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BEST PRACTICES
Philosophy and Best Practices. Cart Before the Horse. The easy part of teaching any curriculum is the curriculum. The hard part of learning to teach a new curriculum is SHIFTS - THE BEARDED MATH MAN The shift from expert disseminating information to eagerly receptive students to a mentor/coach that guides and encourages students through the education process is difficult. The Cambridge philosophy is that all subjects, at all grade levels, have the same purpose. That is to develop an educated person. Your particular subject is a vehicle. THEBEARDEDMATHMAN.COM thebeardedmathman.com HOW TO TEACH EXPONENTS Exponents are one of the most difficult topics to teach because once you understand how they work, it seems so obvious. And once you understand something to the point of it being obvious, your memory of how difficult it was to learn and what caused problems is almostentirely erased.
SETS OF NUMBERS AND THE PROBLEM WITH ZERO AND DIVISION ©Philip Brown – thebeardedmathman.com Repeating Decimals Written as Fractions Consider the fraction 1. 3 This is a rational number because it is the ratio of two integers, 1 and 3.1.1
Sets of Numbers and the Problem with Zero and Division. We will begin with the various types of numbers called Real Numbers. Together, these THE ORDER OF OPERATIONS AND FUNCTION NOTATION © Philip Brown, 2017 thebeardedmathman.com Example 2: 2 10 6 3 §· ¨Â¸ ©¹ In Example 2 the numerator, ten plus six, must be calculatedbefore the division
UNIT 2: ALGEBRA
©Philip Brown, 2019. thebeardedmathman.com Unit 2: Algebra Note: Before we dive into Algebra, how about a little background.The branch of mathematics we call Algebra wasn’t always called Algebra. Peoplefrom all over the
PERCENTAGES PART 1
A similar example is: What increased by 10% is 42? This is a touch trickier, but if an equation is written, the method of finding a solution is readily available, allSLIDE 1WEB VIEW
An educated person leads a richer, fuller life than an uneducated person because they’re better at thinking, considering unexpected angles, better at listening and communicating.BEST PRACTICES
Philosophy and Best Practices. Cart Before the Horse. The easy part of teaching any curriculum is the curriculum. The hard part of learning to teach a new curriculum is SHIFTS - THE BEARDED MATH MAN The shift from expert disseminating information to eagerly receptive students to a mentor/coach that guides and encourages students through the education process is difficult. The Cambridge philosophy is that all subjects, at all grade levels, have the same purpose. That is to develop an educated person. Your particular subject is a vehicle. THEBEARDEDMATHMAN.COM thebeardedmathman.com HOW TO TEACH EXPONENTS Exponents are one of the most difficult topics to teach because once you understand how they work, it seems so obvious. And once you understand something to the point of it being obvious, your memory of how difficult it was to learn and what caused problems is almostentirely erased.
SETS OF NUMBERS AND THE PROBLEM WITH ZERO AND DIVISION ©Philip Brown – thebeardedmathman.com Repeating Decimals Written as Fractions Consider the fraction 1. 3 This is a rational number because it is the ratio of two integers, 1 and 3.1.1
Sets of Numbers and the Problem with Zero and Division. We will begin with the various types of numbers called Real Numbers. Together, these THE ORDER OF OPERATIONS AND FUNCTION NOTATION © Philip Brown, 2017 thebeardedmathman.com Example 2: 2 10 6 3 §· ¨Â¸ ©¹ In Example 2 the numerator, ten plus six, must be calculatedbefore the division
UNIT 2: ALGEBRA
©Philip Brown, 2019. thebeardedmathman.com Unit 2: Algebra Note: Before we dive into Algebra, how about a little background.The branch of mathematics we call Algebra wasn’t always called Algebra. Peoplefrom all over the
PERCENTAGES PART 1
A similar example is: What increased by 10% is 42? This is a touch trickier, but if an equation is written, the method of finding a solution is readily available, allSLIDE 1WEB VIEW
An educated person leads a richer, fuller life than an uneducated person because they’re better at thinking, considering unexpected angles, better at listening and communicating. THEBEARDEDMATHMAN.COM thebeardedmathman.com HOW TO TEACH EXPONENTS Exponents are one of the most difficult topics to teach because once you understand how they work, it seems so obvious. And once you understand something to the point of it being obvious, your memory of how difficult it was to learn and what caused problems is almostentirely erased.
WAYS TO IMPROVE STUDENT MEMORY Ways to Improve Student Memory When students struggle to use what they’ve learned in the past it causes huge issues with both time andfurther learning.
