Thinking Mathematically, 6th edition, is a textbook that aims to help students develop their mathematical thinking skills through a variety of problem-solving strategies. The book is organized into units that cover different mathematical topics, such as logic, probability, geometry, and algebra. Each unit begins with a set of foundational concepts that are then used to solve increasingly complex problems.
One of the strengths of Thinking Mathematically is its emphasis on problem-solving. The book presents a wide range of problems, from straightforward calculations to more abstract and open-ended challenges. These problems are meant to encourage students to approach mathematics in a creative and flexible way, rather than simply following a set of predetermined steps.
To help students develop their problem-solving skills, the book includes a number of strategies and tools. For example, the book introduces the idea of visualizing problems using graphs and diagrams, which can help students better understand the relationships between different quantities and concepts. It also encourages students to make conjectures and use inductive reasoning to solve problems, rather than simply memorizing formulas or algorithms.
In addition to its focus on problem-solving, Thinking Mathematically also places a strong emphasis on developing students' critical thinking skills. The book encourages students to question assumptions, evaluate the validity of arguments, and consider alternative viewpoints. These skills are essential for success in mathematics, as they allow students to think flexibly and adapt to new situations.
Overall, Thinking Mathematically, 6th edition is a valuable resource for students who want to improve their mathematical thinking skills. Whether they are just starting out in math or are more advanced learners, the book's emphasis on problem-solving and critical thinking will help them develop the skills they need to succeed in the subject.