# Meetings

### May 14, 2022

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Logan Knudsen (TAMU)

Title: Double Latin Squares

Abstract: We will inspect a variation of the traditional Latin Square, known as the Double Latin Square, where the player will attempt to arrange n colors and n numbers such that each row and column has only one of each color and number.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Dr. Maurice Rojas (TAMU)

Title: Dividing, conquering, and detecting compositeness

Abstract: "Divide and conquer" is a useful trick in many important algorithms. We'll see two examples: One coming from computational geometry and the other from cryptography. The first example is the computation of convex hulls in the plane (a construction useful in robotics). The second example involves deciding whether a number is composite (i.e., not prime) *without* factoring the number. This turns out to be useful for securely sending credit card numbers over the internet.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Dr. Maurice Rojas (TAMU)

Title: Dividing, conquering, and detecting compositeness

Abstract: "Divide and conquer" is a useful trick in many important algorithms. We'll see two examples: One coming from computational geometry and the other from cryptography. The first example is the computation of convex hulls in the plane (a construction useful in robotics). The second example involves deciding whether a number is composite (i.e., not prime) *without* factoring the number. This turns out to be useful for securely sending credit card numbers over the internet.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### April 30, 2022

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: David Manuel (TAMU)

Title: Proofs Without Words

Abstract: There are many patterns in mathematics.  Is it possible to represent these entirely in pictures?  What can a seven year-old math whiz teach us about these?  In this session, we will discover some of these patterns and how to represent them entirely in pictures, including a well-known theorem about a certain type of triangle.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: David Manuel (TAMU)

Title: Proofs Without Words

Abstract: There are many patterns in mathematics.  Is it possible to represent these entirely in pictures?  What can a seven year-old math whiz teach us about these?  In this session, we will discover some of these patterns and how to represent them entirely in pictures, including a well-known theorem about a certain type of triangle.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: David Manuel (TAMU)

Title: Proofs Without Words

Abstract: There are many patterns in mathematics.  Is it possible to represent these entirely in pictures?  What can a seven year-old math whiz teach us about these?  In this session, we will discover some of these patterns and how to represent them entirely in pictures, including a well-known theorem about a certain type of triangle.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### April 23, 2022

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Dr. Nick Treuer (TAMU)

Title: Blue Dot Solitaire

Abstract: In this activity, we will investigate what are the essential conditions for beating the game "Blue Dot Solitaire" developed by the Julia Robinson Mathematics Festival.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Logan Knudsen (TAMU)

Title: Double Latin Squares

Abstract: We will inspect a variation of the traditional Latin Square, known as the Double Latin Square, where the player will attempt to arrange n colors and n numbers such that each row and column has only one of each color and number.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Logan Knudsen (TAMU)

Title: Double Latin Squares

Abstract: We will inspect a variation of the traditional Latin Square, known as the Double Latin Square, where the player will attempt to arrange n colors and n numbers such that each row and column has only one of each color and number.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### April 9, 2022

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Sheagan John (TAMU)

Title: Modular Arithmetic and Special Magic Squares

Abstract: A whole number N is called summable of length n if it has a special kind of digit representation, which we will define in our activity. We will investigate how to construct summable numbers of varying length, prove some statements about them, and introduce a notion of Magic Squares using summable numbers.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Sheagan John (TAMU)

Title: Modular Arithmetic and Special Magic Squares

Abstract: A whole number N is called summable of length n if it has a special kind of digit representation, which we will define in our activity. We will investigate how to construct summable numbers of varying length, prove some statements about them, and introduce a notion of Magic Squares using summable numbers.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Soumendra Ganguly (TAMU)

Title: Graceful Graphs

Abstract: For graphs with m edges, we will label their vertices with some subset of integers from 0 to m ensuring that no two vertices have the same label. To an edge, the endpoints of which have already been labelled, a value equal to the absolute value of the difference between the labels of its endpoints will then be automatically assigned. To obtain a graceful graph, we have to label the vertices in such a way that the edges end up having all the values from 1 to m.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### March 26, 2022

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Matthew Atanas (TAMU)

