Fred G. Harwood @HarMath

Maths teacher, mentor teacher, ed consultant fascinated with discovery learning and inquiry, problem solving, assessment, visualization & making a difference. harmath.wordpress.com Richmond, BC Joined July 2009

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BC Seniors Advocate @SrsAdvocateBC

4 days ago

Stay current on issues affecting #BCseniors! The September 2025 OSA Update is full of valuable resources and research to keep you informed. ow.ly/p7j250WQz15 👉 Don’t miss future editions—subscribe today: ow.ly/hZrw50WQz16

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James Tanton @jamestanton

10 months ago

There are essentially just two ways to write 1/2 as a sum of two basic fractions, and just two to write 1/3 this way. a) How many ways to so write 1/5 and 1/7? b) How many ways to so write 1/4 and 1/6?

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Fred G. Harwood @HarMath

a year ago

@jamestanton Wayne, can you see the flaw in my reasoning. I agree with the first 4 being F(2n), but n=5? 1x1x1x1x1 one way; 1x1x1x2 four ways; 1x1x3 x3; 1x4 x2; 2x2x1 x3; 2x3 x2; 4x1 x2; 5 1+8+9+8+12+12+8+5 = 63

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Fred G. Harwood @HarMath

2 years ago

Shades of @dmarain , I found myself on New Year's Day, observing the intersecting shadow lunes that form on my Metamucil bottle by the various overhead pot lights.

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ILC Canada @ILCCanada

2 years ago

Longer lives lead to breakthroughs in healthcare and well-being. Longer lifespans foster connections between generations. We need to celebrate longer lives and ensure access to quality healthcare, education, and opportunities for all, regardless of age. #StopAgeism

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Fred G. Harwood @HarMath

2 years ago

#MathStratChat @pwharris For subtraction, I really like shifting equally. Here I'd do two moves to make it simpler. 7 less and 500 more: 6015 – 3507 = 6008 – 3500 = 6508 – 4000 = 2508

Pam Harris @pwharris

2 years ago

#MathStratChat @pwharris For subtraction, I really like shifting equally. Here I'd do two moves to make it simpler. 7 less and 500 more: 6015 – 3507 = 6008 – 3500 = 6508 – 4000 = 2508

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Fred G. Harwood @HarMath

2 years ago

#advocacy4aging @advocacy4aging I love seeing caring intelligence rewarded

National Institute on Ageing 🇨🇦 @NIAgeing

2 years ago

#advocacy4aging @advocacy4aging I love seeing caring intelligence rewarded

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Fred G. Harwood @HarMath

2 years ago

#MathStratChat @pwharris 8% = 8/100 = 4/50 4/50 x 9/9 = 36/450 so 36 is 8% of 450

Pam Harris @pwharris

2 years ago

#MathStratChat @pwharris 8% = 8/100 = 4/50 4/50 x 9/9 = 36/450 so 36 is 8% of 450

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Fred G. Harwood @HarMath

2 years ago

#MathStratChat I guess I see the proportion built: 32/100 = 16/x. This means 'x' must be half of 100 since 16 is half of 32.

Pam Harris @pwharris

2 years ago

#MathStratChat I guess I see the proportion built: 32/100 = 16/x. This means 'x' must be half of 100 since 16 is half of 32.

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Pam Harris @pwharris

2 years ago

It's time for #MathStratChat! Rules: post your favorite or a clever solution! It's also fun to comment on other's strategies. Tell us about your reasoning. Like/Retweet so others can see! #MTBoS #ITeachMath #MathIsFigureOutAble #Elemmathchat #MSmathchat #HSmath

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Fred G. Harwood @HarMath

2 years ago

#MathStratChat 18 is 24% of what? Setting up the proportion: 24/100 = 18/w 24/100 ÷ 4/4 = 6/25 so 6/25 x 3/3 = 18/75 thus 18 is 24% of 75

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Fred G. Harwood @HarMath

2 years ago

#MathStratChat partial factoring: 3 x 25 x 4 x 6 = 3 x 100 x 6 or 3x6 x 100 = 1800 3/4 of 24 = 3 x 6 dollars = 1800 cents

Pam Harris @pwharris

2 years ago

#MathStratChat partial factoring: 3 x 25 x 4 x 6 = 3 x 100 x 6 or 3x6 x 100 = 1800 3/4 of 24 = 3 x 6 dollars = 1800 cents

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Fred G. Harwood @HarMath

2 years ago

#MathStratChat 6 ÷ 3 = 2. Since we are starting with 3/4 less than 6, we will have an answer that is 3/4 ÷ 3 less than 2. And 2 – 1/4 = 1 3/4

Pam Harris @pwharris

2 years ago

#MathStratChat 6 ÷ 3 = 2. Since we are starting with 3/4 less than 6, we will have an answer that is 3/4 ÷ 3 less than 2. And 2 – 1/4 = 1 3/4

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Fred G. Harwood @HarMath

2 years ago

#MathStratChat @pwharris To be different or to introduce another medium, let's think sandwiches. A 12 inch sandwich is a footlong. A third of it is 4 inches and 2/3rds is then 8 inches. So 11 inches – 8 inches is 3 inches or 3/12 of a foot. Is there a name for a 1/4 sandwich?

Pam Harris @pwharris

2 years ago

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Pam Harris @pwharris

2 years ago

It's time for #MathStratChat! Rules: post your favorite or a clever solution! It's also fun to comment on other's strategies. Check out my new mini workshop! bit.ly/mifmini #MTBoS #ITeachMath #MathIsFigureOutAble #Elemmathchat #MSmathchat #HSmath

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Fred G. Harwood @HarMath

3 years ago

#MathStratChat I think decimals jump to mind for this as 0.55 - 0.40 = 0.15 or 15/100 or 3/20 as soon as I did this, 11/20 - 8/20 looks easy too.

Pam Harris @pwharris

3 years ago

#MathStratChat I think decimals jump to mind for this as 0.55 - 0.40 = 0.15 or 15/100 or 3/20 as soon as I did this, 11/20 - 8/20 looks easy too.

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Fred G. Harwood @HarMath

3 years ago

#MathStratChat Still triggering money with the 1/4, converted 7/20 to 35/100 so 25¢+35¢ = 60¢ so 0.60 or 6/10 = 3/5

Pam Harris @pwharris

3 years ago

#MathStratChat Still triggering money with the 1/4, converted 7/20 to 35/100 so 25¢+35¢ = 60¢ so 0.60 or 6/10 = 3/5

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Fred G. Harwood @HarMath

3 years ago

#CanAgeBC See how @AARP is responding to the president's #SOTU23

Jo Ann Jenkins @JoAnn_Jenkins

3 years ago

#CanAgeBC See how @AARP is responding to the president's #SOTU23

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Fred G. Harwood @HarMath

3 years ago

#sd38learn

Richmond Schools @RichmondSD38

3 years ago

#sd38learn

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Fred G. Harwood @HarMath

3 years ago

At #EDcampBCCC this morning, I was inspired to give thoughts to how the new reporting order, core competencies, self-reflections through the use of metaphor, prompts and templates (with choice & sliding proficiency scales). "Weaving" with friendly language for parents/Ss too.