How long should I allocate for Rocket Math daily?

Jessica asks:

As I am planning my daily schedule I am looking for how long I should set aside for Rocket Math each day.  What do you suggest?

Dr. Don answers: 

If you allocate 15 minutes a day for Rocket Math that will be enough.  You might have trouble meeting finishing that quickly in the beginning before the routine is established.  But once the routine is set there is no need to take more time than that–each partner of the pair is practicing for 2 to 3 minutes and the test takes only one minute.  Don’t try to have everyone correct their partners papers as that will take too long.  Making sure that students practice every day with their partner is critical to success, so anything that makes you feel “we don’t have time for Rocket Math today” is harmful to student learning.

The other key is to be sure to teach students how to practice with each other.  If you can train your students to correct hesitations you will accomplish a lot with your Rocket Math practicing time.  Please take a look at my video on “How to teach students how to practice.”   Take the time allocated to Rocket Math for the first several days of school and follow this teaching procedure.  It will pay off for you all year long in improved learning during Rocket Math time.

Learning Addition Computation quickly and easily

Rocket Math adds something new: Addition—Learning Computation

After becoming fluent with addition facts the best way for students to retain the knowledge of those facts is by doing addition computation. Rocket Math has added a new program to the Universal Subscription that teaches addition computation.  If students have not been taught addition computation, this program breaks it down into small, easy-to-learn steps that are numbered in a teaching sequence that leaves nothing to chance.  There is an placement assessment that can be given to figure out where the student should begin in the sequence.

Note that the number for each skill gives the grade level as well as indicating the teaching sequence.  Skill 2a is a 2nd grade skill and after skill 2f is learned the next in the sequence is skill 3a.  The sequence of skills is drawn from M. Stein, D. Kinder, J. Silbert, and D. W. Carnine, (2006) Designing Effective Mathematics Instruction: A Direct Instruction Approach (4th Edition) Pearson Education: Columbus, OH.

(1b) Adding 1-, or 2-digit numbers; no renaming

(2a) Adding three single-digit numbers

(2b-c) Adding 3-digit numbers; no renaming

(2c) Adding 3-digits to 1 or more digits; no renaming

(2d) Adding three 1- or 2-digit numbers; no renaming

(2e) Adding two 2-digit numbers, renaming 1s to 10s

(2f) Adding 3-digit numbers, renaming 1s to 10s

(3a) Adding a 1-digit number to a teen number, under 20

(3b) Adding two 2- or 3-digit numbers; renaming 10s to 100s

(3c) Adding 3-digit numbers; renaming twice

(3d) Adding three 2-digit numbers; renaming sums under 20

(3e) Adding four multi-digit numbers; renaming, sums under 20

(4a) Adding a 1-digit number to a teen number, over 20

(4b) Adding three 2-digit numbers, sums over 20

(4c) Adding four or five multi-digit numbers, sums over 20

For each skill there is a suggested Teaching Script giving the teacher/tutor/parent consistent (across all the skills we use the same explanation) language of instruction on how to do the skill.  The script helps walk the student through the computation process.  For the teacher, in addition to the script, there are answer keys for the five worksheets provided for each skill.

Each worksheet is composed of two parts.  The top has examples of the skill being learned that can be worked by following the script.  After working through those examples with the teacher the student is then asked to work some review problems of addition problems that are already known.  The student is asked to do as many as possible in 3 minutes—a kind of sprint.  If all is well the student should be able to do all the problems or nearly all of them, but finishing is not required.  Three minutes of review is sufficient for one day.

There are five worksheets for each skill.  Gradually as the student learns the skill the teacher/tutor/parent can provide progressively less help and the student should be able to do the problems without any guidance by the end of the five worksheets.  There are suggestions for how to give less help in the teaching scripts.  Thumbnail previews can be found here.

Do you know how to make Rocket Math enjoyable?

Doing Rocket Math ought to be one of the highlights of the school day.  If done correctly students should really enjoy daily practice, getting better, learning to go fast on facts.  Find out if you (or your staff) know just how to do that by taking the new 20 question Quiz that Dr. Don has posted onto the website.  You can find it on the website under Resources/Educator Resources as well as on the link in the previous sentence.

New tricks!  There are some secret things in the quiz that are not even in the directions!  There are tricks of the trade–ideas that have been put into blogs, which are part of the 20 item quiz.  Some of these tricks were not known at the time of  the original  Teacher Directions, which are still a good source of info about how to do Rocket Math.

