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Helping teachers break barriers in math
Explore strategies, frameworks, resources, and tools to help secondary math teachers become gatebreakers - supporting students who struggle with confidence, clarity, and ease.


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What is a Math Gatebreaker™️? Teaching 6-12 Math Intervention (Routledge)
To understand what a math gatebreaker is we must first understand what math gatekeeping is. When I first became a math teacher, I didn’t kno

Juliana Tapper
Jun 21, 20243 min read


Math Intervention
I have seen first hand the power of setting high expectations of grade level content with students and I will never go back. I have seen...

Juliana Tapper
Feb 19, 20248 min read


Low & No Cost Math PBL Resources
The other week I had an experience that has helped change my mind and see the value of PBL math resources in some situations. I've been supporting Colorado Department of Education Facility Schools since 2020. If you're unfamiliar with a "Facility School" it's a school - sometimes located within a hospital - where students receive mental health services along with education. They might be on a mental health hold for 72 hours at this facility or they might be ordered there for

Juliana Tapper
Mar 12, 20234 min read


C.A.R.E.S. Math Achievement Framework™ For Students Who Struggle
Math has long been the most failed subject in middle school and high school. According to Ron Schachter's work, Solving Our Algebra Problem: Getting All Students through Algebra I to Improve Graduation Rates,* math is the reason cited by over 80% of high school dropouts that they gave up on school. And the pandemic has made math equity issues far more robust in the US and beyond. LAUSD, one of the largest school districts in the country, has “lost 20 years of math progress du

Juliana Tapper
Sep 26, 20225 min read


How To Have High Expectations Of Students Who Are Multiple Grade Levels Behind In Math
I think most of us remember learning about the Pygmalion Effect in our teacher education classes. Here’s a refresher in case you need it… Rosenthal and Jacobson originally described the Pygmalion Effect as the following: “When we expect certain behaviors of others, we are likely to act in ways that make the expected behavior more likely to occur.” (Rosenthal and Babad, 1985) In terms of teaching students who are multiple grade levels behind, I take this to mean: When we pass

Juliana Tapper
Sep 19, 20225 min read


Structuring Your Math Intervention Period
Let’s talk about how to structure your math intervention period. Most schools give teachers free rein over structuring this class, which sounds amazing, but is actually more challenging in practice than it sounds. In this post I’ll be tackling two challenges with structuring math intervention: What do I teach in math intervention? How do I fill the time period for the intervention class? You might also find this previous blog post helpful about different types of interventio

Juliana Tapper
Jun 3, 20225 min read


Case Study: Math Department Satisfaction Up 25%
You might be hesitant about an independent math consultant who claims to help teachers working with students who struggle. You might be...

Juliana Tapper
Apr 12, 20222 min read


Math Teaching Textbooks - A guide for 6-12th teachers
DISCLAIMER: I have not been offered nor have I received any compensation for this post or the recommendations I share. None of the links...

Juliana Tapper
Apr 9, 20224 min read


Case Study: Statewide Support And Rave Math Teacher Reviews
It’s natural to wonder, “is this experience going to be worth my time and money?” Especially math professional development. You might be...

Juliana Tapper
Apr 9, 20222 min read


Case Study: 6% Increase In Math SPED Pass Rates… in one semester? Yes, please!
It’s natural to wonder, “is this experience going to be worth my time and money?” Especially math professional development. You might be...

Juliana Tapper
Apr 8, 20222 min read


Case Study: How Sarah went from loathing to loving teaching repeater algebra 1 students
It’s natural to wonder, “is this workshop going to be worth my time and money?” Especially math professional development. You might be...

Juliana Tapper
Apr 7, 20222 min read


3 Amazing Mathematics Professional Development for Teachers
I’ve taught math at three different high schools. I’ve attended some amazing professional development for math teachers, and I’ve also...

Juliana Tapper
Mar 9, 20223 min read


5 Research Based Math Instructional Strategies
Not only have I myself been a high school math intervention and Algebra 1 teacher at three Title 1 schools, but I’ve observed well over 1,000 secondary math classrooms in my work as a district math coach and my independent client work. I believe the following five qualities are needed every single day in our middle school and high school math classrooms in order to effectively reach each and every student. Quality #1: Collaboration Research: Promoting Student Collaboration

Juliana Tapper
Feb 25, 20223 min read


Math Instructional Strategies
Let me share a bit about my first year of teaching with you. Year 1 was a rude awakening. I was teaching Math Intervention and Algebra 1 in South Central Los Angeles and while I chose to teach in South Central, it was a very different classroom experience than I had experienced in my own white, upper middle class neighborhood. Here’s how I thought it was supposed to go. Direct instruction → Worksheet practice → Homework. Students would sit quietly and take notes then practice

Juliana Tapper
Feb 22, 20224 min read


Should "I do, We do, You do" in math?
Gradual Release of Responsibility (GRR) gets a bad rap because many teachers take it to mean 20 minutes of “I do” aka direct instruction, then 20 minutes of “we do” aka worksheet practice, then 20 minutes of “you do” aka getting started on homework. As I learned my first year of teaching, that doesn't work for students who struggle. Here are five small adjustments to make your math instruction more effective for your students who struggle. Five "I Do, We Do, You Do" Tips 1. B

Juliana Tapper
Jan 16, 20223 min read


How to Structure Math Intervention: 4 Types of Math Intervention Programs
I’ve been a high school math intervention teacher at 3 different schools. I’ve been told to teach below grade level, at grade level, and...

Juliana Tapper
Nov 29, 20215 min read


5 Clues You Need a Math Consultant
Since I left the classroom in 2018 to found CollaboratEd Consulting, I’ve been hired by over 45 schools and provided high quality math...

Juliana Tapper
Nov 15, 20215 min read


Helping Students To Stop Failing Math
In the teacher groups I’m a part of, I keep seeing comments come up about the high amount of students failing math. Comments like, “80%...

Juliana Tapper
Sep 13, 20213 min read


Effective Weekly Formative Assessment in Math
My first year of teaching went a little like this… Direct instruction, worksheet, homework. Students off task during worksheet time. No one did homework. Students continued failing district benchmark exams. I felt frustrated and over worked. My second year of teaching was a little different. My principal made all of us switch to rubric grading. It was almost standards based grading, but we could still use it with our unit assessments and then convert grades into percentages f

Juliana Tapper
Sep 7, 20212 min read


Formative Assessment in Math
About a decade ago I was a Math Teacher on Special Assignment at a large urban school district. The math subject area coordinator took me...

Juliana Tapper
Aug 30, 20214 min read
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