Welcome Part 1 Part 2 Optional Videos
Welcome to Module 1: Mathematical Argumentation!
The purpose of this module is to develop and deepen your understanding of what mathematical argumentation, its purposes in the discipline of mathematics, and to start thinking about its purposes in the mathematics classroom. Once we’re clearer on what it is and its role, we can be more deliberate about how we organize our own students’ mathematical activity and be clearer about our goals for students.
Module 1 introduces you to mathematical argumentation. In the first part you will work to establish a shared definition of argumentation. In the second part you will visit a third grade classroom to watch argumentation in action and then analyze students’ written arguments.
The goals of Module 1 include:
Part 1: What is a Mathematical Argument
A. Establish a shared definition of argumentation
B. Identify different approaches to an argument
Part 2: Mathematical Argumentation in the Classroom
A. Connect argumentation to a classroom context
B. Analyze student work samples
Module 1: PART 1: What is a mathematical argument?
1. Introduction: What is a mathematical argument?
Please download and watch our Introduction to “What is a mathematical argument?“
2a. Argumentation Activity: Getting to Know You
Please download and watch the Getting to Know You slide and the worksheet (in word or pdf)
2b. Direct Debriefing on Argumentation Activity: Commentaries on Micah, Angel, & Roland
Click on the links below to hear commentary on each student sample.
- Commentary on Micah
- Commentary on Angel
- Commentary On Roland
- Summary Comments Consecutive Sums Arguments
3. Part 1 Wrap-Up and Takeaways
This video will summarize the key points from Part 1 of Module 1.
Please download and watch the Wrap Up Video.
Module 1: PART 2: Mathematical Argumentation in the Classrooms
The goals of Part 2 include:
A. Connect argumentation to a classroom context
B. Analyze student work samples
2.1. Introduction
Please download and watch the Introduction slides.
2.2. Why teachers value argumentation
Why do you value argumentation in your classrooms?
Video 1: The power of argumentation
Video 2: Why do teachers value argumentation?
2.3. Argumentation in Action: Is It a Half?
2.3.1. Overview
Please download and watch the Argumentation in Action Slides.
A. Guiding Questions for the Video ClipsPlease download and read the Guiding Questions for the Video Clips document. |
B. Task and Task Cards: Is It a Half?Please download and read the Task and Task Cards document. |
C. How to Watch a Classroom Video
Please download and watch the How to Watch a Classroom Video slides. |
D. Background on Class for VideoPlease download and read the Background on Class for Video document. |
2.3.2. Activities
A. Clip 1Is it a Half? |
B. Clip 2What makes something a half? |
C. Clip 3a. Developing a counting strategyb. Using the counting strategy, and continuing to make sensec. Argumentation and error detection |
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| Please download and watch the Is It a Half Clip 1 slides. | Please download and watch the Is It a Half Clip 2 slides. | Please download and watch the Is It a Half Clip 3 slides. |
| Please download and read the Transcript of Is It a Half Clip 1 document. | Please download and read the Transcript of Is It a Half Clip 2 document. | Please download and read the Transcript of Is It a Half Clip 3 document. |
Please watch the Is It a Half video.
https://youtu.be/gOgRzbM14ao
2.3.3. Summary of Is It a Half
Please download and watch the Summary of Is It a Half slides.
2.4. Secondary Task: Student Work samples
As the video focused on an elementary classroom, we have included some secondary work samples here. Please do the task, review the work samples, and use the page of guiding questions to reflect on and discuss the students’ work samples. After discussing, click on the educreations video for some project commentary on the student work samples. More detailed discussion of individual work samples has also been included.
2.4.1. Inverses Task
Please download and read the Inverses Task document.
2.4.2. Student Work Inverse
Please download and read the Student Work Inverses document.
2.4.3. Commentary on Student Work Inverses
Please download and watch the Commentary video.
2.4.4. Commentary on Inverses Talk Frame
Please download and read a word or a pdf document.
2.5. Connection to Practice
Please download and watch the Connection to Practice slides.
* Optional Videos
Video 1: Making the Case: Mathematical Argumentation
Produced by WGBH Education on 2014. 6. 18.
This video from the Making the Case: Teaching Mathematical Argumentation collection introduces Common Core Standard #3 for Mathematical Practice: “Construct viable arguments and critique the reasoning of others,” and provides context about implementing the standard in your classroom practice. Reflections from teachers and from math education experts are also included.
https://www.youtube.com/watch?v=pVdH91NkEzM
Video 2: 7 into 28 by Abbott & Costello
https://www.youtube.com/watch?v=MS2aEfbEi7s