Title: Search and Rank

Abstract: We will be modeling a basic search engine by analysing some simple webpages that link to each other to find out which webpages are the most 'popular'. We will expand this concept to explore the math of Markov Chains.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Matthew Atanas (TAMU)

Title: Search and Rank

Abstract: We will be modeling a basic search engine by analysing some simple webpages that link to each other to find out which webpages are the most 'popular'. We will expand this concept to explore the math of Markov Chains.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Matthew Atanas (TAMU)

Title: Search and Rank

Abstract: We will be modeling a basic search engine by analysing some simple webpages that link to each other to find out which webpages are the most 'popular'. We will expand this concept to explore the math of Markov Chains.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### March 5, 2022

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Nick Treuer (TAMU)

Title: Colored Loops

Abstract: We will explore modular arithmetic (and secretly cyclic groups) using the JRMF application Colored Loops.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Nick Treuer (TAMU)

Title: Colored Loops

Abstract: We will explore modular arithmetic (and secretly cyclic groups) using the JRMF application Colored Loops.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Nick Treuer (TAMU)

Title: Colored Loops

Abstract: We will explore modular arithmetic (and secretly cyclic groups) using the JRMF application Colored Loops.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Feb. 19, 2022

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Dr. Phil Yasskin

Title: Pop Tac Toe

Abstract: We will play the game Pop Tac Toe in which two players alternately place checkers on a checker trying to get three in a row. The complication is that when a piece is placed on the board, any pieces on adjacent spaces fly away.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Alexander Riedel

Title: Fibonacci Sequences, Recursions, and the Chicken McNugget Theorem

Abstract: What is the Fibonacci sequence? What can we figure out about its terms? What other sequences can we make if we switch up the first terms? We will explore these sequences and how to construct numbers from them. Extensions of these topics will get into more complicated recursions and the Chicken McNugget Theorem.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Alexander Riedel

Title: Fibonacci Sequences, Recursions, and the Chicken McNugget Theorem

Abstract: What is the Fibonacci sequence? What can we figure out about its terms? What other sequences can we make if we switch up the first terms? We will explore these sequences and how to construct numbers from them. Extensions of these topics will get into more complicated recursions and the Chicken McNugget Theorem.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Feb. 12, 2022

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Nick Treuer

Title: River Crossings

Abstract: We will begin with the classic game of bringing a goat, wolf, and cabbage all safely in a small boat to the opposite side of a river.  We will then consider variations of the game by adding Zombies and Monsters.  We will vary the size of our boat that transports our passengers and use this activity to discuss prime numbers.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Nick Treuer

Title: River Crossings

Abstract: We will begin with the classic game of bringing a goat, wolf, and cabbage all safely in a small boat to the opposite side of a river.  We will then consider variations of the game by adding Zombies and Monsters.  We will vary the size of our boat that transports our passengers and use this activity to discuss prime numbers.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Nick Treuer

Title: River Crossings

Abstract: We will begin with the classic game of bringing a goat, wolf, and cabbage all safely in a small boat to the opposite side of a river.  We will then consider variations of the game by adding Zombies and Monsters.  We will vary the size of our boat that transports our passengers and use this activity to discuss prime numbers.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Feb. 5, 2022

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Dr. Phil Yasskin (TAMU)

Title: Painting Cubes

Abstract: We paint a 3x3x3 cube. Then we cut it into 1x1x1 cubes. How are the small cubes colored?

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Dr. Phil Yasskin (TAMU)

Title: Painting Cubes

Abstract: We paint a 3x3x3 cube. Then we cut it into 1x1x1 cubes. How are the small cubes colored?

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Dr. Phil Yasskin (TAMU)

Title: Painting Cubes

Abstract: We paint a 3x3x3 cube. Then we cut it into 1x1x1 cubes. How are the small cubes colored?

