Category Archives: Math Resources

Math is often the subject that creates a block for student learning. Listed here are many links to helpful sites that will enable learning and tutoring at school and home for those that need a repeat or different way to look at the taught skills.

Calculators in the Classroom?

Calculators in the classroom is a constant debate.  However, the Partnership for Assessment of Readiness for College and Careers, aka PARCC, had created their own Policy.

 

PARCC Calculator Policy for
Calculator Sections of the Mathematics Assessments – Originally Released July 2012, Updated October 2014*

Allowable Calculators:

  • Grades 3-5: No calculators allowed, except for students with an approved calculator accommodation (see below)
  • Grades 6-7: Four-function with square root and percentage functions
  • Grade 8: Scientific calculators
  • High school: Graphing calculators (with functionalities consistent with TI -84 or similar models)Additionally, schools must adhere to the following additional guidance regarding calculators:
  • No calculators with Computer Algebra System (CAS) features are allowed.
  • No tablet, laptop (or PDA), or phone-based calculators are allowed during PARCC assessments.
  • Students are not allowed to share calculators within a testing session.
  •  Test administrators must confirm that memory on all calculators has been cleared before and after the testing sessions.
  • Calculators with “QWERTY” keyboards are not permitted.
  • If schools or districts permit students to bring their own hand-held calculators for PARCC assessment purposes, test administrators must confirm that the calculators meet PARCC requirements as defined above.Calculator Accommodations:For students who meet the guidelines in the PARCC Accessibility Features and Accommodations Manual for a calculation device, this accommodation allows a calculation device to be used on non- calculator section of any PARCC mathematics assessment. Four-function with square root and percentage functions are allowable for grades 3-5. Please refer to the allowable calculator list for other grade levels.If a student needs a calculator as part of an accommodation in the non-calculator section, the student will need a hand-held calculator because an online calculator will not be available. If a student needs a specific calculator (e.g., large key, talking), the student can also bring his or her own, provided it is specified in his or her approved IEP or 504 Plan.

    *Calculator specifications were released July 2012. One addition was made July 2014 to allow four function calculators with square root AND percentage functions. Additional guidance on allowable calculators for accommodations for grades was included September 2014. Additional clarification was added to the FAQs October 2014.

Frequently Asked Questions about PARCC’s Calculator Policy:

1. Can students use hand-held calculators for computer-based assessments?

Yes. For 2014-2015, students may use hand-held calculators on computer-based Mathematics PARCC assessments on sections where a calculator is allowable (grades 6 through high school), if they prefer. All hand-held calculators must meet PARCC requirements as defined in PARCC’s Calculator Policy.

It is recommended that schools identify which students prefer to use a hand-held calculator prior to administration to ensure that a sufficient number of calculators is available. Hand-held calculators are required for paper-based testing. Test administrators are responsible for ensuring hand-held calculators meet specifications, including ensuring the memory is cleared before and after administration.

2. Can students use their own calculators on PARCC assessments?

Yes. However, test administrators must confirm that the calculators meet PARCC requirements as defined in PARCC’s Calculator Policy.

3. Can students use calculators on PARCC assessments that are allowable for higher or lower grade level assessments?

No. In order to provide comparability across schools in the consortium, students must only use calculators that are allowable for their grade/course assessment. PARCC assessment items were developed with PARCC’s Calculator Policy in mind. Allowing for the use of a calculator that is designated for a lower or higher grade level assessment may unfairly disadvantage or advantage students and is, therefore, not allowed.

4. If a student takes an Algebra I course where a graphing calculator is used, but the student is taking a grade 8 PARCC assessment where a scientific calculator is used, which calculator should they use?

Calculator usage is assessment specific, regardless of the student’s grade level (e.g., a student who takes the assessment for a specific grade or course must use the calculator required by PARCC’s Calculator Policy for that assessment). In this example, the student should use a scientific calculator, since the student is taking the grade 8 PARCC assessment. A student taking the Algebra I assessment would use the graphing calculator for this assessment regardless of the student’s grade level. Schools should ensure students have ample opportunity to practice with the allowable calculator for their PARCC grade/course assessment.

5. Does my school have to buy new calculators?

Maybe. All schools participating in computer-based PARCC assessments will be provided an online calculator through the computer-based delivery platform. If a student chooses to use a hand-held calculator, he or she may either bring their own calculator or the school may provide the calculator. For paper-based assessments, all students in grades 6 and higher must have a hand-held calculator for the calculator portion of the assessment. Either schools must ensure they have a sufficient number of the appropriate calculators available or allow students to bring their own. All calculators must meet PARCC requirements defined in PARCC’s Calculator Policy.

Teachers need to make sure students know how to utilize calculators  for their success not for the test but for future classes and their careers.

Following are photos from Miss Watson’s 7th-grade class in Peoria, Illinois.  You can see that students are grouped or partnered, utilizing hands-on learning and graphing calculators.  Students are engaged, utilizing math vocabulary and higher-level thinking skills in order to encompass their learning.  Students are taking responsibility to fill learning gaps by learning from others.  Teacher is the coach and not the center of learning.  Changing to project-based learning in cooperative learning style using manipulative and calculators with the teacher as a resource will change the learning environment to productive experience for all involved.  ~Sandy

 

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DON’T LEAVE. WE JUST HAVE A NEW LOOK!

As the calendars moves forth, so do we at Passion In Education/The Bridge Virtual Academy.
Questions? Contact: scarl@passionineducation.com

LET IT GO. HAVE FUN TEACHING/LEARNING!

