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Math Word Problem Solving with Explicit Numerical Values

Qinzhuo Wu, Qi Zhang, Zhongyu Wei, Xuanjing Huang
2021 Proceedings of the 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing (Volume 1: Long Papers)   unpublished
In recent years, math word problem solving has received considerable attention and achieved promising results, but previous methods rarely take numerical values into consideration.  ...  In this paper, we propose a novel approach called NumS2T, which enhances math word problem solving performance by explicitly incorporating numerical values into a sequence-to-tree network.  ...  They replace all the numbers in the problems with number symbols and ignore the vital information provided by the numerical values in math word problem solving.  ... 
doi:10.18653/v1/2021.acl-long.455 fatcat:ra4nau3to5fqdjdtyrbisy7q5e

Page 451 of Mathematical Reviews Vol. , Issue 96a [page]

1996 Mathematical Reviews  
The author presents an explicit four-step method for the numerical solution of second-order initial value problems.  ...  An explicit four-step phase-fitted method for the numerical integration of second-order initial-value problems. (English summary) J. Comput. Appl. Math. 55 (1994), no. 2, 125-133.  ... 

Page 164 of School Psychology Review Vol. 43, Issue 2 [page]

2014 School Psychology Review  
involving addition and Initiative, include subtraction, and word-problem solving. 164 Instructional Component: Explicit and Systematic Design Principles The second intervention component of Fusion is  ...  solution methods for math problems.  ... 

Page 4179 of Mathematical Reviews Vol. , Issue 99f [page]

1999 Mathematical Reviews  
In order to solve the initial value problem (IVP) for such ODE systems numerically, we need a stiff IVP solver, because the Lipschitz constant asso- ciated with the right-hand side function f becomes increasingly  ...  This method was used for the numerical solution of a system of first-order ODEs with initial values equiv- alent to the above-mentioned problem.  ... 

Towards Tractable Mathematical Reasoning: Challenges, Strategies, and Opportunities for Solving Math Word Problems [article]

Keyur Faldu, Amit Sheth, Prashant Kikani, Manas Gaur, Aditi Avasthi
2021 arXiv   pre-print
We inspect non-neural and neural methods to solve math word problems narrated in a natural language.  ...  The ongoing surge to solve math word problems (MWPs) and hence achieve better mathematical reasoning ability would continue to be a key line of research in the coming time.  ...  Interspersed explanations not only solve the math word problems but also engage users on how to solve them.  ... 
arXiv:2111.05364v1 fatcat:nyfkosjyx5c4rfctovjp3diify

Exploring the relationship between math anxiety and gender through implicit measurement

Orly Rubinsten, Noam Bialik, Yael Solar
2012 Frontiers in Human Neuroscience  
This makes numerical cognition and disabilities an extremely important scientific field with potential application for solving problems in society and education.  ...  Note that there are no norms for emotional values of mathematical words. Targets.  ... 
doi:10.3389/fnhum.2012.00279 pmid:23087633 pmcid:PMC3471121 fatcat:w54raombpvebdmcr57blp2q6be

Ties of math and language: A cognitive developmental perspective [chapter]

Julia Bahnmueller, Júlia Beatriz Lopes-Silva, Vitor Geraldi Haase, Ricardo Moura, Korbinian Moeller
2021 Diversity Dimensions in Mathematics and Language Learning  
, and apply numerical and mathematical concepts, procedures, and (math) facts.  ...  To be able to deal with numbers and mathematical content in a competent and efficient way, a set of concepts, procedures, and (math) facts need to be acquired starting even before (formal) education in  ...  Furthermore, research on, for example, text problem solving nicely illustrates the context-dependency of certain (numerical/mathematical) words.  ... 
doi:10.1515/9783110661941-006 fatcat:2sjlq44osffapiwarvv4puuppq

Nonsymbolic number and cumulative area representations contribute shared and unique variance to symbolic math competence

