MEDIA PEMBELAJARAN MATEMATIKA GPP(GAPURA PENYELESAIAN PERMUTASI)

Summary

This video presentation by Aditya Wardana and Muhammad Syahrir Rizki, from the Mathematics Education Program at Universitas Islam Majapahit, introduces a media tool for solving permutation problems. The tool, referred to as 'Gapura,' includes components such as a tiered structure with hooks and a number board that allows for visualizing and calculating permutations. Through a practical example of selecting and arranging a committee from 10 candidates for 4 positions, the media demonstrates how to compute permutations, resulting in the answer 5040. The video showcases how this interactive tool aids in teaching and understanding permutation problems.

Takeaways

• 😀 Aditya Wardana and Muhammad Syahrir Rizki presented a media tool called BPP or gapura for solving permutation problems.
• 😀 The media tool consists of several components that help visualize and solve permutation problems.
• 😀 The main component is the gapura (arch), which has five levels with varying numbers of hangers (2, 3, 4, 5, and 6).
• 😀 The gapura is positioned on the right side as support for the media and plays a central role in the explanation.
• 😀 The number board (Papan Angka) is used to represent known and unknown values, with red and green sections.
• 😀 Red areas on the number board indicate unknown numbers, while green areas represent known values.
• 😀 The result board (Papan Hasil) is used to display the final result of the permutation calculation.
• 😀 The permutation problem involves selecting a leadership team of 4 members (Chairperson, Vice Chairperson, Secretary, and Treasurer) from 10 candidates.
• 😀 To solve the problem, the number board is filled with values starting from 10 and decreasing sequentially (10, 9, 8, 7).
• 😀 The result of the permutation calculation (10 × 9 × 8 × 7) is 5040, representing the number of ways to form the leadership team.

Q & A

What is the main purpose of the media presented in the script?

The main purpose of the media is to assist in solving permutation problems using a tool called 'gapura,' which helps visualize and calculate permutations step by step.

Who are the presenters of this media demonstration?

The presenters are Aditya Wardana and Muhammad Syahrir Rizki, who are from the Mathematics Education Program at the Faculty of Teacher Training and Education at Universitas Islam Majapahit.

What components are included in the 'gapura' media?

The 'gapura' media includes a structure with five levels, each containing a different number of hooks, a numbered board with red and green colors to represent different values, and a white board to write the results of the calculation.

How is the 'gapura' media structured and used to represent permutations?

The structure consists of a supporting column, five levels, each with a varying number of hooks. The lowest level has two hooks, and each subsequent level has one more hook, representing the stages of selecting candidates in a permutation problem.

What do the red and green numbers on the board represent?

The red numbers represent the total number of possible candidates, while the green numbers represent the selected candidates during the calculation of permutations.

How do the presenters explain the use of the media for solving a permutation problem?

They use a specific example problem involving selecting four officers (chairperson, vice chairperson, secretary, and treasurer) from a pool of 10 candidates, explaining how to fill in the numbers and perform multiplication to find the total number of possible arrangements (permutations).

What is the significance of the white board in the media?

The white board is used to write down the final result of the permutation calculation, showing the outcome of the problem-solving process.

What example problem is used in the presentation to demonstrate the permutation calculation?

The example problem is about forming a leadership team (chairperson, vice chairperson, secretary, and treasurer) from 10 candidates and calculating how many ways the team can be formed.

How do the presenters calculate the number of possible permutations in the example?

The presenters begin by placing the number 10 at the leftmost position, followed by 9, 8, and 7 in the subsequent positions. They then multiply these numbers (10 * 9 * 8 * 7) to get the total number of permutations, which is 5040.

What was the final result of the permutation calculation presented in the video?

The final result of the calculation was 5040, which represents the total number of ways to arrange the four officers from the pool of 10 candidates.