Rounding Up

The Math Learning Center

Welcome to "Rounding Up" with the Math Learning Center. These conversations focus on topics that are important to Bridges teachers, administrators and anyone interested in Bridges in Mathematics. Hosted by Mike Wallus, VP of Educator Support at MLC.

  1. ٣٠ يوليو

    [From the Archives] Making Sense of Fractions with Susan Empson, PhD

    Making Sense of Fractions with Susan Empson, PhD ROUNDING UP: SEASON 4 | EPISODE 23 For quite a few adults, fractions were a stumbling block in their education, causing them to lose their footing and begin to doubt their ability to make sense of math. But this doesn't have to be the case for our students! In this rerelease of an episode from Season 2, we're talking with Susan Empson, PhD, about big ideas in fractions and how we can make them more meaningful for our students. BIOGRAPHY Susan B. Empson is an emerita professor in the department of Learning, Teaching, and Curriculum at the University of Missouri. She and Vicki Jacobs are currently collaborating on a National Science Foundation research grant to study elementary teachers' learning and development centered on teaching in ways that are responsive to children's mathematical thinking in the domain of rational numbers. Her research on children's thinking about fractions is the topic of her 2011 book, Extending Children's Mathematics: Fractions and Decimals (with co-author Linda Levi), and she has published widely in refereed journals, including Cognition and Instruction, Journal for Research in Mathematics Education, Educational Studies in Mathematics, Teaching Children Mathematics, and Journal of Mathematics Teacher Education. She has been a researcher of Cognitively Guided Instruction since 1989 and is a co-author of Children's Mathematics: Cognitively Guided Instruction (1st and 2nd editions).  RESOURCES Extending Children's Mathematics: Fractions and Decimals book by Susan B. Empson and Linda Levi Mathematics Teacher: Learning and Teaching PK-12 journal articles authored and co-authored by Susan Empson TRANSCRIPT Click here for a full episode transcript.

  2. ١٨ يونيو

    [From the Archives] Practical Ways to Build a Strengths-Based Math Classroom with Dr. Beth Kobett

    Practical Ways to Build a Strengths-Based Elementary Math Classroom with Dr. Beth Kobett ROUNDING UP: SEASON 4 | EPISODE 20 What if it were possible to capture all of the words teachers said or thought about students and put them in word clouds that hovered over each student throughout the day? What impact might the words in the cloud have on the student's learning experience? These are the questions that Beth Kobett and Karen Karp pose to start their book about strength-based teaching and learning. In this re-release of an episode from Season 2, we talk with Beth Kobett about practices that support strength-based teaching and learning, and ways educators can implement them in their classrooms. BIOGRAPHY Beth McCord Kobett, EdD, is the dean of the School of Education at Stevenson University, where she works with preservice teachers and leads professional learning efforts in mathematics education both regionally and nationally. She is a former classroom teacher, elementary mathematics specialist, adjunct professor, and university supervisor. She is also a former president of the Association of Maryland Mathematics Teacher Educators (AMMTE) and former chair of the Professional Development Services Committee of the National Council of Teachers of Mathematics (NCTM). Dr. Kobett is a recipient of the Mathematics Educator of the Year Award from the Maryland Council of Teachers of Mathematics (MCTM). She has also received Stevenson University's Excellence in Teaching Award as both an adjunct and full-time member of the Stevenson faculty. RESOURCES Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K-6 book by Beth McCord Kobett and Karen S. Karp Rough Draft Math: Revising to Learn book by Amanda Jansen TODOS: Mathematics for All organization TRANSCRIPT Click here for a full episode transcript.

  3. ٤ يونيو

    [From the Archives] Posing Purposeful Questions with Dr. DeAnn Huinker

    Posing Purposeful Questions with Dr. DeAnn Huinker ROUNDING UP: SEASON 4 | EPISODE 19 Educational theorist Charles De Garmo once said, "To question well is to teach well. In the skillful use of the question, more than anything else, lies the fine art of teaching."  In this re-release of an episode from Season 1, our guest is Dr. DeAnn Huinker, one of the coauthors of Taking Action: Implementing Effective Mathematics Teaching Practices in Grades K-5. We'll talk with DeAnn about the art and the science of questioning and ways that teachers can maximize the impact of their questions on student learning. BIOGRAPHY Dr. DeAnn Huinker is a professor of mathematics education in the division for teaching and learning and directs the Center for Mathematics and Science Education Research at University of Wisconsin–Milwaukee. Dr. Huinker teaches courses in mathematics education at the early childhood, elementary, and middle school levels. RESOURCES Principles to Actions: Ensuring Mathematical Success for All book by National Council of Teachers of Mathematics  Taking Action book series by National Council of Teachers of Mathematics 5 Practices for Orchestrating Productive Mathematics Discussions book by Margaret (Peg) Smith and Mary Kay Stein "Asking Questions in First-Grade Mathematics Classes: Potential Influences on Mathematical Thought" journal article by Michelle Perry and colleagues "Teaching is a Cultural Activity" journal article by James W. Stigler and James Hieber TRANSCRIPT Click here for a full episode transcript.

