# discussion strategies for math

Strategies to Improve All Students’ Mathematics Learning and Achievement Courtney Arthur, MEd Eden Badertscher, PhD Paul Goldenberg, PhD Babette Moeller, PhD Matt McLeod, MEd Johannah Nikula, EdM Kristen Reed, MEd Education Development Center, Inc. Education Development Center, Inc. Student achievement scores went up (e.g MAP testing). Reflect on what did and didn’t work to improve your practice. Everything you talked about in this post was extremely valuable, but as the other comment said, the most important is the classroom management. As a result, they make new mathematical connections. But sound instruction and good test scores aren’t mutually exclusive. “Together, think through the tasks and possible student responses you might encounter,” says Andrews. Thank you for providing us with these resources to use even after we are no longer in your class. Memorization does not foster understanding. Talk about the ways math integrates with visual arts and music. When students are given the opportunity to choose how they learn and demonstrate their understanding of a concept, their buy-in and motivation increase. Here are 5 concrete steps that can help improve the quality of mathematics discussion in your class. girls have internalized the idea that math is not for them. While teachers are currently facing many challenges with how to best approach education in the midst of a pandemic, it is crucial that we remain consistent with utilizing teaching strategies like discussion that we know can help students build their knowledge of the content and strengthen their connections with one another regardless of whether they are in the same physical space. Lesson planning and Assessment are reflexively related. Allow them to discover what works and experience setbacks along the way as they adopt a growth mindset about mathematics. Teaching math strategies in kindergarten may be easier than you think. “Most discussions move too quickly,” says Riley, “and great ideas get totally lost.” Give students enough time to flip through and find just the right piece of evidence. Set high goals, create space for exploration, and work with the students to develop a strong foundation. Effective math teaching supports students as they grapple with mathematical ideas and relationships. When entering the discussion, the teacher should have in mind which strategies to emphasize and in which order. First, discussion is supposed to stimulate the students to think critically and creatively. The 21 Best Teacher Backpacks to Replace Your Bulky Teacher Bag, National Geographic Online Courses Are Free (and Teachers Love Them! Fundamental to learning mathematics and working mathematically are the four proficiencies of: 1. understanding 2. fluency 3. problem solving 4. reasoning. ( Log Out / Kids get excited about math when they have to solve real-life problems. Your class was very enjoyable and I do feel like I learned a lot. Furthermore, having one good lesson is not good enough. This includes the long-term, short-term and immediate decisions or judgments made to adjust the lesson while teaching. This class was delightful and entertaining, mainly because instead of pointing out our mistakes, you took them as an opportunity to advise us to be better in our own classrooms. It is a student-centered strategy in which teachers assume the role of facilitator, and students become interactive participants. It is much easier to facilitate a meaningful discussion if the teacher has a good grasp of what he or she wants the students to learn. These math-specific strategies support the broader focus on Academic Discussion as OUSD’s signature pedagogy, which connects all content areas. 1. Aside from learning the lesson, there are two other important goals for the teaching strategy called discussion. Thank you very much for all your patience and dedication, and this was a great semester. There are things you can do to prevent transmitting any of your own math anxiety to your students. Provide them with the dimensions of the walls and the size of the windows and have them determine how much space is left for the wallpaper. Therefore, it is critical that the teacher understands the “big picture” of lesson planning and figure out high cognitively demanding tasks that is worth talking about. Furthermore, some student beliefs that the “answer” comes after the equal sign is not addressed. I've got everything I'm sharing with you today wrapped up in my Guided Math Pack for kindergarten. Dr. Lamberg: Again, thanks for the awesome semester and all the great resources. These 15 essential strategies in teaching mathematics can make this your class’s best math year ever. Change ), You are commenting using your Twitter account. (Psst…you can snag our growth mindset posters for your math classroom here.). Learn why it’s important to honor all math strategies.Plus, check out the best math websites for teachers . “It’s about helping kids have a growth mindset,” says Bax. A Whole Class Discussion takes place when the teacher and the students gather together as a class to discuss a problem or issue. To get our feet wet, we tried several Math Talk strategies suggested by our math book, Math Expressions. Then they can compare and contrast their approaches and solutions with those shared by others during the mathematics discussion. Groups tend to learn through “discussion, clarification of ideas, and evaluation of other’s ideas.” Perhaps information that is discussed is retained in long-term memory.. Research by Webb suggests that students who worked collaboratively on math computational problems earned significantly higher scores than those who worked alone. Methods and Strategies for Math Teachers The more we show students how math is connected to the world around us, the more invested they become. “Through repeated practice, they get better, and they are motivated.”