Translations

Code	Language		Translator	Run

Credits

This email address is being protected from spambots. You need JavaScript enabled to view it.; Francisco Esquembre; Felix_J_Garcia_Clemente

Briefing Document: "Part Part Whole Primary Math Model" - Open Educational Resources / Open Source Physics @ Singapore

Date: October 27, 2023

Subject: Review of the "Part Part Whole Primary Math Model" resource from the Open Educational Resources / Open Source Physics @ Singapore website.

1. Overview

This document reviews the "Part Part Whole Primary Math Model" resource, a component of a larger collection of interactive educational materials hosted on the Open Educational Resources / Open Source Physics @ Singapore website. This particular resource focuses on primary school mathematics, specifically fractions, and is presented as an interactive simulation embedded in the webpage using an iframe. It’s part of a broad effort to provide accessible and engaging educational tools.

2. Main Themes and Key Ideas:

• Focus on Primary Math: The core focus of the resource is on foundational mathematical concepts for primary school students. Key areas include:
• Fractions of a Whole
• Equivalent Fractions
• Mixed Numbers and Improper Fractions
• Fractions of a Set of Objects
• Interactive Learning: The resource utilizes a simulation, likely created using Easy Java/JavaScript Simulation (EJS), to provide an interactive experience for students. The embed code suggests that the model is a visual representation of part-whole relationships, allowing for a more hands-on approach to learning fractions.
• Open Educational Resources: This is clearly part of a larger initiative to provide open educational resources, emphasizing accessibility and the potential for sharing and adaptation. The site is licensed under a Creative Commons Attribution-Share Alike 4.0 Singapore License.
• Technology Integration: The use of an iframe embed and HTML5 applets showcases the integration of technology into educational practice. This model is a simulation rather than a static lesson.
• Part of a Larger Ecosystem: This resource is one of many tools that are shared on this site, which goes beyond just mathematics. It contains physics simulations and learning resources. This suggests a commitment to creating a robust collection of interactive learning tools across various disciplines.

3. Key Facts & Details:

• Location: Part of the "Open Educational Resources / Open Source Physics @ Singapore" website.
• Subject Matter: Primary school mathematics, specifically fractions (fractions of a whole, equivalent fractions, mixed numbers and improper fractions, fraction of a set of objects).
• Format: Interactive simulation embedded using an iframe.
• Technology: Built with Easy JavaScript/Java Simulation (EJS).
• Licensing: Creative Commons Attribution-Share Alike 4.0 Singapore License. Commercial use of EasyJavaScriptSimulations Library requires contacting This email address is being protected from spambots. You need JavaScript enabled to view it. directly.
• Contributors: The credits list Francisco Esquembre; Felix_J_Garcia_Clemente.

4. Notable Features:

• Interactive Simulation: The inclusion of an interactive simulation is key. This is a hands on digital learning tool that helps the user understand the mathematical principles. The source code snippet https://iwant2study.org/lookangejss/math/ejss_model_part1part2whole//part1part2whole_Simulation.xhtml provides a direct link to the simulation.
• Extensive Resource Collection: The sheer number of simulations, resources and articles linked demonstrates the breadth and depth of this open educational resource project. This resource is a small part of a huge repository of simulations and learning tools. The document lists examples such as "EJS Lorentz Force 3D Java Applet Simulation Model", "Primary Kinematics or Moving Car 1D JavaScript HTML5 Applet Simulation Model" and many more in both mathematics and physics, some of which go beyond the primary level and explore upper level subjects.
• Collaborative Approach: The presence of multiple authors and workshop leaders indicates a collaborative approach to resource creation and development. These include mentions of Prof Douglas Brown, Wolfgang Christian, Prof Francisco Esquembre, and Fu-Kwun Hwang.
• Awards and Recognition: The project has received various awards including the "UNESCO King Hamad Bin Isa Al-Khalifa Prize for the Use of ICTs in Education," highlighting its impact and quality.

5. Quotes from the Source:

• About Section: While the exact "SIMU_DESC" (simulation description) is not visible, the page structure implies this section should contain details on the specific simulation.
• For Teachers: The "SIMU_TEACHER" section is expected to hold information and guidance for educators on how to use the simulation effectively in the classroom.
• Software Requirements: The "SIMU_SWREQ" section would specify any software prerequisites for using the simulation.
• Licensing: "Contents are licensed Creative Commons Attribution-Share Alike 4.0 Singapore License."