  4. ٢١ مايو

    [From the Archives] Productive Ways to Build Fluency with Basic Facts with Dr. Jenny Bay-Williams

    Productive Ways to Build Fluency with Basic Facts with Dr. Jenny Bay-Williams ROUNDING UP: SEASON 4 | EPISODE 18 This summer we're replaying favorite listener episodes from the first four seasons of Rounding Up—like this one from Season 1. We'll return with all new episodes in early September. Ensuring students master their basic facts remains a shared goal among parents and educators. That said, many educators wonder what should replace the memorization drills that cause so much harm to their students' math identities. Today on the podcast, Jenny Bay-Williams talks about how to meet that goal and shares a set of productive practices that also support student reasoning and sensemaking.  BIOGRAPHY Jennifer Bay-Williams is a professor of mathematics education at the University of Louisville. She has authored over 40 books and 100 journal articles and book chapters that focus on making mathematics meaningful to all students. She is an international leader in the field of mathematics education, frequently speaking at state, national, and international conferences and serving on national boards.  RESOURCES "Eight Unproductive Practices in Developing Fact Fluency" article by Gina Kling and Jennifer M. Bay-Williams Math Fact Fluency: 60+ Games and Assessment Tools to Support Learning and Retention book by Jennifer M. Bay-Williams and Gina Kling Math Fact Fluency companion website by Kentucky Center for Mathematics TRANSCRIPT Click here for a full episode transcript.

  5. ٧ مايو

    Supporting Multilingual Learners During Number Talks with Jana Dean & Heather Byington

