Category Archives: Uncategorized

Free Count by 3 Thanksgiving Dot to Dot Math Puzzle

This single dot to dot puzzle is a Free Dottoo Dots Thanksgiving Activity. Count by 3s to find the hidden picture. Click the image or this link to see and download the PDF from Teachers Pay Teachers.

Dottoo Dots are not your mother’s connect the dot puzzles. They skip count by 1s, 2s, 3s, 4s, 5s, 6s, 7s, 8s, 9s, and 10s, and they begin at various start points, increasing the challenge.

Each Holiday collection has over 13 different puzzles, with a “hard” and “easy” version of most of them. Incorporate these puzzles into your number sense, operations, and patterning instruction and assessment. Use them in whole class instruction, as part of your math centres, or for a fun but educational holiday activity to do with your class.

Get the Free Teacher Package that shows you how to manage the puzzles in the classroom, describes ways to include them in your math lessons, and how to analyze your students’ errors to know where they are on the Number Sense continuum.

Please leave your feedback to help me make these collections the best they can be.



The Password Is…

Lock photoSo, I was driving to work, listening to the CBC (Canadian Broadcasting Corporation – for U.S. followers), and they were talking about the Heartbleed bug.

Well, they were actually talking about changing passwords, and how important it is to make them fairly complex, differentiated, and not in any way predictable or guessable.

I am SHER locked.

Of course, this level of complication makes passwords extremely forgettable.

Wait. I want to digress a bit. Let’s play a game. This is how you figure out your Movie Star name. Your first name is the the name of the first pet you ever had. Your last name is your mother’s maiden name. My Movie Star name is Snoopy Masters. What’s yours?

And while you’re at it, why don’t you just save me some time and tell me your father’s middle name, the street you grew up on, and your favourite fictional character, because clearly you want to be the victim of identity theft.


Most webpages let you reset your password, or at least get a hint, if you can accurately answer a security question that you set up when you registered. You know what I mean. “What is the name of the first street you grew up on?” “What was the name of your first pet?” Imagine my shock when I heard the CBC hosts talking about how con artists set up these posts and threads, collecting people’s information with innocent little internet games.

Not as advanced as the scene in Now You See Me, but just as effective.

So, NO MORE “What’s your Rocker Name” games for me. Or you, I hope.



Put Her in a Pumpkin Shell, Indeed!

Put Her in a Pumpkin Shell, Indeed!

Lovely Lady

Experiments Will Make You Smarter

The first theme from Brockman’s collection of intelligence-fostering essays, This Will Make You Smarter, is that we would all be better off if we saw the world the way a scientist does. There are three essays in particular that extol the objective processes of the scientific method and experimentation as the procedures for doing everything, from allaying irrational fears to overthrowing fascist governments.

Full disclosure, so that you’re not changing the entire way you think based on my interpretation of a small data set. These essays are all very short, and are not to be considered exhaustive. But, they do encourage a lot of deep thinking and reflection, in me anyway.

The Controlled Experiment – Timo Hannay

This essay is about following the scientific method to make decisions in our lives. Hannay asserts that we are too quick to judge, and those judgments are based on prejudice, preconceptions, and a lack of imagination. According to him, we should be striving to be more objective and data driven, rather than going by some introspective gut feeling, or asking around to see what others think. I believe that his assertions are based on data collected in controlled experiments, but I only have his word for it.

The Double-Blind Control Experiment – Richard Dawkins

imageDawkins is of a like mind, but twice so. I will infer he has been reading the same journals as Hannay. He wants us to be critical. He also thinks we need to be more objective in the face of personal opinion, because of the bias inherent in it. He wants us to stop generalizing from a handful of anecdotes, in favour of coming to conclusions based on evidence. For him, it all comes down to improving the population’s understanding of how controlled experiments work (specifically, I believe, how they filter out as much bias and external influence as possible, ensuring that true causality is established), so that we develop a healthy, habitual skepticism that will keep us from being tricked or lied to.

Promoting a Scientific Lifestyle – Max Tegmark

In this entry, Tegmark laments the “fact” that scientists are pretty much useless at getting their message out to the public, and that, when the message is disseminated, it has often been watered down, misinterpreted, or bastardized (I’m generalizing here, but HELLOOO, every last initiative in education I’ve seen in the past 15 years).

He laments this because so many of the decisions we make in our lives are based on inaccurate and incomplete information. He believes we are too busy, too biased and set in our ways, and too overwhelmed by the volume of information available. I’m going to add too skeptical of things we think will make our lives complicated, boring, or inconvenient.

These restrictions of our intellectual development, he believes, result in us being easily manipulated into voting for stubborn politicians who turn their backs against evidence that undermines their biases. We allow ourselves to be duped by sound bites and propaganda that play into our fears and prejudices. And we end up blindly following charlatans and buying books about wish fulfillment, looking for the simple, quick fix to all our problems. If he had his way, scientists the world over would be using the same tactics as politicians and corporations to get their messages out, and that message would be “Look, smarten up.”

My purpose behind this blog entry is to explore how these ideas might influence me and my pedagogy. What would be the result of teaching students about controlled experimentation and critical thinking? Shall I question the authority of these experts before I make any decisions?

Visions of riot shields and fire hoses come to mind when I think about challenging authority. Is that what these folks mean? Do they mean rebel against authority? Don’t trust anyone over 30? I don’t want a child to touch the stove because he’s been taught to be skeptical of me when I say it’s hot. I don’t want him to find out on his own. Or do they actually mean to question authority? Well heck, I do that all the time.

Questioning is not necessarily the act of open rebellion some politicians and other community leaders make it out to be. It is just the act of asking questions. “Why is that the case? How do you know? Based on what evidence? Have you considered other data? Which ones?” I don’t really have a problem with this, as long as I have substantiated responses to provide. And as long as the student isn’t just questioning for the sake of being a disturbance, and can provide her own evidence to the contrary, if necessary. Anyone who does question can certainly be given the opportunity to find out the answers for himself, through research and experimentation. I’m comfortable with this, because I’m fine with finding out I was wrong.

Which brings me to an idea these writers have not touched upon, but I believe must be pointed out. If we are going to question others, then we must also question ourselves. Riot police are called out when two factions of self-righteous people clash. But, those who scream that they know better than the authorities inevitably end up authorities themselves, with their own violent detractors to repel. Humility and openness to others’ skepticism seem much more productive than arrogance and close-minded certainty. When we experiment, we suppose. We are bound to find some of our suppositions were wrong.

In the end, I agree with these three arguments, and yes, to acknowledge my bias, this is mostly because they match my experiences. But, when I say experiences, I mean from both perspectives. I have been on the receiving end of ignorant dictates (from several education ministers and their leaders since ’95). And, I have been guilty of an unbending, near-sighted hubris of my own (Dear Editor). I’ve made myself the authority and then been challenged because of it (Literacy Coach). I’ve challenged and been shut out. I’ve lead the charge, only to find myself the first to bare the brunt of a counter attack (Facebook Page).

If I choose to see those experiences as experiments, then I can look at them objectively. I can question myself and decide how to conduct the next experiment better. I can assess for bias. I can restrict parameters. I can gather data. I can learn.

I can use that learning to question.

I can use that questioning to teach.

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