the student). The newest curriculum, which I didn't teach, was the 'smallest' yet. I think they're trying to make it ever easier to 'do well,' which I suppose means managing to get a 3 on the exam (out of 5).

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Bruce William Smith
Mar 12
Rated 2 out of 5 stars.

The teachers need to be trained before they start teaching by themselves in their classrooms, and, before they are accepted by university faculties of education, they need to be academically qualified more highly than they are now in the United States; because so few American teachers have the mathematical qualifications required by the world's educational leaders, they need to be more highly paid than their peers in the art and PE departments, which means employment contracts need to be restructured all over the USA.

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Bill
Mar 12

I remember old math, and the endless drills done with getting the basics of place value, add, subtract, multiply divide, fractions, etc in elementary school in the early 70's...


Rob makes a valid point, as everyone learns at a different pace, which is why grouping students by ability made more sense than than by age cohort... students receives stanine scores (1-3) low, (4-6) average, and (7-9) high (and the bulk of us were in the 4-6 (average) range which is the Bell curve...


Learning the basics was the way you did things in school 50+ years ago, and you were expected to comply, otherwise you got the lecture and more from mom and dad...


These days, I see so many…


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Rob
Mar 11
Rated 5 out of 5 stars.

I don't see what was so wrong with the old math. Way back in prehistoric times, all of my classmates and I could do arithmetic well by fourth grade, including fractions and decimals. Some were faster than others and some missed a few problems, but the whole class could do all of the basics. How do I know this? Because we all had to stand up and do problems on the chalkboard and we learned from each other's mistakes. I really doubt we were a class of geniuses. They taught us how it worked and they drilled us relentlessly. Yes, the old drill and kill.


I guess it would be considered child abuse now, but we learned arithmetic. Real mat…

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Bill
Mar 12
Replying to

We called it DRILL and KILL cause you were usually brain dead by the end of each class...LOL

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OrangeMath
Mar 11
Rated 5 out of 5 stars.

Standup Math (known as BTC, not SUM) actually works better with students who have checked out (e.g., continuation school), but it's not clear that students can work mathematically. I use Standup Math daily. However, ideology drives adoption and curriculum. Leaders believe that the concept comes first, skill later, which is crazy wrong for most students. I'm teaching polite, inherently intelligent 17-year-olds who don't even know what "solving" means. They can do very little. Fifty years ago at Stanford (!), Physics was taught with Halliday & Resnick. I did many problem sets. However, a few percent of students used the Feynman Lectures. That system actually works. In short, teach the HOW of Math and KEY VOCABULARY (e.g., Integers) and toss unnecessary words like "composite…

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