Positioning Students as Math Explorers with Technology

Associated with summer camp “Preparing Future Secondary Mathematics Teachers to Teach with Technology” offered by Jennifer Lovett & Allison McCulloch 

From Math Gifs by Ali on Medium

Guiding Questions

What does it mean to position students as math explorers with technology? 

In what ways can the use of math action technologies perpetuate or disrupt inequities in math classrooms?

What is your vision of high quality and equitable math instruction when math action technologies are being used? 

Pacing

This part should take you approximately 2 hours to complete.  

Prepare

If you are planning to take this course — and even if you’re not — we ask you to respond to the reflection prompt below before engaging with the rest of the asynchronous module. Those who join us for the camp will also reflect on this prompt at the end of the camp. You can reply in our Part 1 discussion thread here.

Imagine walking into a classroom where a teacher is using a technology-enhanced math task in a secondary math lesson. Describe in detail what you would see and hear that would indicate to you that the math instruction (including the use of math action technology) is high quality. In your response make sure you describe what you would expect to see and/hear from the teacher, students, and the math tasks. 

Watch: In this brief video (~ 4 mins) Jen and Allison provide a brief overview of what to expect in these workshop sessions broadly and then in this module specifically.

Explore

We’re going to begin by engaging in two different technology-enhanced math tasks. Work through each wearing both your student and teacher hat as you do so. As you explore, consider the similarities and differences between the two tasks.

Join our Desmos Class here. Complete the following:

Task 1: Introduction to Mean

Task 2: Introduction to Mean

Note: It will be helpful to open the tasks in different windows so you can easily compare and contrast them.  

Discuss: Compare and contrast the two tasks. Once you have entered your response you’ll be able to see what your colleagues noted in their comparisons. 

Watch: In this brief video (~ 5 mins) Jen and Allison discuss the similarities and differences between Task 1 and Task 2 their preservice teachers typically note.

Read: Read the Introduction to Part 1 and Chapter 1: Using Technology to Position Students as Math Explorers from McCulloch & Lovett (in press). Exploring Math with Technology: Practices for Secondary Teachers. As you work through the readings, make sure you explore the technology-enhanced tasks and videos that are included. To access the links noted in the text go here (as noted in the book). 

Note: You have been provided an early proof of the book to read here, please excuse the imperfections. Those who participate in this workshop will get their own copy of this book when it is released next month.

Apply

After completing the activities in the module above, head to the Part 2 discussion thread and address any / all of the following prompts:

In the text it was suggested that we think of students as math explorers. How might doing that influence the tasks PSTs select for students to engage with? Explain.

The text describes some of the ways that technology can be used to perpetuate inequities in math classrooms. Did any of those descriptions of inequity resonate with you? How might you use the examples in the text to discuss issues of equity with PSTs. 

If you asked your PSTs to answer the prompt we provided in the “Prepare” section, what would you hope they included in their descriptions?