Challenge: a common language model for word math problems lacks mathematical abilities . a data-driven approach to solving word problems is lacking in many areas .
Approach: They propose to train a language model with mathematical abilities to teach word maths . they propose to use semi-formal steps to explain how math results are derived .
Outcome: The proposed model achieves better outcomes than baseline models and on-par with more tailored models.

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MWP-BERT: Numeracy-Augmented Pre-training for Math Word Problem Solving (2022.findings-naacl)

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Challenge: Existing work on math word problem solvers replace real numbers with symbolic placeholders to focus on logic reasoning.
Approach: They propose to inject numerical properties into symbolic placeholders with contextualized representation learning schema to solve number representation dilemma.
Outcome: The proposed model can solve MWP problems on English and Chinese benchmarks.
What BERT Is Not: Lessons from a New Suite of Psycholinguistic Diagnostics for Language Models (2020.tacl-1)

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Challenge: Pretraining by language modeling has become popular but we have yet to understand what language models learn during that process.
Approach: They propose diagnostics that ask questions about information used by language models for generating predictions in context.
Outcome: The proposed diagnostics can be used to study the popular BERT model . they show that the model can distinguish good from bad completions, but struggles with inference and role-based event prediction.
How Fast can BERT Learn Simple Natural Language Inference? (2021.eacl-main)

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Challenge: Efficiency of learning of BERT is very slow due to hidden dataset bias . however, some studies show that it can learn with surface clues/patterns .
Approach: They propose to use a simple entailment judgment case to test whether BERT can learn without hidden dataset bias.
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Syntactic Data Augmentation Increases Robustness to Inference Heuristics (2020.acl-main)

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Challenge: Pretrained neural models lack sensitivity to word order on controlled challenge sets . augmentation methods that improve accuracy on standard training sets may be a problem .
Approach: They propose to augment standard training sets with syntactically informative examples by applying syntastic transformations to sentences from the MNLI corpus.
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Deep Natural Language Feature Learning for Interpretable Prediction (2023.emnlp-main)

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Challenge: Using a small transformer language model, we can break down a complex task into a set of intermediary easier sub-tasks.
Approach: They propose a method to break down a main task into a set of intermediary easier sub-tasks, which are formulated in natural language as binary questions related to the final target task.
Outcome: The proposed method breaks down a complex task into a set of easier sub-tasks, which are formulated in natural language as binary questions related to the final target task.
Augmenting BERT-style Models with Predictive Coding to Improve Discourse-level Representations (2021.emnlp-main)

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Challenge: Existing language models do not produce suitable representations at the discourse level.
Approach: They propose to augment BERT-style language models with a mechanism that allows them to learn suitable discourse-level representations by incorporating top-down connections that operate at the intermediate layers of the network.
Outcome: The proposed approach improves in 6 out of 11 tasks by detecting discourse relationship detection.
Birds have four legs?! NumerSense: Probing Numerical Commonsense Knowledge of Pre-Trained Language Models (2020.emnlp-main)

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Challenge: Recent studies show that pre-trained language models possess certain commonsense and factual knowledge.
Approach: They propose to use pre-trained language models to predict masked words . they introduce a probing task with 13.6k m-word-prediction probes .
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Evaluating Numeracy of Language Models as a Natural Language Inference Task (2025.findings-naacl)

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Challenge: Recent advances in large language models (LLMs) have enhanced their capabilities to solve mathematical problems, but other aspects of numeracy remain underexplored.
Approach: They propose to frame numeracy as a Natural Language Inference task to assess the models’ ability to understand both numbers and language contexts.
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Investigating BERT’s Knowledge of Language: Five Analysis Methods with NPIs (D19-1)

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Challenge: Recent work evaluating sentence representation models' knowledge of grammar has been slower to emerge.
Approach: They propose five experimental methods inspired by prior work evaluating pretrained sentence representation models to examine their grammatical knowledge.
Outcome: The proposed methods show that the model has significant knowledge of the licensing environment but its success varies widely across different methods.
Predicate-Guided Generation for Mathematical Reasoning (2025.emnlp-main)

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Challenge: Experimental results show that Prolog-MATH generates 81.3% solution coverage on Deepseek-V3 .
Approach: They propose a curated corpus to support mathematical reasoning in large language models . they propose supervised fine-tuning followed by GRPO training to address problems that Deepseek-V3 fails to solve.
Outcome: The proposed pipeline achieves 81.3% solution coverage on the Deepseek-V3 training set.

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