Making Math Visual With Digital Apps and Google Workflow
Explore and create : BYOD
Tuesday, June 25, 3:15–4:15 pm
Tod Johnston Kailey Rhodes
Empower students to make their math visual with free digital versions of common K-5 manipulatives and models. Elevate your classroom technology use to externalize and share students’ mathematical reasoning with meaningful, flexible digital tools and Google workflows.
|Audience:||Coaches, Teachers, Technology coordinators/facilitators|
|Attendee devices:||Devices required|
|Attendee device specification:||Laptop: Chromebook, Mac, PC
Tablet: Android, iOS, Windows
|Participant accounts, software and other materials:||Attendees can access web-based, free apps within the session, or they can download the apps for free onto their devices. https://www.mathlearningcenter.org/resources/apps|
|Focus:||Digital age teaching & learning|
|Topic:||Online tools, apps and resources|
|ISTE Standards:||For Students:
|Disclosure:||The submitter of this session has been supported by a company whose product is being included in the session|
Participants will be introduced to the set of free Math Learning Center apps via hands-on activities and classroom-reproducible investigations. The virtual manipulatives—available as both iOS apps and web apps—parallel the most common physical manipulatives and models in elementary mathematics and can be flexibly used to deepen student understanding of foundational math concepts. The MLC apps empower students to make choices about the tools, models, and strategies they use to visualize and share their thinking.
In the session, participants will be challenged to “do the math” with an app of their choice and share their thinking with the group using Google Slides to facilitate an open math strategy share.
We will move this understanding towards effective classroom application, demonstrating the potential to extend in-class activities through the use of Google tools, including Slides, Forms, Drive, and Sites. Participants will explore classroom-tested, practical Google applications for this activity specifically, and for the math classroom in general. By the end of the session, participants will have a Google workflow with the MLC Apps to bring active (not passive) technology use into the math classroom and foster meaningful strategy shares and discussions.
Evidence of success include well-received presentations at both math and technology conferences including the OR Google Summit (2017), IntegratED (2018), TCEA (2018), and NCTM (2018). To gain a sense of the session content and instructional methods, to view the Google Site used at TCEA: bit.ly/appsformath
1. Warm-up: Energize and engage participants with Which One Doesn’t Belong Activity. Draw connection between visual models and mathematical reasoning. (5 min.)
2. What are the MLC Apps? Introduce The Math Learning Center apps through guided demonstration and compare and contrast with physical manipulatives. Give participants an opportunity to explore one or more apps in depth and consider classroom applications and use-cases and open exploration. (10 min)
3. Hands-On Math Solving: Participants work in pairs and small groups to choose an app and solve a upper elementary math problem. They add their solution to a collaborative Google Slide deck to share their strategy with the group. The whole group reviews and discusses the different visual models and solutions. (30 min)
4. Applications in the Math Class & the In-Class Google Workflow: Discuss how to implement the now-complete Google Slide deck as a class teaching and sharing tool. Explore other Google applications—including the use of Google Drive, Docs, Slides, and Forms—to provide several options to curate and extend student work. (15 min)
1. Clarity Innovations Blog: Using Visual Models to Spark Mathematical Discussion https://www.clarity-innovations.com/blog/krhodes/using-visual-models-spark-mathematical-discussion
2. Algebraic Thinking in Arithmetic Research Brief (NCTM): http://www.nctm.org/Research-and-Advocacy/Research-Brief-and-Clips/Algebraic-Thinking-in-Arithmetic/
3. Strategies for Discussion Research Brief (NCTM): http://www.nctm.org/Research-and-Advocacy/Research-Brief-and-Clips/Strategies-for-Discussion/
4. Children's Mathematics: Cognitively Guided Instruction by Carpenter et. al. (http://assets.pearsonschool.com/asset_mgr/current/20156/Carpenter_SampleChapter.pdf)
5. Math Learning Center www.mathlearningcenter.org
6. Jo Boaler www.youcubed.org