Thursday, October 24, 2019
US flag

Hogan orders more summer, gets an earful

When Gov Larry Hogan ordered public schools in Maryland to start the year after Labor Day and finish it by June 15, he was pummeled by superintendents, school board members, teachers, and a few others in the education field. He responded to critics by addressing their concerns in a memo. Most of it adopted the “he said, she said” style, but there was one response that addressed mathematics, and that’s what I want to talk about.

Gov Hogan (shades) and Comptroller Peter Franchot talk with reporters (Maryland GovPics / Flickr CC)

The Anne Arundel County Public Schools Board Argued That It Would Be “Mathematically Impossible” To Begin School After Labor Day And For School To End On June 15.

“A post Labor Day start and mandated June 15 finish to the school year makes it mathematically impossible to convert the required number of days needed to school days solely within the existing 2017-2018 school year calendar.” (Press Release, “Impact Of Gov. Larry Hogan’s Executive Order On Anne Arundel County Public Schools Calendar,” Anne Arundel County Public Schools, 8/31/16)


Worcester County’s 2016-2017 School Year Will Start After Labor Day And End In Mid-June.

For the 2016-2017 school year, Worcester County Public Schools commence on September 6th and end on June 16th. The school system takes the following days off:

  • Oct. 21: MSEA Conference
  • Nov. 8: Professional Day/Election Day
  • Nov. 11: Professional Day/Veterans Day
  • Nov. 23–25: Thanksgiving Break
  • Dec. 22–Jan. 2: Winter Break
  • Jan. 16: Martin Luther King Jr. Day

  • Feb. 3: Professional Day
  • Feb. 20: Presidents Day
  • April 13: Professional Day
  • April 14–17: Spring Break
  • May 29: Memorial Day.

(“Calendar,” Worcester County Board Of Education, Accessed: 9/1/16)

The assertion of “mathematical impossibility” isn’t an opinion; rather, it implies a proof has been put forth. That’s unlikely, unless the person who wrote the memo referenced above doesn’t know what mathematical impossibility means.

For example, the statement below is mathematically impossible:

5 + x = 6 + x

No value for x in the universe will make this a true statement. That means it’s “mathematically impossible” that x + 5 = x + 6. On the other hand, the statement

5x = 6x

is not impossible. For example, if x = 0, the statement is true. This is where the esteemed educators in Anne Arundel County may have become confused. If I force a “constraint” on the value of x, like saying that x can’t be 0, a statement that wasn’t mathematically impossible in an unconstrained world becomes mathematically impossible.

Now, we all know school systems have all kinds of constraints on their calendars. They can’t, for instance, have class on Saturday or Sunday. I don’t know why that constraint exists, but it’s a constraint (state law). They also have to provide days off for any days that many, many children are likely to miss, such as Christmas or Thanksgiving.

But the number of weekdays between Labor Day and June 15 in any random year is approximately between 201 and 205. Those are the minimum and maximum values for the next 10 school years anyway. State law requires 180 school days.

Day After Labor Day June 15 on New Year’s Day on Weekdays Available
Sept. 5, 2017 Friday Monday 204
Sept. 4, 2018 Saturday Tuesday 204
Sept. 3, 2019 Monday Wednesday 205
Sept. 8, 2020 Tuesday Friday 201
Sept. 7, 2021 Wednesday Saturday 202
Sept. 6, 2022 Thursday Sunday 203
Sept. 5, 2023 Saturday Monday 204
Sept. 3, 2024 Sunday Wednesday 204
Sept. 2, 2025 Monday Thursday 205
Sept. 8, 2026 Tuesday Friday 201

Assuming two days off for Thanksgiving and at least six days off around New Year’s Day, that leaves anywhere between 13 and 17 days for schools to schedule the days off. Given a 10-month calendar, that’s about one and a half days per month, in addition to Thanksgiving and Christmas.

One final note: School districts have to plan for snow days, and they usually allocate five days at the end of the year and hold those days in reserve. The executive order makes no provisions for emergency closures, so let’s say we have to come up with 185 days between Labor Day and June 15 and we therefore have between eight and 12 days to use outside Christmas and Thanksgiving. Work the problem. Which days off do you want your school to use?

It may be difficult, given an individual system’s constraints, but don’t fall for the logic that it’s “mathematically impossible.” If it were, I wouldn’t be able to come up with even one example of how it could be done, and I’ve written a little web app that will allow people to pick and choose which days off they would like to have between Labor Day and June 15 for the next 20 years.

Actually, it isn’t even difficult. I can in a few minutes, come up with several solutions. As in my 5x = 6x example, to prove that something isn’t impossible all I have to do is do it. So it’s done.

Voxitatis will feature content over the next few days to describe the fallout from the announcement of this executive order. It has drawn both fire and water from both sides, and we’ll get this sorted out soon enough.

Paul Katula is the executive editor of the Voxitatis Research Foundation, which publishes this blog. For more information, see the About page.

Recent posts

MoCo doubles down on summer learning loss

Research is at least equivocal about summer learning loss, but maybe there's something to a new plan in Montgomery County, Md.

Downers North lights up the gym for Beth

Ongoing fundraising drives for a Downers Grove N. volleyball player killed by an intoxicated driver in Feb. are going strong in this western suburb.

High-payroll Yankees don’t make World Series

The World Series begins Tuesday, but some of the playoff games can teach us valuable things about youth sports, investment, etc.

Chicago teacher strike enters calendar week 2

Chicago teachers strike for the 3rd day Monday; the union wants smaller class sizes and support for paraprofessionals.

What happened after a coach disarmed a student

In Oregon last May, a high school coach saw a student carrying a gun and disarmed him. Now we know what happened next.

Fox Island disappears in the Chesapeake

An island that has provided some environmental education for many is being lost to rising sea levels in the Chesapeake Bay.

Ohio University hazing charges bring suspensions

The university is investigating hazing charges brought against several student organizations and social groups.

Vaping in a Md. high school

Clarksburg HS, like others in Montgomery County and across the nation, has a vaping problem among its students.

No Howard Co. juniors face required redistricting

Howard Co., Md., faces not only overcrowding but wide gaps in terms of socioeconomic status of families at its diverse schools.

Monkeys beat humans in cognitive flexibility

When we go about solving problems, we are sometimes so fixed in our ways that we fail to explore more efficient solution strategies.

Calif. law requires a sane start time for teens

A new law in Calif. will require public middle schools to start no earlier than 8:00 and high schools no earlier than 8:30.