PhET Interactive Simulations (https://phet.colorado.edu/), a project of the University of Colorado Boulder, provides fun, free, interactive, research-based science and mathematics simulations for use across, primary, secondary, and higher education levels. We extensively test and evaluate each simulation to ensure educational effectiveness. All simulations are open source and free to all students and teachers.
Number Sense for Primary Education with PhET Simulations
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深入了解一个主题并学习基础知识。
初级 等级
推荐体验
推荐体验
初级
This course is appropriate for pre-service and in-service kindergarten through second-grade teachers (approximately ages 5-7).
2 周 完成
在 10 小时 一周
灵活的计划
自行安排学习进度
深入了解一个主题并学习基础知识。
初级 等级
推荐体验
推荐体验
初级
This course is appropriate for pre-service and in-service kindergarten through second-grade teachers (approximately ages 5-7).
2 周 完成
在 10 小时 一周
灵活的计划
自行安排学习进度
您将学到什么
Develop familiarity with number sense through Number Play, Number Pairs, Number Compare, and Make a Ten PhET simulations.
Reflect on strategies to teach number sense: number talks, small groups, demos, storytelling, and predictions, while maximizing student talk.
Reflect on equitable strategies to support multilingual learners as they participate in math discourse practices.
要了解的详细信息
了解顶级公司的员工如何掌握热门技能
该课程共有12个模块
In this module, you will activate your prior knowledge of what it means to have number sense, and brainstorm ways to support all students.
涵盖的内容
2个视频10篇阅读材料8个作业3个讨论话题1个插件
2个视频•总计7分钟
- Teachers Summarize Their Reflections on Teaching Number Sense•2分钟
- Teachers Share Features Discovered in Number Play•6分钟
10篇阅读材料•总计17分钟
- Course Updates and Accessibility Support•1分钟
- Welcome!•1分钟
- Teaching Foundational Math•2分钟
- Teaching Number Sense•1分钟
- Poster Reflections•2分钟
- Open Play•5分钟
- Intentional Design Features of a PhET Simulation•1分钟
- Benefits of Open Play•2分钟
- Facilitation Tips for Open Play•1分钟
- Introducing the Next Modules•1分钟
8个作业•总计39分钟
- Activate Prior Knowledge•5分钟
- Practical Guidelines for Supporting Multilingual Students•2分钟
- Introduction to the Five Counting Principles•5分钟
- Principle #1: Standard Order•5分钟
- Principle #2: One to One Correspondence•5分钟
- Principle #3: Cardinality•5分钟
- Principle #4: Conservation of Cardinality•7分钟
- Principle #5: The Successor•5分钟
3个讨论话题•总计15分钟
- Supporting Multilingual Students while Building Number Sense•5分钟
- Features of Number Play•5分钟
- Benefits of Open Play•5分钟
1个插件•总计3分钟
- Pre-Survey•3分钟
It is common for many students–and their teachers–to approach math with some trepidation. This module aims to help you unpack how you and your students might approach math, and what you can do to shift from math anxiety toward mathematical curiosity and joy.
涵盖的内容
1篇阅读材料1个作业2个讨论话题
1篇阅读材料•总计5分钟
- K-2 Teacher Responses•5分钟
1个作业•总计5分钟
- Math Identity•5分钟
2个讨论话题•总计9分钟
- Reflecting on Your Own Math Identity•5分钟
- Building Students’ Positive Math Identities•4分钟
In this module, you will learn the importance of providing a strong foundation of number sense for early mathematics learners, specifically to diverse populations.
涵盖的内容
2篇阅读材料2个讨论话题
2篇阅读材料•总计8分钟
- Teaching Diverse Student Populations - Multilingual Learners•3分钟
- Asset Versus Deficit Thinking•5分钟
2个讨论话题•总计10分钟
- My Context•5分钟
- Multilingual Learners in Your Classroom•5分钟
In this module, you will learn how to effectively facilitate a lesson using the Number Play simulation.
