Wikis

An intensely simple, accessible and collaborative hypertext tool Wiki software challenges and complexifies traditional notions of - as well as access to - authorship, editing, and publishing. Usurping official authorizing practices in the public domain poses fundamental - if not radical - questions for both academic theory and pedagogical practice.


Wikis work most effectively when students can assert meaningful autonomy over the process. This involves not just adjusting the technical configuration and delivery; it involves challenging the social norms and practices of the course as well.


A wiki is a collection of web pages that can be edited by anyone, at any time, from anywhere.  The overriding goal of a wiki is to become a shared repository of knowledge with the knowledge base growing over time.


Some links are featured below on example wikis, tutorials, and other resources are featured below:
http://educationalwikis.wikispaces.com/Articles+and+Resources
http://educationalwikis.wikispaces.com/Examples+of+educational+wikis
http://educationalwikis.wikispaces.com/Educational+wiki+ideas


Math Ties

Since I just posted about a week ago about math apparel, I found out that I left out something very important for a math teacher.  That just happens to be mathematics ties.  All students enjoy on a Thursday seeing a funky tie.  On Thursdays I normally have a bet if the students behave well I will wear some weird tie or something like it, they especially like when I wear my spongebob squaretie.

But, I have a few ties that incorporate math and some links are followed below where you can look at and purchase math ties.
http://www.zazzle.com/funny+math+ties
http://www.zazzle.com/math+ties
http://www.scienceteecher.com/Math-Ties/
http://www.amazon.com/Math-Ties-B1-Problem-Solving/dp/0894556711


Digital Learning Day

Digital Learning Day
February 1, 2012


On Tuesday there is a national awareness campaign to celebrate innovative teachers and instructional strategies. Technology has changed the way we do everything from grocery shopping, to listening to music, and reading books. It’s time to take action to leverage this potential with more innovative uses of technology in our nation's schools to ensure every student experiences personalized learning with great teaching.

Digital learning is best described as teaching practices that effectively use technology to advance the teaching profession and strengthen the teacher and student interface.


Toolkits for Teachers


Sign Up to pledge and say you are going to participate!


Digital Learning Day is not just for schools: learning takes place in many environments, so libraries, community or afterschool programs, and other groups along with parents and students are all invited. Sign up today, learn more, and join us for a celebration of innovation.

How to Win Friends

The beginning instructor's teaching may be greatly facilitated or hampered by relationships with other personnel of the school.

Secretaries
They are the most important aids or barriers to getting things done.  You will not establish a good relationship if you turn in work last minute.  In planning giving the secretary ample time to plan how to schedule your task and meet other demands will establish a good report with.  When beginning in your class the secretaries has tacit knowledge of how to cope with school bureaucracy that can be invaluable to you.

Librarians
You will occasionally wish to recommend or assign readings in library references. Sometimes instructors make assignments without informing the librarians, then librarians are frustrated with many students demanding a book that has already been taken out.  Pre-course planning involves giving the library a list of books that will be required reading that the library can put on hold or reference for your class.

Custodians
Relationships with custodians are also important (maybe most important).  Instructors complain about lack of chalk, messy rooms, or broken seats but teachers fail to recognize their own responsibilities in building maintenance.


Aggressive Students

Every once in a while a class will include one or more students who seem to have a chip on their shoulder- who convey both verbally and non-verbal hostility towards you and the whole enterprise.  What can you do?

The most common strategy teachers use is to ignore the situation even though this strategy can cause more disruptions in the long run.  Other teachers use the situation to become better acquainted with the students and try to figure out the problem.

