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.