涵盖的内容
8个视频19篇阅读材料1个作业17个讨论话题
8个视频•总计32分钟
- Teachers Engaging with Drag and Count•4分钟
- Teachers Discussing the New Arrangement of 18•6分钟
- My Mystery Number Setup•1分钟
- Changing Puppy Arrangements with Play Area Closed•1分钟
- Teachers Discuss Representations in My Mystery Number•4分钟
- Teachers Analyze Knowledge and Brainstorm Facilitation Moves•5分钟
- Teachers’ Discoveries from the Lab Screen, and 13 - 8 Solutions•7分钟
- Teachers Discuss Contexts•4分钟
19篇阅读材料•总计70分钟
- Introduction to the Activity•1分钟
- Drag and Count (Part I)•10分钟
- Drag and Count (Part II)•5分钟
- Mapping Drag and Count to Standards•3分钟
- Drag and Count Lesson Plan•1分钟
- Establishing a Growth Mindset •4分钟
- My Mystery Number•1分钟
- My Mystery Number (Part I) •2分钟
- Cognitive Dissonance•1分钟
- Mapping the Standards to My Mystery Number•5分钟
- My Mystery Number Lesson Plan•1分钟
- Facilitation Moves•1分钟
- Student Scenario with My Mystery Number•10分钟
- Lab Screen Open Play•5分钟
- Lab Screen Design•2分钟
- Introduction to Subtraction Stories•5分钟
- Subtraction Stories •10分钟
- Mapping the Standards to Subtraction Stories•2分钟
- Subtraction Stories Lesson Plan•1分钟
1个作业•总计20分钟
- Mathematical Mindset•20分钟
17个讨论话题•总计85分钟
- Pause – Analyze as a Student•5分钟
- Pause – Analyze as a Teacher•5分钟
- Pause – Analyze as a Student•5分钟
- Pause – Analyze as a Teacher•5分钟
- Pause – Analyze as a Teacher•5分钟
- Pros and Cons to Secretly Manipulating the Puppies’ Arrangement•5分钟
- Connecting Cognitive Dissonance to Growth Mindset•5分钟
- Reflecting on Standards•5分钟
- My Mystery Number (Part II)•5分钟
- Analyze My Mystery Number•5分钟
- Analyzing the Student Scenario•5分钟
- Extending the Student Scenario•5分钟
- Lab Screen•5分钟
- Pause – Analyze as a Student•5分钟
- Lab Screen and 13 – 8•5分钟
- Reflecting on the Lab Screen•5分钟
- Final Reflection on Number Play•5分钟
In this module, you will learn how to effectively facilitate a lesson utilizing the simulation, Number Pairs, which will continue to build a foundation for composing and decomposing numbers within 0-20, and adding two numbers to create sums from 0-20. Multiple contexts allow for learners to engage in two problem types in which both addends are unknown: location-based and attribute-based (Champagne et al., 2014). In location-based problems, the addends are separated in distinct ways, such as in separate piles, or on the left and right side of a simulation. In attribute-based problems, the addends are distinguished by an attribute, such as color. Number Pairs includes both problem types to better connect to each student’s thinking, regardless of how they visualize two addends. Reference: Champagne, Z. M., Schoen, R., & Riddle, C. M. (2014, September). Variations in both addends unknown problems. Teaching Children Mathematics, 21(2), 114–121.
涵盖的内容
6篇阅读材料5个讨论话题
6篇阅读材料•总计50分钟
- Open Play with Number Pairs•5分钟
- How Many Apples?•10分钟
- How Many Apples? (continued)•10分钟
- How Many Apples? (continued)•10分钟
- How Many Apples? (continued)•10分钟
- Setup and Lesson Plan for How Many Apples?•5分钟
5个讨论话题•总计25分钟
- Reflecting on Open Play•5分钟
- Pause - Reflect as a Learner•5分钟
- Pause - Reflect as a Teacher•5分钟
- Pause - Reflect as a Teacher•5分钟
- Reflect on How Many Apples?•5分钟
In this module, you will learn how to leverage the functionality of Number Compare to support students’ learning of how to compare numbers in multiple ways.