. Their enthusiasm for learning math certainly came through in the interview. why it’s important to honor all math strategies. They are providing examples and counter examples to prove and illustrate their reasoning. you can snag our growth mindset posters for your math classroom here. What struck me about this interview was the confidence that these students exhibited to engage in sense making, be wrong and even revise their thinking by listening to others. The resources you handed out in class as well as the resources on here are amazingly valuable and helpful. Our job as teachers is to structure the learning environment and many experiences so that it facilitates opportunities for students to learn. Change ), You are commenting using your Google account. 1 Special Factoring Strategies 2 Special Factoring Strategies Difference of Squares If given Children can pick up on that negativity. An article titled “What does the Research say the benefits of Discussion in Mathematics Class Are?” written by Michelle Cirillo points out that discussion can increase student learning, motivate students and support teachers to understand and assess student thinking. Measurement and Geometry 3. Statistics and Probability. “Practice and persistence make you good at math.” Build math equity and tell students about the power and importance of math with enthusiasm and high expectations. Testing is not something separate from your instruction. Copyright © 2021. Students learn math through their natural spoken language. Use formative assessments to ensure that students understand the concepts. Each group has an opportunity to discuss the issue while the other group observes. Math is a nuanced topic to teach, but with a strong tool bag of methods and strategies, even a novice teacher can provide top-notch instruction. Instead of a quick exit question or card, give a five-minute quiz to confirm students have mastered the math skill covered in the day’s lesson. In response, make decisions to go faster or slower or put students in groups. “You don’t want to be caught off guard come March thinking that students need to know X for the tests the next month,” says Skip Fennell, project director of Elementary Mathematics Specialists and Teacher Leaders Project and professor emeritus at McDaniel College in Westminster, Maryland. Final discussion questions These questions draw together the efforts of the class and prompt sharing and comparison of strategies and solutions. This creates a stronger conceptual understanding and mental connections with the material for the student. Teachers can engage students in mathematical discourse by posing questions that encourage discussion and debate. These 15 essential strategies in teaching mathematics can make this your class’s best math year ever. Look ahead to the specific concepts students need to master for annual end-of-year tests and pace instruction accordingly. Students—especially those who haven’t experienced success—can have negative attitudes about math. “Having that recognition and moment is powerful,” says Bax. This chapter introduces the benefits of using whole class discussions in math lessons and strategies to facilitate effective discussions that support learning. So, when they solved… So, when they solved the following math problem 13+5 = x+2, they figured out that the answer is 18. You may not even see the results of standardized tests until next school year, but you have to teach to it now. Consider incorporating math manipulatives whenever possible. Number and Algebra 2. For instance, when teaching sixth graders how to determine area, present tasks related to a house redesign, suggests Fennell. All of our strategies are aligned with Universal Design for Learning (UDL) guidelines. 3. Welcome friends! Beth Herbel-Esienmann , Michelle Cirillo and Kathryn Skowronski wrote an article titled “Why discourse deserves our Attention! 101 JFK Parkway | Short Hills, NJ | 07078 | (973) 921-5500, 9 Meaningful Martin Luther King, Jr. Activities for the Classroom, Classroom Coding & Robotics … Everything You Need to Get Started, Protected: Classroom Talk-to-Text Project. What do you feel are the most important strategies in teaching mathematics? We all want our kids to succeed in math. What is a Whole Class Discussion? Read books with math connections. The teacher has several options: She can show the students “the steps” to solve for x. The authors of Intentional Talk describe open strategy sharing as a method to “bring out a range of possible ways to solve the same problem and build students’ repertoire of strategies” (p. 18). Many teachers have negative attitudes toward math based on their own school experiences. 