Create Presentation
Download Presentation

Download Presentation
## Goals for the session

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**Goals for the session**• Learn how the philosophical shift in the way we teach math affects the way we teach basic facts • Learn some effective strategies for teaching basic facts to students**Alberta Program of Studies2007**By decreasing emphasis on rote calculation, drill and practice, and the size of numbers used in paper and pencil calculations, more time is available for concept development.**Philosophical shift**• Focus on number sense • Focus on mental math and estimation**What do you think?**Are basic facts important? Should we be having our students memorize them?**The Nature of Mathematics**Number Sense Rote Memory versus • committing isolated facts to memory one after another • drill and practice Automaticity • relies on thinking, using relationships among the facts • focusing on relationships**Why is this a topic of interest?**• The pendulum goes back and forth • The discussion about memorizing versus fluency**What are the basic facts?**The Alberta Program of Studies defines them as: • Addition and Subtraction to 18 • Multiplication and Division to 81**Count On**• Doubles**Count On**• Doubles • Near Doubles**Count On**• Doubles • Near Doubles • Names of 10**Count On**• Doubles • Near Doubles • Names of 10 • Names of 5**Count On**• Doubles • Near Doubles • Names of 10 • Nine strategies**Count On**• Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10**Count On**• Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10 • Skip count by 2**Count On**• Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10 • Skip count by 2 • Number in Middle**Count On**• Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10 • Skip count by 2 • Number in Middle • Commutativity**Count On**• Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10 • Skip count by 2 • Number in Middle • Commutativity**Multiplication**• Talk about ‘groups of ‘ • Talk about ‘families’ • Give strategies for when we don’t know what to do • There is NOT an endless supply of basic facts**What do we already know?**Start in grade 3 Learn up to 5 x 5**Zero groups of**• 1 group of**Zero groups of**• 1 group of • Counting by 5’s**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s • Doubles**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s • Doubles • Families**Important to remember**Teach through families 2 x 3 = 6 3 x 2 = 6 6 ÷ 3 = 2 6 ÷ 2 = 3 Work the teaching of division right into the teaching of the multiplication….**So that is it for Grade 3**Let’s move on to grade 4…… Expand what they already know**Zero groups of**• 1 group of**Zero groups of**• 1 group of • Counting by 5’s**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s • 10’s**A side note about tens**• 10 X 6 • 100 X 7 • 1000 X 8 • 10 x 5 • 30 x 5 • 40 x 7**Working with 9’s**What do you know?**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s • 10’s • 9’s**09**18 27 36 45 54 63 72 81 90**The fours…**• Relate the 4’s to the 2’s… • 2x1 • 2x2 4x1 • 2x3 • 2x4 4x2 – families here • 2x5 • 2x6 4x3 • 2x7 • 2x8 4x4 • 2x9 • 2x10 4x5**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s • 10’s • 9’s • 4’s**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s • 10’s • 9’s • 4’s**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s • 10’s • 9’s • 4’s • Doubles**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s • 10’s • 9’s • 4’s • Doubles • Families**Zero groups of**• 1 group of • Counting by 5’s • Counting by 2’s • 10’s • 9’s • 4’s • Doubles • Families