I love to listen to a teacher’s passion for teaching others.  Passion burns hot until others extinguish the flames.  Currently, I’m hearing ,”If we only had this or didn’t have to do that, we could reach the students.”  I love to hear students excited about what they are learning in schools.  From them, I currently hear, “This common core stuff is too much and no one knows what they are doing.”

I’m here to encourage you.  BE BOLD!  CREATE!   TEACH WHAT WORKS!  DEVELOP YOUR OWN LEARNING COMMUNITIES!  Follow the standards as we need common standards.  Educations needs to have the basis for what should be taught to most children at specific readiness point, but let’s move forth with what we know.  Children are sponges until they aren’t.  Teachers are excited until they are not.  We need to catch both while the fire is hot!  There is no time to waste.

Common Core carries a very poor connotation for something I believe we all really want to see happen.  Common curriculum across the United States in order that everyone have an equal opportunity for learning.  How did it get so blown out of whack in the eyes of teachers, parents and students?  If your child was moving from California to Florida as a third grade student, wouldn’t you want your child to be “on the same page” when they move to the new school?  I think yes!  Now what is good for the mass doesn’t mean that is all that should be available.  We still need to build in a support system for those with learning disabilities or a gap in their learning. We also need to provide fun, engaging opportunities for those that are ahead of the game.  I believe in flexible grouping based on a students previous knowledge and the learning goal, not necessarily based on age.

The other aspect of Common Core is to create connection between the learning and real-life problem solving.   Simply relate what you are teaching to how it will be seen in life.  Another aspect of Common Core is to teach to all the modalities by using hands-on approach to reach auditory, visual and kinesthetic modes.  Remember that no one has stated what or how teaching needs to be done at this point except the your own districts.

So, how do we get the fun and learning back into the classroom but stay on track?  Use your freedom at this time period to find the joy of the teaching/learning process for your students.  As your break approaches, look into ideas that will rekindle your flames and light the students back up!  Consider something like Whole Brain Learning, AIMS, College Prep Math, STEM or STEAM, Pinterest…

Following are some ideas to get your creative juices flowing:

Three basic techniques in whole brain teaching

The class yes, the teach OK and the scoreboard

In an article which I wrote for ajarn.com I introduced a wonderful system of teaching called “Whole Brain Teaching” (WBT) in which I outlined the fundamental techniques it uses. For those of you who have not read the article, WBT is a pedagogical approach which is based on current research into brain activity and how we learn. Not specific but very applicable to EFL , WBT uses techniques which activate both hemispheres of the brain – thus it is a “Whole Brain” approach.Traditionally education has focused on right brain activity – the reasoning, rational part of the brain. WBT techniques seek to make connections between this rational part of the brain and the left side of the brain which is concerned with creative activity . It is being proven more and more that an approach which integrates these two different activities of the brain leads to far more effective teaching. We will today look at three of the most basic techniques involved in WBT: “THE CLASS-YES”, “THE TEACH-OK”, and “THE SCOREBOARD”. These are three amazingly simple techniques you can quickly learn and immediately use to greatly improve your effectiveness as a teacher.What makes them especially useful in ESL classes is it gets the students talking in English , which is often problematic, especially here in Thailand. It is not necessary to implement all of the WBT techniques at once. You can choose to use just a few techniques,. I have however found the more techniques you use the better you and your students’ performance will be. It is important to note that of course when introducing a new technique to class that they understand what is expected of them. In addition you have to practice the procedures with them and get them to the point where they can do what you tell them on command. It doesn’t take too long. . Depending on your level of Thai you may at times need somebody to explain to the class in Thai what it is they are required to do. The directions are basically like rules to a game. WBT is very big on rules and has easy ways to get students to comply with them.TECHNIQUE ONE: THE “CLASS-YES” – “PLUG” YOUR BRAIN INTO THE BRAINS OF YOUR STUDENTS.The prefrontal cortex is nicknamed the “CEO” by scientists who do research into the human brain . It controls decision making, planning and is also responsible for the focusing of attention. The “CLASS-YES’ works like this: The teacher makes a decision to get the class’s attention. To do this the teacher is activating his/her prefrontal cortex by using the decision making function of that part of the brain. The teacher then says “CLASS” and the students respond by saying “YES” in unison. The students must say “YES” in the same tone of voice and in the same way that the teacher says “CLASS” – this is crucial.So if the teacher says “CLASS CLASS’ in a high whiny tone the students respond “YES YES” in a high whiny tone. The students, by mimicking the tone of the teachers voice, have now activated their own prefrontal cortexes by using its focusing mechanism. In a very literal sense the teacher’s brain is now “plugged into” the students’ brain. The “CEO” of teacher’s brain, exercising its decision making capacity, now has the attention of and is ready to instruct the “CEO” of the students’ brains, which are utilizing its focusing mechanism.

It is fundamentally the same type of relationship that would exist, at that moment, between the CEO of Pepsico and the CEO of KFC. (Pepsi owns KFC and I assume KFC takes direction form the parent company). The technique can be understood as a brain switch which readies the students for instruction. In Whole Brain teaching classrooms it is used whenever the teacher needs the class’s attention, which is of course quite often. This technique, like almost all WBT techniques,can be used from kindergarten to university and with adult classes. With children in addition to being a “brain preper” for instruction it an indispensable tool for classroom management. 

TECHNIQUE TWO: THE “TEACH- OK” – TEACHING ISN’T JUST FOR TEACHERS

Some of us may have come to Thailand just a bit unclear on the differences between the Present Perfect and Past Simple tenses, or between First and Third Conditional. I know I did. I also know that I could now tell you about fundamental English grammar in my sleep and I am sure, at least hope, that everyone reading this who has taught English for a few years can as well.

