Trainer Notes (Hands-On Mathematics and the CRA Sequence of Instruction)
Title of Event: Hands-On Mathematics and the CRA Sequence of Instruction
Block: 8
Description: Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers.
Delivery Method: Power Point, Lecturer
Target Audience: Current and Future Teachers
Session Duration: Session __2__ of _3_ (
2 hour training)
Prerequisites: None
Specific Objectives:
Upon successful completion of this (event), participants will be able to:
1. Define CRA Sequence of Instruction
2. Describe a lesson where the CRA Sequence of Instruction could be effective
3. Teach a mini lesson within their group that requires manipulative and concrete learning.
4. Teach a mini-lesson within their group that requires drawing a representation of what is being learned.
Benchmark: MA.7.A.3.1
Congratulations! You have completed Block on this lesson on Integer Operations. Block 8 will cover the Pedagogy and the CRA
Sequence of Instruction. In short, CRA stands for Concrete to Representational to Abstract order of teaching concepts. Again, you
will be provided a Pedagogical Pretest (to be given at the beginning of this lesson), a Post-test (to be given after Block 9 of this lesson,
and again a Power Point for each of the three blocks will be provided.
Block 8 (2 hours) will cover the PEDAGOGY with the following items.
A. Pedagogy Pre-test
B. Using Power Point (Part II), begin teaching lesson titled “Hands-on Math and the CRA Sequence of Instruction.
1. Review Vocabulary
2. Using Power Point (Part II), teach adding integers using equation mats and integer counters
Trainer Notes (Hands-On Mathematics and the CRA Sequence of Instruction)
3. Using Power Point (Block 8), teach subtracting integers using equation mats and integer counters
4. Given Power Point (Block 8), have student teach at least one unit using either concrete or representational
instruction. (Multiplying and Dividing Integers or some other topic)
Time
Frame
Duration
Of
Activity)
Content
15
Pretest
Course
Outline
Process/
Product
Script for each Content Area
Participant
Evaluation
Materials/
Resources
Assessment of Training Materials for
Specific
Activities
Objectives
Administer Content Pre-test to Participants
PEDAGOGY PRE-TEST
Teacher Quality Grant
Name ________________________________
Date ________________ Score ___________
MA.7.3.1 Use and justify the rules for adding, subtracting, multiplying, and dividing, and finding the absolute value of integers.
1.
Have you ever taught a mathematics lesson using manipulatives?
Yes
2.
Have you ever taught a mathematics lesson that requires your students to draw a picture to solve a problem?
Yes
3.
No
No
Do you know what the CRA Sequence of Instruction is?
No
Yes
If you know what the CRA Sequence of Instruction is, please define it in Question 4 and then describe a mathematics lesson where this method of instruction
could be very effectively in Question 5. If you don’t know what the CRA Sequence of Instruction is, please skip Questions 4 and 5.
Trainer Notes (Hands-On Mathematics and the CRA Sequence of Instruction)
4.
Definition
_____________________________________________________________________________________________________________________________ ____
_________________________________________________________________________________________________________________________________
5.
Description of Mathematics Lesson
_____________________________________________________________________________________________________________________________ ____
____________________________________________________________________________________________________________
Time
Frame
Duration
Of
Activity)
Content
10 Minutes
Power Point
Course
Outline
Process/
Product
Script for each Content Area
Participant
Evaluation
Materials/
Resources
Assessment of Training Materials for
Specific
Activities
Objectives
Using the Power Point from Block 8, Slides 14, begin teaching lesson titled “Hands-on
Math and the CRA Sequence of Instruction.
1. Review Vocabulary
Pedagogy Pretest, PowerPoint –
Part II, counters, equation mats
Addends, Sum,
menuend, subtrahend,
difference, mixed/multiple
signs, factors, products, divisor,
dividend, quotients, absolute
value, opposites
Vocabulary:
Trainer Notes (Hands-On Mathematics and the CRA Sequence of Instruction)
20 Minutes
20 Minutes
15 Minutes
Power Point
45 Minutes
Power Point
2. Using Power Point – Block 8 (Slides 5-14),
teach adding integers using Concrete,
Representational and Abstract (CRA)
Sequence of Instruction. Make sure that you
use Equations and Counters for the Concrete
Method, drawings for the Representational
Method, and Mathematical Symbols for the
Abstract Method.
3. Using Power Point – Block 8 (Slides 1525), teach subtracting integers using
Concrete, Representational and Abstract
(CRA) Sequence of Instruction. Make sure
that you use Equations and Counters for the
Concrete Method, drawings for the
Representational Method, and Mathematical
Symbols for the Abstract Method.
3. Using Power Point – Block 8 (Slides 1525), teach multiplying and dividing integers
using Concrete, Representational and Abstract
(CRA) Sequence of Instruction. Make sure
that you use Equations and Counters for the
Concrete Method, drawings for the
Representational Method, and Mathematical
Symbols for the Abstract Method.
In Groups of 2-4, have students prepare their
own lesson using the CRA Sequence of
Instruction.
They can choose any topic, but they can only
Equation Mats and Counters
Trainer Notes (Hands-On Mathematics and the CRA Sequence of Instruction)
use the concrete or representational method in
their lesson. (Suggested topics are the
absolute value, rounding, comparing numbers,
and rational and irrational numbers)
45 Minutes
Lesson
Presentations
Please allow them 45 minutes to prepare a 5
minute lesson. Please timed them and restrict
their lesson to a liberal 10 minutes.
Have students to present their lessons.
Be liberal with their time restricting them to
10 minutes instead of 5 minutes.