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While playing Monopoly with my 5-year-old, I gave him a $100 bill to pay $12 in rent. He wasn’t exactly happy, but he figured out that he owed me $88 and then figured out how to make that amount with the available bills. Several years later, while walking through the forest, my 7-year-old daughter looked down at her feet and said, “I wonder how many steps I’ve taken in my life.” After a few silent shouts of joy upon hearing her curiosity, I replied, “What a great question. How would you figure that out?” Fast forward to a few days ago, my 10-year-old son was grocery shopping with me. “Can we buy this bag of pistachios?” “We don’t need pistachios,” was my reply. “Ple-e-e-ease?” accompanied by puppy dog eyes. “Okay, but get the small bag.” “The big bag is a better buy,” he replied, “because, look, this one is 8 ounces for $6, but the bigger one is twice as big for only $9, which is less than twice the price.” We went home with a big bag of pistachios.
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With the abundance and depth of knowledge gaps created over the pandemic years, many educators are turning to new curricular resources to help meet students’ diverse needs. However, there is much to consider before choosing a resource. Per the company Education Elements, “Curriculum selection is no longer about textbook adoptions that happen every few years. Districts today are developing a strategy for instructional materials adoption and selection that takes into account district goals, pedagogical shifts, cultural relevance, and student-centered environments.” But before jumping into something new, let’s take a step back, and consider these four steps to help guide our curriculum decisions, focusing on mathematics resources.
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Do your students seem less enthusiastic about working in math groups or communicating their ideas and thoughts in class? If so, you are not alone. Teachers with whom we work are observing a decline in students’ skills to work together and express their thoughts. What has been the impact of the COVID-19 pandemic on students’ discourse? A great deal has been written about the impact of the pandemic on student learning, standardized assessment results, and students’ social skills (Mervosh & Wu, 2022, Associated Press, 2022, Campbell, 2021). However, little has been written about how students’ ability to communicate their mathematical understandings has been impacted. Anecdotal evidence suggests that the COVID-19 pandemic has impacted students’ abilities to develop mathematical discourse with their peers and communicate their mathematical understandings. This post will provide explicit structures and routines that can be used in classrooms to develop students’ ability to engage in productive mathematical discourse.
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“When am I ever going to use this?” We, the authors, have been talking about math education since we met eight years ago, and trust us, this is not an easy question to field. Teachers can’t really predict which mathematics problems a student will face, so the quick answer has become, “In the future you’ll come across a problem and “presto” you will see the relevance of this bit of information.” In all fairness, while this is a time-saving response for the teacher, it does not address the real issue, which is “Why does the American student ask this question in the first place?”
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Everything I had thought about coaching in education changed when I read the article “Personal Best” by Atul Gawande several years ago. In the article, we learn that eight years into his surgical career, the author felt his surgical skills had plateaued as compared to the steady upward growth he experienced during the initial launch into his professional work. And so he asked a former instructor to observe him during surgical procedures and serve as a coach. He shared that the first procedure he did while being observed went incredibly smoothly. Or so he thought. His coach provided two pages of “small things” that, from his coach’s vantage point, affected his work in ways that offered opportunities for improvement. The coach pointed out that shifting his arm or foot position could offer greater stability while working. He noticed how the surgical light moved during the procedure, thus changing the amount of direct light shining on the wound. These “outside eyes,” as Gawande described it, along with several months of continued observations and follow-up conversations, offered Gawande the chance to get better at his job.
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Think of a situation where you felt you belonged. What was that like? What made that happen for you? Consider a time when you sensed that you didn’t belong. How did you feel? What made you uncomfortable? And what do these questions have to do with teaching and learning mathematics? You will find out in this blog.
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During the last two years of our classroom teaching, a lot of what we knew to be true about teaching and learning shifted. Despite all the professional learning, schooling, and teaching experience we had, it hadn’t prepared us for what we continue to face as we work to reacclimate ourselves and our students to a “normal” classroom setting. Facilitating learning is no longer as straightforward as it once was; referring to a curriculum for guidance no longer applies at times because we’re doing more than just designing or teaching units of study that meet particular standards. We’re also being asked to address unfinished learning and to prioritize social and emotional learning (SEL) while ensuring we provide every student access to those grade-level standards.
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I can tell you my first driver’s license number, many of my former and current credit card numbers, the name of my first crush in elementary school, and the secret recipe for our family’s favorite pancakes. That information, encoded long ago, can come to mind with ease. But when I get myself ready to walk out the door to run errands, I’ll find myself standing in a room not knowing what I came in there to do or, once in the car, realizing I left the overdue library books sitting next to the front door. This is my working memory playing tricks on me.
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Removing barriers to learning is fundamental to our work as educators. One way to do this is to approach lesson design through a multidisciplinary lens, taking natural advantage of the variety of skills, dispositions, and individual levels of interests inherent in each one. Planning lessons, units or courses specifically from a STEAM (science, technology, engineering, the arts, and math) approach can open up learning experiences to a range of learners because of both content-driven intersection points and the interdisciplinary impetus for inquiry and investigation.
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Imagine two classrooms. In the first, a general education teacher and a special education teacher work separately. The general education teacher takes the lead on instruction and the special education teacher assists and provides additional support, focusing primarily on students with an Individualized Educational Plan (IEP). Communication between the teachers revolves around logistics such as time management. There is little common planning time; each teacher plans independently for their specific students.
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