Elementary school math training. All categories of one-to-three. Grade 5

Author: Xu Biao
Publisher:
Publish Date: 2005-08-01
Features: Enhancing students' comprehensive qualities, fostering their individual strengths, cannot be achieved through last-minute cramming or detached from reality. The development of students' intelligence and the improvement of their abilities is a gradual, long-term training process that spirals upwards. To support the extracurricular activities of primary school mathematics, and to provide students with systematic training in mathematical Olympiad content over the long term, the authors have organized a team of experienced teachers to compile this series. Through the unique "one example, three exercises" format, it helps students systematically master the entire content of mathematical Olympiads, broaden their knowledge horizons, grasp problem-solving methods and skills, and improve their test-taking and competition abilities.
This series strives to embody the following characteristics:
Comprehensive content, spiraling progression. The series breaks down the entire content of primary school mathematical Olympiads by grade level, with 120 topics set for each grade, each topic serving as a training session. It also pays attention to the connection between grades, reflecting layers and gradients.
Rooted in fundamentals, focused on improvement. The topics for each grade are arranged in the order of general textbooks (such as PEP and Jiangsu Education Press), based on students' actual knowledge structure and cognitive development levels. This allows students to expand their training after mastering the basic knowledge from textbook units.
One example, three exercises, learn by analogy. For each topic, a "typical example" is selected from a vast pool of problems, with "Approach" providing analysis and guidance; "Detailed Explanation" offering thorough or alternative solutions; and "Tips" summarizing and deepening the knowledge, methods, and techniques related to the example. Accompanying the example are three practice questions ("Good Problems for Practice"), aligned with the knowledge points, for students to complete independently, cultivating their ability to generalize from examples.
Keeping pace with the times, aligning with modern trends. The content of the examples and exercises incorporates types of problems that have appeared in recent years' mathematical competitions across various regions, reflecting the timeliness,, openness, exploratory nature, and practicality of the material. It also emphasizes close ties to real-life scenarios, guiding students to learn and apply mathematics in daily life.
During the compilation of this series, we referred to the essence of similar books and extend our sincere gratitude. Due to time constraints and the authors' limitations, errors and shortcomings may inevitably exist. We welcome criticism and suggestions.