    ROUNDING UP: Supporting Multilingual Learners During Number Talks with Jana Dean & Heather Byington What might it be like to engage in a number talk as a multilingual learner? How would you communicate your ideas, and what scaffolds might support your participation?  Today, we're talking with Jana Dean and Heather Byington about ways educators can support multilingual learners' engagement and participation during number talks.  BIOGRAPHIES Heather Byington has taught all grade levels over the span of her 27-year career as a bilingual public educator. She currently teaches middle school mathematics and English language support classes in Lacey, Washington. She is also a student at Washington State University pursuing a PhD in Mathematics Education.  Jana Dean currently serves as CEO of the Mathematics Education Collaborative and supports a fantastic team of middle school math teachers in North Thurston Public Schools. Her research focuses on the intersection of content learning and language learning.  RESOURCES Number Talks and Multilingual Learners article from Mathematics Education Collaborative by Jana Dean Judit Moschkovich research  Math Between Us blog "Number Talks: A Whole Class Routine for Learning Language for Learning Mathematics" article  Mathematics Education Collaborative website  jdean@mec-math.org Jana Dean email TRANSCRIPT Mike Wallus: Welcome to the podcast, Jana and Heather. I am so excited to be talking with you both today. Jana Dean: Good morning. Yeah, thanks for having us.  Heather Byington: Thanks so much for having us.  Mike: Absolutely.  Jana, before we begin talking about the ways that teachers can support multilingual learners during number talks, I wonder if you can offer a working definition that would help educators visualize what a number talk actually looks like. Jana: Yeah, I'd be happy to do that. A number talk in terms of how we worked with the routine in this project consisted of the teacher providing some sort of visual prompt, starting either with a visual pattern of dots or a computation problem. And then the students get wait time, time to think about how they might solve that problem. And then as they share their strategies, the teacher records and asks them questions about their reasoning for why they approached the problem in the way that they approached it. The teacher creates what I like to think of as a visual mediator of student ideas. So the students' ideas become visible as they share them. So children who are listening can listen to the dialog or conversation between the person sharing and the teacher, but the ideas actually become visible as they're being shared. And the teacher always verifies with the student whether or not they've been understood. And the goal is not for the student to be right, but for the teacher and student to understand each other.  Mike: That's really helpful. Heather, is there anything else you'd add to that?  Heather: In terms of the way that we worked with it with multilingual learners and increasing their opportunities for engagement in the routine, we always gave them an option of talking to a partner and rehearsing their answer before they volunteered to share with the whole group. We prioritized calling on multilingual learners if they volunteered. And we also did a final reflection at the end. So those were some enhancements that we added onto the routine.  Mike: I think that's really helpful and I'm excited to talk a little bit more about the details of those, Heather.  One of the things that really struck me as we were preparing for this conversation was reading about the ways that some of the multilingual learners you worked with, how they described their experience during number talks. And it helped me to see the experience from their perspective and rethink some of the ways that I'd facilitated number talks in the past. And I'm wondering if you could share a bit about some of the feelings students told you that they were experiencing.  Jana: Yeah. One of the things we suspected before we started was that as a language learner myself, talking about ideas that you're just forming in a language you're in the process of learning can be really intimidating. It's very challenging. So they were nervous. And when I interviewed fourth graders about their experience in number talks, even facilitated with language acquisition in mind, they talked about how much courage it took them to share their ideas.  They also talked about and could very keenly remember moments when they had made a contribution that their teacher made use of or a time when they made a contribution that another student made use of later. So there was a lot of pride they felt in having shared their ideas once they found ways to do that.  They also talked about how much easier it was to share our ideas than it was to share my idea. And so if, for instance, we had given them the opportunity—and like Heather said, we almost always gave them the opportunity to talk with a partner—they would often share using the pronoun "we." "This is how we thought of it." And we picked up on that and began to ask them if it was OK to attribute a group of students with a unique idea rather than an individual. And that was also consistent with many of their home cultures. It's not every culture in which individual contributions are elevated, but rather when you dare to speak, you're definitely speaking for the group, for a collective. So that collective understanding was really important.  There was one child, and I'm really curious about how representative he was of many. He always talked to the same friend, and every time he shared, he, I'm going to say, nailed it. He really had it figured out what it was that he was going to say. And there was one particular day when he did a beautiful job sharing, and I asked him about that day and he said, "To be honest, that day I really didn't want to share, but I knew my teacher wanted to hear my idea, so I did anyway." And so there's that element of love and respect for their teacher that I think was also really motivating for them.  Heather: Yeah. Can I add something quickly to that?  So one aspect of that, I think that idea of a student sharing because it meant a lot to the teacher, we also tried to utilize individual conferring with students as much as possible and gave them opportunities to confer with us, whether it was just checking in briefly before the number talk started, encouraging them or maybe telling them, "Hey, you can share the idea with me after the number talk if that feels more comfortable to you." So it's giving them multiple opportunities to do that and encouraging them to share their thoughts.  Mike: What I appreciate about what you all are doing is even in this initial part of the conversation, really getting specific about the practices and the way that those practices played out for kids. And I think as an educator, one of the things that I've come to over all my years teaching is the need to have humility and also continue to be a learner. And that sometimes really leads me to questions about intent versus impact.  Heather, I wonder if you could talk about the parts of the number talk routine or facilitation practices that may have unintentionally provoked some of the anxiety that kids were experiencing.  Heather: So for multilingual learners, when I think about what they will need, the supports that they may need to be able to engage in a routine like a number talk, I think about first the processing time that they might need to understand and think about different ways of solving that prompt. And then I think about their understanding of the prompt. And then the other thing I think about is their ability to communicate their thoughts and ideas with others. So naturally, if it seems like there's a lot of pressure because of time, if they don't have much time, if they feel that pressure to do that processing and think of those ideas and share them quickly, that may provoke anxiety because this, of course, is still a language that they're still developing. So that ability to share with a partner and rehearse those ideas and process that with a partner, that really becomes, as Jana mentioned, more of a team effort.  And then being able to rehearse the words that they're going to use and the way they're going to convey that message and communicate it to others, that again reduces the anxiety because it's a lot less pressure to share my thoughts and ideas with one person than with a whole group. And if I share those thoughts with one person and they seem to understand what I mean, then now I might feel confident enough to share with more people. So I just think that naturally when it's a time constrained activity, that that naturally can provoke anxiety.  Mike: Yeah. I mean, that absolutely makes sense. I will say as a child who was not quick, even in my first language, the impact of that was profound, let alone trying to both process in a language that I was learning and feel like I was under pressure to produce an idea and describe it. That absolutely makes sense.  Jana: I want to back up a bit and quote something that you said, Heather, partway through our working together, which was that Heather had some familiarity with number talks before we started working together, but had a healthy skepticism as well. And at one point she said that she wondered if we might not actually be hurting students when we are facilitating a routine that they cannot find entry into. And so it became really like a guiding light or principle of our work together to work hard to help them find entry into the routine. And something that I didn't realize until a year after we began working together and I was really closely tracking the experiences of the multilingual learners themselves—and this is kind of back to your question about intent and impact—when we listen to childr

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Welcome to "Rounding Up" with the Math Learning Center. These conversations focus on topics that are important to Bridges teachers, administrators and anyone interested in Bridges in Mathematics. Hosted by Mike Wallus, VP of Educator Support at MLC.

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