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On Teaching Math Podcast
0 minutes | Jan 30, 2020
Please visit https://thebeardedmathman.com/podcast to find show notes and other episodes. E21 is about being creative and adapting the delivery of your message to students. We cannot change our standards, but can change our support and approach.
31 minutes | Jan 23, 2020
Co-Opt Peer Leadership
To change the classroom dynamics and over all performance is a tricky thing, especially after the start of the school year! Every classroom has a peer leader (often more than one). While you're the teacher, the peer leader plays a powerful role and has great influence on the educational outcomes of all students in the class, even those that do not follow that person. These leaders influence you, you must respond (good or bad), to their behaviors and actions and that has an impact on all students. https://thebeardedmathman.com/podcast/E20
21 minutes | Jan 15, 2020
Feline or Primate Pedagogy
What do you do when a group of unwilling participants struggle to perform depends largely on how you view your role. In this episode we discuss two camps of thought, and a current predicament faced in my classroom as a result of my philosophy. https://thebeardedmathman.com/podcast
20 minutes | Jan 8, 2020
E18 Policies and Procedures
What works for classroom management varies greatly from teacher to teacher. It also changes from teacher to class and from teacher to year. The point is, there are not fast and hard rules (specific ones anyway), that work for everybody, all of the time. Teaching is largely about the interplay and relationship between people. That is highly dynamic, so the structure must be flexible, yet rooted strongly in a correct philosophy, in order to be effective.
29 minutes | Dec 18, 2019
Studying, done with purpose, is the best thing outside of the classroom a student can do to improve their learning. Studying, done without purpose, is largely a waste of time. In this episode we dive into how students can discover purpose in their studying, and how you can guide students in discovering and defining that purpose. Please visit: https://thebeardedmathman.com/podcast/E17
20 minutes | Dec 11, 2019
E16 - Examining Student Work
A few excellent outcomes result from allowing student work to guide and drive discussion. First, you end up teaching students, instead of covering material. Second, you promote what needs to happen in order for learning to really occur: discussion about confusion. The third, and may most important thing that happens is that students take ownership of their learning and begin to develop the traits we desire of educated people. Please visit: https://thebeardedmathman.com/podcast/E16 for the shownotes.
23 minutes | Dec 4, 2019
E15 Over-Arching Questions
Are you about to start a unit that you know students find difficult? By starting off with an over-arching question you give students both a lens, through which to evaluate the new information, and a scale that helps them evaluate the importance of each new piece of information. An over-arching question is a question that you would hope a student could answer at the end of the unit. It's not a problem to be solved, or a technique to be used, but instead a question you may ask another math teacher about a topic. By posing such a question to students at the beginning, and then expecting them to answer it by the end of the unit, it puts students in a new role as learners. Visit: https://thebeardedmathman.com/podcast/E15 for the show notes and the resources mentioned in the podcast episode.
20 minutes | Nov 28, 2019
E14 Rational Exponents
Rational exponents, conceptually, are quite similar to multiplication by a fraction. We will explore how multiplying by a fraction asks a question about repeated addition. That will be tied into how a rational exponent asks a question about repeated multiplication. For more information and the show notes, please visit: https://thebeardedmathman.com/podcast/E14
45 minutes | Nov 20, 2019
Teaching Exponents Conceptually Part 1
In this episode we discuss how to teach exponents conceptually and in a way that encourages the development of mathematical literacy. For access to the materials described in the podcast, please visit https://thebeardedmathman.com/podcast/e13 Use promo code "exponents4free" to receive a 100% discount (FREE IS FAVORITE)!
31 minutes | Nov 13, 2019
The Best Curriculum You've Never Heard Of
Cambridge IGCSE is a fantastic college readiness program, and it is just breaking into the US market. Their mathematics curriculum, for 9th and 10th grade students, is absolutely wonderful. In this episode we discuss why it is wonderful, and what it means for you, potentially. For more information, please visit: https://thebeardedmathman.com/podcast/e12
21 minutes | Nov 6, 2019
What to do with, "I Don't Get It."
When students in a math class say, "I don't get it," they're usually throwing up a barricade, and a powerful one at that! If you just assume what it is they don't get, and dive in holding their hand, you may realize short-term results, but they still won't "Get It." In this episode we discuss ways to empower students to move past, "I don't get it," in ways that provide two avenues of resolution. The first, is they themselves will have a clearer understanding of what they don't get, and second, they can communicate it to you. Please visit: https://thebeardedmathman.com/podcast/E11 for the shownotes.
