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Advance Early Multilingual Learners’ Intuitive Number Sense with PhET Interactive Simulations

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Colorado Convention Center, Mile High Ballroom 2C

Explore and create: Deep-dive Creation lab
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Presenters

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Math and Statistics Education Specialist
PhET Interactive Simulations, CU Boulder
Catherine designs math and statistics simulations at PhET Interactive Simulations, and also enjoys creating and facilitating meaningful PD for K-12 math teachers with the goal of illuminating hidden mathematics in curriculum. During her 20-year tenure as a secondary mathematics instructor, she twice earned the Superintendent’s Excellence in Education award and the district’s Innovative Curriculum Award. Catherine earned her B.S. in Mathematics and B.S. in Computer Science Engineering, her M.A. in Curriculum and Instruction, and her Secondary Teaching Certificate from Michigan State University, and her Ed.D from the University of Northern Colorado.
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Senior Math Specialist
University of Colorado Boulder
@McGarryMath
Amanda McGarry is a senior specialist at University of Colorado Boulder's PhET project. She leads simulation design for new math simulations, works with teachers to design sim-based activities, and provides teacher resources such as sim-specific tips and teacher preparation videos. Amanda brings 6 years of math teaching experience, primarily in Brooklyn, NY. She holds a MA in Math Education from New York University and a BA in Mathematics. Amanda has previously presented about PhET simulations at the ISTE annual conference and the National Council of Teachers of Mathematics annual conference.

Session description

Make counting, cardinality and subitizing engaging for early multilingual learners. Interactive simulations invite students to play with numbers in a scaffolded environment. Simulations read aloud in multiple languages, link representations and update dynamically as students compose/decompose numbers. Explore strategies for creating sim-based activities that build numeracy and agency.

Purpose & objective

Interactive simulations are an engaging tool that promotes student inquiry, mathematical communication, and investigative thinking. Specifically, PhET Interactive Simulations have intentional scaffolding to help students actively make sense of numbers and multiple representations.

The purpose of this session is to explore multiple research-based simulations and sim-based lessons focusing on counting, cardinality, composing, decomposing, subitizing, addition, and place value. Multiple ways to represent numbers are incorporated into sims (e.g., group of objects, ten frame, numeral, and spoken). Participants will examine ways to address the mathematical practices by exploring multiple simulation scenes and analyzing/creating sample lessons. Presenters will use think-pair-share and whole group discussions.

Participants will leave with in-depth knowledge of facilitation strategies that can be paired with interactive simulations as well as sim-based lessons that can be implemented immediately. Lesson plans include open play, guided inquiry challenge prompts, and summary discussion questions.

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Outline

15 minutes
Introduction to PhET simulations with participants engaging directly with sample simulations on their devices. This will be followed by inviting participants to share their discoveries and model the importance of open play as a way to invite agency, curiosity, and creativity while knowledge building.

25 minutes
Engage with two sim-based lessons to highlight ways in which simulations support deep thinking about number sense and counting principles.

20 minutes
Reflect on lesson strategies and watch videos of students engaging with simulations to confirm and build new knowledge. The videos will be debriefed to elevate facilitation strategies, notice opportunities to reinforce student thinking, and brainstorm probing questions to meet students where they are.

20 minutes
Challenge prompt exercise. Share strategies for writing engaging, inquiry-based challenge prompts that encourage students to be owners of their sim use, while getting all students to the same learning goals. Participants will write their own challenge prompts and share with their neighbors and the whole group.

10 minutes
Summarize and conclude. Participants will reflect on the power PhET simulations provide to support student inquiry and agency, as well as guiding students to be creators of their own knowledge and effective communicators.

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Supporting research

Since 2002, PhET has developed interactive sims through research, co-design, and user testing, advancing educational technology design and what is known about how learners make sense of STEM concepts. PhET simulations are a leading STEM resource and have broad adoption by STEM teachers (annually: ~125 million uses in the US, ~250 million uses globally). PhET has been supported by seven research grants from the National Science Foundation.

There is substantial and growing evidence that teachers’ adoption of PhET simulations does much more than create an inquiry-based learning environment. In classrooms using simulations, norms often shift from teacher-centered instruction to student-centered learning (Atabas et al., 2020; Moore et al., 2013 & 2014). These shifts are in line with effective pedagogical practices for active learning that educational research has shown to have a positive impact on student learning (Moore, et. al, 2014).

Each sim page includes PhET-made and community-submitted lessons, providing teachers opportunities to use simulations with discipline-specific pedagogical approaches aiming to increase student equity through engagement. Lesson types include Interactive Lecture Demonstrations (Sharma et al., 2010; Sokoloff & Thornton, 2006), Concept Questions and Peer Instruction (Mazur, 1997; Tullis & Goldstone, 2020), and the creation and facilitation of effective small-group activities. Many PhET simulations additionally have inclusive features to support students who have learning differences and physical disabilities (Moore, 2015).

References

Atabas, S., Schellinger, J., Whitacre, I., Findley, K., & Hensberry, K. (2020). A tale of two sets of norms: Comparing opportunities for student agency in mathematics lessons with and without interactive simulations. The Journal of Mathematical Behavior, 58, 100761.

Mazur, E. (1997). Peer instruction: A user’s manual. Prentice Hall.

Moore, E. B. (2015). Designing accessible interactive chemistry simulations. ConfChem: Interactive Visualizations for Chemistry Teaching and Learning.

Moore, E. B., Carpenter, Y.-Y., Parson, R., & Perkins, K. (2014). From Demonstrations & Clicker Questions to Guided-Inquiry Activities: Resources for Integrating PhET Simulations into Introductory Chemistry Courses General Resources for Teaching with PhET Simulations Resources for Teaching with Specific PhET Chemistry, 1–6. https://confchem.ccce.divched.org/sites/confchem.ccce.divched.org/files/2014FallCCCENLP5.pdf

Moore, E. B., Herzog, T. A., & Perkins K. K. (2013). Interactive simulations as implicit support for guided inquiry. Chemistry Education Research and Practice, 3.

Sharma, M., Johnston, I., Johnston, H., Varvell, K., Robertson, G., Hopkins, A., Stewart, C., Cooper, I., & Thornton, R. (2010). Use of interactive lecture demonstrations: A ten year study. Physical Review Special Topics Physics Education Research, 6(2), 020119.

Sokoloff, D. R. & Thornton, R. K. (2006). Interactive lecture demonstrations: Active learning in introductory physics. Wiley.

Tullis, J. G. & Goldstone, R. L. (2020). Why does peer instruction benefit student learning? Cognitive Research: Principles and Implications, 5, 15.

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Session specifications

Topic:
Student agency, choice and voice
Grade level:
PK-2
Skill level:
Beginner
Audience:
Coaches, Teachers, Teacher education/higher ed faculty
Attendee devices:
Devices required
Attendee device specification:
Smartphone: Android, iOS, Windows
Laptop: Mac, PC, Chromebook
Tablet: Android, iOS, Windows
Participant accounts, software and other materials:
Attendees may use any internet-connected device to access the website: https://phet.colorado.edu/. Although individuals may create a free teacher account to access teacher materials, this is NOT required for full participation in this session.
Subject area:
Math
ISTE Standards:
For Educators:
Designer
  • Design authentic learning activities that align with content area standards and use digital tools and resources to maximize active, deep learning.
Facilitator
  • Model and nurture creativity and creative expression to communicate ideas, knowledge or connections.
For Students:
Empowered Learner
  • Students use technology to seek feedback that informs and improves their practice and to demonstrate their learning in a variety of ways.