The Kid I Didn’t Kill (Ellie Herman)

Dave aka Mr. Math Teacher:

Re-blogging this latest post from Larry Cuban as well…

Ellie nailed it. In my brief time teaching, especially this past school year, I lived these moments too often. So much so I sought respite from teaching algebra (where mostly freshman struggle behaviorally with their transition to high school) this coming school year. I broke under the stress and strain of too many students like Gio, Fernie, Tiffany, and Peter feeding off of each others challenges in a classroom, destroying the learning environment and nearly everything around them, metaphysically speaking.

The irony is I became a teacher with the (naive) hope of helping just these students but now realize I, as a teacher of many, am unable to salve the deep wounds of the few in any material manner as the staccato nature of their outbursts were too difficult to predict or to address while directing the learning of dozens of others.

Each of the following quotes from Ellie’s piece resonate deeply with me.

Once, I had three in one class, turning it into a Lord of the Flies situation with clusters of high-achieving girls taking me aside in a weeping, enraged circle and demanding that the three boys with extreme behavior problems be removed permanently from the class.

“Teaching,” Cynthia Castillo told me, “is an act of faith.” I remember. I hope to get there.

Originally posted on Larry Cuban on School Reform and Classroom Practice:

Taken from “About” in Herman’s blog:

My name is Ellie Herman.  If you want to find out what I’m doing here and why, click here on why I’m writing this blog.  I’ve been working on this project since the beginning of September….

As for my bio, I’m a writer and English teacher.  From 2007 to 2013, I taught Drama, Advanced Drama, Creative Writing, English 11 and 9th grade Composition at a charter high school in South Los Angeles.

Before that, I was a writer/producer for many TV shows, including The Riches, Desperate Housewives, Chicago Hope and Newhart.  My fiction has appeared in many literary journals, including The Massachusetts Review, The Missouri Review and the O.Henry Awards Collection.

I attended public schools in Winnetka, Illinois from kindergarten through high school and graduated from Bryn Mawr College with a degree in English.  I have a teaching credential from Cal State Northridge.  My three children attended Oakwood School, a private school…

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Teacher Humor re: Differentiated Instruction

A comment made by CA Maestra to my recent post Brothers from Another Mother: Management Fads and Educational Policies included a link to a YouTube video that lampoons what some call a fad, while others are dead serious about the theory and its application.  Its name? Differentiated Instruction.

For what it is worth, I found the tongue-in-cheek video to be hilarious.  If you cannot laugh at yourself, and your predicament, then you miss out on the joy of living, and may have resigned yourself to the utter futility of it all; no one wins in that situation.  While there are definite needs for, and benefits to, differentiated instruction, its trite use by so many dilutes its value, and undermines the need it was designed to serve.   Like all political humor, there is bitter truth wrapped in a comedic croissant.  Peel back the layers and understand the basis for the humor, and true justice may be served as (most) experienced teachers know best whether it is feasible or not to apply [fill in the blank] teaching theory in their classroom with their students given the unique circumstances of each.

Watch the video and let me know your thoughts.  Please keep comments clean and productive.

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Success with Algebra Intervention?

Looking back on the 2013-2014 school year for my three algebra 1 periods, my third year as a full-time teacher, I would like to think that the hard work, crazy hours, and stress filled moments were worth it.  If I am truly honest with myself, they were not, especially for my family.  I sacrificed too much for too little.  Yes, students improved in their mathematical proficiency, of that I am sure.  Some students made huge gains, many slight gains, and a few appeared to recede due to unfortunate personal situations.  Yet, few humans could endure, year after year, heck – maybe not even for a week, the level of effort required of teachers to move the needle in similar circumstances; specifically, if moving the needle means that most, or all, students pass the course with scaffolding or other interventions.

I believe these circumstances, better known as initial conditions in the world of mathematics and science, are central to perpetuating what many call the achievement gap, or the “fall” in our national standing worldwide in academic achievement; whether either, the achievement gap or the fall in our nation’s worldwide ranking, are truly manifestations of what they purportedly represent is debatable.  Nonetheless, rearranging the deck chairs, such as the shuffling and tweaking of content standards à la the Common Core, will not alter the fate of our faulty course in any meaningful manner as there may not be a solution given the constraints and initial conditions no matter what methods are applied.

In my view, revamping our “one size fits all,” “damn the torpedoes” approach to public education to give students, and their families, more influence over their path forward offers our greatest hope.  But that is for a future post.  For now, let us look in the mirror a moment to see the situation facing typical Title I high school algebra 1 classes.