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Nov. 20, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Erika Gonzalez Brizuela (Texas A&M)

Title: Switching Lightbulbs

Abstract: We will be exploring factorization patterns through a game where all of the lightbulbs are turned off, and when a person walks down the hallway, they pull the string of certain lights to turn them on based on the number on their shirt. We will predict and prove solutions to scenarios with a small fixed number of lightbulbs and look into patterns to solve larger quantities.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Erika Gonzalez Brizuela (Texas A&M)

Title: Switching Lightbulbs

Abstract: We will be exploring factorization patterns through a game where all of the lightbulbs are turned off, and when a person walks down the hallway, they pull the string of certain lights to turn them on based on the number on their shirt. We will predict and prove solutions to scenarios with a small fixed number of lightbulbs and look into patterns to solve larger quantities.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Matthew Atanas (Texas A&M)

Title: Euclidean Motions in the Plane (Part III)

Abstract: We will continue to explore and do proofs regarding Euclidean Motions in R^2.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Nov. 6, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Priyanga Ganesan (Texas A&M)

Title: Wolves and Sheep

Abstract: We will be playing a combinatorial game on an nxn square involving wolves and sheeps. The wolves can eat any sheep that they see horizontally, vertically or diagonally. Our goal is to arrange them on the square in a way that all sheep are safe from the wolves. We will explore winning strategies for the game and learn some cool counting techniques along the way.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Dr. JD Kim (Texas A&M)

Title: Human vs. Computer or Human with Computer

Abstract: In this talk we will discuss the limits of humans and the limits of computers, and the power we will see when humans use computers wisely and powerfully.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Dr. Sherry Gong (Texas A&M)

Title: TBA

Abstract: TBA

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Oct. 23, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Logan Knudsen (Texas A&M)

Title: Minesweeper Investigation

Abstract: Students will investigate the computer game Minesweeper in a competition to see who are the best players, as well as work to identify any patterns they see as they play. Students will learn if Minesweeper is a game of logic or just chance by the end of the activity.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Logan Knudsen (Texas A&M)

Title: Minesweeper Investigation

Abstract: Students will investigate the computer game Minesweeper in a competition to see who are the best players, as well as work to identify any patterns they see as they play. Students will learn if Minesweeper is a game of logic or just chance by the end of the activity.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Logan Knudsen (Texas A&M)

Title: Minesweeper Investigation

Abstract: Students will investigate the computer game Minesweeper in a competition to see who are the best players, as well as work to identify any patterns they see as they play. Students will learn if Minesweeper is a game of logic or just chance by the end of the activity.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Oct. 9, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Dr. Shoo Seto (CSUF)

Title: The Möbius Strip

Abstract: We will be learning about the Möbius strip and what it means to have a surface with only one side. Some paper, scissors and tape will help but is not strictly necessary.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Sheagan John (Texas A&M)

Title: Tiling Grids

Abstract: We will investigate the possibility of coloring an n x n  grid with three distinct colors given that there exists no chain of same-colored adjacent blocks with length k. Whether such a task is possible will be shown to depend both on the grid size and the value of k.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Sheagan John (Texas A&M)

Title: Tiling Grids

Abstract: We will investigate the possibility of coloring an n x n  grid with three distinct colors given that there exists no chain of same-colored adjacent blocks with length k. Whether such a task is possible will be shown to depend both on the grid size and the value of k.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Oct. 2, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Cristian Andrei (Texas A&M)

Title: Towers of Hanoi

Abstract: The Tower of Hanoi was invented in 1883. It consists of three rods and a number of disks of different sizes, which can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod with the smallest disk at the top. The objective of the puzzle is to move the entire stack to another rod, obeying the following rules: (1) Only one disk can be moved at a time; (2) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; (3) No larger disk may be placed on top of a smaller disk. We will discuss the most efficient solution to the game and, time permitting, a more general version and its solution.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Cristian Andrei (Texas A&M)

Title: Towers of Hanoi

Abstract: The Tower of Hanoi was invented in 1883. It consists of three rods and a number of disks of different sizes, which can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod with the smallest disk at the top. The objective of the puzzle is to move the entire stack to another rod, obeying the following rules: (1) Only one disk can be moved at a time; (2) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack or on an empty rod; (3) No larger disk may be placed on top of a smaller disk. We will discuss the most efficient solution to the game and, time permitting, a more general version and its solution.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Matthew Atanas (Texas A&M)

Title: Euclidean Motions in the Plane

Abstract: We will explore and do proofs regarding Euclidean Motions in R^2.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

