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2014
In this talk we argue that mathematics is essentially software. In fact, from the beginning of mathematics, it was the goal of mathematics to automate problem solving. By systematic and deep thinking, for problems whose solution was difficult in each individual instance, systematic procedures were found that allow to solve each instance without further
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In this talk we argue that mathematics is essentially software. In fact, from the beginning of mathematics, it was the goal of mathematics to automate problem solving. By systematic and deep thinking, for problems whose solution was difficult in each individual instance, systematic procedures were found that allow to solve each instance without further
openaire +1 more source
Math-LLaVA: Bootstrapping Mathematical Reasoning for Multimodal Large Language Models
Conference on Empirical Methods in Natural Language ProcessingLarge language models (LLMs) have demonstrated impressive reasoning capabilities, particularly in textual mathematical problem-solving. However, existing open-source image instruction fine-tuning datasets, containing limited question-answer pairs per ...
Wenhao Shi +7 more
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Orca-Math: Unlocking the potential of SLMs in Grade School Math
arXiv.orgMathematical word problem-solving has long been recognized as a complex task for small language models (SLMs). A recent study hypothesized that the smallest model size, needed to achieve over 80% accuracy on the GSM8K benchmark, is 34 billion parameters.
Arindam Mitra +3 more
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InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning
arXiv.orgThe math abilities of large language models can represent their abstract reasoning ability. In this paper, we introduce and open-source our math reasoning LLMs InternLM-Math which is continue pre-trained from InternLM2.
Huaiyuan Ying +21 more
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Teachers’ self-efficacy beliefs for teaching math: Relations with teacher and student outcomes
Contemporary Educational Psychology, 2020Social cognitive theory posits that teacher self-efficacy beliefs should be related to not only their own well-being outcomes but also classroom processes and student outcomes in the general ecology of the classroom environment.
Harsha N. Perera, J. John
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The Relationship Between Math Anxiety and Math Performance: A Meta-Analytic Investigation
Frontiers in Psychology, 2019 Math anxiety (MA) has been suggested to decrease the math performance of students. However, it remains unclear what factors moderate this relationship. The aim of this research was to explore the link between MA and math performance.
Jing Zhang, Nan Zhao, Qiping Kong
exaly +2 more sources
Common 7B Language Models Already Possess Strong Math Capabilities
arXiv.orgMathematical capabilities were previously believed to emerge in common language models only at a very large scale or require extensive math-related pre-training.
Chen Li +7 more
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Mathematics Teacher: Learning and Teaching PK-12, 2021
Clayton Edwards, Rebecca Robichaux-Davis
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Clayton Edwards, Rebecca Robichaux-Davis
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MARIO: MAth Reasoning with code Interpreter Output - A Reproducible Pipeline
Annual Meeting of the Association for Computational LinguisticsLarge language models (LLMs) have seen considerable advancements in natural language understanding tasks, yet there remains a gap to bridge before attaining true artificial general intelligence, especially concerning shortcomings in mathematical ...
Minpeng Liao +4 more
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Math Learning and Math Anxiety
2023This study examines learning trajectories for math facts and math computational procedures between high and low math anxious individuals.
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