Question 2: Number of primary schools and algebraic content. What does the first learning part include? Count it.
contrast
Understanding of 1 to 5
Understanding from 6 to 10
Understanding of 1 1 to 20
Addition and subtraction multiplication of 1 to 5
Addition and subtraction multiplication from 6 to 10
Carry addition within 20, add, subtract and mix within 20.
Know the clock
Fill in the figures according to the law
Question 3: What is the position and function of numbers and algebra in primary school teaching? The content of number and algebra plays an important role in compulsory education mathematics curriculum and has important educational value. Compared with the relevant parts of traditional mathematics in primary and secondary schools, standards have greatly changed the learning field of numbers and algebra in terms of objectives, contents, structure and teaching activities. Understand the educational value, design idea and content of numbers and algebra in the mathematics curriculum of nine-year compulsory education.
The content of number and algebra occupies a large proportion in traditional primary and secondary mathematics, and has accumulated a lot of teaching experience for a long time. However, according to the new educational concept, there are still many problems compared with the requirements of the times. For example, it is too scientific and systematic, and the content is complicated or even cumbersome; Too much pursuit of formalization, ignoring the connection with real life, the course is full of tedious calculation and deduction, but students do not understand the essence of the problem, see the usefulness of mathematics, realize the value of mathematics, and will not use what they have learned to solve the problem; As a result, many students feel that mathematics is boring and lose interest and confidence in mathematics learning.
In the process of formulating the standard, the reform of logarithm and algebra was carefully studied and thought, and the direction of reform was further clarified, especially in the following aspects: paying attention to the understanding of logarithmic meaning, cultivating students' sense of number and symbol; Desalinate the requirements of over-formalization and memory, and attach importance to experiencing and understanding relevant knowledge in specific situations; Pay attention to the process, advocate students' independent activities in the learning process, and improve their ability to discover and explore laws; Pay attention to application, strengthen the cultivation of students' mathematical application consciousness and ability to solve practical problems; Advocate the use of calculators, reduce the requirements for computational complexity and speed, and attach importance to estimation.
The Educational Value of 1. Numbers and Algebra
The contents of' Number and Algebra' mainly include numbers and formulas, equations and inequalities, and functions, all of which are mathematical models for studying quantitative relations and changing laws, which can help people to understand, describe and grasp the real world more accurately and clearly from the perspective of quantitative relations. "(page 1 1 of this standard)
The educational value of this part is mainly reflected in the following aspects:
(1) can make students realize the close relationship between mathematics and real life, that numbers and symbols are important languages to describe the quantitative relationship in the real world, that equations, inequalities and functions are mathematical models in the real world, and that mathematics is an important tool to solve practical problems and communicate, from which they can feel the value of mathematics, and initially learn to observe and analyze the real society by using mathematical thinking mode, so as to solve problems in daily life and other subjects' study and enhance their application awareness.
(2) In the learning process of number and algebra, the exploration of the quantitative relationship and its changing law in the real world, the establishment and expansion of the concept of number, the operation of number, the establishment and derivation of formula, the establishment and solution of equation, and the exploration of functional relationship are helpful to promote students' interest in mathematics learning, improve their ability to solve problems and self-confidence, and cultivate their initial innovation consciousness and discovery ability.
(3) In number and algebra, there are not only the unity of opposites in knowledge, such as positive and negative numbers, addition and subtraction, power and roots, constants and variables, precision and approximation, but also the unity of opposites in the research process, such as known and unknown, special and general, concrete and abstract, practice and theory. At the same time, the study of variables and functions is full of ideas of movement and change, and in quantity. From the perspective of movement changes, it can also make our understanding more profound. Therefore, this part of the study will certainly help to cultivate students' dialectical materialism and help students understand the real world from a scientific perspective.
Numbers and algebra under the guidance of the concept of "standard" will present many rich realistic backgrounds to students. Starting from students' existing experience, paying attention to the formation process of knowledge, students' interest in learning and self-confidence, and the cultivation of students' ability to explore and apply mathematics will change the complicated situation of number and algebra.
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