### Sept. 25, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Jonathan Aberle (Texas A&M)

Title: Juice Jumble

Abstract: We will be studying a game where you move around glasses of juice to sort them by color. We'll start by looking for a strategy to win, then move on to variations on the game and looking for formulas for the fastest solution.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Jonathan Aberle (Texas A&M)

Title: Juice Jumble

Abstract: We will be studying a game where you move around glasses of juice to sort them by color. We'll start by looking for a strategy to win, then move on to variations on the game and looking for formulas for the fastest solution.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Jonathan Aberle (Texas A&M)

Title: Juice Jumble

Abstract: We will be studying a game where you move around glasses of juice to sort them by color. We'll start by looking for a strategy to win, then move on to variations on the game and looking for formulas for the fastest solution.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Sept. 18, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Dr. John Treuer (Texas A&M)

Title: Prime Cubes

Abstract: Can you place the numbers 1 through 8 on the vertices of a cube so that adjacent vertices sum to a prime number? We will be exploring this and other fun related questions this weekend!

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Dr. John Treuer (Texas A&M)

Title: Prime Cubes

Abstract: Can you place the numbers 1 through 8 on the vertices of a cube so that adjacent vertices sum to a prime number? We will be exploring this and other fun related questions this weekend!

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Dr. John Treuer (Texas A&M)

Title: Prime Cubes

Abstract: Can you place the numbers 1 through 8 on the vertices of a cube so that adjacent vertices sum to a prime number? We will be exploring this and other fun related questions this weekend!

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### Sept. 11, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM) (Pre-Algebra and below)

Speaker: Dr. Phil Yasskin (Texas A&M)

Title: Diagonals

Abstract: We will count the number of diagonals in a rectangular grid with certain restrictions on which diagonals to count.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM) (in Algebra I or above)

Speaker: Dr. Phil Yasskin (Texas A&M)

Title: Diagonals

Abstract: We will count the number of diagonals in a rectangular grid with certain restrictions on which diagonals to count.

Discovery Learning: Advanced Group (3.30 - 5.00 PM) (in Algebra II or above)

Speaker: Dr. Phil Yasskin (Texas A&M)

Title: Diagonals

Abstract: We will count the number of diagonals in a rectangular grid with certain restrictions on which diagonals to count.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Dr. Irina Bobkova (Texas A&M), Dr. Guangbo Xu (Texas A&M) Dr. Peyam Tabrizian (Texas A&M)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Dr. Jinmin Wang (Texas A&M), Dr. Rodrigo Matos (Texas A&M), and Xiaoyu Su (Texas A&M)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Andrew Yu, Dr. Sherry Gong and Dr. Zhizhang Xie (Texas A&M)

### May 15, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Joshua Goldstein (TAMU)

Title: Penguin Island

Abstract: In this activity we will discuss Bayes’ Theorem and some more interesting questions from probability. No prior knowledge of probability or Bayes’ Theorem is assumed.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Joshua Goldstein (TAMU)

Title: Penguin Island

Abstract: In this activity we will discuss Bayes’ Theorem and some more interesting questions from probability. No prior knowledge of probability or Bayes’ Theorem is assumed.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Joshua Goldstein (TAMU)

Title: Penguin Island Returns (Bayesian Version)

Abstract: In this activity we will discuss Bayes’ Theorem and some more interesting questions from probability. No prior knowledge of probability or Bayes’ Theorem is assumed.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### May 8, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Logan Knudsen (TAMU)

Title: Arranging Skyscrapers

Abstract: We will help the City Planner to arrange skyscrapers so that certain rules and condition set out by the City Council are met.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Dr. Phil Yasskin (TAMU)

Title: Counting Diagonals

Abstract: We will try to count how many diagonals can fit in a n x n square grid so that no two touch.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Dr. Phil Yasskin (TAMU)

Title: Counting Diagonals

Abstract: We will try to count how many diagonals can fit in a n x n square grid so that no two touch.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### April 24, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Prof. Lauren Rose (Bard College)

Title: Quads, a SET-like game with a twist

Abstract: We will learn how to play Quads and then explore some of the math behind it.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Prof. Lauren Rose (Bard College)

Title: Quads, a SET-like game with a twist

Abstract: We will learn how to play Quads and then explore some of the math behind it.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Prof. Lauren Rose (Bard College)

