SSP, Institute of Psychology, University of Lausanne, Switzerland.
University Paris VIII, France.
Br J Dev Psychol. 2021 Sep;39(3):380-392. doi: 10.1111/bjdp.12363. Epub 2021 Jan 11.
In this research, 10- to 12- and 13- to 15-year-old children were presented with very simple addition and multiplication problems involving operands from 1 to 4. Critically, the arithmetic sign was presented before the operands in half of the trials, whereas it was presented at the same time as the operands in the other half. Our results indicate that presenting the 'x' sign before the operands of a multiplication problem does not speed up the solving process, irrespective of the age of children. In contrast, presenting the '+' sign before the operands of an addition problem facilitates the solving process, but only in 13 to 15-year-old children. Such priming effects of the arithmetic sign have been previously interpreted as the result of a pre-activation of an automated counting procedure, which can be applied as soon as the operands are presented. Therefore, our results echo previous conclusions of the literature that simple additions but not multiplications can be solved by fast counting procedures. More importantly, we show here that these procedures are possibly convoked automatically by children after the age of 13 years. At a more theoretical level, our results do not support the theory that simple additions are solved through retrieval of the answers from long-term memory by experts. Rather, the development of expertise for mental addition would consist in an acceleration of procedures until automatization.
在这项研究中,研究人员向 10 至 12 岁和 13 至 15 岁的儿童呈现了非常简单的加法和乘法问题,这些问题涉及的操作数为 1 到 4。关键的是,在一半的试验中,算术符号在操作数之前呈现,而在另一半试验中,算术符号与操作数同时呈现。我们的结果表明,无论儿童的年龄如何,在乘法问题的操作数之前呈现“x”符号并不会加快解决过程。相比之下,在加法问题的操作数之前呈现“+”符号会促进解决过程,但仅在 13 至 15 岁的儿童中如此。这种算术符号的启动效应以前被解释为自动计数过程的预先激活的结果,一旦呈现操作数,就可以应用该过程。因此,我们的结果呼应了文献中的先前结论,即简单的加法可以通过快速计数过程来解决,但乘法不行。更重要的是,我们在这里表明,这些过程可能在儿童 13 岁后自动被儿童调用。在更理论的层面上,我们的结果不支持简单加法是通过专家从长期记忆中检索答案来解决的理论。相反,心智加法的专业知识的发展将包括加速程序直到自动化。