Rebecca Zook - Math Tutoring Online

Have you ever been working with your kid on a math problem and they just throw a number at you out of nowhere?

When this happens to me, I usually ask diplomatically, “Is that a guess?” or make the observation, “That sounds like a guess,” with a little smile.

The thing is, guessing is a super powerful problem solving technique – but most kids don’t realize that there are different kinds of guessing, and that certain kinds of guessing can move them forward confidently, while others can throw all of their hard work out the window.

Let’s break it down.

1. The first, and least helpful, kind of guessing is WILD GUESSING.

WILD GUESSING is NOT a helpful kind of guessing. It’s like if someone asks you what the capital of New Jersey is and you just open your mouth and name any geographical location that comes to mind. (“Poughkeepsie, Montreal, the Cote D’Azur…”)

Sometimes wild guessing happens at the beginning of a problem, when a student doesn’t know how to get started, so they just start doing random operations with the numbers in the problem. (“Hm, I have no idea what to do, there is a 5 and an 8 in the problem, let me multiply them together, then at least I have ‘done something’…”)

For some reason it also tends to happen when a student is almost done with the problem – usually almost at the very last step – and for some reason, instead of actually doing the tiny bit of work remaining, they’ll just throw a number out there.

This kind of WILD GUESSING – whether with guessing a number or just doing random operations – is important to recognize, because it usually means the student is not connected to what is going on in the math.

2. Another completely different kind of guessing is ESTIMATING. This is a great way to quickly predict an answer and then be able to confirm at the end of the problem whether or not you’re in the right ballpark, or if you made a calculation/computation error and are way off.

Frequently, estimating involves rounding the numbers and then making a mental calculation, before you dive into the nitty-gritty EXACT computation.

Estimating is a powerful tool and also a great way to practice mental math!

3. The third kind of guessing is DELIBERATELY TESTING A HYPOTHESIS.

This type of guessing is SUPER POWERFUL, and it’s something that professional mathematicians and scientists do all the time to move human knowledge forward!

For example, today I was working with a student on graphing a straight line.

She said, “What would happen if I flipped the xs and ys? Would they just be all over the place, or would they form a straight line?”

Though I knew the answer, I told her, “Why don’t you try it and see what happens,” because I knew that would be more impactful than if I just told her without her actually doing it.

Then she got to see that the points she was graphing DID still make a straight line – just a completely different line than the original one.

DELIBERATELY TESTING A HYPOTHESIS is also a great as a way to get started when you’re not quite sure what to do, but you have a hunch that you could try a particular approach, but you’re still not sure.

It is most helpful when there is some way to check your answer. Otherwise there’s no way to tell if your test was correct!

So guessing can either be a super powerful and savvy sophisticated tool – or the sign that a student is flailing and not yet connected to the meaning of material. That’s why it’s so important to know about the three different kinds of guessing, and discern between them.

Would you like your innovative, unique kid to experience math from the powerful position of being able to deliberately test out their own creative hypotheses? If so, I would love to talk to you!

To make sure it’s the right fit, I accept students into my magical tutoring programs by application only, and the application includes the extremely valuable opportunity to spend 90 minutes on the phone with me so we can getting super clear on what’s going on with your kid’s math and whether or not it would be a fit for us to work together.

Just click here to get started with your special application for my one-on-one math tutoring programs.

I’m excited to connect with you!

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Right now, there are two different models of learning in the world – the “enthusiasm” or “love” model of learning, which is all about growth, creativity, freedom, the enjoyment that comes from mastery, and learning so that you can fulfill your own vision.

Then there is the “fear” model of learning, which is competitive, has a scarcity orientation, is institutional, about checking off boxes, and outer-directed. There’s a terror of being left out, left behind, or found inadequate. If you fail, it means you’re fundamentally flawed. And it’s about kissing ass, meeting others’ expectations, and doing what your told.

Guess which model I’m about?

You are right. I am about the love!

It has become super clear to me that the kids I’m meant to work with are the next generation of visionaries. These are the kids with passion, who don’t fit in, who stand out from the crowd in some way.

Parents of these kids view their kid’s uniqueness as precious and inviolable. They want their kids to transcend the system, have the tools to flourish anywhere, and create their own life and reality. And right now they are experiencing math as a stumbling block.

These parents know that the world is not always friendly and supportive towards those who are different, and they want their kids to have the support they need to be resilient in hostile environments, and to be able to change their environment or even create their own environment.

Yet these skills are VERY RARELY, if EVER, taught in conventional educational environments, because our current educational model, for all its beauty and strength, is still at least 100 years out of date.

In fact, the characteristics and behavior needed to succeed in this new world are frequently actively DISCOURAGED (consciously or unconsciously), even in the most elite educational environments.

But these skills, and these passionate, creative, visionary kids, are exactly what the new world needs.

Because our world is truly, profoundly shifting.

