As children learn to count, they often count wrong. For example, they don't immediately understand order irrelevance. This refers to the fact that

Question

As children learn to count, they often count wrong.  For example, they don't immediately understand order irrelevance. This refers to the fact that

BlackTom AI · Accepted Answer

Order irrelevance means that the order in which you count the to-be-counted items does not matter.

1. Relevant knowledge points and concepts
- One-to-one correspondence: each object must be matched to exactly one counting word.
- Stable order principle: number words are said in a fixed sequence (one, two, three…).
- Cardinality principle: the final number word spoken represents the total number of items.
- Order irrelevance: the count (cardinality) of a set is invariant under reordering of its elements (a mathematical property of sets/permutations).

2. Step-by-step reasoning
- When children count correctly, they establish a one-to-one pairing between each object and a number word while keeping the number-word sequence stable.
- Order irrelevance asserts that if you count objects A, B, C in that order or C, A, B in another order, you will still arrive at the same final number word (for example, “three”).
- This follows from the cardinality principle: the last number word names the total, which depends only on how many distinct objects were paired, not the sequence of pairing.

3. Intermediate steps / examples
- Example: three blocks arranged left-to-right: count → “one, two, three” = 3.
- Rearranged blocks in a circle: count → “one, two, three” = 3.
- Because the same one-to-one mapping was made in both cases, the result is identical.

4. Why the correct answer is correct
- Order irrelevance directly describes that reordering items does not change their count; counting is a measure of cardinality, not of arrangement. Mathematically, cardinality is invariant under permutation.

5. Why other options are incorrect
- Common incorrect beliefs include: “you must count in a particular spatial order” or “changing arrangement changes the number.” These are false because arrangement and sequence of visiting objects do not affect how many objects exist.

6. Conclusion
The correct answer — “the order in which you count the to-be-counted items does not matter.” — is confirmed as it precisely states the order irrelevance principle.

As children learn to count, they often count wrong. For example, they don't immediately understand order irrelevance. This refers to the fact that 单项选择题

类似问题

How many passwords can we generate of lengths from 1 to 5 if we have 27 symbols

A "Yes" or "No" survey has 8 questions. Determine how many different ways there are to complete the survey if at least one question must be answered:(C:1)

The implementation and loading phase of the Database Life Cycle (DBLC) involves _____.

Which of the following parameters is used to determine the concentration of protein in a spectrophotometer?

What are the units of absorbance?

What is the concentration of protein in the stock solution of BSA used for the standard curve?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单