How did you learn this grammar so thoroughly? . You did it by teaching. This is the main idea behind the next crucial technique of WBT- the “TEACH-OK”. Research has shown, not surprisingly really, that students learn best when actively engaged in the teaching process. When students , using energetic gesturing, reteach to their partner what the teacher has just taught them they are activating five parts of the brain important to learning : the visual cortex (seeing gestures), motor cortex (making gestures), Broca’s area (verbalizing), Wernickes area (hearing) and the limbic system (giving emotional content). I will number the steps of the “”TEACH OK” to hopefully make it easier to understand and use.

STEP ONE – Divide your classes into pairs. You will want to group weaker students with stronger ones. I think two is the ideal number but if you have an odd number of students you will have to have at least one group of three. In this case put the best student in the class with the two who need the most help and ask the best student to take special care of the group. I have found that at first you may need several groups of three students if stronger students are hard to come by. However as time passes and you continue to implement WBT, you will see a more uniform level in your students ability. This is due to the fact you will be getting almost 100 per cent participation and the students lagging behind will begin to catch up with the others. 

STEP TWO – Micro teach with gestures. This means giving one small bit of information that the students will reteach to each other. It requires the teacher to be animated and use gestures as he or she teaches. As an example, if we were teaching the Present Perfect, the teacher would begin the process by introducing a very small bit of information such as “We form the present perfect with have or has.” After the students have learned this small bit of information you build on this idea. The following TEACH-OK segment would be ” We form the present perfect with have or has and verb three.”

We continue building so on and so forth until all the rules of present perfect have been taught or at least all the rules that we wish to cover . If this were a very advanced class the final installment of our look at the present perfect would finally build to up to the studetns teaching each other in pairs something like” The present perfect is formed with have or has plus verb three. It is used for both unfinished actions from a specific time in the past which are continuing into the present and with finished actions that have a relevance to present circumstances. Although it is used exclusively with already, just and yet in British English, these words can be be used correctly with both the Present Perfect and the Simple Past in American English.” I have used an extreme example here of a final “TEACH OK” mini lesson on the Present Perfect to make my point that we build to whatever level the dictates of the course demand, as opposed to giving a lot of information at once. 

STEP THREE – To recap steps one and two-we have divided the class into pairs and presented a small bit of information . Now it is time for the teacher to say TEACH! and his/her hands clap hands and have the students respond in the same tone of voice with the same number of claps with an OK! They then work with their partner taking turns reteaching what was just presented. the students are expected to use gestures as they teach each other. 

STEP FOUR – The teacher monitors the groups as the students teach each other. 

STEP FIVE – The teacher brings the “TEACH-OK” to a close with a “CLASS-YES”

STEP SIX – The teacher then continues with another bit of information building on the previous bit of information, or if it is time, change activities. 

Two other valuable tools which are often used during the presentation of a micro bit of information are the “HANDS AND EYES” and “MIRRORING.” These are related but separate techniques that will be elaborated on at a later date that augment the effectiveness of the presentation of information. If you just cant wait for the next blog visit www.powerteacher.net for an immediate explanation. 

I have not found a lot of information about EFL and WBT, although it is certainly being used for teaching foreign languages. In my past training I found an emphasis on getting students to use the language creatively. I have certainly done this in the context of WBT. Since I work with phratom students now the steps to creativity are very small but they are creative nonetheless.

For example during the presentation of information I may want the kids to practice using the question word “where.” I may drill the class as a whole by asking students a question like “Where is the dog?” trying to get them to think of places a dog might be. Often times kids will come up with something really silly like “The dog is on the sun.” I love this kind of response. It shows they have used the language creatively. In fact a kid told me when asked once “The dog is on the sun.” I quickly joked back with the question “Is he a hot dog?” and pretty much everybody got the joke.

That really shows that language acquisition was taking place with a group of phratom two students. Think about the implications of that- Phratom two students involved in the creation of and appreaciating a double entendre. Thats the power of Whole Brain Teaching at work. After the good laugh about the” hot dog on the sun” the kids were coming up with wacky places the dog was. During their ” TEACH OK”segment of “Where is the dog?” they seemed to be trying to outdo their partner with the craziest place a dog could be. This is proof of being able to use the language creatively which means real learning is taking place. 

TECHNIQUE THREE: “THE SCOREBOARD” – KEEP THE TEACHER HAPPY AND EVERYTHING IS SABAI.

The scoreboard is a central feature of the Whole Brain Teacher’ s classroom. It is an integral part of class management when working with younger students and is critical in keeping older students focused. It basically operates on good ole positive and negative reinforcement. It is simple to understand and use.

STEP ONE – On one side of the whiteboard draw a “Smiley face” next to a “Happy face.”

STEP TWO – Draw a line between the two faces creating a column under each face.

STEP THREE – When students are paying attention, and paricipating with gestures and you are happy with the way things are going put a check in the Smiley face column and have them cheer your approval by saying an enthusiastic “OH YEA” in unison (known as ‘the “MIGHTY OH YEA”). 

STEP FOUR – When student performance/behavior is not up to par put a check under the the Frowny face and have the students moan a a collective “OH NO” while wiping away an imaginary tear.

STEP FIVE – At the end of class add up the checks under the respective faces. More checks in the Happy face column means the class has earned some kind of reward (I usually use less homework as a reward) More checks under the frown face means a negative reinforcement (for me more homework).

IMPORTANT NOTE! Do not have a total of more than three checks in in the Frowny face column in excess of the number in the Smiley face otherwise the “SCOREBOARD” loses effectiveness. Students become resentful and lose interest in the “game.”

