From Arithmetic to Algebra

Author: Kaiping Mathematics Studio
Publisher:
Publish Date: 2005-01-01
Features: The target readers of this book are sixth-grade primary school students who are about to enter junior high school. The main content focuses on the transition from arithmetic to algebra, from primary school mathematics to junior high school mathematics, preparing for future studies. This book is also suitable for primary school students who have a strong interest in mathematics and are not in graduation classes, as well as for reference for first-year junior high school students and teachers. Currently, books with this positioning are rare and have only appeared in certain chapters of some olympiad textbooks, with very limited content and not much difference from school textbooks. Therefore, they do not provide substantial help for the transition from arithmetic to algebra. To fill this gap, this book completes this crucial transition in a way that readers can accept and enjoy—from the completely intuitive mathematics of primary school to the beginning of abstraction in junior high school. This critical transition has often been overlooked, but in fact, many primary school students who perform well in mathematics and have a considerable interest in it have lost their interest and confidence due to the lack of this transition when facing completely unfamiliar junior high school mathematics. Of course, some outstanding students with good mathematical intuition have managed to overcome this rather difficult stage. However, these students often only remain at the intuitive level and find it difficult to understand the process from a theoretical perspective, failing to form a deeper understanding of mathematics. At the beginning of each topic, this book abandons the traditional dry introduction of standard definitions or formulas and instead uses a conversational approach, subtly drawing on readers' prior arithmetic knowledge, literary allusions, and life phenomena to gradually introduce the main topic. In the selection of examples, the book pays special attention to choosing typical problems that can be solved using both arithmetic and algebraic methods. This allows readers to grasp the differences between arithmetic and algebraic thinking through a comparison of the two methods. Additionally, for mathematics, practice is an indispensable part, so this book provides a sufficient number of novel exercises.