S. F. Lourenco, J. W. Bonny, E. P. Fernandez, S. Rao
2012 Proceedings of the National Academy of Sciences of the United States of America  
When people compare numerical values under conditions that prevent counting or that do not allow for explicit calculation, their judgments are systematically approximate, with discriminability becoming  ...  Moreover, addition problems solved either exactly with symbolic notation or approximately on nonsymbolic visual displays recruit parietal cortex (14) , with impairments for each following injury or temporary  ...  When people compare numerical values under conditions that prevent counting or that do not allow for explicit calculation, their judgments are systematically approximate, with discriminability becoming  ... 
doi:10.1073/pnas.1207212109 pmid:23091023 pmcid:PMC3503215 fatcat:bhpbz2s7rbe27lb7ynyvzbfvmm

A broad look at the literature on math word problem-solving interventions for third graders

Sheri Kingsdorf, Jennifer Krawec, Kris Gritter
2016 Cogent Education  
Though research on effective instruction in math word problem solving is prominent at the middle and secondary levels, much less work has been done in elementary grades.  ...  In this article, we review the research on varied problem-solving instructional interventions at the third-grade level for students across ability levels.  ...  math word problems.  ... 
doi:10.1080/2331186x.2015.1135770 fatcat:dgoncrwokjhg3chdb2xcwni76q

Early Numerical Competencies and Students with Mathematics Difficulty

Sarah R. Powell, Lynn S. Fuchs
2012 Focus on exceptional children  
Often, this set of early numerical competencies is referred to as number sense or early numeracy competencies.  ...  Children start elementary school with variable mathematics ski11s.  ...  (i.e., solving problems with numbers and symbols).  ... 
doi:10.17161/fec.v44i5.6686 fatcat:t5ik3uhedvhfljdolqlazvpyda

Early Numerical Competencies and Students with Mathematics Difficulty

Sarah R. Powell, Lynn S. Fuchs
2012 Focus on exceptional children  
Often, this set of early numerical competencies is referred to as number sense or early numeracy competencies.  ...  Children start elementary school with variable mathematics ski11s.  ...  (i.e., solving problems with numbers and symbols).  ... 
doi:10.17161/foec.v44i5.6686 fatcat:2gddlrjhjzfubcwmbjil6blc2e

Page 2252 of Mathematical Reviews Vol. , Issue 94d [page]

1994 Mathematical Reviews  
The latter is found to be vulnerable to word-length problems when it is used to solve high-order bound- ary value problems.  ...  (MRC-UMI; Oujda) Numerical methods for special nonlinear boundary value problems of order 2m. (English summary) J. Comput. Appl. Math. 47 (1993), no. 1, 35-45.  ... 

Mapping to Declarative Knowledge for Word Problem Solving [article]

Subhro Roy, Dan Roth
2017 arXiv   pre-print
We then present a framework for incorporating such declarative knowledge into word problem solving.  ...  Math word problems form a natural abstraction to a range of quantitative reasoning problems, such as understanding financial news, sports results, and casualties of war.  ...  Automatic Word Problem Solving There has been a growing interest in automatically solving math word problems, with various systems focusing on particular types of problems.  ... 
arXiv:1712.09391v1 fatcat:l62qz66xbvgrzmvlsf4r26dc4a

Mapping to Declarative Knowledge for Word Problem Solving

Subhro Roy, Dan Roth
2018 Transactions of the Association for Computational Linguistics  
We then present a framework for incorporating such declarative knowledge into word problem solving.  ...  Math word problems form a natural abstraction to a range of quantitative reasoning problems, such as understanding financial news, sports results, and casualties of war.  ...  Automatic Word Problem Solving There has been a growing interest in automatically solving math word problems, with various systems focusing on particular types of problems.  ... 
doi:10.1162/tacl_a_00012 fatcat:naoghwllt5b7xonjv4o7kcioey

Page 297 of Journal of Engineering Mathematics Vol. 44, Issue 3 [page]

2002 Journal of Engineering Mathematics  
Evans [2] obtained an explicit solution, when the obstacle is in the form of a submerged thin vertical plate, by using the complex-variable technique leading to solving a Riemann-Hilbert boundary-value  ...  Porter [3] obtained an explicit solution for an obstacle in the form of a thin vertical wall with a gap, by using an integral-equation formulation based on an appropriate use of Green’s integral theorem  ... 
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