The “SCOREBOARD” works on the limbic system which is the part of the brain that controls emotional response. It is a powerful tool to keep order and keep things focused. In follow up blogs I will discuss “THE FIVE CLASSROOM RULES” which for the most part are used for class management issues with kids. The rules obviously relate closely to the “SCOREBOARD”. Remember though the “SCOREBOARD” is also used with older students to keep focus.

If I were teaching up university anywhere in the world I would have no qualms about using the “SCOREBOARD” as a fun way to give the class feedback about how well they were performing . That being said I would feel a little foolish walking into a corporate training class anywhere but sanook loving Thailand and drawing a Smiley face and Happy face on a whiteboard in front of a group of business executives and telling them to give me a “MIGHTY OH NO”.

I have taught all kinds of classes here in Thailand as well as a lot of corporate classes . Although I have not had the opportunity to use WBT in a corporate situation, my guess is all Thai students would play along with “THE SCOREBOARD.” Having been witness to a teacher leading a group of bank managers in a game of “Simon Says” I gotta figure you are on safe ground with “THE SCOREBOARD” in any class in Siam. (Simon says touch your butt hahahahah….true story).

These are the three most important techniques in WBT. Just these three simple things can greatly enhance your students learning as well as making your job a helluva lot easier and more enjoyable. There is a lot more to WBT but this can get you started.

Finally I want to underscore that these techniques are flexible and can be used in harmony with your own style and class goals/level. That is unless sadly you have an “I don;’t really give a damn” attitude. I think it is more easily adapted to animated lively styles of teaching but I personally think there is room for those of a more phlegmatic nature, however gestures must be used.

You look at professional athletes, say in a sport like golf or tennis, you will see that the pros are all pretty much adhering to the same set of fundamentals to swinging a club or racket. In spite of this commonality each player has his own unique swing. In the same way each teacher will have his own style in which he can adapt a given pedagogical approach to be the most effective teacher he or she can be.

It is my stalwart conviction that Whole Brain Teaching (or in our case here in Thailand “Ajarning”…lol..) is by far the most effective approach to accomplish this goal. Give WBT a try, you’ll love it and so will your students. Again to find out more about WBT visit the powerteachers website 

Happy teaching!

Here is where a creative teacher brought the popular game of Mine Craft into his math lessons.

6 Minecraft lesson ideas for your Common Core math class

From graphing paper to algebra puzzles, one teacher shares tons of practical lesson ideas for turning math class into “Mathcraft”

minecraft-mathLast year I taught third-grade math in a whole new way. Combining elements from the wildly popular sandbox game Minecraft, I had students thinking visually and creatively about mathematical models and theories that went way beyond a typical third-grade curriculum, transforming math class into what I like to call Mathcraft.

Why Minecraft? I could say I am using Minecraft for a number of reasons, like how I find Minecraft enhances metacognition by increasing students’ memory storage capacity. The game itself creates a relatable enjoyable experience that can be internalized and shared in a community of learners. The limitations on the working memory are minimized because the gameplay itself is an extension of our visual sketchpad. Working with students they always say, “I can see it,” and when they see it they share it.

However, the real reason I use Minecraft is that the students chose it. The popularity of the game is so overwhelming and when the lesson became the engagement their attention, confidence, and motivation soared. Here are six great ways to use it in your math classroom.

1. Let students create their world.
If you have an aggressive Minecraft class, you can put them in a single world and either let them all build it by themselves, or allow all the students to build a world together. Personally, I just open up a world in MinecraftEDU (which makes it easier for the teacher since you can do things like freeze the students and transport). I don’t use worlds that have already been created, opting instead to let the kids build their own. I use MinecraftEDU as my server runner and open up the superflat world. We start building and we end up with a crazy math city.

2. Create your own visual, conceptual math world.
I’ve tried to use base ten blocks before because they’ve got a lot of great conceptional knowledge, but they’re just a nightmare to use—to get them to fit in and take out, and with the kids always messing up each other’s blocks. But with Minecraft, the blocks are digital so the kids can’t mess each other up, if you know how to manage them, and the bonus is that the students are incredibly engaged. Then you can throw in the fun part. You can let them PvP (fight) and chase each other in their world. The structures they’ve just made make a lot of fun things to hide behind, like funky-looking trees based on prime factorization or stacks of blocks in patterns that represent long division. It’s kind of a conceptual math world.

3. You can use Minecraft, even without access to computers.
We were only able to play Minecraft in the computer lab twice a week but that was perfect because I just ran math class using Minecraft as the lesson on those days. On other days, we’d be doing similar things. The kids would have graphing paper and would make their models with colored pencils and crayons and we would play math. I was really trying to teach them how to read and write algebra and to look at math as a different language.

4. Minecraft is just one creative tool in the toolbox.
In my third-grade class, we did a lot of tracking and graphing slopes, and I turned it into a maker activity as well. We learned how to read rise over run, and how to build a slope in Minecraft. Then we chopped up a bunch of different cardboard boxes and made racecar ramps at different slopes around the classroom, and ran averages on how far the racecar would travel with each slope—and this was a third-grade classroom.

5. Let the dog drive—at least sometimes.
One way to get started is just to try a whole class lesson and to see how the kids respond to it. And be prepared to let the dog drive at times—meaning when the class is playing the game, let them take control and just play. Give them their time but take yours as well. If you need a jumping-off point to get started, look for Minecraft lessons online, or see mine on the website Educade. The Parthenon lesson I created is one example. It turns algebra into a puzzle and it gives students simple instructions on how to build something cool. (There’s also a video that explains why the formulas actually work).