Title: Quads, a SET-like game with a twist

Abstract: We will learn how to play Quads and then explore some of the math behind it.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### April 17, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: David Manuel (TAMU)

Title: Pigeonhole Problems

Abstract: In this activity, we will learn what the Pigeonhole Principle is and use it to solve problems of varying levels of difficulty.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: David Manuel (TAMU)

Title: Pigeonhole Problems

Abstract: In this activity, we will learn what the Pigeonhole Principle is and use it to solve problems of varying levels of difficulty.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: David Manuel (TAMU)

Title: Pigeonhole Problems

Abstract: In this activity, we will learn what the Pigeonhole Principle is and use it to solve problems of varying levels of difficulty.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### March 13, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: William Frendreiss (TAMU)

Abstract: We will be learning how to use radians and explore the connection between the definition of pi and our usage of radians. Students will learn how to use radians and why they are so important.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Dr. Erika Ordog (TAMU)

Title: Pick's Theorem

Abstract: Draw a polygon whose vertices are on lattice points of a grid. Can you come up with a formula that gives the area of the polygon in terms of the number of lattice points in the interior of the polygon and the number of lattice points along the perimeter?

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Jonathan Aberle (TAMU)

Title: Polyominoes on Chess Boards

Abstract: Can you cover a chessboard with dominos? What if two of the corners are snapped off? We will look at different grid shapes and try to cover them with different shaped tiles. Some tile shapes work, and others do not. We will try to find what makes a shape work as a grid tile.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### March 6, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Dr. Erika Ordog (TAMU)

Title: Pick's Theorem

Abstract: Draw a polygon whose vertices are on lattice points of a grid. Can you come up with a formula that gives the area of the polygon in terms of the number of lattice points in the interior of the polygon and the number of lattice points along the perimeter?

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Jonathan Aberle (TAMU)

Title: Polyominoes on Chess Boards

Abstract: Can you cover a chessboard with dominos? What if two of the corners are snapped off? We will look at different grid shapes and try to cover them with different shaped tiles. Some tile shapes work, and others do not. We will try to find what makes a shape work as a grid tile.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Matthew Atanas (TAMU)

Title: Penguin Island

Abstract: Penguins and humans are engaged in a fierce competition on a remote island. In this activity we will seek the optimal strategy to maximize the population of penguins on our island. In the process we will discuss several concepts from probability and learn about games of chance.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### February 13, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Matthew Atanas (TAMU)

Title: Hex (the Board Game)

Abstract: Hex is a game where two competing players try to connect their two sides together while preventing their opponent from doing the same.  In this session, we will examine this game in more depth.  Does one side always necessarily win, or is it possible to draw?  If one side does always win, does it depend on the board size?  What is the winning strategy?

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Dr. Phil Yasskin (TAMU)

Title: King Arthur's Round Table

Abstract: King Arthur is selecting a Knight from around his round table to marry his daughter.

There is a process of elimination and the winner is the one who can find a formula for the process.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Logan Knudsen (TAMU)

Title: Pool Testing Technique

Abstract: The Lab you work at testing for a virus employs the Pool Testing Technique, and they have placed you in charge of organizing their tests to be more efficient and better fit time constraints while still finding the infected individuals. We will develop some mathematical techniques to help solve this problem.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### February 6, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Dr. Phil Yasskin (TAMU)

Title: King Arthur's Round Table

Abstract: King Arthur is selecting a Knight from around his round table to marry his daughter.

There is a process of elimination and the winner is the one who can find a formula for the process.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Logan Knudsen (TAMU)

Title: Pool Testing Technique

Abstract: The Lab you work at testing for a virus employs the Pool Testing Technique, and they have placed you in charge of organizing their tests to be more efficient and better fit time constraints while still finding the infected individuals. We will develop some mathematical techniques to help solve this problem.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Matthew Atanas (TAMU)

Title: Hex (the Board Game)

Abstract: Hex is a game where two competing players try to connect their two sides together while preventing their opponent from doing the same.  In this session, we will examine this game in more depth.  Does one side always necessarily win, or is it possible to draw?  If one side does always win, does it depend on the board size?  What is the winning strategy?

