Check out four of our top math articles from the archives! They offer insights and practical suggestions for making math classrooms more equitable learning spaces for students.
IFL partner Todd County, South Dakota serves nearly an entirely Indigenous student population. However, their teachers do not reflect that population. To bridge that gap, they are putting their students’ culture at the center of their education.
Too often we hear the suggestion to pre-teach math terms to multilingual students, an action that prefences memorization over meaning making. Though well intended, this approach limits opportunities for students to engage in sense making of the mathematical concepts and relationships they are studying. There is a better and more equitable way! This article shares four pedalogical choices that foster student success in the math classroom while positioning multilingual learners as leaders.
What does it mean to “wish mathematical knowledge” into your students? If reading the title of this article makes you pause, you might be doing it. Take the quiz to find out!
Infusing practices from the business of instructional technology with Accountable Talk® features provides a light that can guide the planning of technology-based instruction, helping educators navigate challenges in order to enrich remote learning.
® Accountable Talk is a registered trademark of the University of Pittsburgh.
Students are more engaged when they see themselves in the books they read. IFL partner, Syracuse City Schools, has worked to better represent all their students by expanding their multicultural libraries on a global scale.
Changing the system changes the outcomes is the premise by which one school approached reorganizing their resources to maximize mathematics interventions. This meant getting everyone on board to increase and improve mathematical understanding for all learners. This article is the second of a two-part series the explores one school’s efforts to change their system of mathematics intervention to better meet the needs of every student (and every teacher) across all tiers of instruction.
If you want the results to be different, then you must do things in a different way. For one school, this meant taking a hard look at the types of opportunities provided to students to think and reason about mathematics across tiers of instruction. They knew that wanting to increase and improve mathematical understanding for all learners, meant systemic changes related to the instructional materials, teaching practices, and school scheduling. It also meant that everyone had to be on board! This article is the first of a two-part series that explores one school’s efforts to change their system of mathematics intervention to better meet the needs of every student (and every teacher) across all tiers of instruction.
Working with numbers and mathematical representations! Read about the success that one of our partners is seeing in the land down under.
While there has been a tremendous amount of schooling loss, students maintain unique funds of knowledge valuable to math classrooms. This article looks at three practices that work in combination to foster safe, student-centered learning environments as students return to school having unique and varied lived experiences.
Have you ever left a classroom discussion and cannot remember what questions you asked? To reflect on practice and consequently to know what to continue and what to modify, teachers need evidence and data of their own facilitation of discussions. Talkmoves, an app that processes Accountable Talk® (AT) math classroom discussion and feeds back the data (typically in about an hour) can support teachers with enhancing their practice!
Creativity in mathematics abounds at the intersection of belief and practice! When the belief that all learners are doers of mathematics and enter the classroom with valuable lived math experiences intersects with the use of a lesson routine that offers space for students to do the thinking, learners become the creators and authors of the material from which they learn.
The IFL is partnering with Texas districts Canutillo Independent School District, Fabens Independent School District, and Tornillo Independent School District to work on high-level teaching and learning in middle school math! Read on to see how we are working together to do an asset analysis and equity audit of math instruction, an approach where everyone’s voice is heard!
“If you cannot read the word problem, you cannot do the math.” This statement is false on many levels! Students who are receiving math instruction in a language other than their native language are doers of mathematics! And as teachers, it is our job to utilize specific strategies that allow every student in each of our classrooms to engage in thinking deeply about the mathematics. In this article we share four strategies for math teachers to use when working with multilingual students who are working on their English skills while also learning math.
Coinciding with the one-year anniversary of COVID shutting down classrooms across the country, Warner Arts Magnet Elementary in Nashville shares the trials and tribulations they faced, what kept them motivated, and how the IFL work has been a “life-changing” experience that played a key role in providing a quality education.
An understanding of number, specifically the idea of sets of quantities of things, begins in infancy and develops long before formal schooling. So…
• What does mathematical thinking and reasoning look like in infants?
• How do thinking and reasoning change after infancy?
• How might parents/families/caregivers influence the development of children’s mathematical thinking and reasoning?
• What are some things that adults can do to support children’s mathematical development?
Check out our interview with Dr. Melissa Libertus, Associate Professor, University of Pittsburgh Department of Psychology and Research Scientist, Learning Research & Development Center, who sat down with us to share her research and provide answers to these questions and so much more.
As the need for virtual instruction continues, educators continue to look for ways to make mathematics instruction more equitable and honor students’ abilities and backgrounds. In this article, we examine three teaching practices that work in virtual spaces and offer six strategies for keeping every student invested and advancing in their conceptual understanding.
A story about the art of teaching and the process of translating and refining practice to ensure rigorous learning opportunities for students through collaboration and productive talk.