6. Potential Uses

• Direct Classroom Use: The main goal is to use these resources in the classroom. This is clearly explained in the various sections of the webpage such as the "Sample Learning Goals" and the "For Teachers" sections.
• Teacher Training: These simulations can serve as training material for teachers to understand the mathematical concepts they will teach.
• Curriculum Development: The models can be incorporated into or used as a model for curriculum development.

7. Conclusion

The "Part Part Whole Primary Math Model" is a valuable interactive resource for teaching foundational fraction concepts. The use of a simulation provides an engaging way for primary school students to understand part-whole relationships. It's part of a larger, well-established ecosystem of open educational resources emphasizing collaboration, technological innovation, and accessibility. The project's recognition through awards further underscores its value and impact on education.

Part-Part-Whole Model Study Guide

Quiz

Instructions: Answer each question in 2-3 sentences.

1. What is the primary purpose of the Part-Part-Whole model in mathematics?
2. In the context of fractions, how does the Part-Part-Whole model help students understand the relationship between the numerator and the denominator?
3. According to the text provided, what types of mathematical concepts can be taught using the Part-Part-Whole model?
4. The text provides an embedded simulation. How does this interactive element contribute to the learning process?
5. Beyond the math classroom, where might a Part-Part-Whole model be useful in problem-solving?
6. The webpage lists various simulations. What common thread do you notice in their subject areas?
7. What are some of the tools and technologies mentioned alongside the Part-Part-Whole model?
8. The text lists some awards. What do these awards suggest about the website and its resources?
9. How does the website support both teachers and students?
10. What is the significance of the Creative Commons license mentioned at the end of the text?

Answer Key

1. The Part-Part-Whole model is primarily designed to help students understand the relationship between parts and a whole, which is foundational for various mathematical operations. It visualizes how two or more parts combine to form a total whole.
2. The model helps students see the numerator as the part(s) being considered, while the denominator represents the total number of equal parts that make up the whole. This visual aid clarifies that a fraction is a part of a whole.
3. The Part-Part-Whole model can be used to teach fractions, including equivalent fractions, mixed numbers, improper fractions, and the concept of a fraction of a set of objects. The provided simulation specifically supports understanding fractions.
4. The interactive simulation allows students to manipulate the model, providing a hands-on, visual approach to learning. This type of engagement can deepen understanding by allowing students to explore concepts dynamically rather than passively.
5. The model can be applied to real-world situations involving dividing objects or quantities, understanding percentages, or any situation where analyzing a whole in terms of its component parts is helpful for problem solving.
6. The simulations are heavily science based, exploring subjects like gravity, electromagnetism, mechanics, and nuclear physics. They also demonstrate the use of mathematics to model physics concepts.
7. The text mentions JavaScript, HTML5, Easy JavaScript Simulation, Java applets, Tracker, Geogebra, and Desmos. These are all tools used to create interactive simulations and modeling tools.
8. The awards suggest that the website and its resources are recognized for their innovation and contribution to education, emphasizing quality and effective educational techniques.
9. The website includes sample learning goals and teacher-focused materials, demonstrating a commitment to supporting both students' learning and teachers' lesson planning and implementation.
10. The Creative Commons license means that the materials on the website can be freely shared and adapted for educational use as long as proper attribution is given. It also means that modified versions have to be shared under a similar license. This promotes widespread access to and reuse of educational resources.

Essay Questions

Instructions: Answer each of the following questions in essay format. There is no minimum or maximum word count, but be sure to thoroughly and completely answer each question.

1. Discuss the advantages and potential limitations of using the Part-Part-Whole model as a primary tool for teaching mathematics to young learners. Consider factors such as cognitive development, diversity in learning styles, and the model’s adaptability to more complex mathematical concepts.
2. Analyze how the blend of interactive simulations and mathematical models on the website exemplifies a constructivist approach to learning. In what ways does this method facilitate deeper understanding compared to traditional instruction?
3. The website integrates a variety of resources including simulations, models, and open-source tools. How does this interconnected ecosystem of learning materials support educators in creating more engaging and effective instruction?
4. Reflect on the impact of open educational resources (OERs) like those found on this website on the accessibility and quality of education. Consider factors such as cost, customization, and the role of collaboration in the development of OERs.
5. Based on the resources and information you've seen, discuss the interplay between mathematics and the sciences, particularly physics, and how these subjects inform and support each other on this site.

Glossary of Key Terms

Part-Part-Whole Model: A visual model used primarily in mathematics to represent how two or more parts combine to form a whole. It's especially helpful in understanding addition, subtraction, and fractions.

Open Educational Resources (OER): Educational materials that are freely available for anyone to use, adapt, and share. This includes textbooks, simulations, lesson plans, and other types of learning materials.

