聋生和听力正常学生解决加减文字题的眼动比较研究

采用EyetinkⅡ眼动记录仪,探讨了聋生与解题正确率高的听力正常学生表征和解决加减文字题的差异。被试为小学3年级学生．聋生12名．听力正常学生8名。研究结果表明：（1）在解决加减文字题时,聋生与解题正确率高的听力正常学生在阅读方式、关注关键信息上有显著差异,很多聋生阅读没规律．漏看文字题的关键信息;（2）聋生解决加减文字题的困难与其不能正确表征文字题的文本有关。     

加减文字题解决研究概述

加减文字题指应用加减法运算解答的简单数学应用题。基本类型有合并题、变化题和比较题。人们主要采用四种方法研究解题过程：解答问题、回忆和构造问题、建立计算机模型和眼动记录。过去研究发现语义类型、年龄、难以理解的词句、问题陈述的简约性、题材个人化、问题陈述结构、数量大小、未知集类型和解答问题的方式等因素显著影响解题过程。人们对解题过程提出了两种理论模型,一是数学知识应用模型,一是语言理解模型     

解答加减文字题中情境复杂性对问题难度的影响

过去人们基于语言复杂性探讨加减文字题的难度成因,本研究将探讨情境复杂性对问题难度的影响。被试为北京市一城区小学二年级共108名学生（男52,女56）,平均年龄8岁4个月。采用2(问题类型：“给”问题和“拿”问题)×2(事件类型：增多事件和减少事件)混合设计。对于“给”问题,增多题中各语句的主语不一致,减少题中一致,对于“拿”问题则相反。根据语言复杂性解释,因为各语句的主语一致有利于加工,“给”问题有减少题加工优势,“拿”问题有增多题加工优势;根据情境复杂性解释,因为减少情境有利于加工,两类问题均有减少题加工优势。实验表明不论“给”问题还是“拿”问题,均有减少题的加工优势,支持情境复杂性解释     

图式化程度对解决代数文字题的影响

本研究探讨了图式化程度即例子的概括化程度对解决代数文字题的影响。结果表明 :(1 )例子的表层类似性与目标问题具有一种格式塔的同型效应 ,容易解决“属性”一一对应的问题。 (2 )由例子表层类似性构成的图式化程度低 ,迁移的范围比较窄 ;由例子结构类似性构成的图式化程度高 ,适用的范围比较宽。 (3 )尽管增加了例子与目标问题的难度 ,由结构类似性形成的代数图式仍然可以比较容易地解决目标问题     

数学教学心理研究的尝试

长期以来,数学教学心理在分析教材结构或是陈述问题中各因素之间的关系时,都明确体现以理解数学概念为重点。认知心理学家布鲁纳、皮亚杰(Piagef)也一致认为:数学原则和问题的阐述以理解概念为基础,则有利于解答数学作业。就是有关学生计算的实验研究也表明:简单的加减运算要提高效率,有赖于数学原则和基础概念的理解;复杂的文字题,由于对概念理解的深浅程度,影响解答问题的速度;甚至运算和文字题解答错误,也与学生对概念的理解密切联系。可见,理解概念     

句子结构与控制动词类型对题元角色指派的影响

扩展论元依存模型认为：语序固定语言的题元角色指派依赖论元的语序线索; 论元线索与动词论元表征不一致时, 题元角色再分析会产生额外的加工负荷。为检验该模型, 本研究采用眼动记录方法, 实验为2 (句子结构：居中、前置) × 2 (控制动词类型：主语控制、宾语控制)被试内设计。通过操纵句子结构, 考察汉语读者对语序线索的依赖性; 通过操纵控制动词类型, 考察汉语论元线索与动词论元表征的一致性对题元角色指派的影响。结果发现：(1)前置结构的句子在名词1、名词2和动词区域的阅读时间和回视次数多于居中结构的句子; (2)宾语控制动词条件在动词和动词后区域的第二遍阅读时间和总回视次数多于主语控制动词条件; (3)在居中结构中, 宾语控制动词条件在名词2和动词区域的阅读时间和回视次数多于主语控制动词条件; 在前置结构中, 宾语控制动词条件在动词后区域的阅读时间多于主语控制动词条件。结果支持扩展论元依存模型。     

儿童解决算术应用题认知加工过程及比较图式形成的实验研究

通过对100名5-9岁儿童解比较题认知加工过程的实验研究,结果表明:1.儿童解比较题认知加工可划分为三级水平。2.问题表征分为动作、表象、符号三种方式,它与数学知识结构建立联系实现数学表征转换,能否实现转换影响算法选择,解题策略具有加性和减性两种类型,存在实物匹配、计数和加法表三个水平。3.比较图式整合为部总关系图式,其水平依照动作、表象、思维顺序发展,结构依照求差集、求比较集、求标准集顺序扩大。4.儿童解比较题困难是因为问题缺少操作动词和儿童不能实现相应的数学表征转换。     