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### January 30, 2021

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Logan Knudsen (TAMU)

Title: Pool Testing Technique

Abstract: The Lab you work at testing for a virus employs the Pool Testing Technique, and they have placed you in charge of organizing their tests to be more efficient and better fit time constraints while still finding the infected individuals. We will develop some mathematical techniques to help solve this problem.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: William Frendreiss (TAMU)

Title: Gerrymandering: How to Win Elections the Sneaky Way

Abstract: Every ten years, local and state officials are allowed to change the boundaries of voting districts to account for changes in population. But a widespread technique called "gerrymandering" involves strategically drawing these boundaries so that members of the ruling party can be re-elected, even if most of the voters in their region vote against them. We'll explore how gerrymandering works, draw our own voting district maps, and investigate mathematical techniques for choosing drawing districts that are fair for everyone.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Dr. Phil Yasskin (TAMU)

Title: King Arthur's Round Table

Abstract: King Arthur is selecting a Knight from around his round table to marry his daughter.

There is a process of elimination and the winner is the one who can find a formula for the process.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### December 12, 2020

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Dr. Maya Johnson (TAMU)

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Matthew Atanas (TAMU)

Title: "What's for Dinner?" - An Examination of Different Voting Systems

Abstract: In this activity we will explore several different voting systems and evaluate the benefits and detriments of each. We will conclude with a surprising result on the possibility of "fair" voting systems.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Alexander Riedel (TAMU)

Title: Power of a Point and Radical Axis: Proving a theorem relating the chords in circles with high school geometry

Abstract: We will first examine the intersection of chords in circles and prove a theorem using high school geometry techniques. Then we will define the Power of a point and the Radical Axis of two circles. We will proceed to find what the radical axis is for two circles and prove some useful facts about it.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### December 5, 2020

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Dr. Ed Keppelmann (University of Nevada-Reno)

Title: Dice Games of Elimination

Abstract: The classic game of Shut The Box involves rolling two die repeatedly in an attempt to obtain and thereby eliminate (thus never to be used again) each number from 1 to 12. Usually this is a one person solitare type game and so after playing and discovering some basic strategy we will introduce a multiplayer competitive version and see how things change. We will then repeat this exercise for a geometric version of shut the box which can be played on a grid in the plane. What happens here and what variations do you suggest for even more suspense, strategic planning and fun?

Playing grids and random dice will all be available on line but ordinary dice and graph paper are great for playing some more offline after the circle.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Dr. Ed Keppelmann (University of Nevada-Reno)

Title: Dice Games of Elimination

Abstract: The classic game of Shut The Box involves rolling two die repeatedly in an attempt to obtain and thereby eliminate (thus never to be used again) each number from 1 to 12. Usually this is a one person solitare type game and so after playing and discovering some basic strategy we will introduce a multiplayer competitive version and see how things change. We will then repeat this exercise for a geometric version of shut the box which can be played on a grid in the plane. What happens here and what variations do you suggest for even more suspense, strategic planning and fun?

Playing grids and random dice will all be available on line but ordinary dice and graph paper are great for playing some more offline after the circle.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Dr. Ed Keppelmann (University of Nevada-Reno)

Title: Dice Games of Elimination

Abstract: The classic game of Shut The Box involves rolling two die repeatedly in an attempt to obtain and thereby eliminate (thus never to be used again) each number from 1 to 12. Usually this is a one person solitare type game and so after playing and discovering some basic strategy we will introduce a multiplayer competitive version and see how things change. We will then repeat this exercise for a geometric version of shut the box which can be played on a grid in the plane. What happens here and what variations do you suggest for even more suspense, strategic planning and fun?

Playing grids and random dice will all be available on line but ordinary dice and graph paper are great for playing some more offline after the circle.

