Friday Afternoon Lifesavers – Math Videos from Bill Lombard Fill your classroom with excitement, problem solving, and STAR power using FREE “Videos by Bill.” View sample videos during the session and be ready for Monday using the full Video Menu included. ************* An Online Resource for Math Teachers Incorporating the Common Core Standards 1 Reasons to Use Math Videos 1. Use other people’s expertise 2. Use your own expertise 3. Give students a pre-made lesson 4. Take a break from being on stage 5. Stop and Go lesson 6. Replay the lesson 7. Students can review the lesson at home 8. Math in the Real World 9. Teacher Training 2 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Math Video Tips 1. Record at 720P so video can be shown on projector 2. Speak clearly, slowly, and pause often 3. Short, focused video 4. Make several videos around one theme 5. Youtubedownloader 3 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 1. Ring a Bell Numbers – Fun Math in the Classroom Ring a Bell Numbers is one of my favorite game-type activities in the classroom since it allows numbers from outside the classroom to enter my students’ lives in a fun, engaging way. Here are some reasons to use this activity: Excellent way to reinforce the importance of numbers • Shows numbers as part of common knowledge • Relates mathematics to the real world • Great way to review vocabulary • Good for class game by teams • Engages all levels of learners • Provides segue into lesson 4 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 1. Ring a Bell Numbers – Fun Math in the Classroom (continued) Some great pedagogical information from M. B. Rowe. Wait, Wait, Wait. . . .School Science and Mathematics: • Length of students responses increases • Number of unsolicited, appropriate responses increases • Failures to respond decrease • Students’ confidence in their answers increases • Speculative thinking increases • Students ask more questions • Contributions by slow learners increase • Disciplinary actions decrease 5 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 2. Math Made Fun – a Video Series for Math Mavens and Future Math Mavens On my mathvideouniversity site on youtube, I’ve begun a series of videos intended to bring FUN into the math classroom while still teaching sound mathematics. My coauthor, Brad Fulton, and I have created literally thousands of pages of activities on Microsoft Word and PowerPoint that are currently residing on our hard drives. Prior to making these videos, the only people who were able to take advantage of these resources were our students and the folks who attended our workshops/conferences or bought our books and DVDs. We want to make this exciting mathematics more available to a wider audience, and have decided that creating online videos will do the trick! Our goal is to create videos of 5 – 10 minute duration that are tightly focused around one topic that show some fascinating aspects of mathematics. Here are some ways/reasons these videos can be used: 6 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 2. Math Made Fun – a Video Series for Math Mavens and Future Math Mavens It’s possible to do things on a video that are not able to be done in a classroom Students can watch these videos any time – pause/rewind any part of video Parents/tutors can watch with students to give help as needed 1. They allow parents to keep in contact with what’s going on in the classroom 2. A new model: Instruction can happen outside the classroom & tutoring can happen inside the classroom 3. Students need to see that education/training is available to suit their schedules 4. Allows educators to view video to improve instructional strategies 5. Can be used for teacher inservice training at workshops/faculty meetings 6. Can be used for individual teacher enrichment/education 7. Can showcase teachers at their best – without having to deal with daily issues 8. And lastly, a substitute can show the video so that instruction can take place in a teacher’s absence 7 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 3. Video – Standardized Test Strategy – Working Backwards The Standardized Test Strategy – Working Backwards video shares one approach I take in class with students when explaining how to do well on standardized tests. It’s helpful to have the correct answer as one of the possible answers given on the test. It’s even nicer when you have some strategies to make it even easier to score better! 8 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 4. Line by Line – A Mathematical Puzzle Poem Made of Numbers Line by Line – A Mathematical Puzzle Poem gives the reader clues about a mathematical poem made up of numbers. Each line gives a clue about the line following. Line by Line, Part 2 will present the solution. Here is where you can find this (somewhat ) classic poser on youtube: A Mathematical Puzzle Poem 9 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 5. Video – Sum Equals Product Puzzle – Part 1 Here’s a puzzle from the California Math Communicator, the quarterly math journal for California’s math teachers from the California Math Council. The Sum Equals Product Puzzle asks the question, “Can you find two positive integers whose sum equals their product?” Bill Lombard shares this problem and shows several extensions of this puzzle about number sense. Part 2, the next video in this series, will show the solution, Bill’s method of solving, extensions, the generalization, and some pedagogy of teaching problem solving in the math classroom. 