Years Behind in Prerequisite Understanding

The immense range of student prerequisite understanding, mostly years below grade level, made it nearly impossible to teach students the district specified Common Core curriculum for algebra 1; while earlier cohorts had similar levels of understanding, I had much more influence with them over the curriculum: content, pacing, assessments, and etcetera. [See the figure titled "Final Exam versus Readiness Test Scatterplots" via the earlier link for a clear comparison between cohorts spanning three academic years.]

The following figure serves as a proxy for student readiness with each student’s scores on two different diagnostic tests represented as a diamond.  The horizontal axis represents their score on a thirty question assessment with mostly fifth and sixth grade level topics.  The vertical axis represents their score on a fifty question assessment with some overlapping topics along with straightforward algebra 1 topics, as most students to date took algebra 1 at least once beforehand; this is changing with the onset of Common Core.

Pretest Scores

Red diamonds represent students who transferred out of my class, for a variety of reasons to include being moved up to geometry given their scores to leaving the school or district. [1]  Green diamonds represent students who transferred into my class at some point in the school year whether from another algebra class in our school or another school or district.  Blue diamonds represent students who started and finished in my class.  Notice how scores vary over a range of seventy to eighty percentage points on each test.  This variance, along with the below passing means on each, underscores the disparity in student readiness for algebra 1.

Furthermore, while the new Common Core based curriculum included the traditional linear- and quadratic relationships and functions covered with earlier cohorts, it expanded to include exponential functions, complex numbers, and recursive notation, among others.  All of these topics needed to be presented against a richer backdrop of mathematical practices, which compounded student difficulty as they suffered more than prior cohorts’ who were mostly limited to procedural misunderstandings.

Hence, at the end of the first semester, realizing the folly of continuing to teach all students the same district-specified curriculum, I requested that my three periods of algebra 1 be split into two concurrently run sections per period: one algebra 1 and the other algebra intervention.  While this measurably helped students, as the data below show, it came at too great a cost for me, so much so that I requested not to teach algebra this coming fall.  My workaholic tendencies brought me the debilitating effect of burnout.  But enough of that for now.  Let’s look at some further data.


The following data show improvements of 14% and 20%, on average, of students’ scores on two diagnostic exams given at the outset of the school year as a pretest and at the end of the school as a post-test after an intensive second semester intervention program.

Post-test Student Score Improvement (%)

Using a one-sided, paired t-test, student gains (n=56) after the intervention are considered statistically significant at a p-level far less than 0.01 with associated effect sizes of just over 0.5, computed as Cohen’s d, suggesting a moderate to high level of practical significance.  Students who were not present for both the pretest and post-test were not included in this analysis.

The following figure illustrates gains using a percentage point basis.

Post-test Student Score Improvement (percentage points)

Note that the preponderance of scores in both figures show positive improvements on both assessments.  The two prominent negative outliers in the data represent students who struggled with significant personal issues throughout the school year; I believe the scores belie their true ability, or understanding, as they each scored highly on both pretests.  Removing their contribution from the data shifts the average improvement upwards to ten percentage points for each assessment.

Comparing Pre-test to Post-test Score Distributions

Comparing pre-test and post-test distributions of student scores on the math lab diagnostic as box and whisker plots below shows a clear upward shift in scores.  At the same time, a significant percentage of students still scored below basic in their understanding of these foundational mathematics topics.

ML Diag Pre-Post BWP

Likewise, comparing pre-test and post-test distributions of student scores on the algebra 1 diagnostic as box and whisker plots below shows a clear upward shift in scores.  With this assessment, the higher initial median score coupled with the intervention gain indicates that student readiness improved significantly, hopefully leading to success in a later algebra 1 course.

Alg1 Diag Pre-Post BWP



Clearly students improved in their scores on each of these diagnostic assessments.  While many students still failed the course second semester, whether algebra 1 or algebra intervention, most improved in their mathematical proficiency nonetheless.  Whether the improvement is enough for those students to pass algebra 1 next school year, or as credit recovery during the summer, only time will tell.  I believe most are now more able to pass, and likely will if they apply themselves.  Whether they do or not is one of the mysteries of student behavior we have yet to unravel, however.


[1]  One student was a misplaced senior who failed second semester algebra 2 the prior year: he scored near 100% on both tests – I was sad to see him go as he, nearly singularly, possessed the necessary skill to do well in the course.

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