BEST PRACTICES
Philosophy and Best Practices. Cart Before the Horse. The easy part of teaching any curriculum is the curriculum. The hard part of learning to teach a new curriculum is SHIFTS - THE BEARDED MATH MAN The shift from expert disseminating information to eagerly receptive students to a mentor/coach that guides and encourages students through the education process is difficult. The Cambridge philosophy is that all subjects, at all grade levels, have the same purpose. That is to develop an educated person. Your particular subject is a vehicle. THEBEARDEDMATHMAN.COM thebeardedmathman.com SYSTEMS OF EQUATIONS Consider making your next Amazon purchase using our Affiliate Link. You get the same prices, service and shipping at no extra cost, but a small portion of your purchase price will HOW TO TEACH EXPONENTS Exponents are one of the most difficult topics to teach because once you understand how they work, it seems so obvious. And once you understand something to the point of it being obvious, your memory of how difficult it was to learn and what caused problems is almostentirely erased.
1.1
Sets of Numbers and the Problem with Zero and Division. We will begin with the various types of numbers called Real Numbers. Together, these SETS OF NUMBERS AND THE PROBLEM WITH ZERO AND DIVISION ©Philip Brown – thebeardedmathman.com Repeating Decimals Written as Fractions Consider the fraction 1. 3 This is a rational number because it is the ratio of two integers, 1 and 3. THE ORDER OF OPERATIONS AND FUNCTION NOTATION © Philip Brown, 2017 thebeardedmathman.com Example 2: 2 10 6 3 §· ¨Â¸ ©¹ In Example 2 the numerator, ten plus six, must be calculatedbefore the division
UNIT 2: ALGEBRA
©Philip Brown, 2019. thebeardedmathman.com Unit 2: Algebra Note: Before we dive into Algebra, how about a little background.The branch of mathematics we call Algebra wasn’t always called Algebra. Peoplefrom all over the
PERCENTAGES PART 1
A similar example is: What increased by 10% is 42? This is a touch trickier, but if an equation is written, the method of finding a solution is readily available, allBEST PRACTICES
Philosophy and Best Practices. Cart Before the Horse. The easy part of teaching any curriculum is the curriculum. The hard part of learning to teach a new curriculum is SHIFTS - THE BEARDED MATH MAN The shift from expert disseminating information to eagerly receptive students to a mentor/coach that guides and encourages students through the education process is difficult. The Cambridge philosophy is that all subjects, at all grade levels, have the same purpose. That is to develop an educated person. Your particular subject is a vehicle. THEBEARDEDMATHMAN.COM thebeardedmathman.com SYSTEMS OF EQUATIONS Consider making your next Amazon purchase using our Affiliate Link. You get the same prices, service and shipping at no extra cost, but a small portion of your purchase price will HOW TO TEACH EXPONENTS Exponents are one of the most difficult topics to teach because once you understand how they work, it seems so obvious. And once you understand something to the point of it being obvious, your memory of how difficult it was to learn and what caused problems is almostentirely erased.
1.1
Sets of Numbers and the Problem with Zero and Division. We will begin with the various types of numbers called Real Numbers. Together, these SETS OF NUMBERS AND THE PROBLEM WITH ZERO AND DIVISION ©Philip Brown – thebeardedmathman.com Repeating Decimals Written as Fractions Consider the fraction 1. 3 This is a rational number because it is the ratio of two integers, 1 and 3. THE ORDER OF OPERATIONS AND FUNCTION NOTATION © Philip Brown, 2017 thebeardedmathman.com Example 2: 2 10 6 3 §· ¨Â¸ ©¹ In Example 2 the numerator, ten plus six, must be calculatedbefore the division
UNIT 2: ALGEBRA
©Philip Brown, 2019. thebeardedmathman.com Unit 2: Algebra Note: Before we dive into Algebra, how about a little background.The branch of mathematics we call Algebra wasn’t always called Algebra. Peoplefrom all over the
PERCENTAGES PART 1
A similar example is: What increased by 10% is 42? This is a touch trickier, but if an equation is written, the method of finding a solution is readily available, all SHIFTS - THE BEARDED MATH MAN The shift from expert disseminating information to eagerly receptive students to a mentor/coach that guides and encourages students through the education process is difficult. The Cambridge philosophy is that all subjects, at all grade levels, have the same purpose. That is to develop an educated person. Your particular subject is a vehicle. THEBEARDEDMATHMAN.COM thebeardedmathman.comPERCENTAGES PART 1
A similar example is: What increased by 10% is 42? This is a touch trickier, but if an equation is written, the method of finding a solution is readily available, allUNIT 2: ALGEBRA
©Philip Brown, 2019. thebeardedmathman.com Unit 2: Algebra Note: Before we dive into Algebra, how about a little background.The branch of mathematics we call Algebra wasn’t always called Algebra. Peoplefrom all over the
SLIDE 1WEB VIEW
An educated person leads a richer, fuller life than an uneducated person because they’re better at thinking, considering unexpected angles, better at listening and communicating.* Home
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WELCOME
Hello and welcome to the Bearded Math Man’s website. Our mission is to support students, teachers and parents in their pursuit of improved math education outcomes.  We support this pursuit by publishing content and resources that treat topics in mathematics conceptually, with the end goal of developing mathematical literacy in students. By developing literacy, students will, over time, acquire new learning more quickly while retaining what it is they know. New content is being published daily. So, if you've not found something you are seeking, please check back soon. In the mean time, let me know what you're looking for. Send me an email.