10 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 6. Reverse the Math Puzzle Using 2, 3, and 4 I’ve just posted a new video at my mathvideouniversity site on youtube called Reverse the Math Puzzle Using 2, 3, and 4. This puzzle uses the numbers 2, 3, and 4, along with standard operational symbols of mathematics to create the numbers 1 – 10. The reason it’s called Reverse the Math is that the numbers from 1 – 10 are the target numbers, or essentially the answers to problems that must be created; so students and puzzle enthusiasts are given the answers, but must come up with problems that have the answers from 1 – 10. Not only is this a great puzzle that builds number sense, it also reinforces a great deal of number properties and provides examples of algebra concepts in a fun way. You can find solutions using exponents, factorials, and square roots, and in most cases there are a number of different ways to express numbers using the given “ingredients.” I’ve used this type of puzzle for years, often spending a week on this as warmups or part of homework. Each day I change the ingredients and watch students’ number sense and enthusiasm grow. 11 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 7. GeoGebra Prim – a Simpler Version of GeoGebra for Younger Students The developers of GeoGebra have created a version of the algebra/geometry/creative math software for younger students. This “slimmed down” version has much of the capabilities of its bigger cousin, but with a simplified interface. Users of GeoGebra will find no difficulty with this version, but for new users it is somewhat easier since there are no dropdown icon menus. There are some default options that simplify drawing, and only the most common geometry constructions are available from this menu. Here’s the download site for this new addition/edition of GeoGebra – making this creative, intuitive software easier to use for younger minds: http://www.geogebra.org/webstart/4.0/GeoGebraPrim.jnlp Some of the features: * Restricted set of Tools available * All available Tools visible at once * Larger Font size * Larger / Thicker Objects * Just the Graphics View showing * Easier to select objects * Labeling of objects disabled * Angles always between 0° and 180° by default My verdict after playing with this new version: It’s a sure winner, and I’m glad to see that younger people will be better able to develop their mathematical minds with GeoGra Prim. 12 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 8. Mr. L’s YouTube KenKen Video I got an email from YouTube a few days ago asking if I was interested in YouTube’s Partnership Program. This program allows video makers the opportunity to place ads next to their videos and receive a share of the revenue. I was surprised at this, so I visited my KenKen video, KenKen 4×4 Introduction and Strategy, and found out that it’s been watched over 13,000 times as of this date (mid-Dec 2010). That’s pretty cool for a math/puzzle video. It’s nice to see so many people interested in puzzles, especially one that is so math oriented. So I guess I’ll make some more vids showing how to use puzzles in and out of the classroom to improve logical and mathematical thinking. 13 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 9. Video – Standardized Test Strategy – Eliminate Impossible Answers The Standardized Test Strategy – Eliminate Impossible Answers video shares the approach I take in class with students when explaining how to do well on standardized tests. There’s a lot of good thinking that can be found in multiple choice tests, and I stress with students that they want to be “smart test-takers” when doing these tests. I don’t give answers here, but point students in the right direction so they don’t make obvious mistakes. 14 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 10. Pyramid Math – a Video Introduction to the Number Sense Development Activity One of the most popular activities from the Teacher to Teacher Press book Number Sense is Pyramid Math. This creative practice activity facilitates discovery of number patterns and develops number sense. The activity works great with both positive and negative numbers and decimals and fractions. Because it can be designed to be self-checking, it is easy for the teacher and engaging for the students. Watch Bill as he gives an intro to this wonderful activity. It can be played in HD (720p) for full-screen use in classrooms with projectors. 15 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 11. Linear Inequalities – a Teacher Training Video from Teacher to Teacher Press Here’s a video which shows two visual approaches to teaching linear inequalities. It can be used for sharing with other math teachers or students who are looking for a way to “see” how inequalities work. 16 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 12. Visual Algebra Video – Nuggets and Scales Classroom Lesson 1 This is a video introduction to the activity Nuggets and Scales from Brad & Bill’s book Simply Great Math Activities: Algebra Readiness. Teachers can use this video in the classroom as an easy way to introduce unknown quantities, set up and solve linear equations, and incorporate language in the process. This can be used to easily show students a nice transition from a visual representation to the abstract algebra. The preceding post has a video showing teachers the pedagogical structure of the activity. 17 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 13. Visual Algebra Video – Nuggets and Scales for Teachers Here’s a video introduction to the activity Nuggets and Scales from Brad & Bill’s book Simply Great Math Activities: Algebra Readiness. It shows the teacher the pedagogical structure of the activity. This can be used to easily show students a nice transition from a visual representation to the abstract algebra, as well as incorporating language. This video will be followed by a video for students that can be used for instruction in the classroom. 