Category: Math

Pi Day is an annual celebration commemorating the mathematical constant π (pi). Pi Day is observed on March 14 since 3, 1, and 4 are the three most significant digits of π in the decimal form. Daniel Tammet, a high-functioning autistic savant, holds the European record for reciting pi from memory to 22,514 digits in five hours and nine minutes.

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Here are some great math apps for iPads and smartphones that add rigor and automaticity to your classroom:

1. AIRR Math–student centered math activities in AIRR Math promote a strong, solid foundation for students’ success throughout their educational experiences.
2. Babakus–combines an abacus and calculator to provide math-challenged students with an excellent option for learning math
3. CalcMadeEasy–Free–One of the Best Calculators for iOS devices. CalcMadeEasy FREE version comes with fully functional Scientific Calculator and Notepad with automatic note taking capability.
4. Elevated Math–Elevated Math provides initial instruction or intervention on math topics that cover place value, estimation, large digit addition all the way through Algebra I (two years of math instruction!)
5. Egberta’s Equations–Egberta the macaw has a nest full of tasty eggs that Cliff the climber wants to eat. Unfortunately, the eggs are on top of a tall cliff. Help Cliff reach the top and get the eggs by completing equations.
6. Flash to Pass–easy-to-use, elegant program designed to facilitate mastering the basic math facts learned in Elementary School.
7. Fraction Basic–free video app provides a quick and simple way for you to learn and understand the basics behind fractions.
8. Free GraCalc–A powerful, flexible graphing calculator . . . and it’s free!
9. Grade 1 Math–Simple and easy to use math drill app for your 1st grader!
10. Grade 2 Math–Simple and easy to use math drill app for your 2nd grader!
11. Grade 3 Math–Simple and easy to use math drill app for your 3rd grader!
12. Hungry Fish–Practice mental addition and subtraction with Motion Math
13. iFormulae–simple library consisting of various formulae, equations with their example.
14. Math Bingo– If you need a way to break the tedium of repetitious math fact practice, get your students and iPad and let them have at Math Bingo
15. Math Board Addition–good basic addition practice
16. Math Drills Lite–Graphically rich and fun environment allows a single student to learn basic math skills in addition, subtraction, multiplication and division.
17. Math Game–sharpen math skills
18. Math Puppy–Bingo Challenge Educational Game
19. Math Ref – Free
20. Math Zoom–An animal adventure through the world of numbers!
21. Mental Math–Amaze and delight others as you multiply, divide, and square at lightning fast speed.
22. Motion Math–practice real-life scenarios using math
23. Murky Math–Grade 1—focused on basic Math skills for Grade 1. Content is aligned with Common Core Standards
24. Murky Math–Grade 2–focused on “applied Math & Logic” skills for children in 2nd Grade or advanced learners in 1st Grade
25. My Math Flashcards App–My Math Flash Card App is for mastering basic elementary math facts. Its an easy to use and customizable application to enable focused learning.
26. Percentage Off–Easy to use and accurate
27. Quick Graph–a powerful, high quality, graphic calculator that takes full advantage of the multitouch display and the powerful graphic capabilities of the iPad and iPhone, both in 2D and 3D.
28. Rocket Math–use rockets to learn math
29. Slice It–slide objects into pieces
30. Splash Math 5 worksheets–5th grade–a fun and innovative way to practice math. 9 chapters covering an endless supply of problems.
31. Timed Test Arcade–Timed Test is a full-featured addition math facts timed test simulator. Create completely customizable timed tests.
32. Undersea Math–Learn Addition Visually – Solve all levels on the treasure map to find the treasure chest.

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There are a lot of online math systems to help students through one of school’s toughest subjects (if not science). Each one proclaims they have the way to teach students while having fun, in ways that are aligned with state and national standards. How do you decide what is best  for your class? Here are guidelines, culled from top education sites like Edutopia, Google Education, Educational Technology, and EdWeek that are valuable when evaluating any website:

• free or small fee
• support the ‘4 C’s’–creativity, critical thinking, communication, collaboration
• offer compelling content (this is subjective; ‘compelling’ varies teacher-to-teacher and student-to-student)
• are not distracting or overwhelming in colors, music, or activity
• offer levels that become increasingly more difficult, providing differentiation for student needs
• stand the test of time–do students stay engaged even after playing it over and over
  
• positive parent reports
• few ads–and those that are there do not take up a significant portion of the screen
• intuitive to use with a short learning curve
• encourage independence
• easily applied to a variety of educational environments
• doesn’t collect personal information other than user credentials or data required to operate the app
• includes age-appropriate content
• fulfills intended purpose
• aligned with Blooms Taxonomy, Common Core, ISTE, or other state/national/international standards
• received awards/citations

Here’s one I think meets all these basic requirements as well as makes students want to practice their math:

Prodigy Math Game

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Here’s an authentic use of technology to support discussion on math, language standards, and the holidays. As a summation to your discussion with students on symbols, idiomatic expressions, geography, farms, or another topic, post this on your Smartscreen. The poll includes lots of definitions for the word ‘turkey’–from objective to idiomatic. Have each student come up some time during the day (or class) and make their choice.

[polldaddy poll=7398424]

Did your students come up with other definitions I didn’t list?

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What are we as parents and teachers most worried about over the summer? That kids will lose that education sharp edge. It will be dulled by sun and sand and something else.

