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Mathematics

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Jan 9, 2024

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Part 1: Resource Learning Resource: Recycled Collage for Geometry Learning Introduction: Geometry is an important branch of mathematics that involves the study of shapes, their properties, and relationships. This learning resource uses recycled materials to create a collage that can be used in the classroom or early childhood setting to teach geometry concepts. Materials: Old magazines Wrapping paper Scissors Glue Cardboard or thick paper Instructions: 1. Cut out shapes from the old magazines and wrapping paper. Encourage the children to cut out a variety of shapes in different sizes and colors. 2. Glue the shapes onto the cardboard or thick paper to create a collage. 3. Ask the children to identify the shapes they used and to describe their properties, such as the number of sides, angles, and whether they are regular or irregular. 4. Use the collage to teach other geometry concepts such as symmetry, congruence, and transformations. Part 2: ICT-based Introduction Video Title: Let's Explore Geometry with a Recycled Collage Introduction: Hello, boys and girls! In this video, we will be exploring geometry by creating a collage using recycled materials. Geometry is the study of shapes and their properties, and we will be using this recycled collage to learn more about geometry. Focus of the Resource: This resource focuses on the geometry concepts such as shapes, their properties, symmetry, congruence, and transformations. With this resource, children will learn about different shapes, their properties, and explore how to use them to create their artwork. The resource is designed to promote hands-on, play-based learning, which can help children develop their creativity and problem- solving skills.
Using the Resource: To use this resource, children can follow these steps: 1. Gather old magazines, wrapping paper, scissors, glue, and cardboard. 2. Cut out shapes from the magazines and wrapping paper. Encourage children to cut out a variety of shapes in different sizes and colors. 3. Glue the shapes onto the cardboard to create a collage. Encourage children to explore different arrangements and combinations of shapes. 4. Once the collage is complete, ask the children to identify the shapes they used and to describe their properties, such as the number of sides, angles, and whether they are regular or irregular. 5. Use the collage to teach other geometry concepts such as symmetry, congruence, and transformations. Encourage children to explore how they can transform their collage by flipping, sliding, and rotating the shapes. Conclusion: Geometry is an exciting subject to learn, and using recycled materials to create a collage is a fun way to explore geometry concepts. By using this resource, children can not only learn about shapes and their properties but also contribute to environmental sustainability by recycling materials. I hope children enjoy creating their own recycled collage and exploring geometry with it! Geometry is a fundamental part of mathematics, which involves the study of shapes, their properties, and relationships. It is an essential area of mathematics, not only for understanding spatial relationships but also for developing critical thinking, problem-solving, and analytical skills. The use of play-based pedagogical approaches in teaching geometry concepts has been shown to be effective in promoting conceptual understanding and positive attitudes towards mathematics. The Recycled Collage for Geometry Learning resource is an excellent example of a play-based pedagogical approach that can be used to teach geometry concepts. It involves creating a collage using recycled materials, such as old magazines and wrapping paper, and using the resulting artwork to teach geometry concepts. In this justification, we will discuss why this resource is effective in teaching geometry concepts, how it is suitable for a play-based pedagogical approach, how the ICT-based introduction will scaffold engagement with the resource and enhance the mathematical potential of the resource, and how to assess children's learning. Effective Teaching of Geometry Concepts:
The Recycled Collage for Geometry Learning resource is effective in teaching geometry concepts because it promotes hands-on, experiential learning, which has been shown to be a highly effective teaching method for mathematics. Research has shown that hands-on, experiential learning is more effective than traditional, lecture-based teaching methods in promoting conceptual understanding, problem-solving skills, and positive attitudes towards mathematics (McNeil & Alibali, 2005; National Research Council, 2000). In addition, the use of recycled materials to create the collage is a highly engaging and motivating activity for children. It not only allows them to be creative but also teaches them about the importance of recycling and taking care of the environment. The resource also promotes a positive attitude towards mathematics by making the subject more accessible, enjoyable, and relevant to everyday life. Suitability for Play-based Pedagogical Approach: The Recycled Collage for Geometry Learning resource is highly suitable for a play-based pedagogical approach because it encourages children to explore geometry concepts through creative, hands-on, and experiential learning. Play-based pedagogy has been shown to be effective in promoting children's motivation, engagement, and learning outcomes in mathematics (Clements & Sarama, 2011; Ginsburg, Lee, & Boyd, 2008). Play-based pedagogy supports children's natural curiosity, exploration, and discovery by providing opportunities for them to learn through play and inquiry. The Recycled Collage for Geometry Learning resource allows children to explore geometry concepts through artistic expression and creativity, which is an ideal way to promote play-based pedagogy. Moreover, the resource provides a rich and authentic context for children to apply their knowledge and skills, which is essential for promoting deep and meaningful learning. Scaffolding Engagement with the Resource: The ICT-based introduction video titled "Let's Explore Geometry with a Recycled Collage" is an excellent way to scaffold engagement with the resource. The video provides an introduction to the resource, highlights its key features, and outlines how to use the resource to learn about geometry concepts. The video is an effective way to grab children's attention, motivate them, and scaffold their engagement with the resource. The video can be used to introduce children to the different shapes they will be using in the collage, such as triangles, squares, rectangles, and circles. It can also introduce children to geometry concepts such as symmetry, congruence, and transformations. The video can also be used to model different ways to cut and glue the shapes to create the collage.