Whatever the strategy you use, it seems important to let the student know that you recognize him as an individual and that you are committed to his/her learning.  Some tips are featured below:

  • State your position and recognize that not everyone will agree.
  • Present the issue to the class.
  • Admit that you may have been wrong and say that you will take time to reconsider and report back at the next class session.
  • Always listen to what the student has to say.
There are 8 different types of students who seek attention and students who dominate discussions:
  1. Compliant students
  2. Anxious dependent students
  3. Discouraged workers
  4. Independents
  5. Heroes
  6. Snipers
  7. Silent students
  8. Attention seekers
If anyone has any strategies on how they handle non-compliant students feel free to post below.


iPods and iPads

There are many different applications and ways you can get students to learn with apples latest technology.  iPods and iPads are a great way to get students engaged in classroom activities.  Listed below are places to get activities for both technologies.
http://education.apple.com/ipad-learning/
http://perkinsdesignteam2.wikispaces.com/iPod+App+Challenge+Activity
http://esu17training.wikispaces.com/file/view/Curriculum%20Specific%20Free%20iPod%20Applications.pdf

Sometimes the only ways to use iPad's in the classroom is to write a grant, but most districts now have a cart like for laptops strictly for iPads.  Here are some tips and tricks for using themhttp://esu17training.wikispaces.com/file/view/iPod%20Touch%20Tips%20and%20Tricks.pdf

To get all these resources and more follow this link here: http://esu17training.wikispaces.com/Learning+with+the+iPod+and+iPad


Goodreads

Are you trying to decide what to read next?  Most of your students are.  At http://www.goodreads.com/ you tell them what titles or genres you enjoyed in the past and they give you insightful recommendations.  You can use facebook to link your friends reading to yours and see what you have in common.

There is trivia, quizzes, and quotes from different books. (Possibly helpful when you have to take a reading quiz)

In my classroom, some students of mine share similar tastes in books.  I love non-fiction books and can not stand fiction books.  I love reading about math, education, neurology, and brain research.  I can recommend books to my students on what they might like to read.  Creating a book club where students can openly talk about math books in a math classroom is a great way of incorporating reading in mathematics.

The book I am currently reading:

Twitter

I have contemplated before setting up an educational twitter for this website and I always decide against it (for some reason).  But lately I have wondered about setting up a twitter account for my classroom.  I have found a website that has 50 ideas on using twitter in the classroom and these suggestions are starting to persuade me.  I will give you a few to see if you are interested.

  • Point out interesting things in your classroom.
  • Share links to neat activities.
  • Don't tweet about yourself, talk about other people.
  • Promote students' stories.
  • Have more than one twitterer at your institution.
  • Ask questions, Twitter is great for getting opinions.
  • Follow interesting people.
  • Don't read every tweet.
  • 3rd party clients make it easier to manage Twitter.
  • If you tweet all day you will not be popular with your boss.
  • You can never use twitter wrong.
  • Commenting on others' tweets, and retweeting is a great way to build community.
  • Twitter can augment parent feedback.
  • Twitter also helps with staff development.
You can use twitter as homework, post twitter questions as a classroom and have the students answer the questions outside of the classroom.



Expo Markers

Most of the time dry erase markers are boring, normally most teachers use green, black, red, and blue.  But, sometimes there are unique things to do with Expo markers.
  • Make notes on your bathroom mirror
  • Make a pocket sized white board:  put clear packing tape on a piece of paper or index card and write and erase.
  • Write vocabulary words on your shower door.
  • Write on your car's windshield, put information you need on the corners out of the direct sight of the vehicle.
  • You can use it to remove permanent marker.
  • Write down goals on the corners and check them off as you get done.
One great YouTube video I found is how to make an Expo marker light.  This will freak your students out if you turn out the light during your presentation and use the expo marker as a light instead of a real expo marker.

Math Apparel

Every teacher needs a little math apparel from time to time, normally on Pi day I wear a pi shirt or some other math shirt that makes me look a little more geeky than I already do. At first I didn't know where to find shirts that incorporates math very well, so featured below is an activity to do with students that features t-shirts and also some math apparel directed towards teachers.

First and foremost, here are some links that have great teacher math shirts for you:
http://store.math.com/Apparel-Math_Apparel.html
http://www.thinkgeek.com/tshirts-apparel/unisex/sciencemath/?cpg=wnrss
http://shop.cafepress.com/math
http://mathematicianspictures.com/Shirts_.htm

(I'm not sure of the prices, normally you have to pay 20$ at some of the sites and haven't yet found a cheap place to buy them.)