Before becoming building principals, we were instructional coaches, each of us having coached either mathematics or ELA. Instruction was always the focus of our coaching work. After several years as principals, we realized that though supporting teaching and learning was a component of our work, it was no longer the focus. Once we came to that realization, we knew that we needed to make some changes.
Getting students to think deeper about the content takes intentional choices and instructional moves on the part of teachers and administrators. One of our partners, Butler Area School District in western Pennsylvania, has worked this year to increase the academic rigor in their mathematics classrooms.
The Guilford Public Schools’ vision is that of a professional learning community where instruction invites effort and supports academic rigor for all students and educators. To that end, our daily work in classrooms is rooted in and supported by the Principles of Learning (POLs).
Criteria charts that spur students to engage with the content matter actively are more likely to align with the Principles of Learning, so analyzing the criteria is critical. We have to consider if the combination of expectations results in active engagement with mathematical ideas that leads to deep understanding or simple compliance of learned procedures and rules.
When teachers are working to acquire new instructional practices, particularly ambitious reforms, teachers tend to gravitate toward approaches that are congruent with their prior practices, or they focus on discrete activities, materials, or classroom organization (Spillane, 2009).
Almost every school out there has tried to implement some sort of professional learning community, or PLC. Many of those schools started PLCs with the right intentions and provided time for PLCs to meet regularly to work collaboratively with the goal of increasing academic performance of students.
Propel Pitcairn, one of the Institute for Learning’s newest partners, went through the process of an organization-wide curriculum adoption for both math and English language arts last year. As a result, the teachers will now be regularly using high-level tasks, which dovetails with the network’s vision that students will do the thinking.
Accountable Talk® discussions are discussions that promote learning. They are discussions that have evidence of accountability to the learning community, accurate knowledge, and rigorous thinking.
“It definitely makes my heart smile when I hear a teacher say, ‘I just stopped what I was doing because the student knew more than I did and just took over!’ or ‘I began to feel frustrated because we were not able to work through the content the way that I originally planned, but I learned so much about what they know and have experienced by re-framing some of my questioning and allowing them to create the questions too.
Conferring with teachers in advance of observing a lesson is a critical component of the Content-Focused Coaching® (CFC) cycle. These “pre-conferences” are opportunities for the coach and the teacher to reflect together about a teacher’s lesson plan, and thus are a rich opportunity for teacher learning. Lesson planning is specifically important for facilitating rigorous Accountable Talk® classroom discussions.
Many educators name student agency as something they want to work to develop within their schools and classrooms. But what is student agency? And, more importantly, what can we as educators do to foster student agency?
In her article “Framing Equity: Helping Students ‘Play the Game’ and ‘Change the Game’” (2009), Rochelle Gutiérrez lays out the four key dimensions of equity: Access, Achievement, Identity, and Power, which sit on two axes. Access and Achievement create the dominant axis, and Identify and Power create the critical axis.
There is no shortage of professional development (PD) available to teachers, but PD alone is rarely enough to result in a change of practice.
What does it mean to differentiate instruction to meet the needs of every learner in a mathematics classroom? Giving different students different tasks does not yield a common learning experience; therefore, the availability of holding rich mathematical conversations with the whole class is lacking.
When a district successfully shifts their trajectory of students’ performance, many people ask how they did it. New Brunswick Public Schools’ use of strategic decision-making, grounded in improvement science principles, and greater collaboration across role groups resulted in impressive gains in mathematics scores across the district.
Designing for academic rigor in a thinking classroom starts with the choice of task with which students will engage. Likewise when striving to improve student achievement, we ask our school partners to begin by analyzing the tasks students experience. If we want students to truly understand mathematics, as opposed to a series of tricks, sayings, and acronyms, then we have to ensure they have a regular diet of high-level tasks that require thinking and reasoning about mathematics.
Recently, the Institute for Learning was selected to bring its expertise and extensive experience with instructional coaching to mathematics educators in the state of Tennessee. More specifically, IFL provided instruction around coaching moves that support high-quality teaching, resulting in improved student learning.
Recently, the Institute for Learning was selected to bring its expertise and extensive experience with instructional coaching to mathematics educators in the state of Tennessee. More specifically, IFL provided instruction around coaching moves that support high-quality teaching, resulting in improved student learning.
Through a three-year Institute of Education Sciences (IES) grant with the TN Department of Education, the Institute for Learning (IFL) and researchers at the Learning Research and Development Center explored and studied coaching in mathematics.
Humans are problem solvers by nature, and educators are no exception. Whether we are working to improve student comprehension, or striving to improve low math scores, once a problem has surfaced, we often rush to find solutions – to our detriment. Trying to fix a problem before we know its true cause is a problem in and of itself.