Vlog Ep #08: Teaching Math Unshackled from Standards and Curriculum Documents

 

Are you getting a little tired of other people interfering in how you teach in your classroom?

I see around the world teachers being put under greater and greater pressure to perform, as if they were mere employees or servants of the state. And I’m over it!

Most politicians have never taught a day in their lives, from what I can tell. How dare they act like teachers should somehow get more motivated to achieve higher results, for the good of the nation?

 

Now, of course the curriculum is important, as I say in the video. But bureaucrats and nit-pickers seem to think that teachers need to stop being so opinionated, and just accept that they are there to do the will of their masters. Arrggghhhh!!! What doctor, engineer or lawyer would accept such treatment?

So let’s stand up for professional autonomy in our classrooms, go out and do an outstandingly excellent job, for our students, their families, and of course our nations.

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Vlog Ep #04: Math-Anxious Parents Produce Anxious Kids Who Know Less Math (research report)

Do you wonder about the wisdom of sending math homework home? Have you ever had a sneaky suspicion that parents may actually not be helping their kids learn math?

Well, now there’s evidence that supports your caution.

Research: Do Parents Help, or Hinder Their Kids’ Math Learning?

If you have any interest in helping kids with their math learning, I urge you to watch the video, then go and read this article:

Briefly, the findings of this year-long research using children in grades 1 and 2 and their parents were:

  • Parents who reported math anxiety themselves, and who helped their children with math homework resulted in children who:
    • were more anxious about  math themselves
    • learned less math over the year
  • Reading scores were not affected
  • Parents who did not help with math homework had no significant effect

This is a hugely important set of findings. I believe all K-6 math teachers should address the issues here, for the sake of their students’ learning.

Suggestions for Every K-6 Math Teacher:

  • Don’t set math homework that is likely to cause stress or anxiety in parents who themselves are not confident in math
  • Talk to parents about the messages they send (often unwittingly) to their children about math and math learning
  • Make suggestions to parents about low-stress ways to help their kids with math
  • Point out everyday activities that parents could use as springboards for incidental math conversations:
    • Shopping
    • Cooking
    • Budgeting
    • Deciding what to buy
    • Keeping track of sports scores, race times, etc.
    • Playing board games and dice games
  • Urge parents to let their children know that they believe in their children’s future success in math and to talk positively about how useful math is to all adults

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Teach Times Tables Without Apologies

Teach times tables to children in grades K-6: this is arguably one of the most important jobs a K-6 teacher has.

Why Teach Times Tables? Surely Calculators Make Memorization Redundant?

This sounds a little plausible, but I encourage you to stop and imagine this scenario: first, you have to imagine that you’re a child, around 10 years old. You haven’t had the experiences that your future adult self will have. You’ve been told by teachers that you don’t have to learn math facts by heart. You have a calculator in your desk, and you are encouraged to use it.

Now, picture this: you are working out the perimeter of a 6 by 8 rectangle using the formula “P = 2x(L + W)”.

Imagine This: You are a Child Whose Teachers Did Not Teach Times Tables

You remember you should add the length and width first, but you don’t know what six plus eight equals, since you never learned the addition facts by heart either. You look around in your desk and find the calculator, switch it on, look at the question again, press “8”, “+”, “6”, “=” and see “14” in the display. “What does that mean?” you think. Oh yes, that’s what “L + W” equals. Somehow you figure out the next step is to multiply 2 by the number you just found. You pick up the calculator, press “2”, “x”, then ask “What do I times this by?”.

You have forgotten the answer and you didn’t write it down, so you start again: “8”, “+”, “6”, “=”. This time you take note of the answer, “14”. You look back at the formula again, and press “2”, “x”, recall the previous answer again, “1”, “4”, “=”, and see the display shows “28”. You quickly write “28” in the space for the answer and move on to the next question. Oh look, it’s another perimeter question – it will be quicker this time, because you know the sequence of steps you have to take.

This is what happens if no-one takes the time to teach times tables. Notice that not only does this imaginary child take much longer to complete this simple question than it would have been if tables were memorized, the child is repeatedly interrupted in working through the question to carry out mechanical actions, mostly the pressing of calculator buttons, with little or no thought of why he or she is carrying out the process in the first place.

I promise you this: from today onward, I will not apologize for expecting students to memorize the times tables.

I’ve had enough. Students who don’t know the multiplication facts by heart will not achieve much success, if any, in their future math studies. So why don’t we do more to get our students to memorize facts?

Teach Times Tables: A True But Sad Story

In the video: The experience I had recently watching Year 5 kids trying to do a multiplication test without knowing the times tables illustrated this perfectly for me.

Students simply had no idea of the times tables, and so most of them resorted to drawing arrays of dots and then counting the dots from 1. Of course, this was much too slow, and in addition students frequently made mistakes.

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