Description
MATHEMATICAL THINKING PROBLEMS 2 (1ST YEAR OF SECONDARY EDUCATION)
Book Summary
This second volume in the series offers a practical sequence of mathematical problems designed for the powers and roots unit in 1st year of Secondary Education (ESO). The authors, Gregorio Morales and José Ignacio Úbeda, present three Learning Situations that integrate mathematical processes such as numbers, algebra, relations and functions, the language of graphs, and computational thinking. Through real examples of classroom interactions, the book shows how students develop their own strategies to solve problems, reaching new knowledge. It is a tool for teachers to design their own active classrooms, with the goal of helping their students learn to think mathematically.
What is it about?
The book focuses on teaching powers and roots in the 1st year of ESO through a problem-based approach. The authors propose three Learning Situations that mobilize knowledge from different mathematical senses: numbers, algebra, relations and functions, the language of graphs, and computational thinking. Based on student-student and student-teacher interaction, examples are shown of how students explore and solve problems, developing their own strategies. The text not only offers sequenced problems but also exemplifies the teaching-learning process, allowing the reader to adapt these dynamics to their own educational context.
Main Topics
- Powers and roots in the 1st year of ESO curriculum.
- Design of learning situations for mathematics.
- Mathematical processes: numbers, algebra, relations and functions, graphs, and computational thinking.
- Problem-solving strategies in the classroom.
- Interaction and dialogue as tools for mathematical learning.
Who is it recommended for?
This book is aimed at secondary school mathematics teachers, especially those teaching 1st year of ESO who are looking for active methodologies to foster critical thinking and problem-solving. It is also useful for teacher trainers, students of education or pedagogy interested in mathematics didactics, and any educational professional who wishes to implement the "Thinking Classrooms" approach in their teaching practice.
What this book contributes
- A practical and proven sequence of problems for the powers and roots unit.
- Real examples of classroom interactions that illustrate how students construct their own knowledge.
- Tools to design learning situations that integrate multiple mathematical processes.
- A teaching model that prioritizes autonomous thinking over the memorization of procedures.
- Resources for teachers to adapt and create their own active, reasoning-centered classrooms.
Technical Data
- Author: MORALES, GREGORIO; UBEDA, JOSE IGNACIO
- Publisher: NED EDICIONES
- Language: Spanish
- Topic: RESOURCES AND TEACHING MATERIALS FOR TEACHERS, TEACHING MATERIAL, DIDACTICS: MATHEMATICS AND NUMERACY
- Collection: THINKING CLASSROOMS
- Publication date: June 2025
- Number of pages: 128
- Weight: 200 g
Editorial Review
This book is a solid resource for teachers looking to renew their practice in the mathematics classroom. Its focus on problem-solving and student interaction offers an alternative to traditional, rote-memorization-based teaching. The inclusion of real examples of student dialogues and strategies provides undeniable practical value, facilitating transfer to other educational contexts. This work is recommended for those who wish to implement active methodologies and foster critical thinking in the learning of secondary mathematics.