Dr. Don recommends that you print out a copy of the answer key here.  Then after you give the quiz to the staff, you can discuss the correct answers using the answer key.  This is a great activity to engage all your staff, new and old, in a discussion of how to implement Rocket Math.  Care in the implementation makes a lot of difference in how much students enjoy the experience and how successfully they learn.  Remember, that the best motivator is success, so enabling success for all students is the key!

As always, if you have a question feel free to call Dr. Don at 888-488-4854.  His favorite thing to discuss is implementation of Rocket Math.

Do too many of your students hate math?

We want your students to have fun during math.

At Rocket Math we believe that students should enjoy math.  And we know that what students enjoy is going fast!  They enjoy being able to slam through a page of math facts or even a page of computation quickly and easily.  We know that students are motivated by a sense of accomplishment and a sense of competence.  They love getting “good” at math.

Practicing math facts until they are fully memorized is NOT a quick fix.  It takes time and dedication on the part of the teacher and the student.  But done right, within a matter of weeks both parties begin to see a difference.  Students say things like, “I can do this!”  or “I’m good at math!” when they see themselves succeeding and working through the multi-month process of learning all the facts in an operation.

As one of our teacher friends said, “I always start my math class with facts practice now, because it gives my students a sense of accomplishment, of success right off the bat.”  Let’s face it, practicing math facts, even with a partner, is not intrinsically interesting. It is true, that if it is not done right, students will not make progress.  But if it is done the right way, students learn, get good, pass small milestones and can begin to see progress.  Seeing progress gives students a sense of accomplishment and they love it.

Too many educators suggest that the way to get students to enjoy math is to avoid dull topics like math facts or computation.  Instead they want to immediately dive into complex, real-world, authentic, head-scratching-type problems that take even a committee hours to figure out. For most students that is not enjoyable.  It is painful.  And those students tend to avoid math or say they aren’t any good at it.

Done the right way, students can learn and become proficient with math facts and computation.   I know it seems counter-intuitive that developing skill and fluency with basic math facts and computation would help students come to enjoy math more.  But maybe you ought to consider it, because for decades we’ve been doing the opposite.  The results show that very few American-educated students major in math in college.  Maybe if we helped them feel like they were “good” at the beginning levels of math they might stick with it.  Just sayin’

Learn to add and subtract in first grade with fact families

A number of math programs around the country introduce math facts in families.  Now Rocket Math does too!

A fact family includes both addition and subtraction facts. You can see to the right 25 examples of fact families such as Set A; 3+1, 1+3, 4-1 & 4-3.  The sheet shows the sequence of learning facts in the new Rocket Math  program Fact Families 1s-10s (+, -).  Each set that students learn from A to Y adds just one fact family to be learned, so it isn’t too hard to remember.  (That’s the Rocket Math secret ingredient!) 

Learning math facts in families, is gaining in popularity these days.  Logic suggests that this would be an easier way to learn.  However, the research is not definitive that this is easier or a faster way to learn facts than separating the operations and learning all addition facts first and then learning all subtraction facts.  But learning in fact families is a viable option, and I wanted to have it available for Rocket Math customers.

Flash news!! Someone looking for a master’s or doctoral thesis could do a comparative study of students using the fact families vs. the separated facts in Rocket Math. This could easily be a gold standard research study because you could randomly assign students to conditions within classrooms–the routine is the same for both–just the materials in their hands is different!  Just sayin’…

I separated out the 1s through 10s facts from the 11s-18s, because this seemed enough for one program.  It would be a good and sufficient accomplishment for first grade.  I have heard that some first grades prefer to keep the numbers small but to learn both addition and subtraction–so this program accomplishes that.

I added Fact Families 1s-10s (+, -) to the Universal subscription in April of 2017 bringing the total number of programs in the Universal subscription to 14 (the basic four operations and ten more!).  By the fall of the 2017 school year I should have the rest of the Fact Familes in addition and subtraction available.  [In time for you to do that gold standard research study!]  The rest of the addition and subtraction fact families, which students could learn in 2nd grade, would be the Fact Families 11s-18s (+, -).  As always, new programs are added to the Universal subscription without additional cost as soon as they are available.

I most sincerely want students to be successful and to enjoy (as much as possible) the necessary chore of learning math facts to automaticity. Please give me feedback when you use this new program, Fact Families 1s-10s (+, -),  as to how it goes for the students.

Why is a gifted student having trouble with Rocket Math?