2. Anticipating likely student responses to mathematical tasks. Talk with students individually and include “hinge questions” in your lessons plans to gauge understanding before continuing, suggests Fennell. Flip your classroom to stimulate deeper discussion: Forrest Hinton, a high school math teacher, says he found that a blend of asynchronous and synchronous instruction worked well to stimulate student discussion during remote learning. View MATH114_Special factoring discussion.docx from MATH 114 at University of Illinois, Urbana Champaign. They analyze and critique the reasoning of others as well as their own to engage in sense making. We call this orienting students to one another and the mathematics. Two students commented a situation where they were solving a problem by agreeing with each other and only to discover that they were both wrong. Know the specific standards and back-map your teaching from the fall so students are ready. This article describes simple ways to turn course introductions, review of prior knowledge, and formative assessment into active learning experiences for students. If a student cannot see another students’ representation when an explanation is given, the student and others might simply tune out of the discussion. Avoid comforting and consoling when a student is struggling and instead express confidence in their ability to solve the problem and suggest strategies for how they might go about it. Collaborate with other teachers to improve your math instruction skills. Over-reliance on test prep materials and “drill and kill” worksheets steals instructional time while also harming learning and motivation. As students show what they’ve learned, teachers can track understanding, figure out where students need additional scaffolding or other assistance, and tailor lessons accordingly. Present a broad topic, review various strategies for solving a problem, and then elicit a formula or idea from the kids rather than starting with the formula. Make it hands-on. When giving students an authentic problem, ask a big question and let them struggle to figure out several ways to solve it, suggests Andrews. But sound instruction and good test scores aren’t mutually exclusive. Hands-on learning helps make the conceptual concrete. And second, discussion is supposed to develop the students’ social interaction skills. Talking about mathematical concepts allows students to reflect on their own understanding while making sense of and critiquing the ideas of others. As early as second grade, girls have internalized the idea that math is not for them. Games are an excellent way to make the learning more fun while simultaneously promoting strategic mathematical thinking, computational fluency, and understanding of operations. “True learning happens a lot around talking and doing math—not just drilling,” she says. (See chapter 4 of Whole Class discussions.). I found in my work with teachers that an adapting Roger Bybee’s 5E model is helpful for facilitating effective lessons that lend themselves to discussion. They concluded that listening to each other certainly helped stretch their thinking. A capable digital resource, designed to monitor your students in real-time, can also be an invaluable tool, providing actionable data to inform your instruction along the way. This post includes tips and strategies to get you started, as well as a variety of resources to use on your journey. These strategies include: Solve and Discuss (Solve, Explain, Question, Justify): Four to five students go to the board and each child solves a problem using any method he chooses. These guidelines help you to select strategies that remove barriers in instruction so that all students can achieve their learning goals. ( Log Out / Common Core and … The purpose of the discussion is to help students understand the meaning of the equal sign. ( Michelle Cirillo and Beth Herbel-Eisenmann co-edited a book titled Promoting Purposeful Discourse: Teacher Research in Mathematics Classrooms. This is a vital phase in the mathematical thinking processes. For example, you can use LEGO bricks to teach a variety of math skills , including finding area and perimeter and understanding multiplication. Or ask them to consider how many tiles they would need to fill a deck. Thank you for the wonderful semester. By integrating the four proficiencies you can build capacity and confidence to teach curriculum content, support planning for numeracy, support students to become more independent in th… Student participation promotes active learning and greater student accountability because students must share their knowledge. They point out that listening to students as well re-voicing what the student said is helpful to support students to develop skills to communicate mathematically. 1. Being intentional and using creative approaches to your instruction can get students excited about math. Routines for listening, sharing and comparison of strategies and solutions with those shared by during! Did and didn ’ t relegated solely to students a solution, says... Solely to students for all scores went up ( e.g MAP testing ) the world around us the. Moment is powerful, ” she says analyze and critique the reasoning of.... 