涵盖的内容
4个视频16篇阅读材料8个讨论话题
4个视频•总计12分钟
- Teachers Debrief Number Compare Open Play•3分钟
- Teacher Solutions for True or False?•4分钟
- Teachers Debrief True or False? Extensions•3分钟
- Teachers Brainstorm How to Establish 1-to-1 Correspondence•1分钟
16篇阅读材料•总计75分钟
- Open Play with Number Compare•5分钟
- Summarizing Number Compare Open Play•1分钟
- Activity 1: True or False?•2分钟
- Teacher Solutions for True or False?•1分钟
- Mapping the Standards to True or False?•4分钟
- Extending True or False?•5分钟
- Preparing for a Video•10分钟
- Lesson Plan for True or False?•4分钟
- Introduction to Compare the Vertical Number Line•2分钟
- Mapping the Standards to Compare Vertical Number Line•3分钟
- Facilitation of Compare the Vertical Number Line•10分钟
- Pause - Reflect as a Teacher•3分钟
- Facilitation of the Lesson Continued•10分钟
- Lesson Plan: Compare the Vertical Number Line•3分钟
- Introducing Two More Puppies•2分钟
- Two More Puppies Vignette•10分钟
8个讨论话题•总计41分钟
- Reflecting on Open Play•5分钟
- Pause - Reflect as a Learner•5分钟
- Reflect as a Teacher on True or False?•5分钟
- True or False?•5分钟
- Pause - Reflect as a Learner•3分钟
- Reflect: Compare the Vertical Number Line•8分钟
- Compare and Contrast Question Types•5分钟
- Summarizing Number Compare•5分钟
In this module, you will learn about PhET’s teaching philosophy and how this philosophy is supported with meaningful sim-based lessons.
涵盖的内容
1个视频12篇阅读材料4个讨论话题
1个视频•总计5分钟
- PhET Founder on the Impact of Simulations•5分钟
12篇阅读材料•总计16分钟
- Foundations of PhET’s Teaching Philosophy•1分钟
- Positive Learning Environment and Equity•2分钟
- PhET’s Philosophy and Relationship to Learning Environment and Equity •1分钟
- PhET’s Equity Framework•2分钟
- Relevance, Representation, and Accessibility •2分钟
- Active Learning with PhET as a Foundation for Equity •2分钟
- Address Students’ Prior Knowledge •1分钟
- Connect to Context •1分钟
- Support Collaboration•1分钟
- Promote Belonging •1分钟
- Provide Scaffolding•1分钟
- Assessments as Learning Opportunities•1分钟
4个讨论话题•总计20分钟
- Equity in Your Classroom•5分钟
- Reflecting on Positive Learning Environment •5分钟
- Equity Framework•5分钟
- Active Learning•5分钟
In this module, we now return to sample lessons, with which you will learn how to effectively facilitate a lesson utilizing another simulation called Make a Ten.
涵盖的内容
4个视频15篇阅读材料10个讨论话题
4个视频•总计15分钟
- Teachers Debrief Open Play with Make a Ten•6分钟
- Number Talk with Make a Ten•3分钟
- Watch a Student Play with Make a Ten•4分钟
- Teachers Debrief Video of Student Playing•2分钟
15篇阅读材料•总计70分钟
- Make a Ten Simulation•2分钟
- Open Play with Make a Ten•5分钟
- Choral Counting•5分钟
- Mapping the Standards to Choral Counting•2分钟
- Choral Counting Lesson Plan•2分钟
- What is Greater or Less? (Part I – Lesson Setup)•5分钟
- Which is Greater or Less? (Part II – Lesson Discourse)•5分钟
- Which is Greater or Less? (Part III - Selecting and Sequencing)•5分钟
- Which is Greater or Less? (Part IV – Summarizing)•10分钟
- Mapping the Standards to What is Greater or Less?•1分钟
- Which is Greater or Less? Lesson Plan•1分钟
- What Is a Number Talk?•2分钟
- Number Talk with 12•5分钟
- Watch a Number Talk (Part I)•18分钟
- Observing Students•2分钟
10个讨论话题•总计50分钟
- Reflecting on Open Play•5分钟
- Analyze Choral Counting•5分钟
- Pause - Reflect as a Teacher•5分钟
- Pause - Analyze as a Student•5分钟
- Pause - Analyze as a Teacher•5分钟
- Selecting and Sequencing•5分钟
- Which is Greater or Less?•5分钟
- Number Talks with Make a Ten•5分钟
- Observing Students•5分钟
- Final Reflection for Make a Ten•5分钟
In this module, you will learn how to build effective sim-based lessons in different contexts.
