Jing Tian

Columbia University

Fraction (mathematics)StatisticsChild developmentPublic policyIntegrated information theorySeries (mathematics)Educational psychologySign (mathematics)Cognitive developmentSign (semiotics)BusinessMathematical economicsType (model theory)Mathematics educationEnumerationMultiplicationPsychologyRisk perceptionDomain (software engineering)CognitionProcess theoryPerspective (graphical)PerceptionPsychological interventionSleep (system call)Test (assessment)Dimension (data warehouse)PsycINFOMortality salienceEnvironmental issueContext (language use)DyscalculiaDecimal arithmeticMathematics instructionMathematical performanceChildhood developmentCultural influenceSchool based interventionPrior learningMathematicsAffect (psychology)SequenceComputer scienceNotationComputationNumerical cognitionPriming (psychology)Rational numberConcept learningPollutionNumeracyAudiologyAir pollutionFunction (mathematics)Contrast (statistics)Division (mathematics)DecimalVirtual learning environmentSubtractionStatistical hypothesis testingTeaching methodEnvironmental planningLearning theoryArithmeticSensory systemSpurious relationshipEnvironmental health

19Publications

5H-index

162Citations

Publications 10

#1Jing TianH-Index: 5

#2David W. BraithwaiteH-Index: 7

Last. Robert S. SieglerH-Index: 100

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#1Robert S. Siegler (BNU: Beijing Normal University)H-Index: 100

#2Soo-hyun Im (Hanyang University)H-Index: 5

Last. David W. Braithwaite (FSU: Florida State University)H-Index: 7

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Children's failure to reason often leads to their mathematical performance being shaped by spurious associations from problem input and overgeneralization of inapplicable procedures rather than by ...

#1Jing Tian (TU: Temple University)H-Index: 5

#2David W. Braithwaite (FSU: Florida State University)H-Index: 7

Last. Robert S. Siegler (Columbia University)H-Index: 100

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Abstract Three rational number notations -- fractions, decimals, and percentages -- have existed in their modern forms for over 300 years, suggesting that each notation serves a distinct function. However, it is unclear what these functions are and how people choose which notation to use in a given situation. In the present article, we propose quantification process theory to account for people’s preferences among fractions, decimals, and percentages. According to this theory, the preferred nota...

#1Chenbo Wang (ECNU: East China Normal University)H-Index: 13

#2Jing Tian (Columbia University)H-Index: 5

Pain is of evolutionary importance to human survival. However, the perception of pain could be changed when death-related thoughts are accessible. Although the influence of mortality salience on pain processing has been investigated in Westerners recently, it is unclear whether this effect is constrained by specific culture context since humans may employ cultural worldviews to defend the existence problem. The current study tested whether and how mortality salience affects pain processing in a ...

#1David W. Braithwaite (CMU: Carnegie Mellon University)H-Index: 7

#2Jing Tian (CMU: Carnegie Mellon University)H-Index: 5

Last. Robert S. Siegler (CMU: Carnegie Mellon University)H-Index: 100

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Many children fail to master fraction arithmetic even after years of instruction. A recent theory of fraction arithmetic (Braithwaite, Pyke, & Siegler, 2017) hypothesized that this poor learning of fraction arithmetic procedures reflects poor conceptual understanding of them. To test this hypothesis, we performed three experiments examining fourth to eighth graders' estimates of fraction sums. We found that roughly half of estimates of sums were smaller than the same child's estimate of one of t...

#1Jing Tian (BNU: Beijing Normal University)H-Index: 5

#2Robert S. Siegler (BNU: Beijing Normal University)H-Index: 100

Many children and adults have difficulty gaining a comprehensive understanding of rational numbers. Although fractions are taught before decimals and percentages in many countries, including the USA, a number of researchers have argued that decimals are easier to learn than fractions and therefore teaching them first might mitigate children’s difficulty with rational numbers in general. We evaluate this proposal by discussing evidence regarding whether decimals are in fact easier to understand t...

#1Jing Tian (BNU: Beijing Normal University)H-Index: 5

#2Robert S. Siegler (BNU: Beijing Normal University)H-Index: 100

Learning fractions is difficult for children in general and especially difficult for children with mathematics difficulties (MD). Recent research on developmental and individual differences in fraction knowledge of children with MD and typically achieving (TA) children has demonstrated that U.S. children with MD start middle school behind their TA peers in fraction understanding and fall further behind during middle school. In contrast, Chinese children, who like the MD children in the United St...

#1Yuyang Zhou (PKU: Peking University)H-Index: 1

#2Yuqin Song (PKU: Peking University)H-Index: 1

Last. Jing Tian (CMU: Carnegie Mellon University)H-Index: 5

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ABSTRACTAir pollution is a serious environmental issue that has been long recognized. Whereas government policies attempt to reduce air pollution by controlling various pollution sources, research on risk perception of air pollution tends to treat air pollution as a single unified risk and neglects the complication of the polluting sources. Previous research consistently demonstrates that lay people have an inaccurate understanding of air pollution and are unwilling to change their behaviors to ...

#1Hugues Lortie-Forgues (Ebor: University of York)H-Index: 6

#2Jing Tian (CMU: Carnegie Mellon University)H-Index: 5

Last. Robert S. Siegler (CMU: Carnegie Mellon University)H-Index: 100

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Abstract Fraction and decimal arithmetic are crucial for later mathematics achievement and for ability to succeed in many professions. Unfortunately, these capabilities pose large difficulties for many children and adults, and students' proficiency in them has shown little sign of improvement over the past three decades. To summarize what is known about fraction and decimal arithmetic and to stimulate greater amounts of research in the area, we devoted this review to analyzing why learning fract...