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Math Word Problem Solving with Explicit Numerical Values

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unpublished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,

doi:10.18653/v1/2021.acl-long.455
fatcat:ra4nau3to5fqdjdtyrbisy7q5e
*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*. ...##
###
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]

2021
*
arXiv
*
pre-print

We inspect non-neural and neural methods to

arXiv:2111.05364v1
fatcat:nyfkosjyx5c4rfctovjp3diify
*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. ...##
###
Exploring the relationship between math anxiety and gender through implicit measurement

2012
*
Frontiers in Human Neuroscience
*

This makes

doi:10.3389/fnhum.2012.00279
pmid:23087633
pmcid:PMC3471121
fatcat:w54raombpvebdmcr57blp2q6be
*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. ...##
###
Ties of math and language: A cognitive developmental perspective
[chapter]

2021
*
Diversity Dimensions in Mathematics and Language Learning
*

, and apply

doi:10.1515/9783110661941-006
fatcat:2sjlq44osffapiwarvv4puuppq
*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*. ...##
###
Nonsymbolic number and cumulative area representations contribute shared and unique variance to symbolic math competence

2012
*
Proceedings of the National Academy of Sciences of the United States of America
*

When people compare

doi:10.1073/pnas.1207212109
pmid:23091023
pmcid:PMC3503215
fatcat:bhpbz2s7rbe27lb7ynyvzbfvmm
*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 ...##
###
A broad look at the literature on math word problem-solving interventions for third graders

2016
*
Cogent Education
*

Though research on effective instruction in

doi:10.1080/2331186x.2015.1135770
fatcat:dgoncrwokjhg3chdb2xcwni76q
*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*. ...##
###
Early Numerical Competencies and Students with Mathematics Difficulty

2012
*
Focus on exceptional children
*

Often, this set of early

doi:10.17161/fec.v44i5.6686
fatcat:t5ik3uhedvhfljdolqlazvpyda
*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). ...##
###
Early Numerical Competencies and Students with Mathematics Difficulty

2012
*
Focus on exceptional children
*

Often, this set of early

doi:10.17161/foec.v44i5.6686
fatcat:2gddlrjhjzfubcwmbjil6blc2e
*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). ...##
###
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]

2017
*
arXiv
*
pre-print

We then present a framework for incorporating such declarative knowledge into

arXiv:1712.09391v1
fatcat:l62qz66xbvgrzmvlsf4r26dc4a
*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*. ...##
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Mapping to Declarative Knowledge for Word Problem Solving

2018
*
Transactions of the Association for Computational Linguistics
*

We then present a framework for incorporating such declarative knowledge into

doi:10.1162/tacl_a_00012
fatcat:naoghwllt5b7xonjv4o7kcioey
*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*. ...##
###
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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