Number and the structurization of algebraic content. According to the concept of "Structurally integrating content and exploring the path of developing students' core literacy" put forward by Curriculum Standard 2022, the field of "Number and Algebra" realizes the structuring of content through theme integration.
Content structuring is not only a change in form, but also an integration of related content from the perspective of subject nature and students' learning, which better reflects the essential characteristics of subject content and students' learning needs. "Number and Operation" requires students to know the number within ten thousand and its operation, and make a good transition from kindergarten to primary school;
The relationship between quantity lies in solving practical problems by using the meaning of sum of numbers. Integrate common quantities into the field of "synthesis and practice". Increase the core literacy requirements: help students form a preliminary awareness of symbols, numbers, calculation ability, reasoning, geometric intuition, model awareness and application awareness. The first learning period is mainly reflected in the use of numbers and numerical operations to solve problems and explore the content of expressing the changing law with numbers or symbols.
Introduction to algebra:
Algebra is a branch of mathematics that studies numbers, quantities, relationships, structures and algebraic equations. Elementary algebra is generally taught in middle schools, introducing the basic ideas of algebra: studying what happens when we add or multiply numbers, understanding the concept of variables and how to establish polynomials and find their roots.
The research object of algebra is not only numbers, but various abstract structures. For example, an integer set is an algebraic structure as a set with addition, multiplication and order relations. Among them, we only care about various relationships and their nature, but we don't care about the question "what is the number itself". The common types of algebraic structures are groups, rings, fields, modules, linear spaces and so on.
Algebra is a branch of mathematics that studies numbers, quantities, relations, structures and algebraic equations, and it is also one of the most important and basic branches of mathematics. Algebra has a long history. It comes into being and develops with the improvement of human living standard, the progress of production technology and the needs of science and mathematics itself.
In this process, the research objects and methods of algebra have changed greatly. Algebra can be divided into elementary algebra and abstract algebra.