6. Use Minecraft to help change your classroom culture into something students love.
By far the greatest effect Minecraft has had on my students was a change in the classroom culture and attitudes about education. When we were preparing for our benchmark test I gave them ten Common Core word problems for homework. When I put them on our Edmodo page, they got mad at me. Mathcraft—at least the way I use it in the classroom—is not all in a video game. There is a lot of reading and writing of algebra and word problems. Before, they used to complain and give up when they had to do similar problems out of textbook. But now my kids turned even that part of the curriculum into a game and can not put down the pencil.

Jim Pike formerly taught third grade at Ascension Catholic School in Los Angeles. He currently teaches a Mathcraft course at CodeRev Kids Learning Center in Santa Monica, CA, and is working on bringing Mathcraft professional development to teachers using online Minecraft servers.

 

Frozen-inspired coding is a very creative idea to hook students into their learning:

‘Let it Code’ with Frozen-inspired coding

Hour of Code initiative aims to help students, especially girls, get coding with real-world examples

code-codingOn Nov. 19, Code.org unveiled a computer science tutorial featuring heroines Anna and Elsa from The Walt Disney Company’s film “Frozen.” The tutorial kicks off the second annual Hour of Code campaign, a worldwide effort to broaden participation in computer science – especially by girls – during Computer Science Education Week, Dec. 8-14, 2014.

Thanks to Disney Interactive, students will learn to write code that enables Disney Infinity versions of Disney’s “Frozen” characters Anna and Elsa to draw snowflakes and snowmen and perform magical “ice craft” in Code.org’s signature lesson for the Hour of Code 2014. The tutorial aims to teach logic and math and nurtures creative thinking through introductory computer programming.

Role-model technologists and celebrities, including Polyvore CEO Jess Lee, Microsoft engineer Paola Mejia, app developer and model Lyndsey Scott, and model Karlie Kloss, provide short video lectures to guide students through the one-hour activity. Students will be able to share their artwork online or with friends through a unique link.

“As a parent, I know firsthand how excited kids are over Disney’s ‘Frozen,’” said Hadi Partovi, co-founder of Code.org. “Our entire team is grateful for Disney Interactive’s tireless support of the Hour of Code, which provides students an entry point into the world of creativity that opens up when they build technology for the first time.”

“Disney Interactive shares Code.org’s passion to unleash the creative potential within all of us and we’re proud that the Disney characters will help children grow and learn important skills,” said Jimmy Pitaro, president of Disney Interactive. “Computer science and coding literacy are vital to our children’s future and we applaud Code.org for making computer science education more widely available.”

Along with this collaboration, Disney is donating $100,000 to support Code.org’s efforts to bring computer science education to afterschool programs nationwide. Disney Interactive will host Hour of Code events for local students at their Los Angeles, Palo Alto, Seattle, and Kelowna, British Columbia offices.

The tutorial, “Artist with Anna & Elsa,” is Code.org’s newest addition to its online learning platform, Code Studio, designed to teach students the basics of computer science, starting as early as kindergarten. Code Studio is used in more than 50,000 classrooms.

Last year, Code.org launched the Hour of Code with a tutorial featuring artwork from Rovio’s Angry Birds, PopCap Games’ Plants vs. Zombies and video lectures by Mark Zuckerberg and Bill Gates. To date, 22 million students have tried the one-hour, introductory tutorial.

Students and teachers can try “Artist with Anna & Elsa” now at Code Studio: code.org/frozen.

 

Here’s another blogger sharing how Whole Brain Learning works for her:

http://www.teachingandlearningtogether.com/whole-brain-teaching.html

 

Here are ideas on pinterest of Whole Brain Learning:

http://www.pinterest.com/rbiondo/whole-brain-learning/

 

Happy planning!  Happy teaching!  Happy learning!

 

ENJOY!

~Sandy

 

 

Exciting News about SAT and KHAN ACADEMY!

Exciting news: We’re partnering with the College Board so that all students who want to go to college can prepare for the SAT at their own pace, at no cost.

The College Board just announced that they’re redesigning the SAT for 2016, and we’re partnering with them to make free, world-class prep materials. Know anyone preparing for the SAT?

By spring 2015, you’ll have access to state-of-the-art, interactive learning tools that give you deep practice and help you diagnose your gaps. All of this will be created through a close collaboration with the College Board specifically for the redesigned SAT. Stay tuned.

In the meantime, if you are taking the SAT in 2014/15, you can start practicing today with hundreds of previously unreleased Math, Reading, and Writing questions from real SATs and more than 200 videos that show step-by-step solutions to each question:

www.khanacademy.org/sat

Our goal is nothing short of leveling the playing field for every student taking the SAT, so please help us reach as many people as possible.

Share the Beauty of Mathematics!

How our 1,000-year-old math curriculum cheats America’s kids

By hiding math’s great masterpieces from students’ view, we deny them the beauty of the subject

Rubik's CubeYou can use a Rubik’s Cube to explain symmetry groups: Every rotation of the cube is a “symmetry,” and these combine into what mathematicians call a group. (Jeffrey F. Bill / The Baltimore Sun)
By Edward FrenkelMarch 2, 2014

Imagine you had to take an art class in which you were taught how to paint a fence or a wall, but you were never shown the paintings of the great masters, and you weren’t even told that such paintings existed. Pretty soon you’d be asking, why study art?