This activity comes from a blog that I follow that gives all sorts of activities that students enjoy.

http://handsonmath.blogspot.com/2011/08/using-t-shirts-to-teach-math-properties.html

It is just a picture on the link, so I will post the picture below, but they use the t-shirt to put the properties of math on them to help students learn.  In algebra I have the t-shirt hanging with all the properties on them and use it as a word wall.  Then I normally give the shirt away at the end of the year.


Wii in Mathematics

Engaging a child in learning math can be a difficult task for any parent or teacher. A new video game, however, is something just about any kid is more than willing to try.  Using the Nintendo Wii in classrooms is a great way to get students engaged in mathematics.  Sixty-five percent of teachers think games could help them better engage students, but just one in ten percent use any sort of educational computer game in class, according to a recent survey. 



There are many different games featured below at the following websites:
http://www.ehow.com/facts_5201674_math-games-wii.html
http://gbl.betterthanworksheets.com/wii-for-math
http://www.wiimaths.com/

Voki for Education



Voki is used to create and share avatars for education.  It helps motivate students and improve lesson comprehension and makes learning fun.

Voki Classroom allows you to manage students and have a login for students, so students don't have to register.  You can include lessons and give assignments all on one page, once on their you can create lessons via can set to private to have just your classroom list. 

There are premade lessons from other teachers you can visit here: http://www.voki.com/lesson_plans.php

There are blogs, classroom resources, and teacher tips to get your Voki going up fast and have students learn in or out of the classroom.

Google For Educators

Google for educators is a seperate page, where google supports teachers in their efforts to empower students and expand the frontiers of human knowledge.  Google for educators has many different resources such as tools for your classroom, classroom activities, classroom posters, and a teacher community.

You can find the link for the site here: http://www.google.com/educators/index.html

 Google for Educators also has a teacher academy.  The Google Teacher Academy is a free professional development experience designed to help primary and secondary teachers from around the globe get the most from innovative technologies.

Cyberlearning Summit

Right now if you go to this link you enter your email address and you can watch the cyberlearning summit at http://cyberlearning.sri.com/webcast/.

There are many different topic areas they will be covering such as Educational Data Mining, Distributed Sensing, Digital Texts, Computational thinking, applications in education, games and virtual worlds, mobile learning, interactive media, simulations, social media, smart representations, visualizations, and much much more.


This cyberlearning is learning that is mediated by networked commuting and communication technologies.  This cyberlearning is apart of the National Geographic Society.  Where NSF has the potential to lead a new wave of STEM initiatives and lead in an increasingly crowded space of contributors.

The program of events is located here at http://cyberlearning.sri.com/w/index.php/Cyberlearning:January_2012_Program


Field Experiences

Experiential learning has both cognitive and motivational goals. Educators hope that abstract concepts will become meaningful when students see that they are helpful in describing and understanding real life phenomena. Motivation is normally very high and students normally report a high level of interest in their field work. However, this normally doesn't carry over to classroom learning, and linking course concepts to field experiences is also difficult. Supervising this learning requires a balance of student independence and teacher control. One needs to give student freedom and have the students learn from their mistakes. Having them write a journal or article ensures that each project will be educational. Consideration of goals or values is necessary if one is to work cooperatively with students to structure and evaluate the experiential learning.

Peer Learning Techniques

Many institutions of learning now promote instructional methods involving ‘active’ learning that present opportunities for students to formulate their own questions, discuss issues, explain their viewpoints, and engage in cooperative learning by working in teams on problems and projects. ‘Peer learning’ is a form of cooperative learning that enhances the value of student-student interaction and results in various advantageous learning outcomes.

