初中生数学元认知的发展轨迹：两年半追踪研究

doi:10.12139/j.1672-0628.2023.01.009

摘要/Abstract

摘要：

采用问卷法对101名初中生在两年半间数学元认知的发展状况进行5次测试。利用潜类别增长模型等探讨初中生数学元认知的发展轨迹，并考察性别对数学元认知的影响。结果发现：(1) 初中生数学元认知及各成分在初二表现出下降趋势。(2) 初中生数学元认知的发展表现出三种类型，即高−缓慢下降组(32.67%)、中−显著下降组(54.46%)以及低−缓慢下降组(12.87%)。(3) 与女生相比，男生有着更多的数学元认知知识和更高的数学元认知初始水平，且与低−缓慢下降组相比，男生比女生更有可能属于高−缓慢下降组。

关键词: 数学元认知, 初中生, 发展轨迹, 追踪研究

Abstract:

By using the questionnaire method, 101 junior high school students were tested five times on the development of mathematics metacognition in two and a half years. The latent category growth model was used to explore the developmental trajectories of junior high school students’ mathematics metacognition, and to examine the influence of gender on mathematics metacognition. The results showed that: 1) Junior high school students’ mathematics metacognition and its components showed a downward trend in the second year of junior high school. 2) The development of mathematics metacognition of junior high school students showed three types, namely the high-slow decline group (32.67%), the medium-significant decline group (54.46%), and the low-slow decline group (12.87%). 3) Compared with girls, boys had more mathematics metacognition knowledge and a higher initial level of mathematics metacognition, and were more likely to belong to the high-slow decline group than the low-slow decline group.

Key words: mathematics metacognition, junior high school students, developmental trajectory, longitudinal study

中图分类号:

B844

谢云天, 孟凡斐. 初中生数学元认知的发展轨迹：两年半追踪研究[J]. 心理与行为研究, 2023, 21(1): 58-64.

Yuntian XIE, Fanfei MENG. Developmental Trajectories of Mathematics Metacognition Among Junior High School Students: A Two-and-a-half-year Longitudinal Study[J]. Studies of Psychology and Behavior, 2023, 21(1): 58-64.

图/表 7

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	T₁	T₂	T₃	T₄	T₅
男生	67(60.36%)	65(59.63%)	65(60.19%)	63(60.00%)	59(58.42%)
女生	44(39.64%)	44(40.37%)	43(39.81%)	42(40.00%)	42(41.58%)
总体	111	109	108	105	101

	T₁	T₂	T₃	T₄	T₅
男生	67(60.36%)	65(59.63%)	65(60.19%)	63(60.00%)	59(58.42%)
女生	44(39.64%)	44(40.37%)	43(39.81%)	42(40.00%)	42(41.58%)
总体	111	109	108	105	101

	M±SD	1	2	3	4	5
1.MM1	3.00±0.54
2.MM2	3.00±0.53	0.48***
3.MM3	2.85±0.51	0.58***	0.62**
4.MM4	2.73±0.61	0.60***	0.62***	0.61***
5.MM5	2.93±0.60	0.49***	0.45***	0.54***	0.55***
6.性别	0.58±0.50	0.15	0.17	0.17	0.11	0.20*

	M±SD	1	2	3	4	5
1.MM1	3.00±0.54
2.MM2	3.00±0.53	0.48***
3.MM3	2.85±0.51	0.58***	0.62**
4.MM4	2.73±0.61	0.60***	0.62***	0.61***
5.MM5	2.93±0.60	0.49***	0.45***	0.54***	0.55***
6.性别	0.58±0.50	0.15	0.17	0.17	0.11	0.20*

模型	AIC	BIC	aBIC	Entropy	LMR-LRT(p)	BLRT(p)	类别概率
1	859.62	877.92	855.82				1
2	741.51	767.66	736.08	0.75	0.72	<0.001	0.6436/0.3564
3	664.86	698.86	657.80	0.87	<0.01	<0.001	0.3267/0.5446/0.1287
4	665.68	707.52	656.99	0.86	0.22	0.27	0.5347/0.3168/0.1188/0.0297
5	670.17	719.86	659.85	0.78	0.72	1.00	0.0297/0.4753/0.0990/0.3168/0.0792