Worry no more. Here’s your cure: learning disguised as play (inspired by the fascinating website, Playful Learning). Kids will think they’re playing games, but they’ll actually be participating in some of the leading [mostly] free simulations available in the education field. A note: some must be downloaded and a few purchased, so the link might take you to a website that provides access rather than play:

• Bridge Builder—learn how to design and test bridges
• Dimension U–games that focus on math and literacy–fee-based
• Electrocity—how does electricity contribute to the growth of communities
• iCivics—experience what it means to be part of a democracy
• Second Life—simulates just about anything if you can find it
• West Point Bridge Building Contest–build a bridge for the right price and win a contest

Economics/Money

• Admongo–explore, discover and learn about online ads while playing a game
• Coffee Shop—run a coffee shop business
• Lemonade Stand—run a lemonade stand business

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Of all the skills students learn in school, problem solving arguably is the most valuable and the hardest to learn. It’s fraught with uncertainty–what if the student looks stupid as he tries? What if everyone’s watching and he can’t do it–isn’t it better not to try? What if it works, but not the way Everyone wants it to? When you’re a student, it’s understandable when they decide to let someone tell them what to do.

But this isn’t the type of learner we want to build. We want risk-takers, those willing to be the load-bearing pillar of the class. And truthfully, by a certain age , kids want to make up their own mind. Our job as teachers is to provide the skills necessary for them to make wise, effective decisions.

It’s not a stand-alone subject. It starts with a habit of inquiry in all classes–math, LA, history, science, any of them. I constantly ask students questions, get them to think and evaluate, provide evidence that supports process as well as product. Whether they’re writing, reading, or creating an art project, I want them thinking what they’re doing and why.

Common Core puts problem solving front and center. It comes up in ELA (“Students will be challenged and asked questions that push them to refer back to what they’ve read. This stresses critical-thinking, problem-solving, and analytical skills that are required for success in college, career, and life.”), but is inescapable in Math. In fact, students cannot fully meet the Math Standards without understanding how to effectively approach the unknown. Consider the Standards for Mathematical Practice that overlay all grade levels K-12:

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There is no end to the number of online tools available. I get inundated with them by friends (My child wants to use this website. What do you think?), fellow teachers (Would you check this web tool–does it work for literacy?), parents (My child loves this tool. Is it appropriate?). I am always thrilled because introductions through friends and colleagues are much more authentic than through online advertising or an ezine.

When I review a website or app, I take 15-30 minutes to test it out, try to see it through the eyes of the age group that will use it. Here’s what I look for:

• Does it have advertising? If so, it needs to be nominal and G-rated. I don’t want them to be overbearing or distracting. Worse is if they are inappropriate. I’ve seen great websites and online tools ruined by objectionable ads.
• Is it intuitive? Students want to be able to figure the program out without being taught. An intuitive website and/or app 1) has an easy-to-understand start-up screen that clearly identifies how to use the tool, 2) the process for using the tool is similar to others the students is familiar with, and 3) the student can independently launch and operate the web tool or app without requiring an adult.
• is it user-friendly? Does its design and layout make students want to accomplish the goals of the program? Are students engaged in the activity, motivated to use the web tool? Is it functional? Is it visually stimulating? Does it require only a nominal amount of reading?
• Does the web tool differentiate for types of students and their unique needs? Sure, there are lots of good web tools appropriate for a certain standard classification of student. What I want is the web tool that can adapt to varying needs.
• Is the tool challenging? Does it require sufficient critical thinking to keep the student engaged or do they get bored quickly?
• Is the web tool compatible with most browsers, most computers? I don’t want it so old it won’t play well with the type of computer commonly used by students. I also don’t want it so specialized that students must buy extra equipment to use it.
• Is the web tool free? That’s preferable. There are lots of good web tools that are free to a certain point and charge a fee after that. Depending upon what ‘point’ that kicks in, I’m OK with that
• Does the web tool encourage higher-order thinking–creativity, evaluation, critical thinking, problem solving?
• Is the web tool or app error-free? This means not only that it’s free of spelling and grammar errors, but that it doesn’t freeze, stall, shut down, or crash.
• Does the web tool have educational applications? When students are at school, I want to focus on academic endeavors, leaving those more focused on ‘play’ to the home environment. So many fun programs are also educational, this isn’t a high hurdle.

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Here’s a free lesson plan from the newest Ask a Tech Teacher book, How to Achieve Common Core with Tech–the Math Strand. This covers K-8, 114 Standards, and has 20 projects.

BTW, the lines at the front of each step are to check off the skill–track progress in case you don’t complete it in one class period. Feel free to print out for your classroom use:

Essential Question

How can I use practical and theoretical knowledge to solve a problem?

Summary

Students virtually construct a viable, affordable bridge and submit it (if age limits met) to a national competition. They use theoretical knowledge in a practical application.  When done, they reflect on importance of both theoretical and practical in problem solving.

This lesson contributes to the rigor of your school’s math program, defined by Common Core: … Use of technology differentiates for student learning styles by providing an alternative method of achieving conceptual understanding, procedural skill and fluency, and applying to authentic circumstances.

By the end of this unit, middle school students will review all eight Standards for Mathematical Procedures, 3 W and 3 RST standards, as well as embrace an authentic experience in problem solving and the practical applications of math knowledge.

Big Idea

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I have just started working with an online teacher training group called Curriculum Study Group. We offer online training to teachers via Google Hangouts, YouTube, instant feedback, and lots of collaborative learning. I am very excited to be part of this venture…

…but I must confess, before I joined, I wondered if teachers would be comfortable hanging out with like-minded professionals for an hour a week? Well, my good friend Amy over at CSG sent me this survey run by Project Tomorrow, a nonprofit group based in Irvine, Calif (my backyard). It seems they had the same question so did a poll. Here are the results:

What’s the take-away: Yes, across the board, principals and teachers are comfortable with online training.

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Every week, I share a website that inspired my students. Here’s one you may have missed. Starfall is a lot more than reading…

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