The new world is all about being in your own unique zone of genius, having a vision, and the courage to unfold that vision and fight for it.

The new world is full of individuals sharing their souls and their unique gifts with vulnerability.

It’s about taking a stand for what you really want and what you really believe in.

It’s about the willingness to blaze your own trail – with like-minded mentors, guidance, and community – instead of following a pre-set career path.

This new world is about making your own game, or changing the game.

It’s about pleasing yourself, intrinsic motivation, and the deep satisfaction and joy of doing what you love. It’s about growing. It’s about self-direction and self-determination in a community of like-minded souls. It’s about synthesis and evolution.

On the other hand…

The old world is about filling a role, being obedient, and going through the motions. It’s about winning the game, thinking that there’s only room for one at the top. It’s about pleasing others in order to be rewarded with grades, money, or status. It’s about following a leader and regurgitating others’ ideas.

That’s what a lot of education prepares students for – the old world. But it’s not preparing students for THIS world, the new world.

And frequently these educational environments are downright unsupportive, if not openly hostile, towards the passionate, courageous visionaries of the future.

If you’re the parent of one of these kids, you know deep in your soul that your kid is actually going to need MORE skills to blaze their own trail.

They’ll need a deeper connection to their own truth and their own vision.

They’ll need to be more courageous, articulate, skillful, and strong.

They’ll need to be MORE resilient in the face of fear, doubt, disappointment, and confusion.

Because the path of a passionate visionary requires greater inner strength and outer skill than a pre-set path.

It requires a deeper and deepening connection to our own inner guidance, intuition, and even to God (whatever language you use – Jesus, Buddha, Allah, Source, Spirit, Soul, Guidance…).

I know, because this is what’s been required of ME.

In the world around us, there is just so much fear about what is changing. How the old sources of security, income, and structure are crumbling, or already gone. And people are fighting over the scraps.

Yet the other world of plenty is available. It’s right in front of us. The same tools that are dismantling the old order are the exact same tools that allow gutsy individuals to spread their vision, thrive, and be more rewarded than ever before. When the means of production and distribution are no longer centralized, it’s not about waiting for someone else to “discover” you or give you permission. It’s about having the guts to validate yourself and be willing to hold to your vision when no one else is seeing it. And the strength to keep going.

This new world requires new skills, new ways of navigating, and new ways of being, which are NOT taught or encouraged in the vast majority of conventional education.

So what do you do?

I am here to help these kids who are unique, who are creative, who are passionate, who have vision, and who stand out from the crowd.

I mentor these future visionaries. I know what it takes, because I am creative, passionate, visionary, and do not fit in. And because I have blazed my own trail – and I am continuing to do so every day.

I am here to help make math master-able and magical for these kids on a mission – AND to use math as a vehicle to learn these larger meta-skills that visionaries need and that the new world requires.

Does this resonate with you? Does this describe your kid and your family? Then I would absolutely love to connect with you.

Just click here to get started with your special application for my one-on-one math tutoring programs.

Sending you so much love,
REBECCA

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A great way to check if your son or daughter really understands what they’re working on is – once they’ve already spent some time practicing a particular problem type – to ask them to create their own original “designer” problem.

I frequently use the words, “Now I want to see a [student’s name] Original!” (Like if I was tutoring a student named Sally, I would say, “Now I want to see a Sally Original!”)

Why does this help?

1. First, being asked to create an original problem quickly reveals whether or not the student has truly internalized what they’re working on. If they can create and solve their own unique problem similar to what they’ve been working on, it means that they understand the material on a deeper level than just being able to DO it – they can actually CREATE it from scratch.

2. Second, it’s fun! Usually kids are really excited for the opportunity to create their own problem.

3. Third, when students do this, sometimes they’ll actually create and solve something much more complex than they have been working on. It’s like they want to take it to the next level, and they can without anyone stopping them, because they’re totally in the driver’s seat.

(Also, sometimes the opposite will happen, where a student will be reluctant to do this because they haven’t been asked to do it before, or they don’t feel ready. If this happens, you can just offer to go first or take turns, or if you really sense they’re communicating they need more practice first, do more practice problems before coming back and asking them to create their own.)

4. Fourth, it really helps them take ownership of their own learning. When you’re making and solving your own problem, it means you understand math is something you can CREATE – not just something random you’re being asked to do. This is a major confidence builder.

And it also really brings home the fact that math is a human creation, with its own beautiful idiosyncrasies!

Are you tired of not even having time to create dinner for your family because your kid’s math homework has become an overwhelming family-wide project? Do you wish that your kid could experience math creatively, as a source of fun, confidence, and security, instead of dread or incompetence? Are you ready to invest in high-level, super-customized tutoring support?

Just click here to get started with your special application for my one-on-one math tutoring programs. Once your application is received, we’ll set up a special phone call to get clear if my approach would be a good fit for your child.

