Transcript Topics & Agenda - Evesham Township School District

ETSD Mathematics Program:
Big Ideas
•Deeper conceptual understanding (making sense of math), fewer
topics, greater depth;
•Stronger procedural fluency (doing math), proficiency with math
skills, facts and procedures; and
•Greater emphasis on problem solving (using math), know how, why
and when it works.
Computation
Standards for Mathematical Practice
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique
the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated
reasoning.
Why Singapore Leads the World
in Early Mathematics
Key Instructional Strategies
• Concrete-Pictorial-Abstract Model (CPA)
• Visualization
• Making Connections
• Questioning
• Generalizing
Concrete->Pictorial->Abstract
Tools
• Ten Frames
• Number Bonds
• Base Ten Blocks
• Place Value Disks
• Number Balance
Integrating the CPA with Visualization
x + 2x = 12
Bar Modeling
A pictorial or diagram method of representing
quantities and their relationships to solve both
arithmetic and algebraic word problems.
Student use rectangle blocks to represent the known
and unknown:
•Blocks are easily drawn and divided
•Rectangles enable proportional representation and
solving for the unit
Trajectory of Bar Modeling
• Part/Whole
Part
Part
• Comparison
• Equal Parts
• Before and After (change problems)
Technology Resources
• Think Central (Grades K-5)
• Holt McDougal Online (Grade 6 & 7)
• Houghton Mifflin Harcourt: Singapore Math