importance of technology in the geometry
- 1. INSPIRING The use of diagrams, manipulatives, and technology in teaching and learning of Geometry
- 2. INSPIRING The use of diagrams, manipulatives, and technology in teaching and learning of Geometry
- 3. INSPIRING Diagrams in Geometry Diagrams can either be static representations or be dynamic. A diagram is a graphic representation designed to communicate information and are visual displays that use the important information in mathematical problems. They are typically used to demonstrate how the important information is related, and can be used to organize information as well as to compute the answer to a problem. A common type of diagram might be a drawing that a pupil creates to represent the objects within a problem.
- 4. INSPIRING Technology in teaching and learning of Geometry The Department of Basic Education has identified the need for the use of technology in teaching and learning and has developed The Professional Development Framework for Digital Learning. This Framework provides a fresh approach to the professional development of teachers and all stakeholders using digital tools and content resources to support improved learning outcomes and higher learner attainment in the curriculum.
- 5. INSPIRING Digital learning (which encompasses e-learning and mobile learning) describes learning that uses appropriate digital tools and resources to strengthen a teacher’s teaching and a learner’s learning experience resulting in more effective achievement of curriculum learning objectives. This Framework views digital learning as a more modern expression of “ICT integration”, which is itself a broader concept than “IT skills”. The White Paper on e-Education (2004) refers to e-learning taking place in “an environment where teaching is transformed and where learning is an ongoing, creative process.
- 6. INSPIRING
- 7. INSPIRING TPACK A framework for understanding the kinds of technological, pedagogical, and content knowledge applied by educators in a digital learning environment. The framework was created by Punya Mishra and Matthew J. Koehler at Michigan State University, and was based on the Pedagogical Content Knowledge Framework created by Lee Shulman.
- 8. INSPIRING The importance of Content- Specific Pedagogy In order to create technology-infused experiences that support active mathematics learning, educators must of course have pedagogical content knowledge (PCK)—an understanding of best practices specific to mathematics. One method a teacher can use to analyze the effectiveness of technology integration is the Technological Pedagogical Content Knowledge (TPACK) framework. This tool supports careful educator reflection on pedagogy, content, and technology not only as separate entities but as overlapping and intersecting domains.
- 9. INSPIRING TPACK emphasizes the purpose for incorporating technology; knowledge of students’ understandings, thinking, and learning; knowledge of curriculum and materials that integrate technology; and instructional strategies and representations that impact the teaching and learning of mathematics with technology (Neiss, 2005; Neiss et al., 2009). TPACK is considered a useful organizational structure to define what teachers need to know in order to effectively integrate technology in mathematics teaching and learning (Archambault & Crippen, 2009).
- 10. INSPIRING Physical/Concrete Manipulatives Manipulatives provide concrete ways for students to bring meaning to abstract mathematical ideas. They help students learn new concepts and relate new concepts to what they have already learned. They assist students with solving problems. When students explore with manipulatives, they have the opportunity to see mathematical relationships. They have tactile and visual models that help develop their understanding. Without these concrete references, students are too often lost in a chaos of abstract symbols for which they have no concrete connection or comprehension.
- 11. INSPIRING Reasons for Using Manipulatives in the Classroom List some reasons for using manipulatives in the teaching of Geometry in the Senior Phase
- 12. INSPIRING Some Examples of Physical manipulative List some examples of physical manipulatives. List some physical manipulatives that can be found in a classroom or in the home.
- 13. INSPIRING Virtual Manipulatives 1. Examples of dynamic geometry are The Geometer’s sketchpad and GeoGebra. Both are fee downloadable software. 2. There are many other Virtual manipulatives that you could use in a Geometry classroom.
- 14. INSPIRING Dynamic geometry software allows pupils to explore and learn geometrical facts through experimentation and observation. Pupils can construct figures on the screen and then explore them dynamically. When an independent point or line is dragged with the mouse, all dependent constructions remain intact. They can be used to understand what stays the same and what changes under different conditions. They can motivate pupils to explain and prove. Dynamic geometry software can be used in a variety of ways – Can you list some ways?
- 15. INSPIRING TASK Please study the notes on Technology in Geometry in conjunction with this PowerPoint presentation!