4 Frame Mathematical Approach
Building a Framework for Successful Mathematics Instruction
4-Frame Mathematics is:
A framework for building instruction.
The deliberate "chunking" of time to more effectively deliver and assess instruction and learning in mathematics.
A plan to effectively incorporate State Math GLEs and district math standards. [integrated with curriculum mapping software]
A balanced instructional guide.
Designed to use a variety of effective materials to insure all children become mathematical thinkers
The 4-Frames are:
- Calendar Math: for repetitive practice
- Problem of the Day: for instruction of problem solving strategies
- Direct Instruction: for hands-on, minds-on instruction
- Perfect Practice: for teacher directed review
Each Frame Contains:
Math GLEs- Multiple methods and strategies
- Concrete models leading to representational models leading to abstract understanding
- A variety of instructional opportunities from whole class to partner and small group activities
- Connections between frames to aid students in the application of mathematical knowledge
- Room for the teacher to make adjustments to meet student needs.
- A menu of instructional options
- The 4-Frame Mathematics Model was developed by Debbie Donovan, Susan Jenkinson, and Fredna Lee
Tips
- There is no down time. Is every minute purposeful?
- Much of 4-Frames is negotiable. The Core Map is NOT negotiable.
- Your schedule reflects your belief in teaching. Does your class schedule reflect what you believe?
Calendar [10-15 minutes]
For repetitive practice- Involves mental math
- Just follow the book. Be married to the guide in the first year.
- Used for pre-teaching and review
Problem of the Day [10-15 minutes]
Process skills- See it with Problem Solver, Groundworks, some good problem solving in Scott Foresman text.
- The Problem Solver Binder: The series provides 10 logical and easy to apply approaches to problem solving, with challenging practice problems that allow students to choose, apply, and reexamine appropriate strategies. The materials can be used to supplement the regular math program.
Direct Instruction [25-35 minutes]
Direct Instruction (DI) is a model for teaching that emphasizes well-developed and carefully planned lessons designed around small learning increments and clearly defined and prescribed teaching tasks.- It is based on the theory that clear instruction eliminating misinterpretations can greatly improve and accelerate learning
- Includes guided practice [this is not perfect practice]
- Build the concept.
perfect practice [5 minutes]
The things we want students to know without having to stop and think. - The aim is automaticity.
- Independent practice based on concepts
- Could be a worksheet or a game.
- Perfect practice may integrate with Direct Instruction at times.