Intuitive imagination

Mathematical vision: high school mathematical abstraction, spatial concept, geometric intuition, junior high school abstract consciousness, number sense, quantity sense and spatial consciousness, geometric intuition, primary school symbol consciousness,

Mathematical thinking: high school logical reasoning, mathematical calculation.

Reasoning ability and computing ability in junior middle school

Primary school students' reasoning consciousness and computing ability

Mathematical Language: Mathematical Modeling and Data Analysis in Senior High School.

Model thinking and data concept in junior high school

Primary school model consciousness and data consciousness

Consciousness and concept are both knowledge of things, consciousness is based on intuitive feeling, and concept is based on the consistency of clear concept connotation, showing stages and integrity.

The specific content is given by synthesis and practice. Primary schools focus on subjective learning, while junior high schools try project-based learning. Thematic learning: designing common interdisciplinary content in the form of "synthesis and practice"

Shopping activities: Know RMB Jiao Yuan, minutes: Where is the time: Know time, minutes, seconds My classroom: Know up, down, left, right, front, back: Southeast, northwest.

Project-based learning: real situations, interdisciplinary (10%) real questions and problem-solving forms. Senior primary school and junior high school at least twice a semester.

Traditional culture should have mathematics.

The story called "Zhou Zai's Story": The story of knowing that the number of grams and tons is equal and always equal to the most balanced weight and degree, Zhou Zai's story: the traditional culture of China.

I. Theme Integration: Primary School Stage

In the field of number and algebra, six topics, one or two topics, number understanding+number operation-synthesis and practice of common quantities in number and operation

Equation 1 junior high school

Explore the quantitative relationship between laws, formulas and direct proportions.

In the field of graphics and geometry, there are four themes and one or two themes.

Understanding and measurement of figures+understanding and measurement of circles

Movement of people+people and position The position and movement of a country.

Breakdown of core content:

Three. Content intersection: numbers and algebra

Elementary school and junior high school: adding two basic facts.

Transitivity: a = b.b = c-a = c;

Properties of the equation: a = b→ a+c = b+c.

Primary school decrease: equation, inverse proportion and percentage are moved to "statistics and probability", and negative numbers are added in "synthesis and practice": the counting unit is the measurement unit of exponent and order.

Addition model, total = component+component

Junior High School Addition: Understanding the Meaning of Negative Numbers (Example 64) Chapter 9 Arithmetic Equation Cylinder

Approximate calculation (Example 65); Understand algebraic reasoning (example 66), which can be divisible by 3; Vieta's theorem changed from elective to compulsory.

Move the content of percentage to the cause of statistics and probability.

Adapting to the requirements of the information age and big data age,

Guide students to establish data awareness and digital literacy

Sensitivity change: certainty-certainty+randomness

Cash introduction: fruit content-juice content+voting simple hit.

The national blue sky plan is based on the standard of skipping rope for fourth-grade students, the distributed calculation of average junior high school, and the percentage.

Four content changes: graphics and geometry

Elementary school addition: ruler painting.

The second part is a given line segment, which takes the given line segment as an edge and extends into an equilateral triangle. In the third stage, the perimeter of the triangle, with three sides connected end to end, falls on a straight line in turn.

Junior high school supplement: ruler drawing requirements.

Outside the circle-the point is the tangent of the circle (it will be drawn with a triangular ruler and a ruler).

Verb (verb's abbreviation) Content Change: Statistics and Probability

Primary school changes: classification-data classification (physical classification-abstract classification), junior high school percentage growth: provincial per capita GDP classification: large differences between groups, small differences within groups.

Distributed calculation of average (distributed calculation of high school variance)

The Relationship between Core Content and Core Literacy

The concept, nature, relationship, operation and law of the research object.

It is the expression form of mathematical content, and builds a bridge between mathematical content and core literacy.

The Bridge between Mathematical Knowledge and Knowledge Cognition

Pay attention to teachers' teaching, students' learning and students' acquisition (not learning attitude)

Acquisition of knowledge and thinking

Content related to the concept: closer to pumping

Content related to nature: closer to reasoning

Content related to the relationship: closer to the model

Operation-related content: closer to operation.