Interactive Simulation: A computer-based model that allows users to manipulate variables and observe the outcomes. This active engagement enhances understanding and learning.

JavaScript/HTML5: Programming languages and web development technologies used to create interactive content and web applications. These are commonly used for online simulations.

Java Applet: A small program that runs within a web browser. In this case, used for the creation of educational simulations.

Creative Commons License: A set of licenses that allow creators to grant others permission to use their work while maintaining specific rights. These are important for sharing educational materials and intellectual property in an open and accessible way.

Constructivism: A learning theory that suggests learners build knowledge through active engagement with their environment and by constructing their own understanding, rather than simply receiving information passively.

Tracker: A software tool used for video analysis. It allows users to track the motion of objects and create data that can be used in educational simulations and analysis.

Geogebra and Desmos: Free online mathematical tools and graphing calculators. They help students visualize math concepts.

About

[SIMU_DESC] 

Sample Learning Goals

[text]

 

For Teachers

[SIMU_TEACHER]

Software Requirements

[SIMU_SWREQ]

Translation

[text]

Research

[text]

Video

 Part whole simulation math model by lookang lawrence wee, me and my daughter testing the learning with the app

Credits

[SIMU_CREDITS]

Version:

[text]

Other Resources

[text]

FAQ: Part-Part-Whole Model and Interactive Simulations in Education

1. What is the Part-Part-Whole model, and how is it typically used? The Part-Part-Whole model is a primary mathematics teaching strategy, particularly useful for understanding fractions. It visually represents a whole divided into parts, allowing learners to grasp concepts like fractions of a whole, equivalent fractions, mixed numbers, and fractions of a set of objects. This model provides a foundational approach to understanding the relationships between parts and the whole, which is essential for various math concepts.
2. What kinds of interactive simulations are available on the provided platform, and what subjects do they cover? The platform offers a wide range of interactive simulations covering topics such as physics and mathematics. These include simulations of kinematics, gravity, electromagnetic fields, optics, waves, and various mathematical models (e.g. the Part-Part-Whole Model). There are simulations for both primary and secondary levels, featuring concepts like free fall, projectile motion, oscillations, and more advanced topics like the photoelectric effect and nuclear decay. There are also simulations that leverage real-world data capture such as Tracker.
3. What is the role of interactive simulations in learning, as suggested by the platform's resources? Interactive simulations are presented as a valuable learning tool for visualizing and exploring abstract scientific and mathematical concepts. These simulations encourage active learning, where students can manipulate variables and observe the direct effects on the system, reinforcing their understanding of underlying principles. These tools move from simply observing to more in depth experimentation.
4. What is EJS (Easy Java Simulation), and how does it relate to the simulations on this platform? Easy Java Simulation (EJS) is a software tool used for creating interactive simulations, many of which are featured on this platform. EJS facilitates the design and modeling of interactive physics and mathematics simulations, enabling instructors and students to create custom learning experiences. EJS supports and promotes open education practices as the library is open source.
5. What are some of the featured tools or resources on the platform for instructors and students? The platform provides numerous interactive JavaScript/HTML5 applet simulations. There are also additional tools like Tracker video analysis software and Desmos Modeling Tool. There's a collection of simulations, modelling tools, and teaching aids. The inclusion of student response systems (like Nearpod) suggests a focus on interactive teaching and assessment, fostering engagement and participation in classroom activities.
6. How does the platform promote the use of open educational resources (OER)? The platform is a significant OER hub, evidenced by its Creative Commons Attribution-Share Alike 4.0 Singapore License. This licensing encourages the free sharing, adaptation, and use of the materials. The variety of topics and subjects addressed on the platform suggest that sharing free resources for educational practices is a central mission. There is a focus on making educational resources accessible.
7. What awards and recognitions has this platform received and what do they signify? The platform has received several prestigious awards including a UNESCO King Hamad Bin Isa Al-Khalifa Prize for the Use of ICTs in Education, Ministry of Education Service Excellence Awards and Ministry of Education Outstanding Innovator Awards. These awards highlight the platform's innovative approach to integrating technology in education and signify the platform's commitment to excellence in using technology to enhance the quality of education.
8. What types of real-world modeling can be done on this platform using the Tracker tool and what types of data does it capture? The Tracker tool facilitates video analysis and modeling of real-world phenomena, allowing users to study motion and interactions. Examples include analyzing the motion of objects such as bouncing balls, pendulums, cars, projectiles, and even human motion during sports or everyday activities. It allows for the generation of data and visual representations of how objects are moving as well as the relationship between different objects, thereby bringing a sense of hands-on experimentation that encourages learning. The analysis often includes visual representations like graphs.