Math problems with GPT-4o

OpenAI
13 May 202403:12

TLDRIn a demonstration of OpenAI's new technology, a father and his son Imran engage with an AI tutor to solve a math problem on Khan Academy. The AI assists by asking guiding questions rather than providing direct answers, aiming to ensure Imran's understanding. They identify the sides of a right triangle relative to angle Alpha, determining side AC as adjacent and side AB as the hypotenuse. Using the sine formula, sin(Alpha) = opposite/hypotenuse, Imran calculates sin(Alpha) as 7/25. The session highlights the AI's ability to facilitate learning through interaction and logical deduction.

Takeaways

  • 😀 Open AI invited a father and his son Imran to test their new technology for tutoring in math.
  • 🔍 The father wants the AI to help his son understand the math problem without giving away the answer.
  • 👦 Imran is present in the room and can interact with the AI directly.
  • 📚 The first task is to identify the sides of the triangle relative to angle Alpha: opposite, adjacent, and hypotenuse.
  • 🧐 Imran initially struggles to identify the hypotenuse but eventually gets it right with guidance.
  • 📉 The hypotenuse is the longest side opposite the right angle, and side AC is the adjacent side to angle Alpha.
  • 🎯 Imran correctly identifies side BC as the opposite side to angle Alpha.
  • 📐 The formula for finding the sine of an angle in a right triangle is sine equals opposite over hypotenuse.
  • 📝 Imran applies the sine formula correctly to find sin Alpha as 7 over 25.
  • 👍 The AI successfully assists Imran in understanding the problem and encourages further questions.

Q & A

  • What is the purpose of the session described in the transcript?

    -The purpose of the session is to test Open AI's technology in tutoring a student in math, specifically on Khan Academy, without giving away the answer but by asking questions and guiding the student to understand the concept.

  • Who are the participants in the session?

    -The participants in the session are the narrator, their son Imran, and the AI assistant.

  • What is the initial task given to the AI assistant in the transcript?

    -The initial task given to the AI assistant is to help tutor Imran on a math problem by asking questions and guiding him without directly giving away the answer.

  • What is the first concept discussed in the transcript related to triangles?

    -The first concept discussed is identifying the sides of a triangle relative to a specific angle, specifically the opposite, adjacent, and hypotenuse sides with respect to angle Alpha.

  • What is the role of the hypotenuse in a right triangle?

    -The hypotenuse is the longest side of a right triangle and is directly opposite the right angle.

  • How does Imran initially identify the hypotenuse?

    -Imran initially guesses that side AC is the hypotenuse, but is corrected by the AI assistant who explains that AC is actually the adjacent side to angle Alpha.

  • What is the correct identification of the hypotenuse in the triangle discussed?

    -The correct identification of the hypotenuse is side AB, which is the longest side from A to B.

  • What is the formula for finding the sine of an angle in a right triangle?

    -The formula for finding the sine of an angle in a right triangle is sine = opposite side / hypotenuse.

  • How does Imran apply the sine formula to find angle Alpha?

    -Imran applies the sine formula by using the length of the opposite side BC, which is 7, and the hypotenuse AB, which is 25, to find that sin Alpha = 7/25.

  • What is the final outcome of the session as per the transcript?

    -The final outcome is that Imran successfully identifies the sides of the triangle and applies the sine formula correctly to find the sine of angle Alpha, demonstrating his understanding of the concept.

  • What is the encouragement offered by the AI at the end of the session?

    -The AI encourages Imran to ask more questions if he has any, indicating a supportive and interactive learning environment.

Outlines

00:00

👨‍👦 Father and Son Math Tutoring Session

In this paragraph, a father and his son Imran are introduced as they engage with Open AI's tutoring technology. The father requests that the AI assist his son with a math problem on Khan Academy without directly providing the answer, instead guiding him to understand the solution himself. The AI begins by asking the son to identify the sides of a right triangle relative to angle Alpha. Through a series of questions, the AI helps Imran correctly identify the hypotenuse (AB) and the opposite side (BC) to angle Alpha. The AI then prompts Imran to recall and apply the sine formula to find the measure of angle Alpha, which he successfully does, calculating sin(Alpha) = 7/25. The AI concludes by commending Imran's performance and offers further assistance if needed.

Mindmap

Keywords

💡Open AI

Open AI is a research lab and artificial intelligence company that develops and applies AI technologies to various fields, including natural language processing. In the script, Open AI is mentioned as the host of the event where the father and son are trying out new technology, specifically for tutoring in math.

💡Tutoring

Tutoring refers to the process of providing personalized instruction or guidance to help someone learn a particular subject. In the context of the video, the AI is being used as a tutor to guide the son through a math problem, aiming to enhance his understanding.

💡Khan Academy

Khan Academy is a non-profit educational organization that provides free online courses, lessons, and practice exercises in various subjects, including math. The script mentions Khan Academy as the platform where the math problem is sourced from, indicating it as a resource for learning.

💡Triangle

A triangle is a polygon with three sides and three angles. In the script, the triangle is the geometric figure being analyzed, with specific sides being identified as opposite, adjacent, and hypotenuse relative to angle Alpha.

💡Opposite side

In the context of triangles, the opposite side is the one that is directly across from a given angle. In the script, the son is trying to identify the opposite side to angle Alpha, which is a crucial step in solving the math problem.

💡Adjacent side

The adjacent side in a right-angled triangle is the side that is next to a given angle but not the hypotenuse. The script discusses the identification of the adjacent side to angle Alpha, which is necessary for understanding the triangle's properties.

💡Hypotenuse

The hypotenuse is the longest side of a right-angled triangle, which is opposite the right angle. In the video script, the son correctly identifies the hypotenuse as the side from A to B, which is essential for applying trigonometric functions.

💡Trigonometry

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right-angled triangles. The video script involves the use of trigonometric concepts to solve for the sine of angle Alpha.

💡Sine (sin)

The sine of an angle in a right-angled triangle is a trigonometric function that relates the angle to the ratio of the length of the opposite side to the length of the hypotenuse. In the script, the son applies the sine formula to find the value of angle Alpha.

💡Formula

A formula in mathematics is a concise way of expressing information symbolically as relations between quantities. The script mentions the sine formula, which is used to calculate the sine of angle Alpha by dividing the length of the opposite side by the length of the hypotenuse.

💡Understanding

Understanding refers to the ability to comprehend or grasp the meaning, nature, or underlying principles of something. The father in the script emphasizes the importance of the son understanding the math problem himself, rather than just being given the answer.

Highlights

Open AI invites a father and son to test new technology for tutoring in math.

The goal is to see how well GPT-4 can assist in tutoring on Khan Academy.

The father wants the AI to guide his son without giving away the answer.

The AI begins by asking the son to identify the sides of the triangle relative to angle Alpha.

The son identifies angle Alpha correctly.

The AI helps the son understand that side AC is the adjacent side to angle Alpha.

The son is unsure about identifying the hypotenuse.

The AI clarifies that the hypotenuse is the longest side opposite the right angle.

The son successfully identifies side AB as the hypotenuse.

The AI guides the son to identify the opposite side to angle Alpha as BC.

The son recalls the formula for finding the sine of an angle in a right triangle.

The AI confirms the son's understanding of the sine formula.

The son applies the sine formula to find sin Alpha using the sides identified.

The son calculates sin Alpha as 7 over 25, which the AI confirms as correct.

The AI praises the son for his great job in identifying sides and using the sine formula.

The session concludes with an open invitation for more questions.