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  • ABOUT FCI
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The Science of Math: What does cognitive science tell us about learning math?

November 14, 2025 No Comments

By: Paul Powell and Kathryn Perkins Earlier this month, we hosted a new workshop for our team titled “The Science of Math.” This represents an area of increasing importance, not just close to home here in Florida. Nationally, the most recent NAEP assessment, considered “our nation’s report card, showed alarming trends in math, including a continued lack of post-COVID recovery (though the downward trend began well before) and the greatest declines for students already performing in the bottom quartile. As written earlier this year: “The country’s lowest-scoring students are in free fall.” As such, we’ve been thinking a lot about math lately, pondering the questions: What does cognitive science tell us about learning math? And how can we make these takeaways applicable and actionable at the school and classroom level?  In an earlier blog on the topic, we focused on the power of retrieval practice; this month, we’ll shift to introducing new material effectively.  Explore or Explicit? Researchers have often posed the question of whether to introduce new material via student exploration or direct instruction, and the research is confusing, with multiple studies in each camp citing positive effects of the approach.  The Research While both approaches can add value

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Creating Learning Teams

October 10, 2025 No Comments

The theme of our newsletter this month is creating learning teams – and it is my favorite yet! At the beginning of my teaching career, I was overwhelmed by all I needed to learn to be great for my students. However, because I was fortunate enough to work at a school and network that truly valued, prioritized, and invested in my growth, I was motivated and inspired by the challenge. It’s what hooked me into teaching and what kept me there, and I believe all teachers deserve the same experience. FCI Educate exists to create opportunities for professional learning that will improve student learning, be accessible, and help teachers feel valued and invested in. We have some fantastic offerings coming up that will do all of that. For more, read on below – we hope you will join us and can’t wait to see you there! ___________________________________________________________ November 3 Science of Reading and Science of Math The transition out of “beginning-of-year” mode offers the perfect moment for educators to deep dive into content and instructional practice, ensuring a year of transformational learning. Join FCI as we host Teach Like a Champion for a workshop on the science of reading, while

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From Foundations of Management to Monitor the Learning: Instructional Coaching in September and Beyond

September 10, 2025 No Comments

Last month, we featured beginning-of-year instructional coaching practices to kickstart student achievement. We know, though, that strong classroom management is a necessary but insufficient ingredient for student learning. So once classroom foundations are set, how do you shift to coaching with student learning at the forefront? We propose that you Monitor the Learning.  The Monitor the Learning framework for instructional coaching operates around the student work analysis cycle. As an instructional coach, you: …and repeat the cycle! The premise is simple: great coaching should drive student learning. By centering student work in the coaching cycle, we guarantee that it does.  Creating the Conditions As we collectively approach the 25-26 school year’s one month mark, it’s time to begin the shift from beginning of year instructional coaching to Monitoring the Learning, and there are key steps to create the conditions for success in this work. For one, school leaders need to determine which work is the highest priority for analysis. Depending on your school structures, levels of curricular and assessment alignment, and coaching aptitude, there are two approaches: keeping your cycles predictable and systematized, or keeping them flexible. For schools in which curriculum and assessment are aligned and shared, or where

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FCI Insight – (Foundations for Success: Two Tools to Kickstart Instructional Coaching in 25-26)

August 14, 2025 No Comments

Earlier this summer, we shared a blog post on designing instructional coaching systems to ensure teacher growth. And while systems for instructional coaching are certainly necessary to coaching success, they are, on their own, insufficient in driving teacher growth. This is, of course, because the content of coaching determines whether or not teachers actually improve in practices that drive student learning.  To support leaders in ensuring high-leverage coaching of their teachers, particularly at the beginning of the school year, we offer two resources: our Action Steps Guide and Beginning-of-Year Observation Checklist. More on each below. Action Step Guide: The Action Steps Guide is designed as a trajectory of core teaching practices for the novice teacher to develop. It breaks steps into those focused on classroom management (left column) and those related to instruction (right column), as well as those we propose should be covered during pre-school summer months, in quarter 1 and quarter 2.  A few notes: We recommend school leaders take stock of the needs of their teachers (returning teachers based on spring 2025, and new teachers based on the initial days of summer preservice), then cross-check these needs with their professional learning plan from now until December. Instructional

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FCI Insight – July (Establish Strong Coaching Practice)

July 16, 2025 No Comments

This month’s blog covers foundational steps to establishing a strong coaching practice in your network or school. See here for all of the embedded resources you’ll find in the entry below for ease of access: ________________________________________________________ I recently came across a 2018 meta-analysis on the effectiveness of coaching that found the difference in impact of teachers who had a consistent coach and those who did not was the same as the difference between a novice teacher and one with five to ten years of experience. Read that again – receiving effective coaching can catapult the performance of a new or novice teacher! For school leaders who spend their summer thinking about how to take their schools to the next level, developing or enhancing an instructional coaching plan is a great place to begin. Effective instructional coaching includes many components: identifying a class’ needs, supporting your teacher in making tweaks to curriculum and/or instructional practice to support those needs, and establishing a coaching relationship in which there is trust and rapport. However, before tackling any of those elements, there are foundational planning and systems steps that need to be in place to create the environment for coaching to thrive; this blog