Sending you love,
REBECCA

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Need to remember something important? Breaking news!

OMG! This is so cool! Kara Koskowich, a Canadian teenager, made her own graduation dress out her math homework! Check out CBC news for the full story here. Designed to look like “an explosion”! You know I love stories about girls and math, and this is one of my recent favorites!

When I was growing up, I loved making my own clothes and digging for amazing thrift store finds, but it never would have crossed my mind to create a graduation dress out of my actual homework. (Even though I went on to do things like go out dancing in college in a skirt made out of a reflective metallic poster.)

I thought it was interesting that Kara’s best friend, who made her dress out of reused plastic bags, didn’t get the same level of press as the math homework dress, even though her dress is clearly also awesome. I think it’s because of that extra layer of poetic resonance of making a graduation dress literally out of the work you did in order to graduate.

In conclusion: way to go, Kara and best friend! I look forward to seeing what you create next!

Do you want to learn math in a way that’s creative, fun, and intuitive–like making your own original dress (or tuxedo, for that matter)?

Then I invite you to apply for my super special one-on-one math tutoring programs!

Just click here to get started with your special application for my one-on-one math tutoring programs. Once your application is received, we’ll set up a special phone call to get clear if my approach would be a good fit for your child.

I’m excited to hear from you!

Sending you love,
REBECCA

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Dancing with my awesome Balinese dance teacher, IGA Raka

It dawned on me in 2005. I was in Bali working with a renowned dance teacher every day for two hours to learn an intricate, difficult dance. I realized that if she told me that what I was doing was great, I would do the dance again and again and again for her out of sheer enthusiasm. And in doing it again and again, it would get even better.

After our lesson, I reflected on my response to my teacher’s praise and how I’d responded to criticism in the past. In a flash of self-understanding, I realized: If I’m doing something I love and you tell me I’m doing great work, I will work sooooooo hard! However, if you tell me that I’m doing terrible, I want to stop working and die.

Ever since, I’ve held this realization close to my heart. But now that I’m learning about all this new research about praise, I’m wondering: Is something wrong with me? Am I a praise junkie? Why am I so sensitive to what my teachers tell me?

When teachers have told me that I was doing bad work, or even worse, that “I didn’t have what it takes,” I would spend hours and hours of mental energy processing those statements. If I am so bad at X, how was I accepted into program Y? Am I so bad that I deserve to be placed with other students who really don’t seem to care? If I am incapable of achieving XYZ, how is it that I was able to achieve ABC? And on and on.

But now I’m realizing that those hours of processing negative messages never helped me learn a single note or dance move or improve in any way. In fact, some of those teachers’ discouraging statements led me to spend months or even years avoiding my true heart’s desire—or pursuing my true heart’s desire in utter solitude—out of fear that I was essentially inadequate.

In contrast, when I eagerly danced over and over for my Balinese teacher, I honestly don’t think I was seeking the reward of praise or avoiding the punishment of a scathing critique. I believe that her encouraging praise really fed my own intrinsic motivation. Maybe her praise couldn’t “hurt” me because I was intrinsically motivated. (Sort of like how the Book It Pizza Hut pizzas could never dim my love of reading.)

On the other hand, I notice a pattern when I look at the withering “feedback” that distracted me and discouraged me:
“You’ll never achieve…”
“You will never be able to …”
“You aren’t going to attend school for ….”
“I really don’t see you as [having the career you desire] but [in a completely unrelated career]”
“You think you know how to do X but what you’re doing is not X at all…”

These statements didn’t give me any clear direction on what to do differently to improve! What could I do to achieve my dreams? What did I need to learn to prepare for school? If I really didn’t know a technique or skill, how could I acquire it?

Those statements did not answer those questions. They were just judgment. They did not provide guidance, except perhaps “guidance” to abandon my dreams. (Needless to say, I never speak to my students this way.)

Then I remember my teacher in Bali. She did not come from a culture of excessive praise and self-esteem boosting. I believe in my heart that she really believed that I was doing well. She wasn’t just trying to make me feel good.

But now I realize that when she told me I was doing well, she wasn’t just praising me. She was engaging with me. She was going to continue to help me to grow and improve. But the other teachers’ statements were statements of disengagement. They were no longer interested (or able?) to help me grow and improve.

So maybe what really matters is engagement.

Do you wish your child could be supported in learning math in a way that’s truly engaging, and supports their intrinsic motivation? Do you wish your child could LOVE math as much as they love to dance?

Then I invite you to apply for my special one-on-one math tutoring programs!

Just click here to get started with your special application for my one-on-one math tutoring programs. Once your application is received, we’ll set up a special phone call to get clear if my approach would be a good fit for your child.

I’m here for you, and I’m so glad we’re connected!

Sending you love,
REBECCA

Related Posts:
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Toning Down the Praise: Experiment #2 (I am going through praise withdrawal)