25 minutes | Oct 31, 2019
E10 Homework Part 2
When students see the value in homework they change from compliant children to willing participants taking ownership of their educations. For show notes and other information, please visit: https://thebeardedmathman.com/podcast/E10
26 minutes | Oct 24, 2019
E9: Homework Part 1
This is the first of a two-part series on homework. Ultimately, the goal is to help you convince students of the value and benefit of homework so that they will be better math students. But, before we can really drive home the expectation of homework, we need our ducks in a row, so to speak. Homework does provide students with great opportunity to learn. In fact, homework provides a unique dynamic where students can benefit from their efforts more than in class or while studying. In this episode we talk about how to design homework that takes full advantage of the dynamic homework offers to students. In episode two, after we have our end of the deal water-tight, we talk about selling the benefits of homework to students so that they really get on board. Ultimately, we want students to be excited about the opportunities of learning, not just doing homework out of compliance. This two part series puts the pieces together to make that happen. Visit: https://thebeardedmathman.com/podcast/E9
0 minutes | Oct 17, 2019
E8 - What is Mathematical Literacy
Mathematical literacy empowers students to be flexible and apply what they know in unexpected, unanticipated ways. The reason instilling mathematical literacy in students is worth the focus and effort is that students can go far beyond whatever it is we teach, or fail to, teach them. In this episode we discuss both sides of mathematical literacy, why it is so powerful, how to help students develop literacy, and what common actions by math teachers hamper the development of mathematical literacy. To access the show notes, please visit: https://thebeardedmathman.com/podcast/E8
27 minutes | Oct 10, 2019
E7 Inequalities in One Variable
The first time most students will be exposed to graphs, multiple solutions (solution sets), connecting algebraic expressions to English sentences, and what it really means that the Real Number Line is continuous all happens when they learn to graph inequalities. This is a golden opportunity, as a teacher, to help students develop a foundation that will serve their mathematical progress for years to come! In episode 7 we discuss exactly that. For the show notes and other information, please visit: https://thebeardedmathman.com/podcast/E7
36 minutes | Oct 3, 2019
E6 Do We Teach to Mastery?
It is often said that we teach to mastery. But let me ask you, have you ever been taught anything to mastery? Mastery is developed over time, through experience. In this episode we talk about how to differentiate expectations and student roles in the classroom to allow those that "get it" to approach mastery while helping those that struggle to approach true proficiency. To access show notes, please visit: https://thebeardedmathman.com/podcast/E6
26 minutes | Sep 26, 2019
E5 What Rational Exponents Really Mean
This episode helps you, the teacher, breakdown the notation used with rational exponents so that your students can connect what they understand about multiplication, exponents, and division in a way that helps them clearly understand what rational exponents mean. To view the show notes, please visit: https://thebeardedmathman.com/podcast/e5/
30 minutes | Sep 19, 2019
E4 Improving Student Literacy with Negative Exponents
Welcome, and thank you for visiting. In this episode, number four, we discuss how to promote mathematical literacy in students by teaching them how to read the notation used with negative exponents. The idea is that by having them learn to read and understand the notation, there will be much less to remember. After all, what is there to remember when reading information beyond the ability to read the information!? Please feel free to check out the exponents page by clicking here. To download a lesson that helps students match equivalent expressions with variables and negative exponents, please click here.
43 minutes | Sep 12, 2019
Teaching Square Roots Conceptually
This episode is all about teaching square root numbers conceptually. The idea is that doing so will promote mathematical literacy in your students, improve retention, and help develop problem-solving abilities in your students. In the podcast episode we will discuss how to introduce five key conceptual ideas and then use those throughout the procedural development of students. By using the concepts to initiate a procedure, and then to validate a result, students develop deep conceptual understanding. For more information please visit: https://thebeardedmathman.com/podcast/E3 https://thebeardedmathman.com/squareroots
36 minutes | Sep 5, 2019
The Failures of Remediation
Remediation is typically focused on training students how to get answers. This is an overt focus on the development of procedural proficiency without conceptual understanding. Such an approach has students able to repeat the steps they were trained to perform under strict conditions. However, the understanding is minimal and students will not recall what they've "learned." In this episode we discuss why remediation fails and what to do about it. Finally, we discuss a specific application of how to remediate effectively. Please visit: https://thebeardedmathman.com/podcast/e2
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