READ BOOK Yes, But Why Teaching For Understanding In Mathematicsl

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How to Teach Mathematics for Understanding: A Review of Yes, But Why

Mathematics is often seen as a collection of rules and procedures that students have to memorize and apply without much understanding. However, this approach can lead to frustration, confusion and lack of interest in the subject. How can teachers help students develop a deeper and more meaningful understanding of mathematics How can they explain the reasons behind the methods and concepts they teach

One book that aims to answer these questions is Yes, But Why Teaching for Understanding in Mathematics by Ed Southall. This book is a comprehensive guide for mathematics teachers and those training to teach, covering topics from number systems and operations to algebra, geometry, statistics and trigonometry. The book provides clear explanations of the mathematical ideas behind each topic, as well as practical examples, activities and questions to engage students and test their understanding.

The book is divided into 10 chapters, each focusing on a different area of mathematics. Each chapter begins with an introduction that outlines the main objectives and key points of the chapter. Then, the chapter explores various aspects of the topic, such as definitions, properties, methods, applications and connections. The author uses diagrams, tables, graphs and illustrations to support his explanations and make them more accessible. He also provides historical and cultural context for some of the topics, showing how mathematics has evolved over time and across cultures.

One of the main features of the book is the use of \"Yes, but why\" questions throughout each chapter. These are questions that challenge students to think beyond the surface level of mathematics and dig deeper into the logic and reasoning behind it. For example, in Chapter 1 on types of numbers, the author asks: \"Why do we have odd and even numbers\" In Chapter 4 on types of numbers part 2, he asks: \"Why do two negative numbers multiply to make a positive\" In Chapter 7 on algebra, he asks: \"Why do we use letters in algebra\" These questions help students develop their mathematical thinking skills and their curiosity about the subject.

The book also includes a new \"Test yourself\" feature in every chapter, which consists of multiple choice questions that assess students' understanding of the chapter content. The answers are provided at the end of the book, along with explanations and references to the relevant sections of the book. The book also offers downloadable figures for use in the classroom, as well as suggestions for further reading and online resources.

Yes, But Why Teaching for Understanding in Mathematics is a valuable resource for mathematics teachers and those training to teach. It provides a clear and comprehensive overview of the mathematics curriculum at primary and secondary levels, as well as insights into how to teach it effectively and meaningfully. It is written in an engaging and accessible style that makes mathematics interesting and enjoyable for both teachers and students. aa16f39245