Peer Learning Strategies:
Buzz Groups:  large group of students is subdivided into smaller groups of 4-5 students to consider the issues surrounding a problem.  After 20 minutes of discussion, one member of each sub-group presents their findings to the group.
Affinity Groups: Groups of 4–5 students are each assigned particular tasks to work on outside of formal contact time. At the next formal meeting with the teacher, the sub-group, or a group representative, presents the sub-group’s findings to the whole tutorial group.
Solution and Critic Groups: One sub-group is assigned a discussion topic for a tutorial and the other groups constitute ‘critics’ who observe, offer comments and evaluate the sub-group’s presentation.
Teach-Write-Discuss: At the end of a unit of instruction, students have to answer short questions and justify their answers. After working on the questions individually, students compare their answers with each other’s. A whole-class discussion subsequently examines the array of answers that still seem justifiable and the reasons for their validity.

Cheating

There are many ways students try to cheat: passing information, writing information on skin or clothes, storing answers in calculators, looking at someone elses exam, or using hand code.

All teachers want to prevent cheating and not catch cheating, featured below are some tips to prevent students from cheating in your classroom.
  1. Reduce the pressure of test-taking.
  2. Make resonable demand and write resonable and interesting tests.
  3. Develop group norms supporting honesty.
  4. Change seating arrangements.
  5. Use two or more different forms of the test.
  6. Don't leave copies lying around your desk.
Most schools have policies on on cheating so check with them just in case the cheating does occur and if your school does not have a policy on cheating then create your own in your syllabus at the beginning of the year.  This helps create a firm guideline in case one of your students does cheat.

Doodling in Math

Doodling in Math is based on YouTube and the drawings of a girl named Vi Hart.  Vi makes complicated concepts in math, look easy!  I show the infinite series one of hers in class and the students liked it, it gave a better definition of infinity than the book did (who would have known). 

One of my favorites is sick number games, it is featured below.  It goes over prime numbers and the patterns of Pascal's Triangle and Floyd's Triangle.

Happy Teaching (have fun doodling in math)

SMART Board II

SMART has been supporting educators by providing innovative products and services since 1991.  The interactive whiteboards that teachers have in their classrooms immediately see their potential as instructional tools.  Some of their great interactive lessons that help student engagement include the following tools:
  • Magnifyer
  • Vanishing Ink
  • Highlight tool
  • Shrink & Grow Animations
  • Hide/Reveal Strategies
  • Ink Aware
  • Pull Tabs
  • Ordering
  • Transparent Backgrounds
You can find all the tutorials on SMART technology and products here: http://www.smarttech.com/us/Resources/Training/Training+Search?Products=SMART%20Notebook%20collaborative%20learning%20software&Audience=All%20audiences&Budget=All%20budgets&Training%20Type=Free%20Resources


Active Learners, Large Classes

As budgets drop, more and more teachers have to deal with large numbers of students enrolled in a single class.  But, it always seems that class sizes always creep upward.  Large classes are most likely to use lecture methods and less likely to use use discussion than small classes

It is commonplace to suggest that the effect of class size depends on the method used, and its probably true that the size of the group is less critical for success of the lecture.  Class size interacts with student characteristics.  In general, large classes are not simply as effective for student retention of knowledge, critical thinking, and attitude change.

Some other effective lessons you can do in a large group include:
  • Pairing
  • Buzz Groups
  • Other Peer Learning Techniques

Quadratic Rap and Dance

I like to incorporate dancing and learning kinetically is a great way for students to remember concepts, especially concepts they will have to know for multiple classes.  In my classroom I have began to adopt this dance that is for the quadratic formula... it is a little quirky.  First I demonstrate the parts to the students and then go through the steps of the gestures with them.  Lastly, for an exit slip at the very end of the lesson I have them demonstrate the dance to me either as a class or sometimes individually.  The dance is posted below.

10,000 Hours

In the book Outliers by Malcom Gladwell, he explains that the key to success in any field is, to a large extent, a matter of practicing a specific task for a total of around 10,000 hours. Let's do some math!!

Now if you take this satistic and look at it very closely to our students.  In a typical school setting they have math for 45 minutes which is 3/4 of an hour.  Every school year is roughly 180 days, taking in to the fact that the students do no math outside of school, this is roughly over a 12 grade level you get (12 years)*(180 days)*(3/4 of an hour) which comes out to= 1620 hours of pure mathematic instruction.  This is well under Malcom Gladwell's 10,000 of hours to success.

