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MYP 4- Mathematics- Mensuration- Promoting critical thinking and communicating information in a logical way- Nagarjuna

Objective of the Learning Engagement:

To promote critical thinking and communicating information in a logical way which helps in forming conjectures.

Details of the Learning Engagement:

Students have engaged in a practical application of both measurement and geometry concepts to determine the distances between each runner on the race track. The students used a measuring tape to measure the radius of the track and also the width of each lane.
Then students applied perimeter of the circle, arc formulae to check whether the race track is exactly 200 metres or not. In a relay race, the second runner always stands ahead than the first runner (runner in the inner most lane) and the third person stands ahead than the second person and so on..
Students have identified the reason for the same mathematically and they found how much each runner should stand ahead than the first runner. They organised this information logically and formed a conjecture in finding the distances between the nth runner and the first runner.
This formula had been verified with the already established formula given by PE department. There is a minute difference between the established model and the formula found by the students. Students have analysed the reason for the same in the real life scenario. This promoted their critical thinking and using information logically to form conjectures.

 


Impact of the engagement on students and reflection as a teacher:

This exercise not only reinforced students' understanding of measurement and geometry concepts but also encouraged critical thinking as they applied these concepts to a real-world scenario. Additionally, making conjectures allowed students to practice reasoning and hypothesis testing, which are essential aspects of mathematical problem-solving.



-Nagarjuna

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Comments

  1. Sunanda SandhirAugust 4, 2024 at 12:31 AM

    This is such a wonderful example of students effectively using geometry to identify the correct positioning of runners in a relay race, promoting critical thinking and the ability to apply theoretical knowledge in practical situations.I can see that it has encouraged students to form and verify their conjectures using logical reasoning fostered deeper learning and problem-solving skills.

    I was wondering how can you further support students in analyzing discrepancies between their findings and established models? And also how can you provide structured opportunities for students to reflect on their learning process and outcomes, promoting metacognitive skills and self-assessment.

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  2. NagaAugust 26, 2024 at 5:50 AM

    Thank you Ma'am for the positive feedback! I'm glad to see the students' efforts recognized.
    To further support students in analyzing discrepancies between their findings and established models, I have done error analysis session and also consultation talk with our PE teachers, which they have conformed their findings through a new formula.
    To promote metacognitive skills and self-assessment, I had asked students to write a report on their findings and they way they arrived to conclusions. This was done more with guided inquiry from me.

    ReplyDelete
  3. Bhavesh Mohanbhai BhadarakaOctober 16, 2024 at 10:15 PM

    Dear Mr. Nagarjuna Sir,

    Your engagement on measuring the relay race track provided a fantastic real-world application of geometry and measurement concepts. By forming and testing conjectures, students developed critical thinking and problem-solving skills. Verifying their findings with the PE department added further depth and real-life relevance. This hands-on approach effectively reinforced their understanding while promoting logical reasoning and analysis. Great work!

    ReplyDelete

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