Question: Hi, Dr. Don! Just had a question recently from a parent of a gifted child whose son is having a lot of difficulty doing Rocket Math! He understands almost everything conceptually in math (in the 99% on national testing) but he is not being successful working with a partner on his math facts. Have you had this problem in other places? I’m not sure if the problem is he really can’t focus on the facts, he’s stubborn and doesn’t like details (big picture thinker), etc. He’s a very social kid so the partnering doesn’t seem to be the problem. I would greatly appreciate any suggestions you might have that I could give this mother. She says that he is fine at home doing his facts with her without a timer. But I don’t like the idea of excusing any student from doing this valuable practice. Thanks for your thoughts. Linda

Answer: I’ve blogged a bit on some of these issues elsewhere on the Rocket Math website, but let me try to be more specific here. First, gifted kids are stunned to find out that they have to work hard to memorize math facts. They probably need three or four days of practice—which to them seems like failure.  They are like an athletic kid who excels easily at every sport but finds he needs to work out with weights as much as a klutz to get to be able to lift heavy weights—his natural talent doesn’t help in this instance. So kids who’ve never had to work to learn things before, really are annoyed by having to practice several days in a row.  But it is really good for them!

How is mom practicing with him at home? Can she video him doing the test “untimed?”  If the child is “writing facts” and “without a timer” then he may be figuring out facts over and over—but is not getting to instant recall. That’s why the oral peer practice is so critical—if there is even a slight hesitation the child is to repeat the fact three times, back up three problems and come at it again—until the answer comes with no hesitation. There is a fundamental difference between instant recall of facts from memory and strategies to come to the answer by thinking it through. My parent letter addresses how to practice.  On the other hand, if the student is able to write the answers to math facts at a fast enough rate to complete 40 problems in a minute, but only when he thinks he is not being “timed” then he needs to learn how to do the same thing when he is being timed.

If he is not learning with the daily practice, we have to ask, “Why not?”  Social kids sometimes socialize instead of practicing. Social kids also can convince their partner not to do the correction procedure. Or they just say the answers instead of the whole problem and the answer. Any of those things would result in not successfully learning the facts. The teacher would need to monitor the quality of the practice. My experience has been that when students are “stuck” or “having difficulty” even just one session of practice done the right way rigorously (with me) and they suddenly improve enough to pass or to recognize they can pass the next day with another session of rigorous practice.

Last of all, sometimes the writing goals are off because of some glitch in how you gave the writing speed test.  So the student might know the facts well enough but not be able to write them fast enough to pass the tests.  If the student can answer 40 facts in a minute in the current set (just saying the answers without having to say the problems) then the facts are learned to automaticity—and the goal in writing should be lowered to whatever the student has done to this point.

Hope this helps. You are right not to excuse this student from learning math facts to automaticity. He might be a stellar mathematician someday if he learns his facts well enough that math computation is always easy for him. If math computation remains slow or laborious he won’t like it enough to pursue it as a career.

Without the directions you may get lost!

What happens when teachers don’t have a copy of the Rocket Math Teacher Directions?  Bad things!  

When teachers don’t have the written directions to Rocket Math, the essence of the program usually gets lost.  Procedures get modified and modified over the years until they are not even close to what should be occurring. Sometimes we have found schools that are not even providing daily oral practice.  Other schools don’t give the answer keys to the peer tutors.  Other schools don’t give the writing speed test and make up impossible-to-reach goals for students.  We often see teachers implementing the “Rocket Math” program incorrectly and wondering why it doesn’t work.  We ask them if they have read the teacher directions, and they say they didn’t know there were any.  When teachers have never seen the directions, is it any wonder they don’t know what they are supposed to be doing?  Hear-say directions handed down over the years from one teacher to another just don’t convey all the important details.  Teachers need the directions!

This is why I’d like you to have my complete directions for free. Even if you purchased Rocket Math ten years ago and haven’t gotten the updated versions since then, you can have these directions for free.  I have them in three places.  I have the directions broken out into FAQs on their own web page here.  That’s easy for quick reference.

The second place I have the Teacher Directions is as a downloadable booklet you can print out and distribute.  The Rocket Math Teacher Directions for the worksheet program booklet is here.   Please print this out and give to your teachers, especially in schools that began implementing several years back.  Read them and have a discussion at a professional development time.  You will be astounded at how much your implementation differs.

The third place I have the Teacher Directions is in the “filing cabinet on the web” for those of you who have the subscription. In the “Forms and Information” drawer we have the booklet and the FAQs which can be opened and printed out.

In school-wide implementations of Rocket Math, principals or math coaches need to take a leadership role.  The Administrator and Coach Handbook gives you forms with what to “look-for” in a Rocket Math implementation.  If you use that to observe Rocket Math in your classrooms you’ll quickly see whether or not things are going the way they should.   If you have a subscription to Rocket Math you’ll find all of the chapters of the Administrator and Coach Handbook in the “Forms and Information” drawer of our filing cabinet on the web.