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### November 21, 2020

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Logan Knudsen (TAMU)

Title: Wolves and Sheep: Solving and Generalizing

Abstract: We will explore puzzle problems relating to the Wolves and Sheep Puzzle, consisting of arranging wolves and sheep in patterns that protect the sheep. We will also explore ways to maximize or minimize the area covered by the wolves.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Dr. Phil Yasskin (TAMU)

Title: Counting Diagonals

Abstract: We will count the number of diagonals in an n x n grid that do not touch each other.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: William Frendreiss (TAMU)

Title: Deriving Pi using Limits and Geometry

Abstract: We will be using two methods to approximate pi from both above and below, by increasing the number of sides on arbitrary inscribed and circumscribed polygons. We will be using Excel to visually see how the area of these polygons approaches pi, the circle constant, from above and below. Advanced topics such as limits will be touched on, but not rigorously discussed.

### November 14, 2020

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: William Frendreiss (TAMU)

Title: Counting Chameleons

Abstract: We will be going over several problems related to the color-changing properties of virtual chameleons. We begin with a set of chameleons that can change colors with another chameleon. Our goal in each problem is to make it so that all the chameleons end up being the same color. In our simulation, we will explore how odd and even numbers in the initial conditions affect our answer, and cases where there may not be an answer.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: Dr. Erika Ordog (TAMU)

Title: Generalizations of Bridges of Koenigsberg

Abstract: The city of Koenigsberg is made up of islands connected to each other by bridges. Is it possible to walk across all of the bridges once and only once, ending up where you started? We will see if this is possible in Koenigsberg and solve other related and more general problems.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Dr. Phil Yasskin (TAMU)

Title: The a+b+ab Problem

Abstract: Write down the numbers from 1 to 100. Randomly select 2 numbers from the list, say a and b, and cross them off, but add to the list the number a+b+ab. You now have 99 numbers. Repeat this process until you have only 1 number left. What are all possible final numbers?

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### November 7, 2020

Discovery Learning: Beginner Group (12.00 - 1.30 PM)

Speaker: Erika Ordog (TAMU)

Title: Bridges of Koenigsberg

Abstract: The city of Koenigsberg is made up of islands connected to each other by bridges. Is it possible to walk across all of the bridges once and only once, ending up where you started? We will see if this is possible in Koenigsberg and in other cities and will solve other related problems.

Discovery Learning: Intermediate Group (1.45 - 3.15 PM)

Speaker: William Frendreiss (TAMU)

Title: Counting Chameleons

Abstract: We will be going over several problems related to the color-changing properties of virtual chameleons. We begin with a set of chameleons that can change colors with another chameleon. Our goal in each problem is to make it so that all the chameleons end up being the same color. In our simulation, we will explore how odd and even numbers in the initial conditions affect our answer, and cases where there may not be an answer.

Discovery Learning: Advanced Group (3.30 - 5.00 PM)

Speaker: Dr. Joung Dong "JD" Kim (TAMU)

Title: From Algebra to Computational Fluid Dynamics

Abstract: In this talk we will discuss the slope of a line (in algebra) and how we can use it for numerical PDE problems (Computational Fluid Dynamics). As an application, I will demonstrate coding for simple PDE problems and introduce the Front Tracking method for Parachute model.

### October 31, 2020

Discovery Learning: ALL SECTIONS

Speaker: -

Title: -

Abstract: Discovery Learning is cancelled this week due to Buzz Contest, which will be hosted on Discord by Prof. Josh Dever (UT Austin). Problem Solving will run as normal. If you are interested in participating, please register here. The contest will start at 1.45 (Central Time).

Problem-Solving: Beginner Group (1.45 - 3.15 PM)

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group (3.30 - 5.00 PM)

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Problem-Solving: Advanced Group (12.00 - 1.30 PM)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### October 24, 2020

Beginner Group (in Pre-Algebra and below)

Speaker: Dr. Doug Hensley (TAMU)

Title: Buzz Contest Training

Abstract: Dr. Doug Hensley will explain what is a Buzz Contest and train our students for next week's (Oct. 31) Buzz Contest that will be held in association with the Math Circle at UT Austin.

Intermediate Group (in Algebra 1 or above)

Speaker: Dr. Doug Hensley (TAMU)

Title: Buzz Contest Training

Abstract: Dr. Doug Hensley will explain what is a Buzz Contest and train our students for next week's (Oct. 31) Buzz Contest that will be held in association with the Math Circle at UT Austin.