That’s absurd, of course, but it’s surprisingly close to the way we teach children mathematics. In elementary and middle school and even into high school, we hide math’s great masterpieces from students’ view. The arithmetic, algebraic equations and geometric proofs we do teach are important, but they are to mathematics what whitewashing a fence is to Picasso — so reductive it’s almost a lie.

Most of us never get to see the real mathematics because our current math curriculum is more than 1,000 years old. For example, the formula for solutions of quadratic equations was in al-Khwarizmi’s book published in 830, and Euclid laid the foundations of Euclidean geometry around 300 BC. If the same time warp were true in physics or biology, we wouldn’t know about the solar system, the atom and DNA. This creates an extraordinary educational gap for our kids, schools and society.

PHOTOS: From the Fed to GM, 5 top-tier women trying to fix man-made messes

If we are to give students the right tools to navigate an increasingly math-driven world, we must teach them early on that mathematics is not just about numbers and how to solve equations but about concepts and ideas.

It’s about things like symmetry groups, which physicists have used to predict subatomic particles — from quarks to theHiggs boson — and describe their interactions. Or Riemannian geometry, which goes far beyond the familiar Euclidean geometry, and which enabled Einstein to realize that the space we inhabit is curved. Or clock arithmetic — in which adding four hours to 10 a.m. does not get you to 14 but to 2 p.m. — which forms the basis of modern cryptography, protects our privacy in the digital world and, as we’ve learned, can be easily abused by the powers that be.

We also need to convey to students that mathematical truths are objective, persistent and timeless. They are not subject to changing authority, fads or fashion. A mathematical statement is either true or false; it’s something we all agree on. To paraphrase William Blake, mathematics “cleanses the doors of perception.”

What distinguishes us from cavemen is the level of abstraction we can reach. Abstraction enabled humans to move from barter to money, and from gold coins to plastic cards. These days, what’s left of “money” is often just an account record we read on a computer screen, and soon it could just be a line of code in a bitcoin ledger.

Today, abstraction is all around us — and math is the language of abstraction. In the words of the great mathematician Henri Poincare, mathematics is valuable because “in binding together elements long-known but heretofore scattered and appearing unrelated to one another, it suddenly brings order where there reigned apparent chaos.”

For the next generation to operate effectively, they must gain proficiency with abstraction, and that means mathematical knowledge plus conceptual thinking times logical reasoning — all things that a wider view of math would bring to the math classes at our schools.

I recently visited students in fourth, fifth and sixth grades at a school in New York to talk about the ideas of modern math, ideas they had never heard of before. They were young enough that no one had told them yet that math was impenetrable, that they wouldn’t get it. Their minds were still uncluttered with misconceptions and prejudice. They hadn’t yet been humiliated by poorly trained math teachers for making mistakes in front of their peers. Every question I asked them was met with a forest of hands.

I used a Rubik’s Cube to explain symmetry groups: Every rotation of the cube is a “symmetry,” and these combine into what mathematicians call a group. I saw students’ eyes light up when they realized that when they were solving the puzzle, they were simply discerning the structure of this group.

We next studied the majestic harmony of Platonic solids using dice. And I told the kids about the curved shapes (such as Riemann surfaces) and the three-dimensional sphere that give us glimpses into the fabric of our universe.

These are portals into the magic world of modern math, starting points as surely as addition, subtraction and fractions are starting points. The added bonus is that they give us a perfect antidote to the common perception of the subject as stale and boring.

Of course, we still need to teach students multiplication tables, fractions and Euclidean geometry. But what if we spent just 20% of class time opening students’ eyes to the power and exquisite harmony of modern math? What if we showed them how these fascinating concepts apply to the real world, how the abstract meets the concrete? This would feed their natural curiosity, motivate them to study more and inspire them to engage math beyond the basic requirements — surely a more efficient way to spend class time than mindless memorization in preparation for standardized tests.

In my experience, kids are ready for this. It’s the adults that are hesitant. It’s not their fault — our math education is broken. But we have to take charge and finally break this vicious circle. With help from professional mathematicians, all of us should make an effort to learn something about the true masterpieces of mathematics, to be able to see big-picture math, the way we see art, literature and other sciences. We owe this to the next generations.

If we succeed, we will stop treating this crucial subject as if it were the equivalent of painting a fence, and we will do away with the question, why study math?

Edward Frenkel is a mathematics professor at UC Berkeley and the author of “Love and Math: The Heart of Hidden Reality.”

Copyright © 2014, Los Angeles Times

http://www.latimes.com/opinion/commentary/la-oe-adv-frenkel-why-study-math-20140302,0,5177338.story#ixzz2vOAPb66a

Mathematics Adoption Announcement!

REL#14-6 CONTACT: Tina Jung
FOR IMMEDIATE RELEASE PHONE: 916-319-0818
January 15, 2014 E-MAIL: communications@cde.ca.gov

 

State Schools Chief Tom Torlakson Announces Adoption
of First Mathematics Materials Aligned to the Common Core

 

SACRAMENTO—School districts now have a list of more than 30 instructional materials to choose from that are aligned to the Common Core State Standards for mathematics, State Superintendent of Public Instruction Tom Torlakson announced today.

This comes after the State Board of Education completed the 2014 adoption of kindergarten through grade eight mathematics materials for California students. The list is attached.

“Today’s step keeps u­­s on track toward our goal of providing students the real- world skills they will need for college and career, in part through the Common Core,” Torlakson said. “These quality materials will help students achieve the proficiency in mathematics that California’s employers are looking for from this future workforce.”

Of the 35 instructional materials programs submitted for consideration from 17 publishers, the State Board of Education approved 31. Of these, 20 were Basic Grade-level programs, 10 were Algebra 1 programs, and one was an Integrated Mathematics 1 program.

