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EdrawMindThe “Three Meetings, Four Basics, and Six Competencies of Mathematics”
MindMap Gallery The “Three Meetings, Four Basics, and Six Competencies of Mathematics”
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The “Three Meetings, Four Basics, and Six Competencies of Mathematics”
This is a mind map about the "Three Meetings, Four Basics, and Six Qualities" of mathematics. In primary school mathematics education, attention should be paid to cultivating these qualities of students so that they have the ability to use mathematical knowledge to solve practical problems and form a good Mathematical thinking and mathematical study habits.
Edited at 2024-11-30 14:47:05- ルミ：10精神的高次元の目覚め
ルミ：精神的な目覚めの10次元。あなたが自分自身を探すのをやめるとき、あなたが探しているのはあなたを探しているので、あなたは宇宙全体を見つけるでしょう。あなたが毎日忍耐することは何でもあなたの精神の深みへの扉を開くことができます。沈黙の中で、私は秘密の領域に滑り込み、私は私の周りの魔法を観察するためにすべてを楽しんだが、何の騒ぎをしなかった。翼で生まれたときに、なぜcraいるのが好きですか？魂には独自の耳があり、心が理解できないことを聞くことができます。すべてへの答えを内向きに求めてください、宇宙のすべてがあなたの中にあります。恋人たちはどこかで会うことはなく、この世界には別れもありません。傷は光があなたの心に入るところです。
- 病態生理 - 心不全
慢性心不全は、心拍数の速度の問題だけではありません！これは、心筋収縮と拡張期機能の減少によって引き起こされ、それが不十分な心拍出量につながり、肺循環の鬱血と全身循環のうっ血を引き起こします。原因、誘導、補償メカニズムまで、心不全の病態生理学的プロセスは複雑で多様です。浮腫を制御し、心臓の前面と後負荷を減らし、心臓の快適機能を改善し、基本的な原因を予防し、治療することにより、この課題に効果的に対応できます。心不全とマスタリング予防と治療戦略のメカニズムと臨床的症状を理解することによってのみ、心臓の健康をよりよく保護できます。
- 病態生理 - 虚血 - 再灌流障害
虚血再灌流損傷は、臓器や組織が血液供給を回復すると、細胞機能と代謝障害、構造的損傷が悪化する現象です。その主なメカニズムには、フリーラジカル生成の増加、カルシウム過負荷、および微小血管および白血球の役割が含まれます。心臓と脳は一般的な損傷した臓器であり、心筋の代謝と超微細構造の変化、心機能の低下などの変化として現れます。予防と制御の測定には、フリーラジカルの除去、カルシウム過負荷の減少、代謝の改善、低温、低温、低圧などの再灌流条件の制御が含まれます。これらのメカニズムを理解することは、効果的な治療オプションの開発に役立ち、虚血性損傷を軽減するのに役立ちます。
The “Three Meetings, Four Basics, and Six Competencies of Mathematics”
- ルミ：10精神的高次元の目覚め
ルミ：精神的な目覚めの10次元。あなたが自分自身を探すのをやめるとき、あなたが探しているのはあなたを探しているので、あなたは宇宙全体を見つけるでしょう。あなたが毎日忍耐することは何でもあなたの精神の深みへの扉を開くことができます。沈黙の中で、私は秘密の領域に滑り込み、私は私の周りの魔法を観察するためにすべてを楽しんだが、何の騒ぎをしなかった。翼で生まれたときに、なぜcraいるのが好きですか？魂には独自の耳があり、心が理解できないことを聞くことができます。すべてへの答えを内向きに求めてください、宇宙のすべてがあなたの中にあります。恋人たちはどこかで会うことはなく、この世界には別れもありません。傷は光があなたの心に入るところです。
- 病態生理 - 心不全
慢性心不全は、心拍数の速度の問題だけではありません！これは、心筋収縮と拡張期機能の減少によって引き起こされ、それが不十分な心拍出量につながり、肺循環の鬱血と全身循環のうっ血を引き起こします。原因、誘導、補償メカニズムまで、心不全の病態生理学的プロセスは複雑で多様です。浮腫を制御し、心臓の前面と後負荷を減らし、心臓の快適機能を改善し、基本的な原因を予防し、治療することにより、この課題に効果的に対応できます。心不全とマスタリング予防と治療戦略のメカニズムと臨床的症状を理解することによってのみ、心臓の健康をよりよく保護できます。
- 病態生理 - 虚血 - 再灌流障害
虚血再灌流損傷は、臓器や組織が血液供給を回復すると、細胞機能と代謝障害、構造的損傷が悪化する現象です。その主なメカニズムには、フリーラジカル生成の増加、カルシウム過負荷、および微小血管および白血球の役割が含まれます。心臓と脳は一般的な損傷した臓器であり、心筋の代謝と超微細構造の変化、心機能の低下などの変化として現れます。予防と制御の測定には、フリーラジカルの除去、カルシウム過負荷の減少、代謝の改善、低温、低温、低圧などの再灌流条件の制御が含まれます。これらのメカニズムを理解することは、効果的な治療オプションの開発に役立ち、虚血性損傷を軽減するのに役立ちます。
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The “Three Meetings, Four Basics, and Six Competencies of Mathematics”
"Three Meetings"
Be able to observe the real world from a mathematical perspective
Mathematics provides people with an observation method to understand and explore the real world, discover quantitative relationships in the real world, and understand the mathematical principles behind natural phenomena.