Advanced Group (in Algebra 2 or above)

Speaker: Dr. Doug Hensley (TAMU)

Title: Buzz Contest Training

Abstract: Dr. Doug Hensley will explain what is a Buzz Contest and train our students for next week's (Oct. 31) Buzz Contest that will be held in association with the Math Circle at UT Austin.

Problem-Solving: Beginner Group

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Instructors: Drs. Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### October 17, 2020

Beginner Group (in Pre-Algebra and below)

Speaker: Pablo S. Ocal (Texas A&M)

Title: Hat Problems

Abstract: You and your friends are put into a room with hats in your heads. You cannot see your own hat, but you can see your friend's. Can you find a way of guessing our own hat? Can you find a way of everybody guessing their own hat? How about if you're not allowed to communicate? We will be discussing these and other hat problems.

Intermediate Group (in Algebra 1 or above)

Speaker: Pablo S. Ocal (Texas A&M)

Title: Hat Problems

Abstract: You and your friends are put into a room with hats in your heads. You cannot see your own hat, but you can see your friend's. Can you find a way of guessing our own hat? Can you find a way of everybody guessing their own hat? How about if you're not allowed to communicate? We will be discussing these and other hat problems.

Advanced Group (in Algebra 2 or above)

Speaker: Pablo S. Ocal (Texas A&M)

Title: Hat Problems

Abstract: You and your friends are put into a room with hats in your heads. You cannot see your own hat, but you can see your friend's. Can you find a way of guessing our own hat? Can you find a way of everybody guessing their own hat? How about if you're not allowed to communicate? We will be discussing these and other hat problems.

Problem-Solving: Beginner Group

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Instructors: Drs. Guoliang Yu, Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### October 10, 2020

Beginner Group (in Pre-Algebra and below)

Speaker: Dr. Rodrigo Matos (Texas A&M)

Title: The Odd Subtraction Game

Abstract: We continue playing the Subtraction Game but change the goal to be the person who takes an odd number of chips.

Intermediate Group (in Algebra 1 or above)

Speaker: Dr. Phil Yasskin (Texas A&M)

Title: Polygon Differencing

Abstract: Put 4 non-negative integers on the corners of a square. Put their differences at the midpoint of each side. Connect the midpoints producing a new square. Repeat the process until you discover something. What do you conjecture? Prove it. Repeat for a triangle, a pentagon, an N-gon. What do you conjecture? Prove it.

Advanced Group (in Algebra 2 or above)

Speaker: Dr. Phil Yasskin (Texas A&M)

Title: Polygon Differencing

Abstract: Put 4 non-negative integers on the corners of a square. Put their differences at the midpoint of each side. Connect the midpoints producing a new square. Repeat the process until you discover something. What do you conjecture? Prove it. Repeat for a triangle, a pentagon, an N-gon. What do you conjecture? Prove it.

Problem-Solving: Beginner Group

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)

Instructors: Drs. Guoliang Yu, Zhizhang Xie, Rodrigo Matos, Andrew Yu (Texas A&M University)

### October 3, 2020

Beginner Group (in Pre-Algebra and below)

Speaker: Dr. Phil Yasskin (TAMU)

Title: The Substraction Game & NIM

Abstract: Participants will play one another (virtually) in a subtraction game and explore the mathematical underpinnings of this game. If time permits we will also discuss the games NIM and Tip the Die.

Intermediate Group (in Algebra 1 or above)

Speaker: Dr. Phil Yasskin (TAMU)

Title: The Substraction Game & NIM

Abstract: Participants will play one another (virtually) in a subtraction game and explore the mathematical underpinnings of this game. If time permits we will also discuss the games NIM and Tip the Die.

Advanced Group (in Algebra 2 or above)

Speaker: Dr. Phil Yasskin (TAMU)

Title: The Substraction Game & NIM

Abstract: Participants will play one another (virtually) in a subtraction game and explore the mathematical underpinnings of this game. If time permits we will also discuss the games NIM and Tip the Die.

Problem-Solving: Beginner Group

Instructor: Drs. Irina Bobkova and Guangbo Xu (Texas A&M University)

Problem-Solving: Intermediate Group

Instructor: Xiaoyu Su & Drs. Li Gao, Hao Guo (Texas A&M University)