Local school districts can now begin their own process of reviewing the materials to determine which of the adopted programs best meet the needs of their students. With such a wide variety of choices, including a number of technology-based programs, districts can tailor an instructional program that will help their students achieve academically. Districts may use some of the $1.25 billion in Common Core State Standards Implementation Funds to purchase the materials.

The adopted programs are on display for public review at Learning Resources Display Centers across the state. For more information about the 2014 Mathematics Adoption process, visit the California Department of Education Mathematics Instructional Materials Web page.

# # # #

2014 Mathematics Instructional Materials Adoption

Basic Grade-Level Programs 

Publisher

Program Title

Grade Level(s)

1.      Agile Mind Common Core Middle School Mathematics

6–8

2.      Big Ideas Learning Big Ideas Math

6–8

3.      Center for Mathematics and Teaching Math Links

8

4.      College Preparatory Mathematics Core Connections, Courses 1-3

6–8

5.      Edgenuity, Inc. Edgenuity California Common Core Mathematics

6–8

6.      Houghton Mifflin Harcourt Go Math!

K–6

7.      Houghton Mifflin Harcourt Go Math!

6–8

8.      Houghton Mifflin Harcourt Math Expressions

K–6

9.      Houghton Mifflin Harcourt Math in Focus

K–8

10.   McGraw-Hill California Math, Courses 1-3

6–8

11.   McGraw-Hill Glencoe Math Accelerated

7

12.   McGraw-Hill McGraw-Hill My Math

K–5

13.   Pearson Common Core System of Courses

K–8

14.   Pearson CA Digits

6–8

15.   Pearson Scott Foresman enVision Math

K–6

16.   Perfection Learning Kinetic Pre-Algebra

8

17.   Reasoning Mind Reasoning Mind Algebra Readiness Program

2–6

18.   The College Board SpringBoard Mathematics

6–8

19.   TPS Publishing, Inc. Creative Core Curriculum for Mathematics with STEM, Literacy and Arts

K–8

20.   Triumph Learning Common Core Math Curriculum

6–8

 

Algebra 1 Programs

Publisher

Program Title

Grade Level(s)

1.     Agile Mind Common Core Algebra 1 Mathematics

Algebra 1

2.     Aleks Corporation CA Algebra 1

Algebra 1

3.     Big Ideas Learning Big Ideas Algebra 1

Algebra 1

4.     College Preparatory Mathematics Core Connections Algebra 1

Algebra 1

5.     Houghton Mifflin Harcourt Algebra 1: Analyze, Connect, Explore California

Algebra 1

6.     JRL Enterprises I CAN Learn Algebra 1

Algebra 1

7.     McGraw-Hill Glencoe Algebra 1

Algebra 1

8.     Pearson CA Common Core Algebra 1

Algebra 1

9.     Perfection Learning Kinetic Algebra 1

Algebra 1

10.  The College Board SpringBoard Mathematics Algebra 1

Algebra 1

 

Integrated Mathematics 1 Programs

Publisher

Program Title

Grade Level(s)

1.     Pearson Common Core Integrated Math 1

Math 1

 

Instructional Materials Not Adopted 

Basic Grade-Level Programs

Publisher

Program Title

Grade Level(s)

1.     JRL Enterprises I CAN Learn Basic Math

5–8

2.     Marshall Cavendish Primary Mathematics Common Core Edition

1–3

3.     McGraw-Hill Connecting Math Concepts

K–4

Algebra I Programs

Publisher

Program Title

Grade Level(s)

1.     Revolution K12 Algebra 1

Algebra I

# # # #

The California Department of Education (CDE) is a state agency led by State Superintendent of Public Instruction Tom Torlakson. For more information, please visithttp://www.cde.ca.gov or by mobile device at http://m.cde.ca.gov/. You may also follow Superintendent Torlakson on Twitter at http://www.twitter.com/TorlaksonSSPI.

 

7 Board Games That Teach Math Skills (and are actually FUN)!

By: Samantha Oestreicher, guest writer

Editor’s note: Samantha is a college math teacher who also writes a blog entitled, “Social Mathematics.” She offered to share some of her expertise with us here at Engaged Family Gaming and we couldn’t pass it up! Read on for some excellent examples of board games that teach math concepts without being all “teachy” about it!

There is a lot of pressure from the media and from peers to believe that math is painful. Sometimes adults try to dress up mathematics to make it look like“a game”. As a gamer, I have been really disappointed in these dressed up math practice games because they miss the point of what a game really is. Instead they are loosely veiled attempts to manipulate kids to use math in a “fun” way.

All is not lost though, great games do exist that use mathematical thinking and math skills. The following is a list of fun games that can inspire mathematical thinking. I have compiled a list of seven wonderful board games for gaming families which can be enjoyed by parent and child alike which also include mathematical thinking.

  1. Set 5+ (grouping/sorting)

Set is an amazing card game! This is a game that your 6-year-old will be better at than you are. I’m not kidding; kids totally rock this game. This is a matching game that can be played solo or with any sized group. The rules are relatively simple. The cards each have a certain number of shapes on them of a particular color and pattern. A set is three cards which all have the same type of an attribute or miss-match an attribute. Perhaps a set is three cards all have ovals with a striped pattern on them but each card has a different number of shapes (1, 2, and 3) and different colored (purple, green and red). Pro tip: Sometimes there isn’t a set available in the cards on the table. When I play set with undergraduate math majors I ask them to prove to me why there isn’t a set. Challenging older kids to explain why is excellent mathematical practice! This game fits in your purse or stroller and is perfect for a quick distraction and only requires a small table (or floor) of space.