What's New
Teachers
Students
Parents
What's New
Please be patient with finding content as we are continuing to restructure the website. Use the search icon at the top to help locate what it is you're looking for. The 9th episode of the On Teaching Math podcast was released on Thursday morning. In this episode we discuss the role of homework, how to get students to homework, and how to make sure that they realize the benefits of homework. The end result is that students should be willing participants, not just compliant children, in theireducation.
This week there has also been a series of video on inequalities released. You can visit our YouTube channel, or find
them on this page
.
Teachers
WELCOME TEACHERS
This website is primarily built for you, the teacher. With the resources found on this page you will be well equipped to approach topics in your class with the express goal of developing student mathematical literacy.  It is through the development of mathematical literacy that students will build procedural proficiency that will be retained over time. A few key elements separate the lessons, assignments and assessments found here from other publications. The most obvious is the focus on developing meaning and understanding in balanced conjunction with procedure. Procedure is a consequence of the concepts at play in a given topic.  The lessons have been developed and revised from real classrooms to do just that. Students need to understand what it is they are doing and why it works. That is a much deeper understandingthan just _how_.
The assignments and assessments challenge student understanding while also providing opportunity to develop, and then demonstrate, procedural proficiency. The assignments should provide you and the students with meaningful insights into what it is they know, and howwell they know it.
The other difference, which is very important, but more subtle, is a response to the nature of learning.  It is through confronting misconceptions that students truly learn. Without this uncomfortable process, people unknowingly twist information to fit their existing body of knowledge, which often contains misconception and misunderstanding. The lessons expose misconceptions either directly through declaration (this is a common mistake and here is why it is wrong), or subtly, through devising questions that expose common misconceptions in students. The assignments are designed to further extract misconceptions of students.  These are not "plug and chug," rehearsals of procedure assignments. They are thoughtfully created to challenge student thinking and understanding. Here is a video by Derek Muller that inspired us to more deeply explore how to use misconception in teaching to promote studentlearning.
The assessments found here are balanced between opportunities for student to demonstrate simple procedure and opportunities for students to apply their knowledge in problem solving. They provide you with insight into what students know and how well they know it! To help you assign appropriate grades, each assessment has a gradingrubric.
All materials are free to use. However, if you'd like to help support our efforts here you can purchase "Packets," which will provide you with a downloadable file with that topic's resources all organized and easily referenced for future use.Students
WELCOME STUDENTS
On this page you will find resources that will help you really begin to understand mathematics. It is my goal that you become mathematically literate. That means you don't just know how to do "stuff," but you know what it is you're doing and why it works. With this level of mathematical literacy comes recall (you won't forget), and quicker acquisition of future learning in mathematics. Best of all, through the development of mathematical literacy will come one more, massively important thing. The mathematical barriers that currently exist between you and your dream will be removed. When you learn to think mathematically, no math class will get in the way of what you want to do with your life. To begin, just select the class you're taking from the Courses tab above. You can use the search button to find specific topics in that course. What you'll find for each topic is a text that explains the mathematics, a PowerPoint you can play and follow through as though you were in class, a video (for most topics), and some practicework.Â
Parents
WELCOME PARENTS
You can find extra help and resources you need for your students on this page. But, be careful, you might end up learning this level of math yourself (if you don't already know it)! The design of the resources found here is different than other publications. The purpose of a mathematics education is the training of the mind. When your child develops the ability to think critically and incorporate elusive, tricky ideas into their body of knowledge, they'll be empowered moving forward in life.  The specific topics in a high school education themselves are typically of little use. But, in acquiring the conceptual understanding and procedural fluency of those topics, students develop something that they will be using every day; a sharp mind. It is with this in mind that the resources found on this page are developed. There is very little step-by-step, answer-getting guidance. What you will find here are sets of resources designed to help you child understand what it is they are doing and why it works. In short, the resources here will help your child to develop mathematical thinking. The reason I put this page together, the reason I teach math, is to help empower young people so that the mathematical barriers that exist between them and their dreams will be absolved. I want to empower children with the ability to think mathematically.__ Search
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