零比什么都不多吗? 了解零和整数概念之间的关系,了解零和整数的概念
Nicholas A Vest1, Martha W Alibali1
1Department of Psychology, University of Wisconsin-Madison, Madison, WI 53706, USA.
Journal of experimental child psychology
|August 22, 2024
概括
孩子 孩子 孩子 孩子
科学领域:
- 数学教育教育 数学教育
- 认知发展 认知发展
- 数学理论 数学理论
背景情况:
- 对许多孩子来说,零的概念是一个重大的挑战.
- 了解零是掌握更复杂的数学概念的基础,包括整数.
研究的目的:
- 调查五年级到七年级儿童对零的概念.
- 检查零的概念与整数知识的其他方面之间的关系,如增量逆数原理和算术技能.
主要方法:
- 一项涉及72名美国儿童的研究探讨了他们对零的理解.
- 孩子们的怀孕在开始和短暂的课程后被评估.
- 参与者被随机分配,接受关于零作为"无"或零作为对称点的课程.
主要成果:
- 许多孩子最初将零视为"无" (无概念).
- 对于零的对称概念与更好地理解增量逆数原理和改进的整数算术技能相关.
- 关于零作为对称点的简短课程并没有显著改变概念或改善增量逆知识.
结论:
- 儿童对零的概念化影响他们对整数属性的理解.
- "对称点"概念似乎比"零"概念更有利于整数知识.
- 侧重于零作为对称点的作用的教学干预可能需要进一步的细化才能有效.
相关概念视频
Interval Level of Measurement
14.4K
For effective statistical analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
Data measured using the interval scale are similar to ordinal level data because they have a definite arrangement. However, in the interval level of measurement, the differences between data values are meaningful even though the data does not have a starting point.
Temperature is measured using the interval scale. It is measurable data, and the difference between...
Data measured using the interval scale are similar to ordinal level data because they have a definite arrangement. However, in the interval level of measurement, the differences between data values are meaningful even though the data does not have a starting point.
Temperature is measured using the interval scale. It is measurable data, and the difference between...
14.4K
Natural and Artificial Concepts
137
In psychology, concepts can be divided into two categories: natural and artificial. Natural concepts are formed through direct or indirect experiences. For example, consider the concept of snow. If you live in a place with regular snowfall, such as Essex Junction, Vermont, you know snow through direct experiences. You’ve seen it fall, touched it, shoveled it, and played in it. You recognize its texture, appearance, and even its smell. In contrast, if you live on an island like Saint...
137
Positive, Negative, and Zero Work
18.7K
Work is done on an object when energy is transferred to the object. In other words, work is done when a force acts on a body that undergoes a displacement from one position to another. By definition, the work done by a force is the integral of the force with respect to the displacement along its path. Forces can vary as a function of position, and displacements can occur along various paths between two points. The magnitude of a force multiplied by the cosine of the angle that the force makes...
18.7K
Zeroth Law of Thermodynamics
4.9K
Experimentally, if object A is in equilibrium with object B, and object B is in equilibrium with object C, then object A is in equilibrium with object C. That statement of transitivity is called the "zeroth law of thermodynamics." For example, a cold metal block and a hot metal block are both placed on a metal plate at room temperature. Eventually, the cold block and the plate will be in thermal equilibrium. In addition, the hot block and the plate will be in thermal equilibrium.
4.9K
Concepts and Prototypes
123
The human nervous system handles vast amounts of information by translating sensory stimuli into neural impulses, which the brain processes, creating thoughts expressed through language or stored as memories. The brain also synthesizes information from emotions and memories, which significantly influence thoughts and behaviors. This intricate process creates a comprehensive mental picture.
The brain organizes this information using concepts, which are mental categories grouping linguistic data,...
The brain organizes this information using concepts, which are mental categories grouping linguistic data,...
123
Introduction to z Scores
361
A z score (or standardized value) is measured in units of the standard deviation. It indicates how many standard deviations the value x is above (to the right of) or below (to the left of) the mean, μ. Values of x that are larger than the mean have positive z scores, and values of x that are smaller than the mean have negative z scores. If x equals the mean, then x has a zero z score. It is important to note that the mean of the z scores is zero, and the standard deviation is one.
z scores...
z scores...
361