Please take the time to see that you or your teachers are implementing Rocket Math according to the directions.  Trust me, it works SO MUCH BETTER if you do.  I wouldn’t steer you wrong!

 

Rush help to those who need it with an aimline

The sooner you provide extra help the easier it will be to catch them up.  

How can you know when students need help to meet expectations?  Use the graph above, which is available from the Educator’s Resources page or here: One Semester Aimline.  It is also available in the basic subscription site, Forms and Information Drawer as an optional form. It is an “aimline” for finishing an operation (Sets A-Z) in one semester.  Schools that don’t start Rocket Math in first grade need students to finish addition in the first semester of 2nd grade and subtraction in the second semester.  This means that students who get stuck on a level for even a week need to be helped.

If you indicate on this graph the week in which the student finishes each set in Rocket Math you can tell if the student is making enough progress, or if he/she needs to be getting extra practice sessions each day. If the student is working on a set above the line of gray boxes or on the line then progress is adequate–they are on track to finish the operation by the end of 18 weeks of the semester.  But if the student is working on a set that is below the line that means he/she needs intervention.

In the example above the student whose progress is shown in red is above the aimline.  That student has been passing at a rate that means he or she will finish the operation by completing Level Z by the end of the semester.  That student does not need any extra intervention.  In the example above the student in blue is falling behind.  By the fourth week that student has only passed Level C and so he needs to have extra help.

The first step would be to ensure this student has a good partner and is practicing the right way.  Sometimes students don’t stay on task or do not listen and correct their partner.  If hesitations are allowed (while the student figures out the answer) and not corrected the student will not improve.  Fix the practice in class first and see if the rate of passing improves and the student starts to get up to the aimline.

The second step is to include this student in a group of students who get a second practice session each day.  They would work in pairs and do another Rocket Math session each day.  Whether or not they take tests is unimportant.  What is important is that they do the oral practice with a partner who corrects their hesitations as well as their errors.  This could be done by a Title One teacher or assistant or a special education teacher or assistant.  It should only take ten minutes.

Another step is to involve parents if that’s possible.  Another practice session (or two) at home each evening would make a big difference.  Parents will need to know how to correct hesitations, but there’s a parent letter in the Forms and Information drawer for that.  Also note that siblings can do this practice as well, as long as they have an answer key.

You will be pleasantly surprised at how an extra few minutes a day of good quality practice can help students progress much faster at Rocket Math.  The sooner you intervene, the easier it will be for the student to catch up.

NOTE: There is an aimline for finishing one operation in a year.  It is also in the Forms and Information drawer and on the Educator’s Resources page of our website.  If you follow recommendations and do addition in first grade, subtraction in second, and multiplication in third you can use that aimline.  It won’t require intervening on so many students.

 

 

Developing test-taking strategies into habits.

Three important test-taking strategies that Rocket Math will turn into habits.

(1) Perseverance Pays Off

Students really need perseverance to get through today’s tests.  You want your students to really work hard and do their best! To have that kind of perseverance students need to KNOW that it pays off.  Sticking with learning and testing over and over until they win is a central lesson of Rocket Math’s daily practice and tests.  Most days, most students do NOT pass the One-Minute Daily Test.  They have to practice some more and try again the next day.  If they try hard and do their best on each day’s test, eventually they do pass.  This teaches perseverance like nothing else in the curriculum!

 

 

(2) When taking a test, work as fast as you can.  

Students doing Rocket Math learn that to be successful you have to work as fast as you can.  Their individualized goals require that they write answers as fast as they can write.  Students who pause to look at the clock or look around the room during the one-minute test simply do not pass.  This may be the only time of the day that students experience the need to work quickly and they get immediate feedback based on whether or not they do work quickly–and it is something they care about!  So they are motivated to work quickly.  It is important for students to have that kind of experience if they are to learn the general rule that you are supposed to work as fast as you can when taking a test.  

 

(3) Skip what you don’t know  

Have you ever watched a student waste valuable time working on a test item you knew the student wouldn’t be able to answer?  Nothing more painful.  Students need to learn to skip the items to which they don’t know the answer readily.  How are they going to learn that without practice?  Rocket Math has a progress-monitoring component–a weekly 2-minute timing you can see to the right. These weekly tests sample all the facts in the operation, including ones they haven’t memorized yet.  Therefore the strategy they should use is to skip the ones they don’t know yet, so as to answer quickly all the ones they do know.  If you explain this to the students, and they can develop this strategy while taking these weekly tests.   

If you aren’t sure that your implementation is developing these habits please feel free to download the  Teacher Directions.   If you have a school wide implementation of Rocket Math be sure you have the Administrator and Coach Handbook.