Therefore, a new discipline blending computer science, programming, statistics and machine learning should be added to the traditional foundational topics of mathematics and physics.
因此，在传统的数学和物理基础课题之外，应该增加一门融合了计算机科学、编程、统计学和机器学习的新学科。
If you aren't willing to be actively involved in the process of learning mathematics, both inside and outside of the class room, then you will have trouble passing any math class.
如果你不管实在教室外还是在教室内都不愿意融入数学学习的进程，你将会在数学上有大麻烦咯。
In mathematical learning, there are significant positive relations between the level of the learning motivation, strategies consciousness of mathematics and positive answer to difficulty.
数学学习的动机、策略意识、困难应对感与数学成绩呈极其显著的正相关关系。
Instead a utilitarian mix-and-match culture pervades the field given the fact that mathematics education researchers have at their disposal a range of theories and models of learning and teaching.
然而一种实用主义的“混搭”文化遍及这个领域，说明数学教育研究者还是支配了许多学习和教授方面的理论和模型。
Mathematical proposition belong mathematical basic knowledge, which is one of the chief content of mathematics learning.
数学命题属于数学的基础知识范畴，是数学学习的主要内容之一。
These concerns reflect an apparent scepticism that theory-driven research can be relevant to and improve the teaching and learning of mathematics in the classroom.
这些关注明显存在着这样一种怀疑：从理论出发的研究能否提高课堂中的数学教学。
Since 1956, the Institute of Mathematics has increased the exchanges with domestic institutions of higher learning through holding training sessions and receiving teachers for training.
从1956年起，数学研究所就通过举办培训班、讲习班、接待进修教师等方式，密切了与国内高等院校的交流合作。
Recognition capability of how to learn mathematics is the guarantee of efficient mathematical learning.
对于如何学习数学的认识能力是高效数学学习的有效保证。
The incipient learning of mathematics was important to the mathematics transfer, and the knowing level of learning experience was helpful to it.
数学的初始学习对迁移来说是重要的，对学习经验相当程度的熟悉有助于迁移。
The theoretical and practical study on the inquiry learning of mathematics which is based on these phenomena should be considered as the breakthrough of the paper.
基于对窄化和泛化现象的反思，进行数学探究学习的理论构建和实践探索，是本课题研究的突破口和推进轴。
The paper discusses meaning of setting up curriculum about theories of mathematics learning and strategy of studying.
本文讨论了数学学习理论课程设置的重要意义以及研究策略。
Converting students with learning difficulties in mathematics is unavoidable in the quality education of mathematics, which has risen wide spread attention.
数学学习困难学生的转化是数学素质教育中不可回避的一个问题，已经引起了广泛的关注。
In this article the psychology mistake of the mathematics conception learning is analyzed and studied from the point of view of the psychology.
本文从心理学的角度，对数学概念学习的心理性错误做了分析和研究。
Lie group Machine learning (LML) inherit the advantages of manifold learning method and make full use of the Lie group's structure of algebraic and geometry in mathematics.
李群机器学习(LML)既继承了流形学习的优点，又充分利用了李群的代数结构和几何结构的数学本质，自提出以来就引起了许多研究者的关注。
Understanding incorrect behavior in the cause of children's mathematics learning is an environment safeguard to highlight mathematics consciousness.
宽容幼儿数学学习中的“不正确”行为是彰显幼儿数学意识教学的环境保障。
The activities of Mathematics learning strategies.
——数学学习策略的活动性；
During mathematics learning of the first grade junior middle school students, it can foster students' varied mathematical abilities by cultivating good cognitive structure mathematics.
在初一学生数学学习中进行良好认知结构的培养能培养多种数学能力。
All kinds of activities, such as model-making, survey, reading and discuss the selected mathematics historical materials, can make the learning lives more colorful.
指导中可采用多种多样的活动形式比如模型制作、实测、数学史料文本选读与解释、讨论等，使得学习活动丰富多彩。
The optimization mechanism are mainly embodied in optimizing the environment of mathematics learning, optimizing instruction tools, and optimizing mathematics curriculum resources.
现代教育技术对数学教学的优化机制主要体现在优化数学学习环境、优化数学认知工具、优化数学课程资源等三个方面；
On the basis of APOS theory proposed by Dubinsky, a famous mathematic educator, this paper proposed corresponding learning strategy for the concepts of discrete mathematics.
本文基于著名数学教育家杜宾斯基的APOS理论，提出相应的离散数学概念学习策略。
Two related studies were then carried out to examine the effectiveness of this strategy and how this strategy affected student learning of mathematics.
并进一步对这一数学合作教学策略的有效性及其如何促进学生的数学学习进行了研究。
Understanding the meaning of each mathematical symbol is the key to learning mathematics.
理解每一个数学符号的含义是学好数学的关键。
The third part mainly introduces the normal theory of the mathematics conception learning, give us two basic modes of conception learning: conception From and conception Assimilation.
第三部分，文章从心理学的角度，对概念学习的两种基本形式：概念形成、概念同化进行了分析。
From the characteristics of mathematics learning, this paper explores the cognitive factor in three psychological factors which influences mathematics learning.
本文从数学学习的特征出发，着重探讨了影响数学学习的三个心理因素中的认知因素。
The education of learning method on mathematics education is discussed from the three aspects: the keys of teaching, the sources of material, the examples of method.
从教学重点、素材来源、方法例示等方面论述了数学教学中学习方法的培养。
In the light of the development of Discrete Mathematics CAI courseware, the teaching design of the courseware is discussed form the learner's characteristic, the whole design and learning environment.
结合离散数学CAI课件的开发，从分析学习者特征、整体设计和学习环境设计三个主要方面论述了该课件的教学设计。
In the light of the development of Discrete Mathematics CAI courseware, the teaching design of the courseware is discussed form the learner's characteristic, the whole design and learning environment.
结合离散数学CAI课件的开发，从分析学习者特征、整体设计和学习环境设计三个主要方面论述了该课件的教学设计。
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