18 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s (a.k.a. Mr. L) Math Videos From www.mrlsmath.com 13b. Knights Tour 5x5 Knights Tour 5x5 is a motivating activity/puzzle that works with both over and under achievers, promotes critical thinking and strategy, and is a great introduction to chess. It has multiple solutions, is self-assessing, and can be extended to an 8×8 grid involving magic squares. http://www.youtube.com/watch?v=X2imQw8ZX5A 19 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s Math Video Suggestions 14. The Khan Academy A free world-class education for anyone anywhere. The Khan Academy is an organization on a mission. We're a not-for-profit with the goal of changing education for the better by providing a free world-class education to anyone anywhere. All of the site's resources are available to anyone. It doesn't matter if you are a student, teacher, home-schooler, principal, adult returning to the classroom after 20 years, or a friendly alien just trying to get a leg up in earthly biology. The Khan Academy's materials and resources are available to you completely free of charge. Watch. Practice. Learn almost anything for free. With a library of over 2,600 videos covering everything from arithmetic to physics, finance, and history and 220 practice exercises, we're on a mission to help you learn what you want, when you want, at your own pace. 20 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s Math Video Suggestions 15. Brightstorm Math Great teachers explaining concepts and sample problems on video Short, to-the-point FREE math videos covering every topic in Algebra, Geometry, Algebra 2, Trigonometry, Precalculus and Calculus Brightstorm's Math Homework Checker-instant answers to your specific math problems Tens of thousands of learners like you sharing free math help in our Questions & Answers Forum http://www.brightstorm.com/math/ 21 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s Math Video Suggestions 16. MathTV Our Mission Statement We produce quality materials for mathematics instruction, including textbooks (both print and electronic) videos, online homework, and worksheets. We want students to buy new copies of our textbooks and keep them for reference for courses they will take later in their college careers. We offer all of our products at a reasonable price, with professional, accessible service. Our goal is to give students the opportunity to be successful in any college mathematics course from basic mathematics through the first year of calculus. Study skills, success skills, and common mistakes are integrated in with all our materials. http://www.mathtv.com/videos_by_topic 22 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s Math Video Suggestions 17. Nature by Numbers A SHORT MOVIE INSPIRED ON NUMBERS, GEOMETRY AND NATURE. Go to etereaestudios.com if you are looking for more information: the theory behind the movie (Fibonacci, Golden Ratio, Delaunay, Voronoi…), stills and screenshots showing the work in progress. Music: "Often a Bird" by Wim Mertens. http://vimeo.com/9953368 http://www.youtube.com/watch?v=kkGeOWYOFoA 23 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s Math Video Suggestions 18. Abbott And Costello 13 X 7 is 28 Costello proves to Abbott that 13 times 7 is 28, very funny. from the movie A Little Giant http://www.youtube.com/watch?v=rLprXHbn19I 24 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s Math Video Suggestions 19. 25 divided by 5 equals 14 A man and a woman proves to another man that 25 divided by 5 equals 14, hilarious... http://www.youtube.com/watch?v=omyUncKI7oU&feature=related 25 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Bill Lombard’s Math Video Suggestions 20. Pendulum Waves Fifteen uncoupled simple pendulums of monotonically increasing lengths dance together to produce visual traveling waves, standing waves, beating, and (seemingly) random motion. The period of one complete cycle of the dance is 60 seconds. The length of the longest pendulum has been adjusted so that it executes 51 oscillations in this 60 second period. The length of each successive shorter pendulum is carefully adjusted so that it executes one additional oscillation in this period. Thus, the 15th pendulum (shortest) undergoes 65 oscillations. http://www.youtube.com/watch?v=yVkdfJ9PkRQ&feature=player_e mbedded 26 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Screencasting – Videos Made Easy You can record what you do on your computer. Screencasting software List? 1. GeoGebra 27 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Screencasting – Videos Made Easy You can record what you do on your computer. 1. GeoGebra 28 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Screencasting – Videos Made Easy You can record what you do on your computer. 1. GeoGebra 2. Excel (or other) spreadsheet 29 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Screencasting – Videos Made Easy You can record what you do on your computer. 1. GeoGebra 2. Excel (or other) spreadsheet 3. Model situations mathematically 30 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Screencasting – Videos Made Easy You can record what you do on your computer. 1. GeoGebra 2. Excel (or other) spreadsheet 3. Model situations mathematically 4. Students listen to you and others reason mathematically 31 Friday Afternoon Lifesavers – Math Videos from Bill Lombard Screencasting – Videos Made Easy You can record what you do on your computer. 1. GeoGebra 2. Excel (or other) spreadsheet 3. Model situations mathematically 4. Students listen to you and others reason mathematically 5. 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