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FCI Insight (Instructional Growth Opportunities)

June 11, 2025 No Comments

In recent blogs, we’ve been diving deep into exemplary math instruction, breaking down what research reveals about how to develop math problem solvers. This is a topic we’re deeply interested in and will return to in the fall. This month, though, we want to shift our attention to the beautiful moment that is the close of the school year and the start of summer: a time of celebration and recognition, rest and recharge, and planning and envisioning the blank canvas that is the year ahead. Here at FCI, this moment marks the launch of a new season of professional learning, and to us, there’s nothing more exciting than preparing teachers and leaders to launch a new school year even more successfully than in the past. As you read this, we’re closing out our third annual instructional leadership workshop, with a newly revamped framework called Monitor the Learning. (If you weren’t able to join us this year, we hope to see you next – early June in both Orlando and Miami!) And looking ahead, we’re gearing up to welcome Teach Like a Champion (TLAC), the world-renowned codifiers of instructional practice based in research and clinical observation, on July 29-31 in both

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Science of Math (Make It Concrete)

May 9, 2025 No Comments

Last month, we introduced the topic of our next few posts: the Science of Math instruction. This is an area of increasing importance, not just here in Florida, but nationally. The most recent National Assessment of Educational Progress (NAEP) data showed alarming trends in math, including a continued lack of post-COVID recovery with the greatest declines among students already performing in the bottom quartile. As written in a recent New York Times article: “The country’s lowest scoring students are in free fall.” As such, we’ve been thinking a lot about math as of late, considering: What does cognitive science tell us about learning math? And how can we make these takeaways applicable and actionable at the school and classroom level?  But what does it look like to make math concrete in older classes or with more complex math topics?  One practice we all know and love in the earliest grade levels is making math concrete. This likely conjures images of objects or manipulatives used to represent numbers or situations, or, a bit later, the use of visuals or pictures to concretize story problems. There is solid research backing these strategies. Several leading studies highlight the benefits of using manipulatives in

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FCI – Science of Math

April 7, 2025 No Comments

Education headlines rarely permeate the cultural discourse, though there are exceptions. Over the last four years, one seismic exception has been the surge of interest in the Science of Reading. I’d estimate that most average-to-well-educated Americans could articulate at least its central claim – that direct phonics instruction is key to developing competent readers. Of course, additional—and crucial—elements to the science, including explicit vocabulary instruction and the building of comprehensive background knowledge, are less well known.  FCI is a staunch advocate of the Science of Reading. While we don’t believe in reinventing the wheel on K-2 instructional best practices for “teaching to read” since the space is full of fantastic curriculum and professional learning providers, we offer support in the less well-known elements mentioned above. Through our workshops (including our annual Science of Reading session focused on grades 3-12) and blogs, we spotlight best practices in explicit vocabulary instruction and background knowledge. Surprisingly, the natural extension of the Science of Reading work – the Science of Math – has yet to captivate the attention of education experts and the country at large in quite the same way. That said, it is no less important: 2024 NAEP data shows less than

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Instructional Best Practice (Background Knowledge, pt 3 – Resources)

March 11, 2025 No Comments

In recent blogs, we’ve spotlighted the importance of intentional knowledge building, and, specifically, purposeful lesson launching and explicit vocabulary instruction. We know there is need: recent nationwide NAEP reading results shouldn’t be overlooked – and while there has been significant progress to date in the Science of Reading movement, it has been mainly in the spread of research-backed phonics instruction, with less attention paid to other aspects of that same science, notably the work of supporting student comprehension of complex texts by building background knowledge. To live out this mission, leaders and teachers must start with a vision for their students’ intentional and coherent knowledge progression. Today, we’ll look at how the Florida state standards are designed horizontally and vertically to help us do exactly that. Horizontal Standards Alignment: Knowledge Building at the Grade-Level Horizontal alignment refers to the practice of ensuring that students in the same grade level have consistent and coherent learning experiences – and Florida educators can leverage the state standards to achieve this end.  Let’s take an example in second grade. If we look first to Social Studies, Florida’s “Civics & Government” strand includes the standard, “Foundations of Government, Law and the American Political System,” which

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Vocabulary is knowledge — let’s teach it that way!

February 13, 2025 No Comments

I recently enjoyed sitting in a 3rd-grade literacy class midway through E.B. White’s classic, Charlotte’s Web. As the teacher facilitated a beautiful shared reading of a new chapter, students encountered the following exchange between Charlotte and a fellow animal: The teacher smartly paused, realizing the difficulty of the section, and asked if any students knew what “acrobat” meant. How should the teacher address this challenge, which comes up daily in all content areas and grade levels? Read on for a quick look at the research and its practical application in the classroom. The Why: Research on Vocabulary The science of reading has long considered vocabulary instruction a key pillar of learning to read. After all, in addition to being able to sound out words, students have to know the meaning of the word to comprehend the text. This is related to the research, covered in last month’s blog, which shows that a vast and varied knowledge base helps us learn more quickly and adeptly because knowledge acts as velcro to other knowledge. In the case of vocabulary, more words = more velcro. In addition to supporting comprehension generally, knowing many and varied vocabulary words reduces the load on our working

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