Developing Computer Assisted Instruction in the Pythagorean Theorem
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The document discusses developing a computer assisted instruction program focused on teaching the Pythagorean theorem using an investigative approach. It outlines strategies for teaching key topics related to the Pythagorean theorem through exploration and problem solving using different types of computer assisted instruction like drill and practice, tutorials, simulations, and instructional games. The document also discusses advantages and disadvantages of using computer assisted instruction and provides examples of investigations and activities that could be included in the program.
Developing Computer Assisted Instruction in the Pythagorean Theorem
- 1. DEVELOPING COMPUTER ASSISTED INSTRUCTION IN THE PYTHAGOREAN THEOREM TOPIC WITHIN INVESTIGATIVE APPROACH Written by Yosep Dwi K.
- 2. INVESTIGATIVE APPROACH The essence of an investigative approach is the application of communication, reasoning, operational and recording processes to a study of the core topics which make up the content of a mathematics curriculum.–Frobisher (1994)
- 3. TEACHERS’ ACTION Demonstrate how to approach various aspects of the investigative processes. Become the socializing force in helping pupils become mathematically literate by encouraging them to question, to challenge and learn anything about the real mathematical behavior
- 4. Listen to pupils so that teachers can understand pupils' beliefs about learning, the experiences they bring to specific inquiries, and to gain insight into the meanings and connections pupils construct during inquiries. Initially give children 'short' investigations which provide short term rewards.
- 5. PUPILS’ ACTION Become active members of a community of practice who share the responsibility of planning, conducting and reflecting on their inquiries with other members; Listen and negotiate with others; and Must have mutual trust between peers and the teacher so that mathematical thinking is shared freely.
- 7. WHAT IS IT? A teaching tool that involves the use of a computer program or programs to facilitate the education of a group of students. (www.questia.com) Instruction or remediation presented on a computer. (www.readingrockets.org) A kind of tutorial implication in which a computer helps the learner(s) to present material and acts a tutor. Using a branching model of lessons in this process, the computer presents information, asks questions, and gives feedback. (Konukman, 2003)
- 8. TYPES OF CAI Drill and Practice Tutorial Simulation Instructional Game Problem Solving
- 9. STRATEGIES UNDERLYING EACH OF THE CAI FUNCTIONS Function Instructional Uses Strategy Directed Constructivist Drill and Practice Skill practice Tutorial Information delivery Simulation Demonstration Exploration Instructional Game Skill practice Exploration Problem Solving Skill Practice Exploration
- 10. ADVANTAGES AND DISADVANTAGES The student can choose his own way and speed. The program can be stopped at any time. The program can be repeated as often as the usher wishes. The computer is not judgmental. The student can learn from his mistakes without embarrassment. Saves time for the teacher (in the long term). The students are more activated. Weak students are favored. Starting costs are high. The staff needs to be trained. Students have to be familiarized with the medium.
- 11. PROTOTYPE The Theorem of Pythagoras The Converse of Pythagorean Theorem Two Special Right Triangles Story Problems Distance in Coordinate Geometry
- 12. THE THEOREM OF PYTHAGORAS INVESTIGATION BY DISSECTION CONCLUSION OF THEOREM MAKING PARAGRAPH PROOF EXAMPLE
- 13. THE CONVERSE OF PYTHAGOREAN THEOREM Investigation: Is the Converse True? Conclusion of the Converse Developing Proof Algebra Connection: Radical Expressions
- 14. • Investigation I: Isosceles Right Triangle • Conclusion • Investigation II: 30°- 60°-90° Triangle • Conclusion TWO SPECIAL RIGHT TRIANGLE ?
- 15. The space diagonal of cube problem The cracked redwood problem A frame cabin problem A regular hexagonal prism problem Work and force in inclined plane (science connection) STORY PROBLEM
- 16. Introduction with a problem Investigation: The Distance Formula Conclusion Example: Finding the perimeter of triangle on Cartesian coordinate plane DISTANCE IN COORDINATE GEOMETRY (12, 23) (20, 29)
- 17. PREVIEW