How can we change this in school?

Say we had year round schooling which ideally would be (365 days) for the same 12 grades.  At the same rate we are only at 3,285 hours.  But, if we extend the math period say to 2 hours we end up with 8,760 hours.  Which is much, much closer to the 10,000 hour rule.

Now just for fun, some math fun, say we played soccer for 1.5 hours for 6 years, but only half the days which is roughly 182.5 you end up 1,642.5 hours, which is over the math we currently have in our schools.

Trigonometry Manipulatives

Manipulatives are a way of teaching mathematics with a more hands-on approach.  This helps to bring some of the more abstract ideas of mathematics into more of a concrete context.  The purpose of these activities is for teachers to help their students to more easily understand the ideas and concepts of trigonometry and calculus with an activity that uses the senses to make it more concrete.

SOH CAH TOA
Trig Func.
Unit Circle
Other Manipulatives
Math Ed. Page

 


 Manipulatives in mathematics are often though of as resources that are used in order to teach elementary level mathematics.  They can be defined as "objects that can be touched and moved by students to introduce or reinforce a mathematical concept."

Augmented Reality Mathematics

Augmented reality is normally using 3D glasses or some sort of technology that allows three dimensional geometric construction tool specifically designed for mathematics and geometry education.  They help build spatail abilities which is an important component of human intelligence.  The main goal of geometry education is to improve these spatial skills.

PBS Kids has launched a free augmented reality math application for the iPhones and iPod Touch devices.  Designed for students in grades 1-3, the free multiplayer game uses the device's camera and overlaid graphics to create 3D imagery designed to reinforce early algebraic concepts.  Helping students make a connection between real objects and numeric symbols.

Here is the link to the application for the iPhone and iPod Touch http://itunes.apple.com/us/app/fetch!-lunch-rush/id469089331


Math to Spanish

There are many different ways as math teachers to make ourselves more accessible to all students.  When making yourself more accessible to the students, making an impact with Hispanic students is a tough thing to do, especially if they are ESL students and new to the school.  In this post, I will give you three resources that will help you make a deeper connections with the students.

http://www.123teachme.com/spanish_word_for/math is a site that teaches teachers different spanish phrases, for teachers to use during parent teacher conferences. (Even though there are only a few phrases it is still very powerful.)

http://www.enchantedlearning.com/languages/spanish/subjects/math.shtml is a site that relates numbers and math to words in Spanish.  There are many different numbers and symbols that are specific to Spanish heritage.  There are also pictures correlated to the words that make it easier to understand.

http://www.todos-math.org/resources is a resource guide for teachers to give students that incorporates many different links to pages that are dual language in English and Spanish.  There are many different manipulatives and books that students can use to get ahead in class. 

Clickers

Implementing clickers in the classroom is a great way to keep student engagement high and check for understanding constantly.  Some of the basics for clickers are featured below as well as tips and strategies for using them effectively in the classroom.


1. Keep slides short to optimize legibility.
2. Keep the number of answer options to five.
3. Do not make the questions overly complex.
4. Keep voting straightforward—systems allow complex branching, but keep it simple.
5. Allow sufficient time for students to answer questions.
6. Allow time for discussion between questions.
7. Encourage active discussion with the audience.
8. Do not ask too many questions; use them for the key points.
9. Position the questions at periodic intervals throughout the presentation.
10. Include an "answer now" prompt to differentiate between lecture slides and interactive polling slides.
11. Use a "correct answer" indicator to visually identify the appropriate answer.
12. Include a "response grid" so that students know their responses have registered.
13. Increase responsiveness by using a "countdown timer" that will close polling after a set amount of time.
14. Test the system in the proposed location to identify technical issues (lighting, signal interference, etc.)
15. On the actual day of the session, allow time to set out clickers and start system.
16. Rehearse actual presentation to make sure it will run smoothly.
17. Provide clear instructions on how to use the clickers to the audience.
18. Do not overuse the system or it will lose its "engagement" potential.
 