贝叶斯题组随机效应模型的必要性及影响因素

题组模型可以解决传统IRT模型由于题目间局部独立性假设违背时所导致的参数估计偏差。为探讨题组随机效应模型的适用范围, 采用Monte Carlo模拟研究, 分别使用2-PL贝叶斯题组随机效应模型(BTRM)和2-PL贝叶斯模型(BM)对数据进行拟合, 考虑了题组效应、题组长度、题目数量和局部独立题目比例的影响。结果显示：(1) BTRM不受题组效应和题组长度影响, BM对参数估计的误差随题组效应和题组长度增加而增加。(2) BTRM具有一定的普遍性, 且当题组效应大, 题组长, 题目数量大时使用该模型能减少估计误差, 但是当题目数量较小时, 两个模型得到的能力估计误差都较大。(3)当局部独立题目的比例较大时, 两种模型得到的参数估计差异不大。     

多维题组效应Rasch模型

首先, 本文诠释了“题组”的本质即一个存在共同刺激的项目集合。并基于此, 将题组效应划分为项目内单维题组效应和项目内多维题组效应。其次, 本文基于Rasch模型开发了二级评分和多级评分的多维题组效应Rasch模型, 以期较好地处理项目内多维题组效应。最后, 模拟研究结果显示新模型有效合理, 与Rasch题组模型、分部评分模型对比研究后表明：(1)测验存在项目内多维题组效应时, 仅把明显的捆绑式题组效应进行分离而忽略其他潜在的题组效应, 仍会导致参数的偏差估计甚或高估测验信度; (2)新模型更具普适性, 即便当被试作答数据不存在题组效应或只存在项目内单维题组效应, 采用新模型进行测验分析也能得到较好的参数估计结果。     

谁该成为体验型产品网络评论的主角,图片还是文字?

图片、文字是体验型产品网络评论的两种主要形式,但关于两者对消费者影响的研究结论尚存在分歧。本研究基于解释水平理论,通过系列实验揭示了图片、文字评论在不同购买可行性情境下对消费者产品评价的影响,及产品类型(怀旧/非怀旧)的调节作用。结果表明:(1)购买可行性低情境下的消费者受文字评论的影响更大,而购买可行性高情境下的消费者受图片评论的影响更大(实验1a、实验1b和实验2);(2)购买怀旧产品时,购买可行性低情境下的消费者仍受文字评论的影响更大,而购买可行性高情境下的消费者受两类评论的影响无差异;购买非怀旧产品时,购买可行性高情境下的消费者仍受图片评论的影响更大,而购买可行性低情境下的消费者受两类评论的影响无差异(实验3)。本研究表明,当图片、文字评论与购买可行性在解释水平上一致时,影响力最大,且怀旧/非怀旧产品类型会调节这种效应。本研究还讨论了如何在实际中运用此结论。     

Inverse reference in subtraction performance: An analysis from arithmetic word problems

Studies of elementary calculation have shown that adults solve basic subtraction problems faster with problems presented in addition format (e.g., 6?+?_?=?13) than in standard subtraction format (e.g., 13 – 6?=?_). Therefore, it is considered that adults solve subtraction problems by reference to the inverse operation (e.g., for 13 – 6?=?7, “I know that 13 is 6?+?7”) because presenting the subtraction problem in addition format does not require the mental rearrangement of the problem elements into the addition format. In two experiments, we examine whether adults' use of addition to solve subtractions is modulated by the arrangement of minuend and subtrahend, regardless of format. To this end, we used arithmetic word problems since single-digit problems in subtraction format would not allow the subtrahend to appear before the minuend. In Experiment 1, subtractions were presented by arranging minuend and subtrahend according to previous research. In Experiment 2, operands were reversed. The overall results showed that participants benefited from word problems where the subtrahend appears before the minuend, including subtractions in standard subtraction format. These findings add to a growing body of literature that emphasizes the role of inverse reference in adults' performance on subtractions.     

