Contextualization

Understanding fundamental concepts, such as 'greater' and 'smaller', is essential in mathematics. These concepts are usually introduced at the beginning of mathematical education and remain relevant throughout the academic journey. Learning to compare numbers and understand the relationship between them is a key piece in developing more advanced mathematical skills, such as addition, subtraction, multiplication, and division.

Mathematics is a universal language, and numbers are our most basic way of understanding the world around us. From basic counting to complex calculations in quantum physics, numbers are the foundation of almost everything we do. This project, focused on understanding concepts like 'greater' and 'smaller', will allow students to deepen their understanding of these fundamental ideas and how they apply to the world around us.

The idea of 'greater' and 'smaller' not only applies to numbers but is also used to compare and classify objects in our daily lives. It is a concept that cuts across disciplines, appearing in studies of mathematics, natural sciences, social sciences, and even linguistics. In science, for example, it can be used to compare the magnitude of forces, while in geography, it can be used to compare the sizes of populations in different cities.

This project will use a project-based learning method, where students will have the opportunity to explore and apply these concepts. Project-based learning is believed to be particularly effective in consolidating learning and enabling students to apply concepts in practical and relevant contexts.

Introduction

Mathematics is a vast and complex field that requires a solid foundation for success. Understanding the relationship between numbers and being able to identify which is greater or smaller is a fundamental skill in mathematics. This project aims to reinforce this skill, allowing students to practice and apply their knowledge in an engaging and interactive way.

Working in groups also allows students to develop important skills, such as communication and collaboration. Mathematics is often seen as a solitary discipline, but in reality, collaboration is an important part of mathematics, especially in solving more complex problems. This project will provide students with the opportunity to strengthen these skills while working together to achieve a common goal.

In this project, students will also have the opportunity to explore the relationship between mathematics and other disciplines by applying their mathematical knowledge to different contexts. This will help solidify their understanding of how mathematics is used in the real world, making learning more relevant and interesting.

For this project, students should refer to the mathematics textbook they are currently using in the classroom, as well as make use of reliable online resources. Khan Academy (https://pt.khanacademy.org/) is an excellent learning platform that has a variety of instructional videos on a wide range of mathematical topics, including number comparison. YouTube also has many educational videos that can be helpful.

Remember, mathematics is a journey, and the best way to learn is by practicing and exploring. Good luck on this journey!

Practical Activity

Activity Title:

"World of Numbers: An Interactive Game of Mathematical Comparisons"

Project Objective:

The objective of this project is to reinforce students' understanding of the mathematical concepts of 'greater' and 'smaller', improve their collaboration and presentation skills, and connect mathematical teachings to the real world through Natural Sciences.

Detailed Project Description:

In this project, students will create and participate in an interactive game that involves the comparison and ordering of numbers. The groups will also explore how these mathematical concepts apply to the natural world, particularly in biology: comparing sizes of animals, populations, levels of environmental risk, among others.

Students will first create cards with various numbers and then categorize them in ascending or descending order. Additionally, each group should research different animal species and create cards with information such as animal size, life expectancy, and estimated population. The cards should then be used in a game where students must classify the animals based on different criteria (for example, the animal with the largest population wins).

Required Materials:

• Cardboard paper.
• Colored pens.
• Research resources (books, internet).
• Scissors.

Detailed Step-by-Step for Activity Execution:

1. Each group receives cardboard paper, pens, and scissors. Instruct them to draw square cards of equal size.
2. Ask the groups to research and select ten random numbers between 1 and 100. Each number should be written on a different card.
3. Ask students to categorize these cards in ascending and descending order.
4. Next, students should research ten different animal species and note relevant information (animal size, life expectancy, estimated population) on separate cards.
5. Students should then create simple rules for a game using these cards (for example, the animal with the longest life expectancy wins the round).
6. Each group should then play the game, classifying the animals based on the different criteria.
7. Documentation: Students should document the research conducted, the process of creating the cards, the game rules, and the results of their game rounds.

Project Delivery:

1. Set of cards created by students.
2. Detailed project documentation, which should include:
   • Introduction: Contextualization of the concepts of greater and smaller and the application of these concepts in the real world.
   • Development: Detailed explanation of the theory of greater and smaller concepts, description of the activities carried out, procedures and methodology used, as well as results obtained.
   • Conclusions: Students should conclude the work by summarizing the main points, expressing the importance of the concepts of greater and smaller in mathematics and other disciplines. Additionally, they should explain the learnings obtained, the experience of teamwork, the challenges encountered, and the proposed solutions.
   • Bibliography: References used in the research, both to understand mathematical concepts and to collect data in the field of biology.

Each group member should contribute to the document writing, dividing the topics among themselves. Special attention should be given to the cohesion and coherence of the final text, showing that, despite having various parts written by different hands, the document was the result of collective work.