Mathematical vision is mainly manifested in abstract abilities, including number sense, quantity sense, symbolic awareness, geometric intuition, and spatial concepts.
When you see an apple and two oranges, you can realize that there is a quantitative relationship such as "1" and "2". This is the embodiment of number sense;
Having a relatively accurate perception of the size, length, weight, etc. of objects is a manifestation of the sense of quantity.
Being able to use specific symbols to represent mathematical concepts and operations is symbolic awareness.
Geometric intuition is the use of geometric figures to understand and analyze mathematical problems.
The concept of space is the understanding of the shape, position, size, etc. of objects in space.
Ability to use mathematical thinking to think about the real world
Mathematics provides people with a way of thinking to understand and explain the real world. Through mathematical thinking, we can reveal the essential attributes of objective things and establish a logical connection between mathematics and the real world.
Mathematical thinking is mainly manifested in computing ability, reasoning awareness or reasoning ability.
Computing ability not only refers to accurately performing mathematical operations, but also includes understanding the principles of operations and choosing appropriate computing methods based on actual conditions.
Reasoning ability includes logical reasoning and deductive reasoning. Reasonable reasoning is to make inferences through induction, analogy and other methods based on existing facts and experiences.
By observing the sum of the interior angles of some triangles, infer the sum of the interior angles of all triangles;
For example, deductive reasoning starts from general premises and reaches specific conclusions through logical deduction, such as proving the sum of the interior angles of a specific triangle based on the sum of the interior angles of a triangle theorem.
Able to use mathematical language to express the real world
Mathematics provides people with an expression to describe and communicate the real world. Through the language of mathematics, natural phenomena, quantitative relationships and spatial forms in daily life can be described simply and accurately, and simple concepts can be constructed in real life and other subjects. Mathematical models, express and solve problems, and form reasonable judgments or decisions.
Mathematical language is mainly represented by data awareness or data concept, model awareness or model concept, and application awareness.
Data awareness refers to the sensitivity to data and the ability to recognize the information and patterns contained in the data;
Model awareness is the ability to abstract practical problems into mathematical models and solve and apply them, such as establishing equation models based on actual travel problems to solve;
Application awareness means being able to actively use mathematical knowledge and methods to solve problems in life and recognizing the practical value of mathematics.
"Four Basics"
1. Basic knowledge: basic concepts, theorems, formulas, etc. in mathematics.
2. Basic skills: calculation, reasoning, drawing and other skills in mathematics.
3. Basic ideas: such as the idea of combining numbers and shapes, the idea of classification discussion, the idea of functions and equations, etc.
four major ideas
Function and Equation Thoughts
The idea of functions and equations is to solve problems by establishing functional relationships or using equations;
Classify discussion ideas
The idea of classification discussion is to classify and solve problems according to different situations;
Combining Numbers and Shapes Thoughts
The idea of combining numbers and shapes is to transform numbers and shapes into each other to solve problems intuitively and vividly;
Transformation and Reduction Thoughts
The idea of transformation and reduction is to transform complex problems into simple ones, and unfamiliar problems into familiar ones.
4. Basic activity experience: experience accumulated through mathematical activities, such as inquiry, cooperation, communication, etc.
"Six Qualities"
1. Mathematical abstraction: abstract mathematical concepts and quantitative relationships from specific situations.
2. Logical reasoning: reasoning and argumentation according to logical rules.
3. Mathematical modeling: Use mathematical knowledge to build mathematical models to solve practical problems.
4. Intuitive imagination: Use geometric intuition and spatial imagination to perceive and understand mathematical problems.
5. Mathematical operations: Perform mathematical operations and solve problems.
6. Data analysis: Collect, organize, and analyze data, and extract useful information for inference and decision-making.
Structure chart of six major mathematical literacy in primary school mathematics
number sense
Number sense refers to the ability to understand and use numbers, including the meaning of numbers, representation of numbers, comparison of numbers, number operations, etc.
Sense of quantity
Sense of quantity refers to the ability to feel and understand quantity, including the perception and estimation of length, area, volume, weight, time, etc.
symbolic awareness
Symbolic awareness refers to the ability to understand and use symbols, including the understanding and use of mathematical symbols, operational symbols, relational symbols, etc.
computing power
Operational ability refers to the ability to master and apply mathematical operations, including proficiency in basic operations such as addition, subtraction, multiplication, and division, and the correct use of operation sequences and methods.
Geometrically intuitive
Geometric intuition refers to the ability to understand and solve mathematical problems through graphics, including the understanding and application of graphics, transformation of graphics, positional relationships of graphics, etc.
space concept
Spatial concept refers to the ability to perceive and understand space, including the judgment and description of the location, direction, distance, etc. of objects, as well as the imagination and construction of spatial graphics.