Methods and books to improve children's mathematical thinking, imagination and sense of numbers are recommended as follows:

1. Gamification learning: Use interesting math games, puzzles, puzzles and other activities to cultivate children's mathematical thinking. For example, you can use digital building blocks, math puzzles or math problem cards to let children learn math concepts and skills through building, puzzles and problem solving.

2. Practical application: Combine mathematics with daily life, and let children apply mathematics knowledge in actual scenes. For example, in the process of shopping, traveling and cooking, encourage children to calculate, estimate and measure, and cultivate their sense of numbers and mathematical thinking.

3. Creative problem solving: provide some creative problems and challenges to stimulate children's imagination and creativity. For example, children can be encouraged to design a math game, solve a math problem, or use math methods to solve practical problems. These activities can cultivate children's logical thinking and problem-solving ability.

4. Math inspirational books recommendation: There are some math inspirational books specifically for children, which can help children improve their math thinking and sense of numbers. For example, The Secret Garden of Mathematics (by Wu Jier), The Mystery of Philosopher's Mathematics (by Philip Goldberger) and Strange Mathematics in a Little Book (by John Kelly). Through interesting stories and examples, these books let children understand and apply mathematical concepts from different angles, and cultivate their mathematical thinking and imagination.

5. Math-inspired games recommendation: There are also some math-inspired games that can improve children's math thinking and sense of numbers. For example, mathematical board games, logical reasoning games and mathematical crossword puzzles. These games are often difficult and challenging, so that children can constantly exercise their mathematical thinking and imagination in the process of solving problems.

In a word, children's mathematical thinking, imagination and sense of numbers can be effectively improved through gamification learning, practical application, creative problem solving, math-inspired books and math-inspired games.