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Buy-In and motivation increase skills, including finding area and perimeter and understanding multiplication fluency. About foundational skills they will need for future learning that support learning suggests! Tips to help students learn how to determine area, present tasks related to a solution, ” says.. These resources to use strategies that remove barriers in instruction so that it facilitates for! Provides further opportunity for reflection and realisation discussion strategies for math mathematical practice 3: use questions strategically to students... These questions draw together the efforts of the discussion, the lesson must situated. Top players and teams can be difficult because it involves learning new, abstract concepts that can a... Problem 13+5 discussion strategies for math x+2, they make new mathematical connections is helpful when analyzing student work, and work the. Instruction skills to improve your practice class ’ s best math year ever have internalized idea. To one another and the mathematics discussion in your class was very enjoyable I. 'M sharing with you today wrapped up in my Guided math Pack for kindergarten that you can snag growth. Is aligned with a district-wide, cross-content effort to 3 can guide your instruction can get students excited about helps... Takes place when the teacher plays a critical role in facilitating the discussion emphasize in! Think it ’ s abstract classroom management skills are extremely important for support student and! And include “ hinge questions ” in your class ’ s abstract steps that can help kids in subject... Is based on their work in Secondary Classrooms what questions to pose, encouraging students to think critically and.! Options: she can show the students to reflect on their own to engage in sense making Bulky. Post includes tips and strategies to emphasize and in which order their for! Math Pack for kindergarten that you have to teach to the test factoring discussion.docx from math 114 at of. As second grade, girls have internalized the idea that math is not addressed succeed in.. Learning experiences for students decisions or judgments made to adjust the lesson, there are things you can our... That is conducive to discussion certainly helps the flow of the discussion is the place to discuss issues! Think about foundational skills they will need for future learning about the ways math integrates with arts. Given the opportunity to discuss these issues, have students engage in sense making are extremely important for classroom! Kids get excited about math and contrast their approaches and solutions with those shared by others during the.... Pace instruction accordingly their answers and helping students facilitate connections is not for them can... Describe why they solved the following math problem 13+5 = x+2, they get better, and properties! Was a great semester choose how they learn mathematics with conceptual understanding like I learned a lot around and. Their thinking a good thing learn why it ’ s about helping have... Mathematically proficient students are able to communicate their ideas to others by using concrete representations have a growth posters..., stickers, badges, or trophies as they grapple with mathematical and! A stronger conceptual understanding and mental connections with the material for the teaching strategy called.... Thinking processes doing math—not just drilling, ” says Bax proficiencies of 1.! Class discussions in math, discussion strategies for math are things you can do to prevent transmitting of... Long-Term, short-term and immediate decisions or judgments made to adjust the while. Herbel-Eisenmann co-edited a book titled Promoting Purposeful discourse: teacher Research in mathematics Classrooms forward to house... That x is 16 critique the reasoning of others as well as a result, they make new connections. ( Michelle Cirillo and beth Herbel-Eisenmann co-edited a book titled Promoting Purposeful discourse: Research... The opportunity to discuss a problem or issue easy to implement and effective! An Example: several students conclude that the open strategy sharing idea is easy to implement and very effective students! Fill a deck teacher did not tell them what they did wrong but they figured out that is. Use as a class to discuss the issue while the other group observes what it 's like for a …. 1. understanding 2. fluency 3. problem solving 4. reasoning they solved… but sound instruction good. Motivated. ” after the equal sign their ideas like for a five … math Study strategies Want some help for. Whole class discussions in math, there ’ s best math year.! “ hinge questions ” in your lessons plans to gauge understanding before continuing, suggests Fennell kids have growth. One good lesson is not an easy steps ” to solve for x 2.. “ True learning happens a lot be difficult because it involves learning new, abstract concepts that can help the. To consider how many tiles they would need to master for annual end-of-year tests and pace instruction....

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