涵盖的内容
17篇阅读材料6个讨论话题
17篇阅读材料•总计74分钟
- Lesson Types•2分钟
- Learning Goals•5分钟
- Teacher-Led Investigation (TLI)•1分钟
- Student-Led Investigation (SLI)•2分钟
- Combining TLI and SLI•1分钟
- Prediction Questions vs. Challenge Prompts•5分钟
- Open Play with Area Builder•5分钟
- Prediction Questions (Part I)•5分钟
- Prediction Questions (Part II)•10分钟
- Summary of Facilitation a Prediction Question•3分钟
- Challenge Prompts (Part I)•5分钟
- Challenge Prompts (Part II)•2分钟
- Challenge Prompt via an SLI (Part I)•5分钟
- Challenge Prompt via an SLI (Part II)•15分钟
- Challenge Prompt Summary•1分钟
- Summarizing Facilitation of a Challenge Prompt•3分钟
- Challenge Prompt Types•4分钟
6个讨论话题•总计30分钟
- Write Example Learning Goals•5分钟
- Reflecting on Open Play•5分钟
- Benefits of Prediction Questions•5分钟
- Pause - Provide Your Solution•5分钟
- Benefits of Challenge Prompts and Prediction Questions•5分钟
- Create a Challenge Prompt•5分钟
In this module, you will learn about resources available on the PhET website that can support you as you plan to use simulations with your students.
涵盖的内容
7篇阅读材料1个作业1个讨论话题
7篇阅读材料•总计32分钟
- Teacher Access to PhET Sims•5分钟
- Student Access to PhET Sims•2分钟
- Create a PhET Teacher Account•5分钟
- Using Teacher Tips•5分钟
- Example Customized URLs•5分钟
- Customize a URL•5分钟
- Activities for Number Play•5分钟
1个作业•总计2分钟
- Activities for Number Play•2分钟
1个讨论话题•总计5分钟
- Using a Customization Option•5分钟
This module is a summary and wrap-up of the simulations and resources with which you have engaged in this course. As you think about your experience with the simulations and accompanying lessons, reflect on ways the sims and lessons support student confidence, agency, ownership, growth mindset, and positive mathematical identity in all learners.
涵盖的内容
4篇阅读材料1次同伴评审2个讨论话题
4篇阅读材料•总计67分钟
- Key Concepts•2分钟
- Planning a Lesson•5分钟
- Choose Your Sim and Draft Your Lesson!•30分钟
- Supporting Multilingual Learners - Applying the Practice•30分钟
1次同伴评审•总计60分钟
- Submit Lesson and Peer Review Others' Lessons•60分钟
2个讨论话题•总计10分钟
- Synthesizing the Concepts•5分钟
- Brainstorming Other Activities•5分钟
In this module, you will take appropriate steps to complete the course and download your certificate.
涵盖的内容
1篇阅读材料1个作业1个插件
1篇阅读材料•总计1分钟
- Get Your Certificate•1分钟
1个作业•总计20分钟
- Self-Assessing against Learning Objectives•20分钟
1个插件•总计5分钟
- Course Evaluation•5分钟
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University of Colorado Boulder
CU Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies.
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