职前教师与在职教师在算术应用题上真实性思考的研究

采用由7道真实性算术应用题构成的测试材料研究了117名职前教师和72名在职教师,首先要求被试解答这些题目,然后评定学生的不同答案。结果表明：1）职前教师与在职教师表现出真实性思考的多重性。2）我国职前教师被试的真实性思考的人数比例为87．5％,高于国外研究所报告的比例。3）在职教师的真实性思考、真实性解答的人数比例都高于职前教师,但没有达到显著性差异;不确定的真实性解答的人数比例极显著地高于职前教师;常规性解答的人数比例显著地低于职前教师。在评定学生解答时、在职教师更愿意接受“不确定”这样一个解题的逻辑性结果,职前教师对常规性解答的态度更为宽容。     

小学生算术应用题上真实性思考及相关因素的研究

采用由7道真实性算术应用题构成的测试材料研究了207名六年级小学生。首先要求被试解答这些题目,然后对给出的不同解答作出评定。结果表明:(1)我国六年级小学生在无提示条件下真实性思考的人数比例是36.6%,显著地高于真实性解答的人数比例27.3%。(2)在解题真实性思考上,优生显著地高于中等生,中等生显著地高于差生;在对不确定真实性解答的评分上,优生显著地高于中等生与差生,在对常规性解答的评分上,优生显著地低于中等生与差生。(3)提示条件显著地提高了学生的真实性思考水平,并且与学生的学业水平存在着显著的交互作用;提示条件不影响学生对不确定真实性解答与常规性解答的评分。     

Sex Selection Technology: A Prediction of Its Use and Effect

We surveyed 281 undergraduates to assess their sexual preference for a firstborn child and their willingness to use sex selection technology. Results indicated overall preference for a boy among these respondents whether or not they indicated a willingness to use reproductive technology. Black women reported a greater willingness to use technology than did White women (p < .05), and older respondents (p < .10) also reported a greater intention to use the technology. Catholics were less willing to use technology than all other religious sects (p < .05). Of the 51 respondents who indicated their willingness to use technology, 73% preferred sons (p < .01). This finding held across sex, race, religion, age, and income levels. Support for the women's movement was unrelated to either preference or projected use of sex selection technology.     

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The development of the concept of time in third, fifth, and seventh graders of two Israeli social groups—advantaged Westerners (n = 144) and disadvantaged Easterners (n = 120)—was compared. Contrary to expectations, no difference in performance was found between the social groups throughout the entire age range. In both groups performance, while far from reaching perfection, increased with age. In addition, disparity between our findings and those of Siegler and Richards cast doubts on the generalizability of the rules they extracted through the rule-assessment method.     

THE EFFECTS OF TEACHING PRECURRENT BEHAVIORS ON CHILDREN'S SOLUTION OF MULTIPLICATION AND DIVISION WORD PROBLEMS

We examined the effects of teaching overt precurrent behaviors on the current operant of solving multiplication and division word problems. Two students were taught four precurrent behaviors (identification of label, operation, larger numbers, and smaller numbers) in a different order, in the context of a multiple baseline design. After meeting criterion on three of the four precurrent skills, the students demonstrated the current operant of correct problem solutions. These skills generalized to novel problems. Correct current operant responses (solutions that matched answers revealed by coloring over the space with a special marker) maintained the precurrent behaviors in the absence of any other programmed reinforcement.     

Inconsistent operations: A weapon of math disruption

Word problems embed a math equation within a short narrative. Due to their structure, both numerical and linguistic factors can contribute to problem difficulty. The present studies explored the role of irrelevant information in word problems, to determine whether its negative impact is due to numerical (foregrounding hypothesis) or linguistic (inconsistent‐operations hypothesis) interference. Across three experiments, participants solved multiplication and division word problems containing irrelevant numerical information, which was either associated or disassociated with the protagonist. Results demonstrated increased solution errors on division problems when irrelevant numbers were disassociated with the protagonist. When memory for numerical information was emphasized, disassociation was specifically impacted low‐working memory individuals. The effect of disassociation on division performance persisted even when irrelevant numbers, but not words, were removed from problems. These results suggest that, even in the presence of numerically interfering information, it is the language of word problems that often drive their difficulty.     

小学生表征数学应用题策略的实验研究

通过一个2(成功与否)×2(提示与否)×2(题型)的混合实验设计,对小学五年级学生解决和差应用题的表征策略进行了研究.结果表明:(1)与比较应用题的表征相类似,小学生对和差应用题的表征也存在着直译策略和问题模型策略;(2)不成功组解题者在表征和差应用题时倾向于运用直译策略,而成功组的解题者更倾向于运用问题模型策略,这导致了成功者与不成功者在列式上的差异,特别是在不一致题型上表现得更明显;(3)在读题前给以“请注意理解这道题的意思”这样简单的提示,对不成功的解题者对和差问题的正确表征并不能起到作用;(4)成功的和差应用题解题者和不成功的解题者在列式正确性的自我评价上存在显著差异.