You meet a new friend at CTY who teaches you a dice game. The rules are simple: if you roll a 4, you win and the game ends. If your friend rolls a 5, she wins and the game ends. You take turns rolling until one person wins. If you roll first, what is the probability that you will win the game? There are several ways to solve this problem, and the answer is not obvious.

In this course, students develop a greater understanding of probability and statistics, two areas of mathematics that easily transfer from the classroom to the real world. Students conduct experiments and generate data which they display in graphs, charts, and tables in order to compare the effects of particular variables. For example, students might analyze data to examine how various design characteristics of a paper airplane, such as weight or length, affect the distance it will travel. In addition, students consider other data sources, including newspapers and journals, and identify examples of incorrectly gathered or misrepresented data that have been used to mislead consumers or influence voters.

Students also explore probability, the study of chance, to learn how to use numerical data to predict future events. Students examine permutations and combinations; develop strategies for calculating the number of possible outcomes for various events; calculate probabilities of independent, dependent, and compound events; and learn to distinguish between theoretical and experimental probability.

So small yet so powerful … We cannot see it, but it can change our everyday life! “Nano” indicates something small, something minute, about a billion times less than a meter. In these dimensions materials can go ‘crazy’ and display unique, unprecedented properties. How does the size of a material affect its properties? How do some plants manage to repel water and clean themselves? How can I make my clothes stain resistant? How does the gecko lizard walk on the ceiling? How can a robot climb onto a glass window? How do all this relate to bio-mimicry and everyday life?

Nanotechnology is linked to many disciplines, such as physics, biology, chemistry and mathematics, to produce useful applications with innovative properties. Through a series of approaches, including problem-solving, designing and conducting experiments, games, studying natural and artificial nanomaterials, searching for information, modeling, and group activities, students are introduced to the exciting world of science and technology at a nanoscale!

Are robots smarter than humans? Will automated control systems eventually become clever enough to control us? In this course, students embark on a journey into the world of technology, engineering, algorithmic thinking and programming. They learn how to design, build, and program their own robots and clever control systems using LEGO EV3 Mindstorms and Arduino UNO.

In the course’s robotics segment, students delve into the capabilities of LEGO EV3 Mindstorms, a versatile robotics kit renowned for its ease of use. Through engaging activities and challenges, students learn to assemble robots, utilize sensors, and program behaviors using a Scratch 3-based programming environment tailored for EV3. They discover how to navigate obstacles, follow lines, and complete tasks, all while honing their problem-solving and critical-thinking skills.

In the course’s automation segment, students explore the world of electronics and clever control systems using Arduino UNO, a popular microcontroller platform. With Arduino, students learn to interface sensors, motors, and other peripherals, enabling them to automate processes and create clever control systems like an automated plant watering system or a home security system. Using a Scratch 3-based programming environment adapted for Arduino, students write code to control inputs and outputs, create responsive behaviors, and bring their projects to life.

By the end of the course, students emerge with a deeper understanding of robotics, automation, and programming, equipped with the skills and knowledge to tackle real-world challenges in the ever-evolving field of technology.

Learning Objectives

• Develop construction skills for building robots using LEGO technic pieces, including structural stability, gear mechanisms and attachment methods, and assimilate the basic features of the Arduino UNO board including digital and analog input/output pins, power supply options, and communication interfaces.
• Understand the use and different types of sensors (e.g. touch, color, ultrasonic, and gyro sensors) to gather and use sensor data to create responsive behaviors in robots, such as obstacle avoidance, line following, and object detection.
• Learn basic principles of electronics, including voltage, current, resistance, circuits, and components such as resistors, LEDs, and how to connect and use various sensors with Arduino boards, including temperature, light, motion sensors and ultrasonic sensors.
• Develop problem-solving skills to diagnose issues, troubleshoot hardware or software problems, and debug Arduino or robot projects effectively, utilizing the basic safety practices when working with electronics.

Welcome to the enchanting world of mathematical thinking! In this course, yοu will embark on a magical journey where numbers, shapes, and patterns come to life through the power of mathematical thinking.

Through captivating stories, interactive games, and hands-on activities, you will uncover the beauty and wonder of mathematics. You will learn to see the world through a mathematical lens, discovering the hidden patterns and structures that surround you every day.

From exploring the symmetry of nature to unraveling the mysteries of prime numbers, you will engage in a variety of activities designed to stimulate their curiosity and creativity. You will develop problem-solving skills as they tackle mathematical puzzles and challenges, learning to approach problems with imagination and ingenuity.

Join us on this magical adventure where mathematical thinking sparks curiosity, inspires creativity, and opens doors to endless possibilities!

Learning Objectives:

• Define and distinguish between inductive, deductive, and abductive reasoning, providing examples of each.
• Explore and explain the relationship between number patterns and geometry, using both explicit and recursive formulas.
• Be introduced to symbolic logic by constructing and interpreting truth tables.
• Solve problems using algebraic, geometric, and symbolic representations and different models.
• Cultivate skills to enhance cooperation, creativity, critical thinking, flexibility.