  1. Rummikub 7+ (Numerals/grouping/relationships)

Rummikub is a 2-4 player classic game with lots of tiles to play with and sort. While Rummikub is also about color/number matching, it is more advanced than Set because you can re-organize the board. The matching rules are similar to Set, but now all the collections of tiles stay out on the table and you can steal from already created collections to make a new one. Worst comes to worst, the tiles are fun to play with and you can build things with them! This is a great game to play at home or at the end of the day on a vacation.

  1. Connect Four 7+ (planning/pattern recognition/Loud pieces!)

Every family needs a noisy, clattering, pieces-get-everywhere kind of a game. Connect Four is a childhood classic that supports geometric thinking, planning and pattern recognition. It is a two player game and great for two children to play together. Basically, Connect Four is an advanced version of tic-tac-toe. I do not recommend taking this game out of your home as you will surely lose pieces. This is a great game to entertain the kids while you are finishing dinner or something.

  1. 20 Express 8+ (consecutive numbering/planning)

This game is great for parents to play with your kids! It’s a number game which focuses on consecutive ordering. The scoring may take parental involvement as it is a little weird at first sight. However, the cool part about this game is that everyone tries to organize the same numbers at the same time. So you, as a parent, can compare answers with the other players. “Oh, that was a good choice, I didn’t think to do it that way!” The only negative to 20 Express is that it obviously uses math and that may turn off some kids. This game is good for traveling as it doesn’t require a central table and any number of people can play at once. Each player just needs a pen and something to write on.

  1. Ticket To Ride 8+ (counting/planning)

This game is really fun! It is a time commitment (maybe an hour once everyone knows the rules) and requires a big table. There are lots of little train pieces that you get to place on the board when you build railroad tracks between cities on the map. I don’t recommend this game if you have a cat or child who likes to jump on the table and mess up the board. This 2-5 player game requires business optimization similar to operations research. There is no money, but you have to collect cards which include restrictions on where you are allowed to build. This game requires a longer attention, but is full of bright colors and will definitely be just as fun for the parents as the children!

  1. Rush Hour 8+ (problem solving/ spatial awareness)

Rush Hour is one player, portable, colorful, and mentally wonderful. The board is small and packed with vehicles which have set directions that they can move. The goal is to move the vehicles in a particular order to get the little red car out of the traffic jam. A negative is that every piece is important. Don’t lose them! This game is great for waiting rooms or car trips as it comes with its own board and it small enough to hold in a child’s hand or lap.

  1. Sumoku 9+ (addition/multiplication)

Sumoku is a math-centric game for 1-8 players. Think of it as Scrabble/Bananagrams for numbers. You add to the existing tile layout based on a specific mathematical goal. For example, every row must add to a multiple of 3. This is a great game to support a young mathematical thinker because along with practicing basic computational skills, the player is also planning and matching. Unlike Bananagrams, there is no element of speed, so young players may take as long as necessary to check their math before they place their tiles. Like 20 Express, this game obviously uses mathematics. But, I believe Sumoku is interesting and dynamic enough to provide entertainment to the whole family. This game is easy to transport and requires a central table.

My recommendation is that, if you only buy one of these games, get Set. Then I would pick up Ticket to Ride. After that your choices should depend on you and your children’s interests. And remember that your involvement always improves the quality of the game. Mathematical thinking requires self reflection and the ability to collaborate. Challenge your kids to explain why they made a particular choice or ask them to help you with your move.

Happy Gaming!

Math Games at Home

Looking for educational and fun computer games for children?

Here are a few links:

  • http://www.ixl.com/math/
  • http://www.coolmath4kids.com
  • http://www.mathplayground.com/games.html
  • http://www.hoodamath.com/games/
  • http://www.softschools.com/math/games/

Don’t let their brains turn to mush.  Brains need exercise just like bodies needs exercise!  Use this break to help students catch up or get ahead with math practice!

GO GO GO!

 

LEARN ABOUT CPM – College Preparatory Mathematics

  •  http://www.cpm.org for more information

CPM Educational Program is an educational non-profit organization dedicated to improving grades 6-12 mathematics instruction.

CPM offers professional development and curriculum materials.

CCA

CPM Educational Program strives to make middle school and high school mathematics accessible to all students. It does so by collaborating with classroom teachers to create problem-based textbooks and to provide the professional development support necessary to implement them successfully.

CPM (College Preparatory Mathematics) began as a grant-funded mathematics project in 1989 to write textbooks to help students understand mathematics and support teachers who use these materials. CPM is now a non-profit educational consortium managed and staffed by middle school and high school teachers that offers a complete mathematics program for grades six through 12 (Calculus).

CPM provides:

    • Professional development programs for CPM and non-CPM teachers
    • Curriculum materials (standards- and researched-based) that use problem-based lessons, collaborative student study teams and spaced practice with course concepts.
    • Learning strategies that are consistent with the CCSS “Standards for Mathematical Practices” and other models such as the strategies identified as effective by Dr. Robert Marzano at McRel.
  • CPM courses are used in 35 states. In the past 20 year more than 5,000,000 students have taken CPM courses and more than 10,000 teachers have attended CPM professional development workshops. CPM opens its workshops at no cost to everyone: teachers, administrators, ELL educators, student teachers, and parents. In a typical year workshops are held at about 40 national sites and one or more international sites such as Hong Kong. CPM teachers, current and retired, lead the seven days of implementation workshops that begin in the summer and continue during the school year. Additional workshop support, various coaching models and individual mentoring are available by contracting with CPM.