Clickers create discussion in peer discussion and you can expect learning gains in your classroom.  There are many different types of clickers you can purchase, such as SMART clickers and clickers for every day use.  Instructor opinions about clickers are featured below:

Better attendance, Less sleeping in class, Better classroom conversation, Active Participation, Better preparation for class


Pinterest


is an online pin-board, where you can organize and share things that you love.  There is a special part just for education.  http://pinterest.com/all/?category=education

There are many different sections you can click on there is one for technology, science and nature, and history.  I at least look at it once a day for different creative ideas that I can do with my students or something to make my classroom a little more organized.

I encourage you to join pintrest and help the education category have better selections especially for math teachers!!

Happy Teaching

Tips for SMART Notebook

Tips for designing effective lessons activities using SMART Notebook software.

  1. Include teachers' notes and lesson notes at the beginning of every lesson activity.
    1. Documenting learning objectives and key lessons details will help you focus your lesson activity during both design and delivery.  It also provides a clear overview of the lesson to others who may use the file.
  2. Use links to improve the flow of a lesson.
    1. You can significantly improve the flow and organization of your lesson by taking advantage of the linking capabilities in SMART Notebook software.  You can link any object on a SMART Notebook page to a web page, an external file, an attached document or another page in the same file.
  3. Attach supporting files to your SMART Notebook lesson before class.
    1. Take time during a lesson to navigate files you wnat to show can be awkward and distracting.  Your lesson can lose its momentum and students can lose their focus.  To avoid this, attach files, shortcuts and Internet links to the Attachments tab of your SMART Notebook file.  You can then open them with a single press.  Everyone remains on track, and no time is wasted.
  4. Use a consistent layout for lesson pages.
    1. Using a consistent layout for SMART Notebook pages helps your students know where to look for information and keeps them focused on important content.  SMART Notebook software includes several themes that you can use as templates, or you can create your own incorporating school colors, logos, and other objects.

Blogging on Blogging (BoB)

This virtual space is composed of three sets of weblogs, or blogs: a classroom web space, where announcements are displayed and work of common interested is posted; a public, personal communication zone, where students post the results of their work or reflection; and a private personal space, reserved for students’ thoughts and teacher guidance.

Links to different school blogs: http://supportblogging.com/links+to+school+bloggers


Uses for Blogging in Education:
  1. Teacher Communication
  2. Dialogue Generation
  3. Student Blogs
  4. Teacher Blogs
For students, blogging gives them a voice, creates enthusiasm for writing and communication, engages student conversation and learning, empowers students, and provides an opportunity to teach about responsible journalism.


SmartBoard Angles

On the following SmartBoard lesson, you must define oblique triangles using the eraser to erase away the white ink covering the words.  The lesson is also missing the protractor to find the angle measures of the two pictures.  A full lesson would include more angles and more pictures to find different angles.


Using real world objects, even taking pictures of the school or jungle gym outside is a great way to find obscure angles.


Smart Board Angles

Trigonometry Applications

When one studies mathematics in grade school, one is compelled by the mystic combination of numbers and symbols that fit together in perfect harmony.  The numbers and symbols that create and regulate rules and foundations of the universe itself is called arithmetic.  But most mathematicians are stumped with mysterious functions, known among most people as trigonometry.

There are many different areas that use trigonometry such as astronomy, geography, engineering, and physics.  Those are the most commonly used, but others such as surveyors, optics, chemistry, and the military uses it as well.

Some applications of trigonometry include GPS, force, distance between an object, how tall an object is, how far away an object is, and all sorts of use in physics and engineeering.



Some great resources are listed below:
http://www.clarku.edu/~djoyce/trig/
http://www.themathpage.com/aTrig/trigonometry.htm
http://www.maplesoft.com/applications/category.aspx?cid=155
http://illuminations.nctm.org/ActivityDetail.aspx?id=174

New Year, New Blog

The New Year is among us.

Math Techniques and Strategies will be reforming and used to help you!

Post anything you want covered in depth or anything new you want to hear about below.

This year Math Techniques and Strategies will make you the best teacher at your school with new resources, technology, and strategies to improve your students engagement and grades.