Powerpoint from a NCTM 2012 National Conference session. Because it was an interactive session, the powerpoint isn't too exciting, but it does have links to most of the online tools and apps that we demonstrated in the session.
3. Singapore Teaching Model
Transferring Understandi
•Applying
understanding ng
•Initiating
Assessin •Abstracting
•Schematizing
g
Consolidating
• Recall with speed & accuracy
Source: Teaching primary school mathematics: A resource book (2009)
12. ipad Ten Frame Tools:
10 Frame Fill
by Classroom
Focused
Software
13. ipad Ten Frame Tools:
Friends of
Ten
by Little
Monkey
Apps
14. Conceptua Math
Identify Fractions Tool
Support C-P-A sequence of instruction
Supports composing and decomposing numbers
Multiple visual representations
Provides context, models and numbers
Supports teachers and students
15.
16.
17.
18.
19. Conceptua Math Fraction Tools
Add Fractions with Common Denominators
Subtract Fractions with Common Denominators
Add Fractions with Uncommon Denominators
Subtract Fractions with Uncommon Denominators
Pattern Blocks
The semiconcrete level is a representation of a real situation; pictures of the real items are used rather than the items themselves. The semiabstract level involves a symbolic representation of concrete items, but the pictures do not look like the objects for which they stand. (Heddens, 1986, p.14)
Most apps and web sites focus on Consolidating or practicing a skill. Today we’ll look at some that focus on helping students understand a skill
Visualization AND ConnectionsLearning is an active process and students go through three stages.NCTM & Jerome Bruner.Concrete & Pictorial are the BRIDGE to abstract.
NCTM refers to thi as “iconic”
Making 10 strategy useful for students who know 1-10 facts, but struggle with addition & subtraction facts through 20