students struggling with times tables? develop mental strategies
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Do you find students struggle to recall basic math facts or tables? Use a mental strategies approach to equip students with tools to think about the numbers and visualize how they relate to each other. I recommend you start with ten frames, and gradually and systematically build students' knowledge of basic facts in each operation. Go to www.classroomprofessor for more math teaching resources, including free sample worksheets and software license trials. Math PD notes, presented at Queensland Education Resources Expo, 24/25 August 2013 in Brisbane, AustraliaTRANSCRIPT
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Subtraction
• How many times can you subtract 7 from 83, and what is left afterwards? • You can subtract it as many
times as you want, and it leaves 76 every time.
• (The Quote Garden)
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the Key to FluencyDr Peter PriceClassroom ProfessorQUEDREX 2013
Students Struggling with Number Facts? Develop Mental Strategies,
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WHY MEMORISE NUMBER FACTS?
3
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Basic facts are part of the foundation needed for algebra, geometry, measurement, probability and statistics
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Using a calculator for basic facts is slower than recalling them
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NAPLAN!
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NAPLAN & number facts
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Human students can think; they are not robots
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Knowing basic facts allows you to answer lots of operations questions without an algorithm
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Allows students to tackle real maths - shopping, helping in the shed, sports, ...
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Knowing one number fact tells you families of other facts
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We will need the next generation to solve the world’s problems
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THE MENTAL STRATEGIES APPROACH
13
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What are we aiming for?
• We want students to understand what they are doing.
• Rote learning is based on repetition, and cannot lead to understanding
• Once you forget something learned by rote, there is little to fall back on
• If you understand and can visualise the numbers, if you forget you can figure it out again
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Visualising and OWNING maths learning
4+4=810=6+41+4=
I love math
I think that 4+4=8
10=6+4
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Early Years: Use Ten Frames
• Ten frames are the best resource for representing numbers up to 20
• Aim is to subitise patterns for each number
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Early Years: Use Ten Frames
• How many are here?
• How many now?
• Double ten frames:
1 5
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Addition & Subtraction Strategies
• Count on +1, +2, +3• Doubles, doubles +1• Rainbow facts• Near 10• Remaining facts
0 1 2 3 4 5 6 7 8 9 10
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Multiplication Strategies
• 2x: doubles• 10x, 5x: place value• 3x: double + one more• 4x: double double• 0x, squ nos: special cases• 9x: think of tens• 8x: double double double• 6x: build from known facts• 7x: build from known facts
6 x 2 = double 6 = 12
6 x 4 = double 12 = 24
6 x 8 = double 24 = 48
DOUBLING strategies:
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Nines Patterns
9 x 7 = ?
10 x 7 = 70 70 – 7 = 63
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Nines Patterns
• 9 x 1 = 9
• 9 x 2 = 18
• 9 x 3 = 27
• 9 x 4 = 36
• 9 x 5 = 45
• 9 x 6 = 54
• 9 x 7 = 63
• 9 x 8 = 72
• 9 x 9 = 81
• 9 x 10 = 90
0123456789
++++++++++
==========
9876543210
9999999999
9 x 7 =
1 less than
7
9 – 6 = 3
63
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Nines Patterns
1
23
4
5 6
78
9
10
9 x 7 = ?
6 3
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References
• Child’s drawing copied with permission from Aviva Dunsiger: http://missd.commons.hwdsb.on.ca/2012/05/11/school-point-of-view/
• All other graphics from Flickr, copied under Creative Commons License:• Question & ladder:StockMonkeys.com http
://www.flickr.com/photos/86530412@N02/8231156853/sizes/o/• Calculator:jakeandlindsay http://www.flickr.com/photos/jakeandlindsay/5639214967/sizes/o/• Little skier: The U.S. Military Academy at West Point http
://www.flickr.com/photos/west_point/4425431834/sizes/o/• Exam room: Z17R0 http://www.flickr.com/photos/42319778@N02/4923775302/sizes/o/• Sale notice: Danny Nicholson http://www.flickr.com/photos/dannynic/6363183821/sizes/l/• Duck family: kiwinz http://www.flickr.com/photos/kiwinz/4012597779/sizes/o/• Polluted beach: Vince Alongi http://www.flickr.com/photos/vincealongi/306696455/sizes/o/• Making Bubbles: Maxmroz http://www.flickr.com/photos/maxmroz/5758445169/sizes/o/• Robot 1: geishaboy500 http://www.flickr.com/photos/geishaboy500/108824992/sizes/o/ • Math Sculpture: NMC Second Life http://www.flickr.com/photos/nmc-campus/249565400/sizes/o/• Highway sign: quinn.anya http://www.flickr.com/photos/quinnanya/5798114796/sizes/o/• Climbing :Mathematical Association of America http://www.flickr.com/photos/maaorg/6348838232/sizes/l/• Toy Ducks: pterjan http://www.flickr.com/photos/cmoi/46192785/sizes/o/
• The Quote Garden 2013, Quotations about Math, http://www.quotegarden.com/math.html [Accessed 13 August 2013].
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OUR TIMES TABLES SOLUTION
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A Sequenced System for Memorisation of Number Facts
Yr 2
Yr 4Yr 5
Yr 3
Yr 6
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• Year 2:
• Lets Go!
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• Year 5:
• 10 Minutes a Day, Level 3• Year 6-7:
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QUEDREX SPECIAL OFFERS
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