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Enhancing Mathematical Potential of the Resource: The Recycled Collage for Geometry Learning resource has enormous potential to enhance children's mathematical understanding and skills. The resource promotes the development of a range of mathematical skills, such as spatial reasoning, measurement, and geometry. By Cutting and gluing are two important skills that can be developed through this resource. Children will need to use scissors to cut out different shapes from the magazines and wrapping paper, which will help to develop their fine motor skills and hand-eye coordination. They will also need to use glue to attach the shapes to the cardboard or thick paper, which will help to develop their spatial awareness and understanding of how different shapes can fit together. Moreover, cutting and gluing can also promote creativity and problem- solving skills as children explore different arrangements and combinations of shapes to create their collage. They will need to make decisions about the placement and orientation of each shape, which can help to develop their spatial reasoning and critical thinking skills. By engaging in these activities, children can develop their ability to think creatively and solve problems in a playful and interactive way. Research has shown that hands-on, play-based learning activities like this can be effective in promoting mathematical understanding and academic achievement in young children. For example, a study by Hupp and Bowers (2016) found that children who participated in a geometry-focused art activity showed greater improvement in their geometry skills compared to those who did not participate in the activity. This suggests that incorporating art activities like the recycled collage into the curriculum can enhance children's learning experiences and promote their understanding of geometry concepts. Additionally, the use of recycled materials in this resource promotes sustainability and environmental awareness, which are important topics for children to learn about in today's world. By repurposing old magazines and wrapping paper, children can learn about the benefits of recycling and reducing waste while engaging in a fun and educational activity. In terms of its suitability for a play-based pedagogical approach, the recycled collage resource allows for open-ended exploration and experimentation, which are key components of play-based learning. Children can use their imagination and creativity to create unique collages that reflect their own interests and personalities. They can also work collaboratively with their peers, sharing ideas and learning from each other in a supportive and engaging environment. The ICT-based introduction to the resource provides an additional scaffold for engagement with the resource and enhances the mathematical potential of the activity. By presenting the resource in a video format, children can see examples of how the collage can be used to explore
geometry concepts and get excited about the activity. The video can also provide visual cues and prompts to guide children's understanding and encourage them to think critically about the shapes they are using and the properties of those shapes. Assessing children's learning can be done in a variety of ways, depending on the learning objectives and goals of the activity. One way to assess children's understanding of geometry concepts is to ask them to identify the shapes they used in their collage and describe their properties, such as the number of sides, angles, and whether they are regular or irregular. This can be done through individual or group discussions or written reflections. Another way to assess children's learning is to ask them to create a new collage that incorporates specific geometry concepts, such as symmetry or congruence. This can help to reinforce their understanding of these concepts and provide opportunities for further exploration and experimentation. The learning resource of the recycled collage for geometry learning is linked to the Mathematics curriculum in several ways. In the early years of schooling, the Australian Curriculum (ACARA) sets out the learning goals for Mathematics under three main strands: Number and Algebra, Measurement and Geometry, and Statistics and Probability. The learning resource of the recycled collage specifically focuses on the Geometry strand of the curriculum, which aims to develop students' spatial sense and understanding of geometric properties, relationships, and transformations. Through the process of creating a recycled collage, students can achieve these learning goals by using old magazines and wrapping paper to cut out shapes and classify them according to their properties. The students can identify the shapes they used and describe their features, such as the number of sides, angles, and whether they are regular or irregular. They can also explore the properties of three-dimensional objects by layering and overlapping shapes to create a collage with depth. Furthermore, the use of the collage to teach other geometry concepts such as symmetry, congruence, and transformations aligns with the curriculum goal of investigating and describing the properties of two-dimensional shapes and three-dimensional objects. By exploring how they can transform their collage by flipping, sliding, and rotating the shapes, students can develop their understanding of transformations and develop their spatial reasoning skills.
In conclusion, the recycled collage resource is an effective and engaging way to teach geometry concepts to young children. By incorporating play-based pedagogy and promoting sustainability, this resource can enhance children's learning experiences and promote their understanding of important mathematical concepts. The ICT-based introduction provides an additional scaffold for engagement and the assessment strategies can help to ensure that learning objectives are met. Also, the learning resource of the recycled collage for geometry learning aligns with the Mathematics curriculum by providing students with opportunities to recognise and classify two- dimensional shapes and three-dimensional objects using obvious features, investigate and describe the properties of shapes, and explore transformations
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